



  

<!DOCTYPE html>
<html
  lang="en"
  
  data-color-mode="auto" data-light-theme="light" data-dark-theme="dark"
  data-a11y-animated-images="system" data-a11y-link-underlines="true"
  
  >




  <head>
    <meta charset="utf-8">
  <link rel="dns-prefetch" href="https://github.githubassets.com">
  <link rel="dns-prefetch" href="https://avatars.githubusercontent.com">
  <link rel="dns-prefetch" href="https://github-cloud.s3.amazonaws.com">
  <link rel="dns-prefetch" href="https://user-images.githubusercontent.com/">
  <link rel="preconnect" href="https://github.githubassets.com" crossorigin>
  <link rel="preconnect" href="https://avatars.githubusercontent.com">

<script type="importmap">{"imports":{"react":"https://github.githubassets.com/assets/react-e27d1b3e03961e68.js","react-dom":"https://github.githubassets.com/assets/react-dom-e5fd46a22d5c4058.js","react-dom/client":"https://github.githubassets.com/assets/react-dom-client-1b4a3ee065998cea.js","react-is":"https://github.githubassets.com/assets/react-is-e0b593954b4706d8.js","react-reconciler":"https://github.githubassets.com/assets/react-reconciler-8e99e505c4429605.js","react/compiler-runtime":"https://github.githubassets.com/assets/react-compiler-runtime-4610bd6d3de9c049.js","react/jsx-dev-runtime":"https://github.githubassets.com/assets/react-jsx-dev-runtime-ea55d68667d559e5.js","react/jsx-runtime":"https://github.githubassets.com/assets/react-jsx-runtime-4915cb0f5b3aff04.js","scheduler":"https://github.githubassets.com/assets/scheduler-58b860b049ca307c.js"}}</script>
<meta name="react-profiling" content="0" data-turbo-transient="true" />
<meta name="react-import-map" content="react,react-dom,react-dom/client,react-dom/profiling,react-is,react-reconciler,react/compiler-runtime,react/jsx-dev-runtime,react/jsx-runtime,scheduler@777f63f87cd0" data-turbo-track="reload" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/react-e27d1b3e03961e68.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/react-compiler-runtime-4610bd6d3de9c049.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/scheduler-58b860b049ca307c.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/react-dom-e5fd46a22d5c4058.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/react-dom-client-1b4a3ee065998cea.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/react-is-e0b593954b4706d8.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/react-jsx-runtime-4915cb0f5b3aff04.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/react-reconciler-8e99e505c4429605.js" />

  


  <link crossorigin="anonymous" media="all" rel="stylesheet" href="https://github.githubassets.com/assets/light-5c4e9fc574bf49f3.css" /><link crossorigin="anonymous" media="all" rel="stylesheet" href="https://github.githubassets.com/assets/light_high_contrast-fb37c309e0603a69.css" /><link crossorigin="anonymous" media="all" rel="stylesheet" href="https://github.githubassets.com/assets/dark-afff6c53aef9b9d1.css" /><link crossorigin="anonymous" media="all" rel="stylesheet" href="https://github.githubassets.com/assets/dark_high_contrast-c409873d7987dffa.css" /><link data-color-theme="light" crossorigin="anonymous" media="all" rel="stylesheet" data-href="https://github.githubassets.com/assets/light-5c4e9fc574bf49f3.css" /><link data-color-theme="light_high_contrast" crossorigin="anonymous" media="all" rel="stylesheet" data-href="https://github.githubassets.com/assets/light_high_contrast-fb37c309e0603a69.css" /><link data-color-theme="light_colorblind" crossorigin="anonymous" media="all" rel="stylesheet" data-href="https://github.githubassets.com/assets/light_colorblind-0f910d8806d5761b.css" /><link data-color-theme="light_colorblind_high_contrast" crossorigin="anonymous" media="all" rel="stylesheet" data-href="https://github.githubassets.com/assets/light_colorblind_high_contrast-a7abd4d4c49ac593.css" /><link data-color-theme="light_tritanopia" crossorigin="anonymous" media="all" rel="stylesheet" data-href="https://github.githubassets.com/assets/light_tritanopia-5fc4c4a9cb41e596.css" /><link data-color-theme="light_tritanopia_high_contrast" crossorigin="anonymous" media="all" rel="stylesheet" data-href="https://github.githubassets.com/assets/light_tritanopia_high_contrast-ed0cee9214dedabd.css" /><link data-color-theme="dark" crossorigin="anonymous" media="all" rel="stylesheet" data-href="https://github.githubassets.com/assets/dark-afff6c53aef9b9d1.css" /><link data-color-theme="dark_high_contrast" crossorigin="anonymous" media="all" rel="stylesheet" data-href="https://github.githubassets.com/assets/dark_high_contrast-c409873d7987dffa.css" /><link data-color-theme="dark_colorblind" crossorigin="anonymous" media="all" rel="stylesheet" data-href="https://github.githubassets.com/assets/dark_colorblind-78a2491d538dab5a.css" /><link data-color-theme="dark_colorblind_high_contrast" crossorigin="anonymous" media="all" rel="stylesheet" data-href="https://github.githubassets.com/assets/dark_colorblind_high_contrast-c26b63d7c532d0a2.css" /><link data-color-theme="dark_tritanopia" crossorigin="anonymous" media="all" rel="stylesheet" data-href="https://github.githubassets.com/assets/dark_tritanopia-a6f60cea68c08405.css" /><link data-color-theme="dark_tritanopia_high_contrast" crossorigin="anonymous" media="all" rel="stylesheet" data-href="https://github.githubassets.com/assets/dark_tritanopia_high_contrast-f66faf28b2ea18b6.css" /><link data-color-theme="dark_dimmed" crossorigin="anonymous" media="all" rel="stylesheet" data-href="https://github.githubassets.com/assets/dark_dimmed-6701f6218c53cf5b.css" /><link data-color-theme="dark_dimmed_high_contrast" crossorigin="anonymous" media="all" rel="stylesheet" data-href="https://github.githubassets.com/assets/dark_dimmed_high_contrast-7037fa46ae124d97.css" />

  <style type="text/css">
    :root {
      --tab-size-preference: 4;
    }

    pre, code {
      tab-size: var(--tab-size-preference);
    }
  </style>

    <link crossorigin="anonymous" media="all" rel="stylesheet" href="https://github.githubassets.com/assets/primer-primitives-97df7784617ce1ea.css" />
    <link crossorigin="anonymous" media="all" rel="stylesheet" href="https://github.githubassets.com/assets/primer-9be9fe6313f476af.css" />
    <link crossorigin="anonymous" media="all" rel="stylesheet" href="https://github.githubassets.com/assets/global-62747e27e61258dc.css" />
    <link crossorigin="anonymous" media="all" rel="stylesheet" href="https://github.githubassets.com/assets/github-b04ca6fccda778e2.css" />
  <link crossorigin="anonymous" media="all" rel="stylesheet" href="https://github.githubassets.com/assets/repository-72bd7d974b5ac1cc.css" />
<link crossorigin="anonymous" media="all" rel="stylesheet" href="https://github.githubassets.com/assets/code-4c5c0895f723f870.css" />

  

  <script type="application/json" id="client-env">{"locale":"en","featureFlags":["actions_caches_react_shell","actions_enable_background_steps","actions_new_hosted_runner_image_select_sizes_and_versions","actions_runners_react_shell","agent_author_search_expansion","agent_author_search_expansion_ui_pulls","alternate_user_config_repo","async_conversion_coverage_enabled","billing_billable_licenses_cost_center_bucket_fix","billing_budget_expiration","billing_cost_center_list_assigned_resources","billing_discount_threshold_notification","code_quality_enablement_banner_targeting","code_quality_remove_preview","code_view_raf_sticky_lines","codespaces_prebuild_region_target_update","coding_agent_third_party_model_ui","copilot_agent_snippy","copilot_ahp_tool_call_timing","copilot_api_agentic_issue_marshal_yaml","copilot_automation_repo_mcp_servers","copilot_automations_pagination","copilot_base_model_policy_row","copilot_chat_auto_mode_v2","copilot_chat_clear_model_selection_for_default_change","copilot_chat_early_task_provisioning","copilot_chat_persist_session_drafts","copilot_chat_vision_dotcom_chat_ga_gate","copilot_css_textarea_autosize","copilot_custom_copilots","copilot_custom_copilots_feature_preview","copilot_duplicate_thread","copilot_extensions_removal_on_marketplace","copilot_fix_failed_workflows_all_skus","copilot_hide_hovercard","copilot_immersive_task_hyperlinking","copilot_mc_cli_resume_any_users_task","copilot_mission_control_agent_merge_fix_ci","copilot_mission_control_agent_merge_resolve_conflicts","copilot_mission_control_awps_batching","copilot_mission_control_early_stop","copilot_mission_control_managed_sandbox_environments","copilot_mission_control_needs_attention","copilot_mission_control_reasoning_effort","copilot_mission_control_sandbox_remote_bypass","copilot_mission_control_task_alive_updates","copilot_mission_control_task_sharing","copilot_org_policy_page_focus_mode","copilot_share_active_subthread","copilot_spaces_ga","copilot_spaces_individual_policies_ga","copilot_swe_agent_authorization_status_ui","copilot_swe_agent_automation_resource_scoped_writes","copilot_swe_agent_discussion_comment_trigger","copilot_swe_agent_discussion_opened_trigger","copilot_swe_agent_discussion_updated_trigger","copilot_swe_agent_hide_model_picker_if_only_auto","copilot_swe_agent_issue_assigned_trigger","copilot_swe_agent_issue_comment_trigger","copilot_swe_agent_issue_labeled_trigger","copilot_swe_agent_pr_comment_model_picker","copilot_swe_agent_pull_request_assigned_trigger","copilot_swe_agent_pull_request_comment_trigger","copilot_swe_agent_pull_request_labeled_trigger","copilot_swe_agent_pull_request_merged_trigger","copilot_swe_agent_pull_request_opened_trigger","copilot_swe_agent_pull_request_ready_for_review_trigger","copilot_swe_agent_pull_request_review_requested_trigger","copilot_swe_agent_pull_request_review_submitted_trigger","copilot_swe_agent_pull_request_synchronize_trigger","copilot_swe_agent_sub_issue_added_trigger","copilot_swe_agent_use_subagents","copilot_task_api_github_rest_style","copilot_task_scoped_alive_channel","copilot_token_based_billing","copilot_unconfigured_is_inherited","copilot_user_can_upgrade_plan_field","copilot_web_integration_cutover","copilot_workbench_sunset_redirect","dashboard_agents_module_auth_token_check","dashboard_indexeddb_caching","fgpat_permissions_selector_redesign","glc_code_quality_repo_settings_workflow_config","hyperspace_2025_logged_out_batch_1","hyperspace_2025_logged_out_batch_2","hyperspace_2025_logged_out_batch_3","in_product_messaging_datadog_monitoring","ipm_ubb_individual_budget_banner","issue_fields_multi_select","issue_inline_avatars","issue_pinned_views","issue_pinned_views_team_vs_personal","issue_relative_time_micro","issue_viewer_paved_path","issues_expanded_file_types","issues_hide_closed_sub_issues","issues_lazy_load_comment_box_suggestions","issues_react_chrome_container_query_fix","labels_archiving","labels_archiving_info","landing_pages_ninetailed","lifecycle_label_name_updates","marketing_cookie_consent_banner","marketing_pages_search_explore_provider","memex_default_issue_create_repository","memex_live_update_hovercard","memex_mwl_filter_field_delimiter","memex_remove_deprecated_type_issue","merge_queue_restricted_pushers_warning","merge_status_header_feedback","milestone_closed_issues_prioritization","octocaptcha_origin_optimization","primer_react_css_anchor_positioning","primer_react_merged_forwarded_refs","primer_react_timeline_list_semantics","prs_copilot_app_open_action","prs_css_anchor_positioning","pull_request_copilot_attribution_header","pull_request_overview_merge_control","pull_request_overview_panel_edit_description","pull_request_persister","pull_request_stacks_navigation_shortcuts","pull_request_virtualization_image_estimate","pull_request_virtualization_loader_batching","pull_request_virtualization_scroll_compensation","pull_request_virtualization_scroll_intent","quick_search_lazy_suggestions","react_blob_isolate_code_lines","react_blob_ssr_content_visibility","react_data_router_tanstack_allowed","react_logged_out_repository_header","react_query_props_with_key","react_sandbox_future_tanstack","repo_app_turbo","repo_issues_sidebar_layout","repo_pulls_dashboard_declutter","repo_pulls_dashboard_ga","repo_pulls_dashboard_persistence","repos_contributors_limited_default_range","review_involves_filter","rule_ignored_file_paths","rulesets_actor_list_editor","sample_network_conn_type","security_center_artifact_filters_popover","see_who_reacted","semantic_similarity_duplicate_issue_detection","session_logs_ungroup_reasoning_text","set_sha256_on_repo_creation_form","site_banner_desktop_copilot_app","site_ghca_pixel_mona","site_github_app_ga_page","site_github_app_ga_page_highlight","site_github_app_mobile_native_share","site_global_banner_dev_days_attendee","site_global_nav_spark_models_removed","speculation_rules_ui_service","suggest_custom_property_values_copilot","suppress_automated_browser_vitals","swp_forms_disable_octocaptcha","thread_resolution_reason","update_issue_suggestions","viewscreen_sandbox","warn_inaccessible_attachments","webp_support","workstream_plugin_bootstrap"],"githubDomain":"https://github.com","copilotApiOverrideUrl":"https://api.githubcopilot.com","cmcApiUrl":"https://api.github.com/cmc_internal/api"}</script>
<script crossorigin="anonymous" type="module" src="https://github.githubassets.com/assets/high-contrast-cookie-3663bcaacc724f4c.js"></script>
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/wp-runtime-721126455a2225e3.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/app-foundation-156c6259e31cc551.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/app-runtime-f6ce38f47c2e1d56.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/fetch-utilities-804a14996977c014.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/ser-fb5d13278eb42203.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/tp-ea613009a991e211.js" />
<script crossorigin="anonymous" type="module" src="https://github.githubassets.com/assets/environment-107a7753389a8a2d.js" defer="defer"></script>
<link crossorigin="anonymous" media="all" rel="stylesheet" href="https://github.githubassets.com/assets/app-runtime.25915bc98fb322a6.module.css" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/catalyst-52ed81112a548e10.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/selector-observer-e8810f64c443fb9b.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/relative-time-element-fe7e72f699fdf493.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/by-9da36843ba9d191d.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/ja9-9a1160b939f2cd52.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/3h-55903cf2303047ad.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/hk-0d35a1220587d888.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/jz5-c964b1a3671f2a92.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/hj-1d800d09e9a8720a.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/j0-1ad12374da9777f2.js" />
<script crossorigin="anonymous" type="module" src="https://github.githubassets.com/assets/github-elements-531d35538b61fd0d.js" defer="defer"></script>
<script crossorigin="anonymous" type="module" src="https://github.githubassets.com/assets/element-registry-bf5e3b2aee197122.js" defer="defer"></script>
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/runtime-helpers-5e0b3ae3c4036207.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/aria-live-752acdc868e2da64.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/hotkey-e87ffadced20a3c9.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/react-core-75bc55d9971828b7.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/a9-34620c7b13885011.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/ur-643d2814115561a9.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/4t6-5d0869970ac0aac0.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/pb0-a5c5ec36d311aeef.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/6n-afcf86ccabc4cad2.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/zj-f08c728cf00018aa.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/o6-2a1c68d269710ee9.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/h9a-c6405aa090de0e84.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/vy6-3c3e6e96629c2ce4.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/js-4eb97d5803e657c0.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/g7-baf9e817ae102b01.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/unc-96389cade7bad821.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/nu-65322a6997c6c93c.js" />
<script crossorigin="anonymous" type="module" src="https://github.githubassets.com/assets/behaviors-5dd3809b5c8bac3c.js" defer="defer"></script>
<link crossorigin="anonymous" media="all" rel="stylesheet" href="https://github.githubassets.com/assets/react-core.3792087592bf207a.module.css" />
<script crossorigin="anonymous" type="module" src="https://github.githubassets.com/assets/code-menu-4318f0f4c608f3dd.js" defer="defer"></script>
  
  <link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/primer-react-7afef75d393cf294.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/op-acddf38478d45ef9.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/ncx-461e4b09f2e67ee5.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/qmp-c7cfba40cf5a93b0.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/j6-148a74299e5a01ab.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/t7l-a52ba56147f77909.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/4u-ec4874f70bfd5d76.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/s0-481bd34f90bc2bd7.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/y5-ed17e73b4c0bd15e.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/n4-be595475cdbf7d4b.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/j8-23a3c5ff8eef412d.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/la-27679061f16e1495.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/iu-9806a0291a782cbe.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/ftx-39fb490e3c1d778f.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/zi-32a0c3c081ea5cce.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/sg-7a5d50475874c0e1.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/pd-6a8710840033e042.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/86g-ec28c25ed7d5de06.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/sn-1bab7384818953b7.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/iq-6d4ecf6d2fb6993c.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/p2-7d8e7cee5b46cb45.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/7d-2e3cc25d719f3a95.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/4d-76d8acdf21a33266.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/tsb-e0f6288ab985d9d2.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/lf-910ef220ce85c660.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/2j-2f19c1afd2ceaf93.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/me-f1476ec44a29f34a.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/p2u-e654a57b1a70c47d.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/5d-d97cc006d4da4d9b.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/r5-38f013bc2c0fd298.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/r6s-9039f5619230a653.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/9e-cece06724bf6ea3b.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/x9-3e077a3a37a73f9f.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/pj-87629cb5389d7663.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/eq-3764fd5f66494289.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/13-d889936dff7e5c0f.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/44-8193eea4af825ead.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/v4-9c1327d212e52a0d.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/id-7f39706ba9007db6.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/ah-271362a1ed227d03.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/s1g-d434d712bca59d3a.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/vz-d7f4a583896f872e.js" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/47-c8c0ce2700acc5be.js" />
<script crossorigin="anonymous" type="module" src="https://github.githubassets.com/assets/code-view-4118a687d0150749.js" defer="defer"></script>
<link crossorigin="anonymous" media="all" rel="stylesheet" href="https://github.githubassets.com/assets/primer-react-css.2d881b4d4a503d1c.module.css" />
<link crossorigin="anonymous" media="all" rel="stylesheet" href="https://github.githubassets.com/assets/pj.75627bfeb9ceb1da.module.css" />
<link crossorigin="anonymous" media="all" rel="stylesheet" href="https://github.githubassets.com/assets/ah.2623f7c6ecbe2ecd.module.css" />
<link crossorigin="anonymous" media="all" rel="stylesheet" href="https://github.githubassets.com/assets/47.78770c57a48a810c.module.css" />
<link crossorigin="anonymous" media="all" rel="stylesheet" href="https://github.githubassets.com/assets/code-view.37656c95a9729fb9.module.css" />


  <title>ML-For-Beginners/2-Regression/1-Tools/README.md at main · laserwang/ML-For-Beginners · GitHub</title>



  <meta name="route-pattern" content="/:user_id/:repository/blob/*name(/*path)" data-turbo-transient>
  <meta name="route-controller" content="blob" data-turbo-transient>
  <meta name="route-action" content="show" data-turbo-transient>
  <meta name="fetch-nonce" content="v2:d655d3f5-de8c-6c85-f0ce-4be5740ca8d3">

    
  <meta name="current-catalog-service-hash" content="f3abb0cc802f3d7b95fc8762b94bdcb13bf39634c40c357301c4aa1d67a256fb">


  <meta name="request-id" content="8E98:256C02:ACCDC15:E1675B0:6ACA5FD7" data-pjax-transient="true"/><meta name="html-safe-nonce" content="be576c55e13e2a70c01866fbac02aa072f036a1181e588dd4fd2993a0d82476b" data-pjax-transient="true"/><meta name="visitor-payload" content="eyJyZWZlcnJlciI6IiIsInJlcXVlc3RfaWQiOiI4RTk4OjI1NkMwMjpBQ0NEQzE1OkUxNjc1QjA6NkFDQTVGRDciLCJ2aXNpdG9yX2lkIjoiNjI3MDkyMTQ5MjU2NjUzMjA1NSIsInJlZ2lvbl9lZGdlIjoiZnJhIiwicmVnaW9uX3JlbmRlciI6ImZyYSJ9" data-pjax-transient="true"/><meta name="visitor-hmac" content="a52b2f678736417a920aa03758ce60a9b5f7186d1e3945054ac0c269e56c99ea" data-pjax-transient="true"/>


    <meta name="hovercard-subject-tag" content="repository:1120647655" data-turbo-transient>


  <meta name="github-keyboard-shortcuts" content="repository,source-code,file-tree,copilot" data-turbo-transient="true" />
  

  <meta name="selected-link" value="repo_source" data-turbo-transient>
  <link rel="assets" href="https://github.githubassets.com/">

    <meta name="google-site-verification" content="Apib7-x98H0j5cPqHWwSMm6dNU4GmODRoqxLiDzdx9I">

<meta name="octolytics-url" content="https://collector.github.com/github/collect" />





  <meta name="analytics-location" content="/&lt;user-name&gt;/&lt;repo-name&gt;/blob/show" data-turbo-transient="true" />

  




    <meta name="user-login" content="">

  

    <meta name="viewport" content="width=device-width">

    

      <meta name="description" content="12 weeks, 26 lessons, 52 quizzes, classic Machine Learning for all - ML-For-Beginners/2-Regression/1-Tools/README.md at main · laserwang/ML-For-Beginners">

      <link rel="search" type="application/opensearchdescription+xml" href="/opensearch.xml" title="GitHub">

    <link rel="fluid-icon" href="https://github.com/fluidicon.png" title="GitHub">
    <meta property="fb:app_id" content="1401488693436528">
    <meta name="apple-itunes-app" content="app-id=1477376905, app-argument=https://github.com/laserwang/ML-For-Beginners/blob/main/2-Regression/1-Tools/README.md" />

      <meta name="twitter:image" content="https://opengraph.githubassets.com/00459a08fc4a142113dd2899cffd98e32a18dff93850fbfe1418ffbcc65201ae/laserwang/ML-For-Beginners" /><meta name="twitter:site" content="@github" /><meta name="twitter:card" content="summary_large_image" /><meta name="twitter:title" content="ML-For-Beginners/2-Regression/1-Tools/README.md at main · laserwang/ML-For-Beginners" /><meta name="twitter:description" content="12 weeks, 26 lessons, 52 quizzes, classic Machine Learning for all - laserwang/ML-For-Beginners" />
  <meta property="og:image" content="https://opengraph.githubassets.com/00459a08fc4a142113dd2899cffd98e32a18dff93850fbfe1418ffbcc65201ae/laserwang/ML-For-Beginners" /><meta property="og:image:alt" content="12 weeks, 26 lessons, 52 quizzes, classic Machine Learning for all - laserwang/ML-For-Beginners" /><meta property="og:image:width" content="1200" /><meta property="og:image:height" content="600" /><meta property="og:site_name" content="GitHub" /><meta property="og:type" content="object" /><meta property="og:title" content="ML-For-Beginners/2-Regression/1-Tools/README.md at main · laserwang/ML-For-Beginners" /><meta property="og:url" content="https://github.com/laserwang/ML-For-Beginners/blob/main/2-Regression/1-Tools/README.md" /><meta property="og:description" content="12 weeks, 26 lessons, 52 quizzes, classic Machine Learning for all - laserwang/ML-For-Beginners" />
  




      <meta name="hostname" content="github.com">



        <meta name="expected-hostname" content="github.com">


  <meta http-equiv="x-pjax-version" content="d05be8f8b6905b6460fc264e80447721dfee1e32cf9e4291c4bf58f160c9f705" data-turbo-track="reload">
  <meta http-equiv="x-pjax-csp-version" content="c4a65e47b0c850e1157ae8e66298070851d7e3b558038de5a3b4ff7a93e630ed" data-turbo-track="reload">
  <meta http-equiv="x-pjax-css-version" content="a80b0545b169f440b929ce2b977c76b6988f014cca6513fb83c5df6581635fb3" data-turbo-track="reload">
  <meta http-equiv="x-pjax-js-version" content="af51c6f9d659be0324665373df3ee542f817dbd7f66f352a087935f2ceabe545" data-turbo-track="reload">

  <meta name="turbo-cache-control" content="no-preview" data-turbo-transient="">

      <meta name="turbo-cache-control" content="no-cache" data-turbo-transient>

    <meta data-hydrostats="publish">

  <meta name="go-import" content="github.com/laserwang/ML-For-Beginners git https://github.com/laserwang/ML-For-Beginners.git">

  <meta name="octolytics-dimension-user_id" content="40209744" /><meta name="octolytics-dimension-user_login" content="laserwang" /><meta name="octolytics-dimension-repository_id" content="1120647655" /><meta name="octolytics-dimension-repository_nwo" content="laserwang/ML-For-Beginners" /><meta name="octolytics-dimension-repository_public" content="true" /><meta name="octolytics-dimension-repository_is_fork" content="true" /><meta name="octolytics-dimension-repository_parent_id" content="343965132" /><meta name="octolytics-dimension-repository_parent_nwo" content="microsoft/ML-For-Beginners" /><meta name="octolytics-dimension-repository_network_root_id" content="343965132" /><meta name="octolytics-dimension-repository_network_root_nwo" content="microsoft/ML-For-Beginners" />
  



    

    <meta name="turbo-body-classes" content="logged-out env-production page-responsive">
  <meta name="disable-turbo" content="false">


  <meta name="browser-stats-url" content="https://api.github.com/_private/browser/stats">


  <meta name="browser-errors-url" content="https://api.github.com/_private/browser/errors">

  <meta name="release" content="3b1bb5b10f5c7fd1769d56e38b15dfddb34052a8" data-turbo-track="reload">
  <meta name="ui-target" content="full">

  <link rel="mask-icon" href="https://github.githubassets.com/assets/pinned-octocat-093da3e6fa40.svg" color="#000000">
  <link rel="alternate icon" class="js-site-favicon" type="image/png" href="https://github.githubassets.com/favicons/favicon.png">
  <link rel="icon" class="js-site-favicon" type="image/svg+xml" href="https://github.githubassets.com/favicons/favicon.svg" data-base-href="https://github.githubassets.com/favicons/favicon">

<meta name="theme-color" content="#1e2327">
<meta name="color-scheme" content="light dark" />


  <link rel="manifest" href="/manifest.json" crossOrigin="use-credentials">

  </head>

  <body class="logged-out env-production page-responsive" style="word-wrap: break-word;" >
    <div data-turbo-body class="logged-out env-production page-responsive" style="word-wrap: break-word;" >
      <div id="__primerPortalRoot__" style="z-index: 1000; position: absolute; width: 100%;" data-turbo-permanent></div>
      

    <div class="position-relative header-wrapper js-header-wrapper ">
      <a href="#start-of-content" data-skip-target-assigned="false" class="px-2 tmp-py-4 color-bg-accent-emphasis color-fg-on-emphasis show-on-focus js-skip-to-content">Skip to content</a>

      <span data-view-component="true" class="progress-pjax-loader Progress position-fixed width-full">
    <span style="width: 0%;" data-view-component="true" class="Progress-item progress-pjax-loader-bar left-0 top-0 color-bg-accent-emphasis"></span>
</span>      
      <link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/19-c660652a0a1639be.js" fetchpriority="low" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/keyboard-shortcuts-dialog-47c5223d8d1af8ef.js" fetchpriority="low" />
<link crossorigin="anonymous" media="all" rel="stylesheet" href="https://github.githubassets.com/assets/primer-react-css.2d881b4d4a503d1c.module.css" />
<link crossorigin="anonymous" media="all" rel="stylesheet" href="https://github.githubassets.com/assets/keyboard-shortcuts-dialog.d53d993320d57e14.module.css" />

<react-partial
  partial-name="keyboard-shortcuts-dialog"
  data-ssr="false"
  data-attempted-ssr="false"
  data-react-profiling="false"
>
  
  <script type="application/json" data-target="react-partial.embeddedData">{"props":{"docsUrl":"https://docs.github.com/get-started/accessibility/keyboard-shortcuts"}}</script>
  <div data-target="react-partial.reactRoot"></div>
</react-partial>





      

          <link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/app-install-banner-partial-3c87deb7f0f20434.js" fetchpriority="low" />
<link crossorigin="anonymous" media="all" rel="stylesheet" href="https://github.githubassets.com/assets/primer-react-css.2d881b4d4a503d1c.module.css" />
<link crossorigin="anonymous" media="all" rel="stylesheet" href="https://github.githubassets.com/assets/app-install-banner-partial.7b357012e82003e7.module.css" />

<react-partial
  partial-name="app-install-banner-partial"
  data-ssr="false"
  data-attempted-ssr="false"
  data-react-profiling="false"
>
  
  <script type="application/json" data-target="react-partial.embeddedData">{"props":{}}</script>
  <div data-target="react-partial.reactRoot"></div>
</react-partial>


          

                <link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/et9-7eeec247c287fca4.js" fetchpriority="low" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/94v-e20946127faa8f6e.js" fetchpriority="low" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/fz5-892a9e99cc92858d.js" fetchpriority="low" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/jag-441e702bfd4c7904.js" fetchpriority="low" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/hw-8ce7888b57d0a23c.js" fetchpriority="low" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/rq-0ec82a12cf538a4d.js" fetchpriority="low" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/1m-a7a4c022483b2713.js" fetchpriority="low" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/marketing-header-70703fe17422eb58.js" fetchpriority="low" />
<link crossorigin="anonymous" media="all" rel="stylesheet" href="https://github.githubassets.com/assets/primer-react-css.2d881b4d4a503d1c.module.css" />
<link crossorigin="anonymous" media="all" rel="stylesheet" href="https://github.githubassets.com/assets/primer-react-brand-css.fbc35b3d20e988ff.module.css" />
<link crossorigin="anonymous" media="all" rel="stylesheet" href="https://github.githubassets.com/assets/1m.fec8b575d0e5234f.module.css" />

<react-partial
  partial-name="marketing-header"
  data-ssr="true"
  data-attempted-ssr="true"
  data-react-profiling="false"
>
  
  <script type="application/json" data-target="react-partial.embeddedData">{"props":{"color_mode":"dark","logged_in":false,"marketing_page":false,"home_path":"/","login_path":"/login?return_to=https%3A%2F%2Fgithub.com%2Flaserwang%2FML-For-Beginners%2Fblob%2Fmain%2F2-Regression%2F1-Tools%2FREADME.md","signup_path":"/signup?ref_cta=Sign+up\u0026ref_loc=header+logged+out\u0026ref_page=%2F%3Cuser-name%3E%2F%3Crepo-name%3E%2Fblob%2Fshow\u0026source=header-repo\u0026source_repo=laserwang%2FML-For-Beginners","signup_enabled":true,"is_signup_controller":false,"show_search_and_nav":true,"hide_search":false,"private_mode_enabled":false,"should_use_dotcom_links":true,"auth_hydro_click":"{\"event_type\":\"authentication.click\",\"payload\":{\"location_in_page\":\"site header menu\",\"repository_id\":null,\"auth_type\":\"SIGN_UP\",\"originating_url\":\"https://github.com/laserwang/ML-For-Beginners/blob/main/2-Regression/1-Tools/README.md\",\"user_id\":null}}","auth_hydro_click_hmac":"5111460123d44a6dc2674792b1fa243ddf5d2dd125b60995938e08114d48a39c","overlay":false,"fixed":false}}</script>
  <div data-target="react-partial.reactRoot"><div data-color-mode="dark" data-light-theme="light" data-dark-theme="dark"><header class="MarketingHeader-module__root__Tk7n3 HeaderMktg header-logged-out" role="banner" data-marketing-header="true" data-color-mode="dark" data-light-theme="light" data-dark-theme="dark" data-is-top="true"><h2 class="MarketingHeader-module__visuallyHidden__sqKsl">Navigation Menu</h2><button type="button" class="MarketingHeader-module__backdrop__sw4RU" aria-label="Close navigation menu"></button><div class="MarketingHeader-module__bar__mBSyE"><div class="MarketingHeader-module__topRow__yeury"><div class="MarketingHeader-module__toggleSlot__hDxbh"><button type="button" class="HeaderMenuToggle-module__toggle__i8EiC" aria-label="Toggle navigation" aria-expanded="false"><span class="HeaderMenuToggle-module__toggleBar__jVN0H"></span><span class="HeaderMenuToggle-module__toggleBar__jVN0H"></span><span class="HeaderMenuToggle-module__toggleBar__jVN0H"></span></button></div><a href="/" aria-label="Homepage" class="HeaderLogo-module__logo__UFyHI" data-analytics-event="{&quot;action&quot;:&quot;homepage&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;logo&quot;,&quot;location&quot;:&quot;header&quot;,&quot;label&quot;:&quot;homepage_link_logo_header&quot;}"><svg data-component="Octicon" aria-hidden="true" focusable="false" class="octicon octicon-mark-github" viewBox="0 0 24 24" width="32" height="32" fill="currentColor" display="inline-block" overflow="visible" style="vertical-align:text-bottom"><path d="M10.226 17.284c-2.965-.36-5.054-2.493-5.054-5.256 0-1.123.404-2.336 1.078-3.144-.292-.741-.247-2.314.09-2.965.898-.112 2.111.36 2.83 1.01.853-.269 1.752-.404 2.853-.404 1.1 0 1.999.135 2.807.382.696-.629 1.932-1.1 2.83-.988.315.606.36 2.179.067 2.942.72.854 1.101 2 1.101 3.167 0 2.763-2.089 4.852-5.098 5.234.763.494 1.28 1.572 1.28 2.807v2.336c0 .674.561 1.056 1.235.786 4.066-1.55 7.255-5.615 7.255-10.646C23.5 6.188 18.334 1 11.978 1 5.62 1 .5 6.188.5 12.545c0 4.986 3.167 9.12 7.435 10.669.606.225 1.19-.18 1.19-.786V20.63a2.9 2.9 0 0 1-1.078.224c-1.483 0-2.359-.808-2.987-2.313-.247-.607-.517-.966-1.034-1.033-.27-.023-.359-.135-.359-.27 0-.27.45-.471.898-.471.652 0 1.213.404 1.797 1.235.45.651.921.943 1.483.943.561 0 .92-.202 1.437-.719.382-.381.674-.718.944-.943"></path></svg></a><div class="AuthCTAs-module__mobileActions__NNzeV"><a class="Primer_Brand__Button-module__Button___scH9Z Primer_Brand__Button-module__Button--subtle___F7pEE Primer_Brand__Button-module__Button--size-small___zQrEw AuthCTAs-module__cta__WpwQq" href="/login?return_to=https%3A%2F%2Fgithub.com%2Flaserwang%2FML-For-Beginners%2Fblob%2Fmain%2F2-Regression%2F1-Tools%2FREADME.md" data-analytics-event="{&quot;action&quot;:&quot;sign_in&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;auth_cta&quot;,&quot;location&quot;:&quot;header&quot;,&quot;label&quot;:&quot;sign_in_link_auth_cta_header&quot;}" data-hydro-click="{&quot;event_type&quot;:&quot;authentication.click&quot;,&quot;payload&quot;:{&quot;location_in_page&quot;:&quot;site header menu&quot;,&quot;repository_id&quot;:null,&quot;auth_type&quot;:&quot;SIGN_UP&quot;,&quot;originating_url&quot;:&quot;https://github.com/laserwang/ML-For-Beginners/blob/main/2-Regression/1-Tools/README.md&quot;,&quot;user_id&quot;:null}}" data-hydro-click-hmac="5111460123d44a6dc2674792b1fa243ddf5d2dd125b60995938e08114d48a39c"><span class="Primer_Brand__Button-module__Button__text___ED0bX"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--100___B2ueX Primer_Brand__Text-module__Text--weight-medium___qJKf_ Primer_Brand__Button-module__Button--label___qrkyz Primer_Brand__Button-module__Button--label-subtle___8ndWH">Sign in</span></span></a><button class="Primer_Brand__Button-module__Button___scH9Z Primer_Brand__Button-module__Button--subtle___F7pEE Primer_Brand__Button-module__Button--size-small___zQrEw HeaderAppearanceSettings-module__trigger__hUheK" type="button" aria-haspopup="dialog" aria-labelledby="_R_3dd_"><span class="Primer_Brand__Button-module__Button__leading-visual___jjtTe" data-testid="Button-leading-visual"><svg data-component="Octicon" focusable="false" aria-hidden="true" class="octicon octicon-sliders Primer_Brand__Button-module__Button__icon-visual____qybb" viewBox="0 0 16 16" width="16" height="16" fill="currentColor" display="inline-block" overflow="visible" style="vertical-align:text-bottom"><path d="M15 2.75a.75.75 0 0 1-.75.75h-4a.75.75 0 0 1 0-1.5h4a.75.75 0 0 1 .75.75Zm-8.5.75v1.25a.75.75 0 0 0 1.5 0v-4a.75.75 0 0 0-1.5 0V2H1.75a.75.75 0 0 0 0 1.5H6.5Zm1.25 5.25a.75.75 0 0 0 0-1.5h-6a.75.75 0 0 0 0 1.5h6ZM15 8a.75.75 0 0 1-.75.75H11.5V10a.75.75 0 1 1-1.5 0V6a.75.75 0 0 1 1.5 0v1.25h2.75A.75.75 0 0 1 15 8Zm-9 5.25v-2a.75.75 0 0 0-1.5 0v1.25H1.75a.75.75 0 0 0 0 1.5H4.5v1.25a.75.75 0 0 0 1.5 0v-2Zm9 0a.75.75 0 0 1-.75.75h-6a.75.75 0 0 1 0-1.5h6a.75.75 0 0 1 .75.75Z"></path></svg></span><span class="Primer_Brand__Button-module__Button__text___ED0bX"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--100___B2ueX Primer_Brand__Text-module__Text--weight-medium___qJKf_ Primer_Brand__Button-module__Button--label___qrkyz Primer_Brand__Button-module__Button--label-subtle___8ndWH"></span></span></button><div class="Primer_Brand__Tooltip-module__Tooltip___0Eipx" data-direction="s" aria-hidden="true" id="_R_3dd_">Appearance settings</div></div></div><div class="MarketingHeader-module__menu__GIy3y"><div class="MarketingHeader-module__menuWrapper__owstH"><nav class="MarketingNavigation-module__nav__W0KYY" aria-label="Global"><ul class="MarketingNavigation-module__list__tFbMb"><li><div class="NavDropdown-module__container__l2YeI"><button type="button" class="NavDropdown-module__button__PEHWX" aria-expanded="false" aria-controls="_R_nd_">Platform<svg data-component="Octicon" aria-hidden="true" focusable="false" class="octicon octicon-triangle-right NavDropdown-module__buttonIcon__Tkl8_" viewBox="0 0 16 16" width="16" height="16" fill="currentColor" display="inline-block" overflow="visible" style="vertical-align:text-bottom"><path d="m6.427 4.427 3.396 3.396a.25.25 0 0 1 0 .354l-3.396 3.396A.25.25 0 0 1 6 11.396V4.604a.25.25 0 0 1 .427-.177Z"></path></svg></button><div id="_R_nd_" class="NavDropdown-module__dropdown__xm1jd"><ul class="NavDropdown-module__list__zuCgG"><li><div class="NavGroup-module__group__W8SqJ"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--monospace___QXHDQ Primer_Brand__Text-module__Text--muted___rE6mh Primer_Brand__Text-module__Text--100___B2ueX Primer_Brand__Text-module__Text--weight-medium___qJKf_ NavGroup-module__title__Wzxz2" id="_R_5knd_">AI CODE CREATION</span><ul class="NavGroup-module__list__UCOFy" aria-labelledby="_R_5knd_"><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0 NavLink-module__link__EG3d4" href="https://github.com/features/copilot" data-analytics-event="{&quot;action&quot;:&quot;github_copilot&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;platform&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;github_copilot_link_platform_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Text-module__Text--weight-medium___qJKf_ NavLink-module__title__Q7t0p"><svg data-component="Octicon" aria-hidden="true" focusable="false" class="octicon octicon-copilot NavLink-module__icon__ltGNM" viewBox="0 0 16 16" width="16" height="16" fill="currentColor" display="inline-block" overflow="visible" style="vertical-align:text-bottom"><path d="M7.998 15.035c-4.562 0-7.873-2.914-7.998-3.749V9.338c.085-.628.677-1.686 1.588-2.065.013-.07.024-.143.036-.218.029-.183.06-.384.126-.612-.201-.508-.254-1.084-.254-1.656 0-.87.128-1.769.693-2.484.579-.733 1.494-1.124 2.724-1.261 1.206-.134 2.262.034 2.944.765.05.053.096.108.139.165.044-.057.094-.112.143-.165.682-.731 1.738-.899 2.944-.765 1.23.137 2.145.528 2.724 1.261.566.715.693 1.614.693 2.484 0 .572-.053 1.148-.254 1.656.066.228.098.429.126.612.012.076.024.148.037.218.924.385 1.522 1.471 1.591 2.095v1.872c0 .766-3.351 3.795-8.002 3.795Zm0-1.485c2.28 0 4.584-1.11 5.002-1.433V7.862l-.023-.116c-.49.21-1.075.291-1.727.291-1.146 0-2.059-.327-2.71-.991A3.222 3.222 0 0 1 8 6.303a3.24 3.24 0 0 1-.544.743c-.65.664-1.563.991-2.71.991-.652 0-1.236-.081-1.727-.291l-.023.116v4.255c.419.323 2.722 1.433 5.002 1.433ZM6.762 2.83c-.193-.206-.637-.413-1.682-.297-1.019.113-1.479.404-1.713.7-.247.312-.369.789-.369 1.554 0 .793.129 1.171.308 1.371.162.181.519.379 1.442.379.853 0 1.339-.235 1.638-.54.315-.322.527-.827.617-1.553.117-.935-.037-1.395-.241-1.614Zm4.155-.297c-1.044-.116-1.488.091-1.681.297-.204.219-.359.679-.242 1.614.091.726.303 1.231.618 1.553.299.305.784.54 1.638.54.922 0 1.28-.198 1.442-.379.179-.2.308-.578.308-1.371 0-.765-.123-1.242-.37-1.554-.233-.296-.693-.587-1.713-.7Z"></path><path d="M6.25 9.037a.75.75 0 0 1 .75.75v1.501a.75.75 0 0 1-1.5 0V9.787a.75.75 0 0 1 .75-.75Zm4.25.75v1.501a.75.75 0 0 1-1.5 0V9.787a.75.75 0 0 1 1.5 0Z"></path></svg>GitHub Copilot</span><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--muted___rE6mh Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS NavLink-module__subtitle__X4gkW">Write better code with AI</span></span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0 NavLink-module__link__EG3d4" href="https://github.com/features/ai/github-app" data-analytics-event="{&quot;action&quot;:&quot;github_copilot_app&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;platform&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;github_copilot_app_link_platform_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Text-module__Text--weight-medium___qJKf_ NavLink-module__title__Q7t0p"><svg data-component="Octicon" aria-hidden="true" focusable="false" class="octicon octicon-mark-github NavLink-module__icon__ltGNM" viewBox="0 0 16 16" width="16" height="16" fill="currentColor" display="inline-block" overflow="visible" style="vertical-align:text-bottom"><path d="M6.766 11.328c-2.063-.25-3.516-1.734-3.516-3.656 0-.781.281-1.625.75-2.188-.203-.515-.172-1.609.063-2.062.625-.078 1.468.25 1.968.703.594-.187 1.219-.281 1.985-.281.765 0 1.39.094 1.953.265.484-.437 1.344-.765 1.969-.687.218.422.25 1.515.046 2.047.5.593.766 1.39.766 2.203 0 1.922-1.453 3.375-3.547 3.64.531.344.89 1.094.89 1.954v1.625c0 .468.391.734.86.547C13.781 14.359 16 11.53 16 8.03 16 3.61 12.406 0 7.984 0 3.563 0 0 3.61 0 8.031a7.88 7.88 0 0 0 5.172 7.422c.422.156.828-.125.828-.547v-1.25c-.219.094-.5.156-.75.156-1.031 0-1.64-.562-2.078-1.609-.172-.422-.36-.672-.719-.719-.187-.015-.25-.093-.25-.187 0-.188.313-.328.625-.328.453 0 .844.281 1.25.86.313.452.64.655 1.031.655s.641-.14 1-.5c.266-.265.47-.5.657-.656"></path></svg>GitHub Copilot app</span><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--muted___rE6mh Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS NavLink-module__subtitle__X4gkW">Direct agents from issue to merge</span></span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0 NavLink-module__link__EG3d4" href="https://github.com/mcp" data-analytics-event="{&quot;action&quot;:&quot;mcp_registry&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;platform&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;mcp_registry_link_platform_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Text-module__Text--weight-medium___qJKf_ NavLink-module__title__Q7t0p"><svg data-component="Octicon" aria-hidden="true" focusable="false" class="octicon octicon-mcp NavLink-module__icon__ltGNM" viewBox="0 0 16 16" width="16" height="16" fill="currentColor" display="inline-block" overflow="visible" style="vertical-align:text-bottom"><path d="M5.52 1.12a3.578 3.578 0 0 1 6.078 2.98 3.578 3.578 0 0 1 2.982 6.08l-3.292 3.293a.252.252 0 0 0 0 .354l.843.843a.749.749 0 1 1-1.06 1.06l-.844-.843a1.75 1.75 0 0 1 0-2.474L13.52 9.12a2.08 2.08 0 0 0 0-2.94 2.08 2.08 0 0 0-2.94 0L7.731 9.03A.75.75 0 0 1 6.67 7.97l2.85-2.85a2.08 2.08 0 0 0 0-2.94 2.08 2.08 0 0 0-2.94 0l-4.799 4.8A.75.75 0 0 1 .72 5.92Z"></path><path d="M7.52 3.12a.749.749 0 1 1 1.06 1.06L5.731 7.03A2.079 2.079 0 0 0 8.67 9.97l2.85-2.85a.749.749 0 1 1 1.06 1.06l-2.849 2.85A3.578 3.578 0 0 1 4.67 5.97Z"></path></svg>MCP Registry</span><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--muted___rE6mh Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS NavLink-module__subtitle__X4gkW">Integrate external tools</span></span></a></li></ul></div></li><li><div class="NavGroup-module__group__W8SqJ"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--monospace___QXHDQ Primer_Brand__Text-module__Text--muted___rE6mh Primer_Brand__Text-module__Text--100___B2ueX Primer_Brand__Text-module__Text--weight-medium___qJKf_ NavGroup-module__title__Wzxz2" id="_R_9knd_">DEVELOPER WORKFLOWS</span><ul class="NavGroup-module__list__UCOFy" aria-labelledby="_R_9knd_"><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0 NavLink-module__link__EG3d4" href="https://github.com/features/actions" data-analytics-event="{&quot;action&quot;:&quot;actions&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;platform&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;actions_link_platform_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Text-module__Text--weight-medium___qJKf_ NavLink-module__title__Q7t0p"><svg data-component="Octicon" aria-hidden="true" focusable="false" class="octicon octicon-workflow NavLink-module__icon__ltGNM" viewBox="0 0 16 16" width="16" height="16" fill="currentColor" display="inline-block" overflow="visible" style="vertical-align:text-bottom"><path d="M0 1.75C0 .784.784 0 1.75 0h3.5C6.216 0 7 .784 7 1.75v3.5A1.75 1.75 0 0 1 5.25 7H4v4a1 1 0 0 0 1 1h4v-1.25C9 9.784 9.784 9 10.75 9h3.5c.966 0 1.75.784 1.75 1.75v3.5A1.75 1.75 0 0 1 14.25 16h-3.5A1.75 1.75 0 0 1 9 14.25v-.75H5A2.5 2.5 0 0 1 2.5 11V7h-.75A1.75 1.75 0 0 1 0 5.25Zm1.75-.25a.25.25 0 0 0-.25.25v3.5c0 .138.112.25.25.25h3.5a.25.25 0 0 0 .25-.25v-3.5a.25.25 0 0 0-.25-.25Zm9 9a.25.25 0 0 0-.25.25v3.5c0 .138.112.25.25.25h3.5a.25.25 0 0 0 .25-.25v-3.5a.25.25 0 0 0-.25-.25Z"></path></svg>Actions</span><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--muted___rE6mh Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS NavLink-module__subtitle__X4gkW">Automate any workflow</span></span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0 NavLink-module__link__EG3d4" href="https://github.com/features/codespaces" data-analytics-event="{&quot;action&quot;:&quot;codespaces&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;platform&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;codespaces_link_platform_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Text-module__Text--weight-medium___qJKf_ NavLink-module__title__Q7t0p"><svg data-component="Octicon" aria-hidden="true" focusable="false" class="octicon octicon-codespaces NavLink-module__icon__ltGNM" viewBox="0 0 16 16" width="16" height="16" fill="currentColor" display="inline-block" overflow="visible" style="vertical-align:text-bottom"><path d="M0 11.25c0-.966.784-1.75 1.75-1.75h12.5c.966 0 1.75.784 1.75 1.75v3A1.75 1.75 0 0 1 14.25 16H1.75A1.75 1.75 0 0 1 0 14.25Zm2-9.5C2 .784 2.784 0 3.75 0h8.5C13.216 0 14 .784 14 1.75v5a1.75 1.75 0 0 1-1.75 1.75h-8.5A1.75 1.75 0 0 1 2 6.75Zm1.75-.25a.25.25 0 0 0-.25.25v5c0 .138.112.25.25.25h8.5a.25.25 0 0 0 .25-.25v-5a.25.25 0 0 0-.25-.25Zm-2 9.5a.25.25 0 0 0-.25.25v3c0 .138.112.25.25.25h12.5a.25.25 0 0 0 .25-.25v-3a.25.25 0 0 0-.25-.25Z"></path><path d="M7 12.75a.75.75 0 0 1 .75-.75h4.5a.75.75 0 0 1 0 1.5h-4.5a.75.75 0 0 1-.75-.75Zm-4 0a.75.75 0 0 1 .75-.75h.5a.75.75 0 0 1 0 1.5h-.5a.75.75 0 0 1-.75-.75Z"></path></svg>Codespaces</span><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--muted___rE6mh Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS NavLink-module__subtitle__X4gkW">Instant dev environments</span></span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0 NavLink-module__link__EG3d4" href="https://github.com/features/issues" data-analytics-event="{&quot;action&quot;:&quot;issues&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;platform&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;issues_link_platform_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Text-module__Text--weight-medium___qJKf_ NavLink-module__title__Q7t0p"><svg data-component="Octicon" aria-hidden="true" focusable="false" class="octicon octicon-issue-opened NavLink-module__icon__ltGNM" viewBox="0 0 16 16" width="16" height="16" fill="currentColor" display="inline-block" overflow="visible" style="vertical-align:text-bottom"><path d="M8 9.5a1.5 1.5 0 1 0 0-3 1.5 1.5 0 0 0 0 3Z"></path><path d="M8 0a8 8 0 1 1 0 16A8 8 0 0 1 8 0ZM1.5 8a6.5 6.5 0 1 0 13 0 6.5 6.5 0 0 0-13 0Z"></path></svg>Issues</span><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--muted___rE6mh Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS NavLink-module__subtitle__X4gkW">Plan and track work</span></span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0 NavLink-module__link__EG3d4" href="https://github.com/features/code-review" data-analytics-event="{&quot;action&quot;:&quot;code_review&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;platform&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;code_review_link_platform_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Text-module__Text--weight-medium___qJKf_ NavLink-module__title__Q7t0p"><svg data-component="Octicon" aria-hidden="true" focusable="false" class="octicon octicon-code NavLink-module__icon__ltGNM" viewBox="0 0 16 16" width="16" height="16" fill="currentColor" display="inline-block" overflow="visible" style="vertical-align:text-bottom"><path d="m11.28 3.22 4.25 4.25a.75.75 0 0 1 0 1.06l-4.25 4.25a.749.749 0 0 1-1.275-.326.749.749 0 0 1 .215-.734L13.94 8l-3.72-3.72a.749.749 0 0 1 .326-1.275.749.749 0 0 1 .734.215Zm-6.56 0a.751.751 0 0 1 1.042.018.751.751 0 0 1 .018 1.042L2.06 8l3.72 3.72a.749.749 0 0 1-.326 1.275.749.749 0 0 1-.734-.215L.47 8.53a.75.75 0 0 1 0-1.06Z"></path></svg>Code Review</span><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--muted___rE6mh Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS NavLink-module__subtitle__X4gkW">Manage code changes</span></span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0 NavLink-module__link__EG3d4" href="https://github.com/features/code-quality" data-analytics-event="{&quot;action&quot;:&quot;code_quality&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;platform&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;code_quality_link_platform_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Text-module__Text--weight-medium___qJKf_ NavLink-module__title__Q7t0p"><svg data-component="Octicon" aria-hidden="true" focusable="false" class="octicon octicon-codescan-checkmark NavLink-module__icon__ltGNM" viewBox="0 0 16 16" width="16" height="16" fill="currentColor" display="inline-block" overflow="visible" style="vertical-align:text-bottom"><path d="M10.28 6.28a.75.75 0 1 0-1.06-1.06L6.25 8.19l-.97-.97a.75.75 0 0 0-1.06 1.06l1.5 1.5a.75.75 0 0 0 1.06 0l3.5-3.5Z"></path><path d="M7.5 15a7.5 7.5 0 1 1 5.807-2.754l2.473 2.474a.749.749 0 0 1-.326 1.275.749.749 0 0 1-.734-.215l-2.474-2.473A7.472 7.472 0 0 1 7.5 15Zm0-13.5a6 6 0 1 0 4.094 10.386.748.748 0 0 1 .293-.292 6.002 6.002 0 0 0 1.117-6.486A6.002 6.002 0 0 0 7.5 1.5Z"></path></svg>Code Quality</span><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--muted___rE6mh Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS NavLink-module__subtitle__X4gkW">Enforce quality at merge</span></span></a></li></ul></div></li><li><div class="NavGroup-module__group__W8SqJ"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--monospace___QXHDQ Primer_Brand__Text-module__Text--muted___rE6mh Primer_Brand__Text-module__Text--100___B2ueX Primer_Brand__Text-module__Text--weight-medium___qJKf_ NavGroup-module__title__Wzxz2" id="_R_dknd_">APPLICATION SECURITY</span><ul class="NavGroup-module__list__UCOFy" aria-labelledby="_R_dknd_"><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0 NavLink-module__link__EG3d4" href="https://github.com/security/advanced-security" data-analytics-event="{&quot;action&quot;:&quot;github_advanced_security&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;platform&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;github_advanced_security_link_platform_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Text-module__Text--weight-medium___qJKf_ NavLink-module__title__Q7t0p"><svg data-component="Octicon" aria-hidden="true" focusable="false" class="octicon octicon-shield-check NavLink-module__icon__ltGNM" viewBox="0 0 16 16" width="16" height="16" fill="currentColor" display="inline-block" overflow="visible" style="vertical-align:text-bottom"><path d="m8.533.133 5.25 1.68A1.75 1.75 0 0 1 15 3.48V7c0 1.566-.32 3.182-1.303 4.682-.983 1.498-2.585 2.813-5.032 3.855a1.697 1.697 0 0 1-1.33 0c-2.447-1.042-4.049-2.357-5.032-3.855C1.32 10.182 1 8.566 1 7V3.48a1.75 1.75 0 0 1 1.217-1.667l5.25-1.68a1.748 1.748 0 0 1 1.066 0Zm-.61 1.429.001.001-5.25 1.68a.251.251 0 0 0-.174.237V7c0 1.36.275 2.666 1.057 3.859.784 1.194 2.121 2.342 4.366 3.298a.196.196 0 0 0 .154 0c2.245-.957 3.582-2.103 4.366-3.297C13.225 9.666 13.5 8.358 13.5 7V3.48a.25.25 0 0 0-.174-.238l-5.25-1.68a.25.25 0 0 0-.153 0ZM11.28 6.28l-3.5 3.5a.75.75 0 0 1-1.06 0l-1.5-1.5a.749.749 0 0 1 .326-1.275.749.749 0 0 1 .734.215l.97.97 2.97-2.97a.751.751 0 0 1 1.042.018.751.751 0 0 1 .018 1.042Z"></path></svg>GitHub Advanced Security</span><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--muted___rE6mh Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS NavLink-module__subtitle__X4gkW">Find and fix vulnerabilities</span></span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0 NavLink-module__link__EG3d4" href="https://github.com/security/advanced-security/code-security" data-analytics-event="{&quot;action&quot;:&quot;code_security&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;platform&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;code_security_link_platform_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Text-module__Text--weight-medium___qJKf_ NavLink-module__title__Q7t0p"><svg data-component="Octicon" aria-hidden="true" focusable="false" class="octicon octicon-code-square NavLink-module__icon__ltGNM" viewBox="0 0 16 16" width="16" height="16" fill="currentColor" display="inline-block" overflow="visible" style="vertical-align:text-bottom"><path d="M0 1.75C0 .784.784 0 1.75 0h12.5C15.216 0 16 .784 16 1.75v12.5A1.75 1.75 0 0 1 14.25 16H1.75A1.75 1.75 0 0 1 0 14.25Zm1.75-.25a.25.25 0 0 0-.25.25v12.5c0 .138.112.25.25.25h12.5a.25.25 0 0 0 .25-.25V1.75a.25.25 0 0 0-.25-.25Zm7.47 3.97a.75.75 0 0 1 1.06 0l2 2a.75.75 0 0 1 0 1.06l-2 2a.749.749 0 0 1-1.275-.326.749.749 0 0 1 .215-.734L10.69 8 9.22 6.53a.75.75 0 0 1 0-1.06ZM6.78 6.53 5.31 8l1.47 1.47a.749.749 0 0 1-.326 1.275.749.749 0 0 1-.734-.215l-2-2a.75.75 0 0 1 0-1.06l2-2a.751.751 0 0 1 1.042.018.751.751 0 0 1 .018 1.042Z"></path></svg>Code security</span><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--muted___rE6mh Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS NavLink-module__subtitle__X4gkW">Secure your code as you build</span></span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0 NavLink-module__link__EG3d4" href="https://github.com/security/advanced-security/secret-protection" data-analytics-event="{&quot;action&quot;:&quot;secret_protection&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;platform&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;secret_protection_link_platform_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Text-module__Text--weight-medium___qJKf_ NavLink-module__title__Q7t0p"><svg data-component="Octicon" aria-hidden="true" focusable="false" class="octicon octicon-lock NavLink-module__icon__ltGNM" viewBox="0 0 16 16" width="16" height="16" fill="currentColor" display="inline-block" overflow="visible" style="vertical-align:text-bottom"><path d="M4 4a4 4 0 0 1 8 0v2h.25c.966 0 1.75.784 1.75 1.75v5.5A1.75 1.75 0 0 1 12.25 15h-8.5A1.75 1.75 0 0 1 2 13.25v-5.5C2 6.784 2.784 6 3.75 6H4Zm8.25 3.5h-8.5a.25.25 0 0 0-.25.25v5.5c0 .138.112.25.25.25h8.5a.25.25 0 0 0 .25-.25v-5.5a.25.25 0 0 0-.25-.25ZM10.5 6V4a2.5 2.5 0 1 0-5 0v2Z"></path></svg>Secret protection</span><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--muted___rE6mh Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS NavLink-module__subtitle__X4gkW">Stop leaks before they start</span></span></a></li></ul></div></li><li><div class="NavGroup-module__group__W8SqJ NavGroup-module__hasSeparator__FnMrN"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--monospace___QXHDQ Primer_Brand__Text-module__Text--muted___rE6mh Primer_Brand__Text-module__Text--100___B2ueX Primer_Brand__Text-module__Text--weight-medium___qJKf_ NavGroup-module__title__Wzxz2" id="_R_hknd_">EXPLORE</span><ul class="NavGroup-module__list__UCOFy" aria-labelledby="_R_hknd_"><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0" href="https://github.com/why-github" data-analytics-event="{&quot;action&quot;:&quot;why_github&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;platform&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;why_github_link_platform_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">Why GitHub</span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0 Primer_Brand__Link-module__Link--is-external___xsncV" href="https://docs.github.com" data-analytics-event="{&quot;action&quot;:&quot;documentation&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;platform&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;documentation_link_platform_navbar&quot;}" target="_blank" rel="noreferrer"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">Documentation</span><svg data-component="Octicon" focusable="false" aria-label="External link" class="octicon octicon-link-external" role="img" viewBox="0 0 16 16" width="16" height="16" fill="currentColor" display="inline-block" overflow="visible" style="vertical-align:text-bottom"><path d="M3.75 2h3.5a.75.75 0 0 1 0 1.5h-3.5a.25.25 0 0 0-.25.25v8.5c0 .138.112.25.25.25h8.5a.25.25 0 0 0 .25-.25v-3.5a.75.75 0 0 1 1.5 0v3.5A1.75 1.75 0 0 1 12.25 14h-8.5A1.75 1.75 0 0 1 2 12.25v-8.5C2 2.784 2.784 2 3.75 2Zm6.854-1h4.146a.25.25 0 0 1 .25.25v4.146a.25.25 0 0 1-.427.177L13.03 4.03 9.28 7.78a.751.751 0 0 1-1.042-.018.751.751 0 0 1-.018-1.042l3.75-3.75-1.543-1.543A.25.25 0 0 1 10.604 1Z"></path></svg></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0 Primer_Brand__Link-module__Link--is-external___xsncV" href="https://github.blog" data-analytics-event="{&quot;action&quot;:&quot;blog&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;platform&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;blog_link_platform_navbar&quot;}" target="_blank" rel="noreferrer"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">Blog</span><svg data-component="Octicon" focusable="false" aria-label="External link" class="octicon octicon-link-external" role="img" viewBox="0 0 16 16" width="16" height="16" fill="currentColor" display="inline-block" overflow="visible" style="vertical-align:text-bottom"><path d="M3.75 2h3.5a.75.75 0 0 1 0 1.5h-3.5a.25.25 0 0 0-.25.25v8.5c0 .138.112.25.25.25h8.5a.25.25 0 0 0 .25-.25v-3.5a.75.75 0 0 1 1.5 0v3.5A1.75 1.75 0 0 1 12.25 14h-8.5A1.75 1.75 0 0 1 2 12.25v-8.5C2 2.784 2.784 2 3.75 2Zm6.854-1h4.146a.25.25 0 0 1 .25.25v4.146a.25.25 0 0 1-.427.177L13.03 4.03 9.28 7.78a.751.751 0 0 1-1.042-.018.751.751 0 0 1-.018-1.042l3.75-3.75-1.543-1.543A.25.25 0 0 1 10.604 1Z"></path></svg></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0 Primer_Brand__Link-module__Link--is-external___xsncV" href="https://github.blog/changelog" data-analytics-event="{&quot;action&quot;:&quot;changelog&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;platform&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;changelog_link_platform_navbar&quot;}" target="_blank" rel="noreferrer"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">Changelog</span><svg data-component="Octicon" focusable="false" aria-label="External link" class="octicon octicon-link-external" role="img" viewBox="0 0 16 16" width="16" height="16" fill="currentColor" display="inline-block" overflow="visible" style="vertical-align:text-bottom"><path d="M3.75 2h3.5a.75.75 0 0 1 0 1.5h-3.5a.25.25 0 0 0-.25.25v8.5c0 .138.112.25.25.25h8.5a.25.25 0 0 0 .25-.25v-3.5a.75.75 0 0 1 1.5 0v3.5A1.75 1.75 0 0 1 12.25 14h-8.5A1.75 1.75 0 0 1 2 12.25v-8.5C2 2.784 2.784 2 3.75 2Zm6.854-1h4.146a.25.25 0 0 1 .25.25v4.146a.25.25 0 0 1-.427.177L13.03 4.03 9.28 7.78a.751.751 0 0 1-1.042-.018.751.751 0 0 1-.018-1.042l3.75-3.75-1.543-1.543A.25.25 0 0 1 10.604 1Z"></path></svg></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0" href="https://github.com/marketplace" data-analytics-event="{&quot;action&quot;:&quot;marketplace&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;platform&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;marketplace_link_platform_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">Marketplace</span></a></li></ul></div></li></ul><div class="NavDropdown-module__trailingLinkContainer__VgJGL"><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0 Primer_Brand__Link-module__Link--arrow-end___esdN8" href="https://github.com/features" data-analytics-event="{&quot;action&quot;:&quot;view_all_features&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;platform&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;view_all_features_link_platform_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">View all features</span><svg class="Primer_Brand__ExpandableArrow-module__ExpandableArrow___aaZs9 Primer_Brand__Link-module__Link-arrow___yd78i" width="16" height="16" viewBox="0 0 16 16" fill="none" aria-hidden="true" focusable="false"><path fill="currentColor" d="M7.28033 3.21967C6.98744 2.92678 6.51256 2.92678 6.21967 3.21967C5.92678 3.51256 5.92678 3.98744 6.21967 4.28033L7.28033 3.21967ZM11 8L11.5303 8.53033C11.8232 8.23744 11.8232 7.76256 11.5303 7.46967L11 8ZM6.21967 11.7197C5.92678 12.0126 5.92678 12.4874 6.21967 12.7803C6.51256 13.0732 6.98744 13.0732 7.28033 12.7803L6.21967 11.7197ZM6.21967 4.28033L10.4697 8.53033L11.5303 7.46967L7.28033 3.21967L6.21967 4.28033ZM10.4697 7.46967L6.21967 11.7197L7.28033 12.7803L11.5303 8.53033L10.4697 7.46967Z"></path><path class="Primer_Brand__ExpandableArrow-module__ExpandableArrow-stem___0K8Hz" stroke="currentColor" d="M1.75 8H11" stroke-width="1.5" stroke-linecap="round"></path></svg></a></div></div></div></li><li><div class="NavDropdown-module__container__l2YeI"><button type="button" class="NavDropdown-module__button__PEHWX" aria-expanded="false" aria-controls="_R_17d_">Solutions<svg data-component="Octicon" aria-hidden="true" focusable="false" class="octicon octicon-triangle-right NavDropdown-module__buttonIcon__Tkl8_" viewBox="0 0 16 16" width="16" height="16" fill="currentColor" display="inline-block" overflow="visible" style="vertical-align:text-bottom"><path d="m6.427 4.427 3.396 3.396a.25.25 0 0 1 0 .354l-3.396 3.396A.25.25 0 0 1 6 11.396V4.604a.25.25 0 0 1 .427-.177Z"></path></svg></button><div id="_R_17d_" class="NavDropdown-module__dropdown__xm1jd"><ul class="NavDropdown-module__list__zuCgG"><li><div class="NavGroup-module__group__W8SqJ"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--monospace___QXHDQ Primer_Brand__Text-module__Text--muted___rE6mh Primer_Brand__Text-module__Text--100___B2ueX Primer_Brand__Text-module__Text--weight-medium___qJKf_ NavGroup-module__title__Wzxz2" id="_R_5l7d_">BY COMPANY SIZE</span><ul class="NavGroup-module__list__UCOFy" aria-labelledby="_R_5l7d_"><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0" href="https://github.com/enterprise" data-analytics-event="{&quot;action&quot;:&quot;enterprises&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;solutions&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;enterprises_link_solutions_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">Enterprises</span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0" href="https://github.com/team" data-analytics-event="{&quot;action&quot;:&quot;small_and_medium_teams&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;solutions&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;small_and_medium_teams_link_solutions_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">Small and medium teams</span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0" href="https://github.com/enterprise/startups" data-analytics-event="{&quot;action&quot;:&quot;startups&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;solutions&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;startups_link_solutions_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">Startups</span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0" href="https://github.com/solutions/industry/nonprofits" data-analytics-event="{&quot;action&quot;:&quot;nonprofits&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;solutions&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;nonprofits_link_solutions_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">Nonprofits</span></a></li></ul></div></li><li><div class="NavGroup-module__group__W8SqJ"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--monospace___QXHDQ Primer_Brand__Text-module__Text--muted___rE6mh Primer_Brand__Text-module__Text--100___B2ueX Primer_Brand__Text-module__Text--weight-medium___qJKf_ NavGroup-module__title__Wzxz2" id="_R_9l7d_">BY USE CASE</span><ul class="NavGroup-module__list__UCOFy" aria-labelledby="_R_9l7d_"><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0" href="https://github.com/solutions/use-case/app-modernization" data-analytics-event="{&quot;action&quot;:&quot;app_modernization&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;solutions&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;app_modernization_link_solutions_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">App Modernization</span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0" href="https://github.com/solutions/use-case/devsecops" data-analytics-event="{&quot;action&quot;:&quot;devsecops&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;solutions&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;devsecops_link_solutions_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">DevSecOps</span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0" href="https://github.com/solutions/use-case/devops" data-analytics-event="{&quot;action&quot;:&quot;devops&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;solutions&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;devops_link_solutions_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">DevOps</span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0" href="https://github.com/solutions/use-case/ci-cd" data-analytics-event="{&quot;action&quot;:&quot;ci/cd&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;solutions&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;ci/cd_link_solutions_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">CI/CD</span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0 Primer_Brand__Link-module__Link--arrow-end___esdN8" href="https://github.com/solutions/use-case" data-analytics-event="{&quot;action&quot;:&quot;view_all_use_cases&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;solutions&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;view_all_use_cases_link_solutions_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">View all use cases</span><svg class="Primer_Brand__ExpandableArrow-module__ExpandableArrow___aaZs9 Primer_Brand__Link-module__Link-arrow___yd78i" width="16" height="16" viewBox="0 0 16 16" fill="none" aria-hidden="true" focusable="false"><path fill="currentColor" d="M7.28033 3.21967C6.98744 2.92678 6.51256 2.92678 6.21967 3.21967C5.92678 3.51256 5.92678 3.98744 6.21967 4.28033L7.28033 3.21967ZM11 8L11.5303 8.53033C11.8232 8.23744 11.8232 7.76256 11.5303 7.46967L11 8ZM6.21967 11.7197C5.92678 12.0126 5.92678 12.4874 6.21967 12.7803C6.51256 13.0732 6.98744 13.0732 7.28033 12.7803L6.21967 11.7197ZM6.21967 4.28033L10.4697 8.53033L11.5303 7.46967L7.28033 3.21967L6.21967 4.28033ZM10.4697 7.46967L6.21967 11.7197L7.28033 12.7803L11.5303 8.53033L10.4697 7.46967Z"></path><path class="Primer_Brand__ExpandableArrow-module__ExpandableArrow-stem___0K8Hz" stroke="currentColor" d="M1.75 8H11" stroke-width="1.5" stroke-linecap="round"></path></svg></a></li></ul></div></li><li><div class="NavGroup-module__group__W8SqJ"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--monospace___QXHDQ Primer_Brand__Text-module__Text--muted___rE6mh Primer_Brand__Text-module__Text--100___B2ueX Primer_Brand__Text-module__Text--weight-medium___qJKf_ NavGroup-module__title__Wzxz2" id="_R_dl7d_">BY INDUSTRY</span><ul class="NavGroup-module__list__UCOFy" aria-labelledby="_R_dl7d_"><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0" href="https://github.com/solutions/industry/healthcare" data-analytics-event="{&quot;action&quot;:&quot;healthcare&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;solutions&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;healthcare_link_solutions_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">Healthcare</span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0" href="https://github.com/solutions/industry/financial-services" data-analytics-event="{&quot;action&quot;:&quot;financial_services&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;solutions&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;financial_services_link_solutions_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">Financial services</span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0" href="https://github.com/solutions/industry/manufacturing" data-analytics-event="{&quot;action&quot;:&quot;manufacturing&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;solutions&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;manufacturing_link_solutions_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">Manufacturing</span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0" href="https://github.com/solutions/industry/government" data-analytics-event="{&quot;action&quot;:&quot;government&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;solutions&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;government_link_solutions_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">Government</span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0 Primer_Brand__Link-module__Link--arrow-end___esdN8" href="https://github.com/solutions/industry" data-analytics-event="{&quot;action&quot;:&quot;view_all_industries&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;solutions&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;view_all_industries_link_solutions_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">View all industries</span><svg class="Primer_Brand__ExpandableArrow-module__ExpandableArrow___aaZs9 Primer_Brand__Link-module__Link-arrow___yd78i" width="16" height="16" viewBox="0 0 16 16" fill="none" aria-hidden="true" focusable="false"><path fill="currentColor" d="M7.28033 3.21967C6.98744 2.92678 6.51256 2.92678 6.21967 3.21967C5.92678 3.51256 5.92678 3.98744 6.21967 4.28033L7.28033 3.21967ZM11 8L11.5303 8.53033C11.8232 8.23744 11.8232 7.76256 11.5303 7.46967L11 8ZM6.21967 11.7197C5.92678 12.0126 5.92678 12.4874 6.21967 12.7803C6.51256 13.0732 6.98744 13.0732 7.28033 12.7803L6.21967 11.7197ZM6.21967 4.28033L10.4697 8.53033L11.5303 7.46967L7.28033 3.21967L6.21967 4.28033ZM10.4697 7.46967L6.21967 11.7197L7.28033 12.7803L11.5303 8.53033L10.4697 7.46967Z"></path><path class="Primer_Brand__ExpandableArrow-module__ExpandableArrow-stem___0K8Hz" stroke="currentColor" d="M1.75 8H11" stroke-width="1.5" stroke-linecap="round"></path></svg></a></li></ul></div></li></ul><div class="NavDropdown-module__trailingLinkContainer__VgJGL"><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0 Primer_Brand__Link-module__Link--arrow-end___esdN8" href="https://github.com/solutions" data-analytics-event="{&quot;action&quot;:&quot;view_all_solutions&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;solutions&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;view_all_solutions_link_solutions_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">View all solutions</span><svg class="Primer_Brand__ExpandableArrow-module__ExpandableArrow___aaZs9 Primer_Brand__Link-module__Link-arrow___yd78i" width="16" height="16" viewBox="0 0 16 16" fill="none" aria-hidden="true" focusable="false"><path fill="currentColor" d="M7.28033 3.21967C6.98744 2.92678 6.51256 2.92678 6.21967 3.21967C5.92678 3.51256 5.92678 3.98744 6.21967 4.28033L7.28033 3.21967ZM11 8L11.5303 8.53033C11.8232 8.23744 11.8232 7.76256 11.5303 7.46967L11 8ZM6.21967 11.7197C5.92678 12.0126 5.92678 12.4874 6.21967 12.7803C6.51256 13.0732 6.98744 13.0732 7.28033 12.7803L6.21967 11.7197ZM6.21967 4.28033L10.4697 8.53033L11.5303 7.46967L7.28033 3.21967L6.21967 4.28033ZM10.4697 7.46967L6.21967 11.7197L7.28033 12.7803L11.5303 8.53033L10.4697 7.46967Z"></path><path class="Primer_Brand__ExpandableArrow-module__ExpandableArrow-stem___0K8Hz" stroke="currentColor" d="M1.75 8H11" stroke-width="1.5" stroke-linecap="round"></path></svg></a></div></div></div></li><li><div class="NavDropdown-module__container__l2YeI"><button type="button" class="NavDropdown-module__button__PEHWX" aria-expanded="false" aria-controls="_R_1nd_">Resources<svg data-component="Octicon" aria-hidden="true" focusable="false" class="octicon octicon-triangle-right NavDropdown-module__buttonIcon__Tkl8_" viewBox="0 0 16 16" width="16" height="16" fill="currentColor" display="inline-block" overflow="visible" style="vertical-align:text-bottom"><path d="m6.427 4.427 3.396 3.396a.25.25 0 0 1 0 .354l-3.396 3.396A.25.25 0 0 1 6 11.396V4.604a.25.25 0 0 1 .427-.177Z"></path></svg></button><div id="_R_1nd_" class="NavDropdown-module__dropdown__xm1jd"><ul class="NavDropdown-module__list__zuCgG"><li><div class="NavGroup-module__group__W8SqJ"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--monospace___QXHDQ Primer_Brand__Text-module__Text--muted___rE6mh Primer_Brand__Text-module__Text--100___B2ueX Primer_Brand__Text-module__Text--weight-medium___qJKf_ NavGroup-module__title__Wzxz2" id="_R_5lnd_">EXPLORE BY TOPIC</span><ul class="NavGroup-module__list__UCOFy" aria-labelledby="_R_5lnd_"><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0" href="https://github.com/resources/articles?topic=ai" data-analytics-event="{&quot;action&quot;:&quot;ai&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;resources&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;ai_link_resources_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">AI</span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0" href="https://github.com/resources/articles?topic=software-development" data-analytics-event="{&quot;action&quot;:&quot;software_development&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;resources&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;software_development_link_resources_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">Software Development</span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0" href="https://github.com/resources/articles?topic=devops" data-analytics-event="{&quot;action&quot;:&quot;devops&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;resources&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;devops_link_resources_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">DevOps</span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0" href="https://github.com/resources/articles?topic=security" data-analytics-event="{&quot;action&quot;:&quot;security&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;resources&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;security_link_resources_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">Security</span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0 Primer_Brand__Link-module__Link--arrow-end___esdN8" href="https://github.com/resources/articles" data-analytics-event="{&quot;action&quot;:&quot;view_all_topics&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;resources&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;view_all_topics_link_resources_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">View all topics</span><svg class="Primer_Brand__ExpandableArrow-module__ExpandableArrow___aaZs9 Primer_Brand__Link-module__Link-arrow___yd78i" width="16" height="16" viewBox="0 0 16 16" fill="none" aria-hidden="true" focusable="false"><path fill="currentColor" d="M7.28033 3.21967C6.98744 2.92678 6.51256 2.92678 6.21967 3.21967C5.92678 3.51256 5.92678 3.98744 6.21967 4.28033L7.28033 3.21967ZM11 8L11.5303 8.53033C11.8232 8.23744 11.8232 7.76256 11.5303 7.46967L11 8ZM6.21967 11.7197C5.92678 12.0126 5.92678 12.4874 6.21967 12.7803C6.51256 13.0732 6.98744 13.0732 7.28033 12.7803L6.21967 11.7197ZM6.21967 4.28033L10.4697 8.53033L11.5303 7.46967L7.28033 3.21967L6.21967 4.28033ZM10.4697 7.46967L6.21967 11.7197L7.28033 12.7803L11.5303 8.53033L10.4697 7.46967Z"></path><path class="Primer_Brand__ExpandableArrow-module__ExpandableArrow-stem___0K8Hz" stroke="currentColor" d="M1.75 8H11" stroke-width="1.5" stroke-linecap="round"></path></svg></a></li></ul></div></li><li><div class="NavGroup-module__group__W8SqJ"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--monospace___QXHDQ Primer_Brand__Text-module__Text--muted___rE6mh Primer_Brand__Text-module__Text--100___B2ueX Primer_Brand__Text-module__Text--weight-medium___qJKf_ NavGroup-module__title__Wzxz2" id="_R_9lnd_">EXPLORE BY TYPE</span><ul class="NavGroup-module__list__UCOFy" aria-labelledby="_R_9lnd_"><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0" href="https://github.com/customer-stories" data-analytics-event="{&quot;action&quot;:&quot;customer_stories&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;resources&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;customer_stories_link_resources_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">Customer stories</span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0" href="https://github.com/resources/events" data-analytics-event="{&quot;action&quot;:&quot;events__webinars&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;resources&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;events__webinars_link_resources_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">Events &amp; webinars</span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0" href="https://github.com/resources/whitepapers" data-analytics-event="{&quot;action&quot;:&quot;ebooks__reports&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;resources&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;ebooks__reports_link_resources_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">Ebooks &amp; reports</span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0" href="https://github.com/solutions/executive-insights" data-analytics-event="{&quot;action&quot;:&quot;business_insights&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;resources&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;business_insights_link_resources_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">Business insights</span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0 Primer_Brand__Link-module__Link--is-external___xsncV" href="https://skills.github.com" data-analytics-event="{&quot;action&quot;:&quot;github_skills&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;resources&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;github_skills_link_resources_navbar&quot;}" target="_blank" rel="noreferrer"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">GitHub Skills</span><svg data-component="Octicon" focusable="false" aria-label="External link" class="octicon octicon-link-external" role="img" viewBox="0 0 16 16" width="16" height="16" fill="currentColor" display="inline-block" overflow="visible" style="vertical-align:text-bottom"><path d="M3.75 2h3.5a.75.75 0 0 1 0 1.5h-3.5a.25.25 0 0 0-.25.25v8.5c0 .138.112.25.25.25h8.5a.25.25 0 0 0 .25-.25v-3.5a.75.75 0 0 1 1.5 0v3.5A1.75 1.75 0 0 1 12.25 14h-8.5A1.75 1.75 0 0 1 2 12.25v-8.5C2 2.784 2.784 2 3.75 2Zm6.854-1h4.146a.25.25 0 0 1 .25.25v4.146a.25.25 0 0 1-.427.177L13.03 4.03 9.28 7.78a.751.751 0 0 1-1.042-.018.751.751 0 0 1-.018-1.042l3.75-3.75-1.543-1.543A.25.25 0 0 1 10.604 1Z"></path></svg></a></li></ul></div></li><li><div class="NavGroup-module__group__W8SqJ"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--monospace___QXHDQ Primer_Brand__Text-module__Text--muted___rE6mh Primer_Brand__Text-module__Text--100___B2ueX Primer_Brand__Text-module__Text--weight-medium___qJKf_ NavGroup-module__title__Wzxz2" id="_R_dlnd_">SUPPORT &amp; SERVICES</span><ul class="NavGroup-module__list__UCOFy" aria-labelledby="_R_dlnd_"><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0 Primer_Brand__Link-module__Link--is-external___xsncV" href="https://docs.github.com" data-analytics-event="{&quot;action&quot;:&quot;documentation&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;resources&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;documentation_link_resources_navbar&quot;}" target="_blank" rel="noreferrer"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">Documentation</span><svg data-component="Octicon" focusable="false" aria-label="External link" class="octicon octicon-link-external" role="img" viewBox="0 0 16 16" width="16" height="16" fill="currentColor" display="inline-block" overflow="visible" style="vertical-align:text-bottom"><path d="M3.75 2h3.5a.75.75 0 0 1 0 1.5h-3.5a.25.25 0 0 0-.25.25v8.5c0 .138.112.25.25.25h8.5a.25.25 0 0 0 .25-.25v-3.5a.75.75 0 0 1 1.5 0v3.5A1.75 1.75 0 0 1 12.25 14h-8.5A1.75 1.75 0 0 1 2 12.25v-8.5C2 2.784 2.784 2 3.75 2Zm6.854-1h4.146a.25.25 0 0 1 .25.25v4.146a.25.25 0 0 1-.427.177L13.03 4.03 9.28 7.78a.751.751 0 0 1-1.042-.018.751.751 0 0 1-.018-1.042l3.75-3.75-1.543-1.543A.25.25 0 0 1 10.604 1Z"></path></svg></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0 Primer_Brand__Link-module__Link--is-external___xsncV" href="https://support.github.com" data-analytics-event="{&quot;action&quot;:&quot;customer_support&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;resources&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;customer_support_link_resources_navbar&quot;}" target="_blank" rel="noreferrer"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">Customer support</span><svg data-component="Octicon" focusable="false" aria-label="External link" class="octicon octicon-link-external" role="img" viewBox="0 0 16 16" width="16" height="16" fill="currentColor" display="inline-block" overflow="visible" style="vertical-align:text-bottom"><path d="M3.75 2h3.5a.75.75 0 0 1 0 1.5h-3.5a.25.25 0 0 0-.25.25v8.5c0 .138.112.25.25.25h8.5a.25.25 0 0 0 .25-.25v-3.5a.75.75 0 0 1 1.5 0v3.5A1.75 1.75 0 0 1 12.25 14h-8.5A1.75 1.75 0 0 1 2 12.25v-8.5C2 2.784 2.784 2 3.75 2Zm6.854-1h4.146a.25.25 0 0 1 .25.25v4.146a.25.25 0 0 1-.427.177L13.03 4.03 9.28 7.78a.751.751 0 0 1-1.042-.018.751.751 0 0 1-.018-1.042l3.75-3.75-1.543-1.543A.25.25 0 0 1 10.604 1Z"></path></svg></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0" href="https://github.com/orgs/community/discussions" data-analytics-event="{&quot;action&quot;:&quot;community_forum&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;resources&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;community_forum_link_resources_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">Community forum</span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0" href="https://github.com/trust-center" data-analytics-event="{&quot;action&quot;:&quot;trust_center&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;resources&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;trust_center_link_resources_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">Trust center</span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0" href="https://github.com/partners" data-analytics-event="{&quot;action&quot;:&quot;partners&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;resources&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;partners_link_resources_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">Partners</span></a></li></ul></div></li></ul><div class="NavDropdown-module__trailingLinkContainer__VgJGL"><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0 Primer_Brand__Link-module__Link--arrow-end___esdN8" href="https://github.com/resources" data-analytics-event="{&quot;action&quot;:&quot;view_all_resources&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;resources&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;view_all_resources_link_resources_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">View all resources</span><svg class="Primer_Brand__ExpandableArrow-module__ExpandableArrow___aaZs9 Primer_Brand__Link-module__Link-arrow___yd78i" width="16" height="16" viewBox="0 0 16 16" fill="none" aria-hidden="true" focusable="false"><path fill="currentColor" d="M7.28033 3.21967C6.98744 2.92678 6.51256 2.92678 6.21967 3.21967C5.92678 3.51256 5.92678 3.98744 6.21967 4.28033L7.28033 3.21967ZM11 8L11.5303 8.53033C11.8232 8.23744 11.8232 7.76256 11.5303 7.46967L11 8ZM6.21967 11.7197C5.92678 12.0126 5.92678 12.4874 6.21967 12.7803C6.51256 13.0732 6.98744 13.0732 7.28033 12.7803L6.21967 11.7197ZM6.21967 4.28033L10.4697 8.53033L11.5303 7.46967L7.28033 3.21967L6.21967 4.28033ZM10.4697 7.46967L6.21967 11.7197L7.28033 12.7803L11.5303 8.53033L10.4697 7.46967Z"></path><path class="Primer_Brand__ExpandableArrow-module__ExpandableArrow-stem___0K8Hz" stroke="currentColor" d="M1.75 8H11" stroke-width="1.5" stroke-linecap="round"></path></svg></a></div></div></div></li><li><div class="NavDropdown-module__container__l2YeI"><button type="button" class="NavDropdown-module__button__PEHWX" aria-expanded="false" aria-controls="_R_27d_">Open Source<svg data-component="Octicon" aria-hidden="true" focusable="false" class="octicon octicon-triangle-right NavDropdown-module__buttonIcon__Tkl8_" viewBox="0 0 16 16" width="16" height="16" fill="currentColor" display="inline-block" overflow="visible" style="vertical-align:text-bottom"><path d="m6.427 4.427 3.396 3.396a.25.25 0 0 1 0 .354l-3.396 3.396A.25.25 0 0 1 6 11.396V4.604a.25.25 0 0 1 .427-.177Z"></path></svg></button><div id="_R_27d_" class="NavDropdown-module__dropdown__xm1jd"><ul class="NavDropdown-module__list__zuCgG"><li><div class="NavGroup-module__group__W8SqJ"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--monospace___QXHDQ Primer_Brand__Text-module__Text--muted___rE6mh Primer_Brand__Text-module__Text--100___B2ueX Primer_Brand__Text-module__Text--weight-medium___qJKf_ NavGroup-module__title__Wzxz2" id="_R_5m7d_">COMMUNITY</span><ul class="NavGroup-module__list__UCOFy" aria-labelledby="_R_5m7d_"><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0 NavLink-module__link__EG3d4" href="https://github.com/open-source/sponsors" data-analytics-event="{&quot;action&quot;:&quot;github_sponsors&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;open_source&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;github_sponsors_link_open_source_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Text-module__Text--weight-medium___qJKf_ NavLink-module__title__Q7t0p"><svg data-component="Octicon" aria-hidden="true" focusable="false" class="octicon octicon-sponsor-tiers NavLink-module__icon__ltGNM" viewBox="0 0 16 16" width="16" height="16" fill="currentColor" display="inline-block" overflow="visible" style="vertical-align:text-bottom"><path d="M10.586 1C12.268 1 13.5 2.37 13.5 4.25c0 1.745-.996 3.359-2.622 4.831-.166.15-.336.297-.509.438l1.116 5.584a.75.75 0 0 1-.991.852l-2.409-.876a.25.25 0 0 0-.17 0l-2.409.876a.75.75 0 0 1-.991-.852L5.63 9.519a13.78 13.78 0 0 1-.51-.438C3.497 7.609 2.5 5.995 2.5 4.25 2.5 2.37 3.732 1 5.414 1c.963 0 1.843.403 2.474 1.073L8 2.198l.112-.125a3.385 3.385 0 0 1 2.283-1.068L10.586 1Zm-3.621 9.495-.718 3.594 1.155-.42a1.75 1.75 0 0 1 1.028-.051l.168.051 1.154.42-.718-3.592c-.199.13-.37.235-.505.314l-.169.097a.75.75 0 0 1-.72 0 9.54 9.54 0 0 1-.515-.308l-.16-.105ZM10.586 2.5c-.863 0-1.611.58-1.866 1.459-.209.721-1.231.721-1.44 0C7.025 3.08 6.277 2.5 5.414 2.5 4.598 2.5 4 3.165 4 4.25c0 1.23.786 2.504 2.128 3.719.49.443 1.018.846 1.546 1.198l.325.21.076-.047.251-.163a13.341 13.341 0 0 0 1.546-1.198C11.214 6.754 12 5.479 12 4.25c0-1.085-.598-1.75-1.414-1.75Z"></path></svg>GitHub Sponsors</span><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--muted___rE6mh Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS NavLink-module__subtitle__X4gkW">Fund open source developers</span></span></a></li></ul></div></li><li><div class="NavGroup-module__group__W8SqJ"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--monospace___QXHDQ Primer_Brand__Text-module__Text--muted___rE6mh Primer_Brand__Text-module__Text--100___B2ueX Primer_Brand__Text-module__Text--weight-medium___qJKf_ NavGroup-module__title__Wzxz2" id="_R_9m7d_">PROGRAMS</span><ul class="NavGroup-module__list__UCOFy" aria-labelledby="_R_9m7d_"><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0 Primer_Brand__Link-module__Link--is-external___xsncV" href="https://securitylab.github.com" data-analytics-event="{&quot;action&quot;:&quot;security_lab&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;open_source&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;security_lab_link_open_source_navbar&quot;}" target="_blank" rel="noreferrer"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">Security Lab</span><svg data-component="Octicon" focusable="false" aria-label="External link" class="octicon octicon-link-external" role="img" viewBox="0 0 16 16" width="16" height="16" fill="currentColor" display="inline-block" overflow="visible" style="vertical-align:text-bottom"><path d="M3.75 2h3.5a.75.75 0 0 1 0 1.5h-3.5a.25.25 0 0 0-.25.25v8.5c0 .138.112.25.25.25h8.5a.25.25 0 0 0 .25-.25v-3.5a.75.75 0 0 1 1.5 0v3.5A1.75 1.75 0 0 1 12.25 14h-8.5A1.75 1.75 0 0 1 2 12.25v-8.5C2 2.784 2.784 2 3.75 2Zm6.854-1h4.146a.25.25 0 0 1 .25.25v4.146a.25.25 0 0 1-.427.177L13.03 4.03 9.28 7.78a.751.751 0 0 1-1.042-.018.751.751 0 0 1-.018-1.042l3.75-3.75-1.543-1.543A.25.25 0 0 1 10.604 1Z"></path></svg></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0 Primer_Brand__Link-module__Link--is-external___xsncV" href="https://maintainers.github.com" data-analytics-event="{&quot;action&quot;:&quot;maintainer_community&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;open_source&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;maintainer_community_link_open_source_navbar&quot;}" target="_blank" rel="noreferrer"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">Maintainer Community</span><svg data-component="Octicon" focusable="false" aria-label="External link" class="octicon octicon-link-external" role="img" viewBox="0 0 16 16" width="16" height="16" fill="currentColor" display="inline-block" overflow="visible" style="vertical-align:text-bottom"><path d="M3.75 2h3.5a.75.75 0 0 1 0 1.5h-3.5a.25.25 0 0 0-.25.25v8.5c0 .138.112.25.25.25h8.5a.25.25 0 0 0 .25-.25v-3.5a.75.75 0 0 1 1.5 0v3.5A1.75 1.75 0 0 1 12.25 14h-8.5A1.75 1.75 0 0 1 2 12.25v-8.5C2 2.784 2.784 2 3.75 2Zm6.854-1h4.146a.25.25 0 0 1 .25.25v4.146a.25.25 0 0 1-.427.177L13.03 4.03 9.28 7.78a.751.751 0 0 1-1.042-.018.751.751 0 0 1-.018-1.042l3.75-3.75-1.543-1.543A.25.25 0 0 1 10.604 1Z"></path></svg></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0 Primer_Brand__Link-module__Link--is-external___xsncV" href="https://stars.github.com" data-analytics-event="{&quot;action&quot;:&quot;github_stars&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;open_source&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;github_stars_link_open_source_navbar&quot;}" target="_blank" rel="noreferrer"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">GitHub Stars</span><svg data-component="Octicon" focusable="false" aria-label="External link" class="octicon octicon-link-external" role="img" viewBox="0 0 16 16" width="16" height="16" fill="currentColor" display="inline-block" overflow="visible" style="vertical-align:text-bottom"><path d="M3.75 2h3.5a.75.75 0 0 1 0 1.5h-3.5a.25.25 0 0 0-.25.25v8.5c0 .138.112.25.25.25h8.5a.25.25 0 0 0 .25-.25v-3.5a.75.75 0 0 1 1.5 0v3.5A1.75 1.75 0 0 1 12.25 14h-8.5A1.75 1.75 0 0 1 2 12.25v-8.5C2 2.784 2.784 2 3.75 2Zm6.854-1h4.146a.25.25 0 0 1 .25.25v4.146a.25.25 0 0 1-.427.177L13.03 4.03 9.28 7.78a.751.751 0 0 1-1.042-.018.751.751 0 0 1-.018-1.042l3.75-3.75-1.543-1.543A.25.25 0 0 1 10.604 1Z"></path></svg></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0 Primer_Brand__Link-module__Link--is-external___xsncV" href="https://archiveprogram.github.com" data-analytics-event="{&quot;action&quot;:&quot;archive_program&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;open_source&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;archive_program_link_open_source_navbar&quot;}" target="_blank" rel="noreferrer"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">Archive Program</span><svg data-component="Octicon" focusable="false" aria-label="External link" class="octicon octicon-link-external" role="img" viewBox="0 0 16 16" width="16" height="16" fill="currentColor" display="inline-block" overflow="visible" style="vertical-align:text-bottom"><path d="M3.75 2h3.5a.75.75 0 0 1 0 1.5h-3.5a.25.25 0 0 0-.25.25v8.5c0 .138.112.25.25.25h8.5a.25.25 0 0 0 .25-.25v-3.5a.75.75 0 0 1 1.5 0v3.5A1.75 1.75 0 0 1 12.25 14h-8.5A1.75 1.75 0 0 1 2 12.25v-8.5C2 2.784 2.784 2 3.75 2Zm6.854-1h4.146a.25.25 0 0 1 .25.25v4.146a.25.25 0 0 1-.427.177L13.03 4.03 9.28 7.78a.751.751 0 0 1-1.042-.018.751.751 0 0 1-.018-1.042l3.75-3.75-1.543-1.543A.25.25 0 0 1 10.604 1Z"></path></svg></a></li></ul></div></li><li><div class="NavGroup-module__group__W8SqJ"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--monospace___QXHDQ Primer_Brand__Text-module__Text--muted___rE6mh Primer_Brand__Text-module__Text--100___B2ueX Primer_Brand__Text-module__Text--weight-medium___qJKf_ NavGroup-module__title__Wzxz2" id="_R_dm7d_">REPOSITORIES</span><ul class="NavGroup-module__list__UCOFy" aria-labelledby="_R_dm7d_"><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0" href="https://github.com/topics" data-analytics-event="{&quot;action&quot;:&quot;topics&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;open_source&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;topics_link_open_source_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">Topics</span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0" href="https://github.com/trending" data-analytics-event="{&quot;action&quot;:&quot;trending&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;open_source&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;trending_link_open_source_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">Trending</span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0" href="https://github.com/collections" data-analytics-event="{&quot;action&quot;:&quot;collections&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;open_source&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;collections_link_open_source_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">Collections</span></a></li></ul></div></li></ul></div></div></li><li><div class="NavDropdown-module__container__l2YeI"><button type="button" class="NavDropdown-module__button__PEHWX" aria-expanded="false" aria-controls="_R_2nd_">Enterprise<svg data-component="Octicon" aria-hidden="true" focusable="false" class="octicon octicon-triangle-right NavDropdown-module__buttonIcon__Tkl8_" viewBox="0 0 16 16" width="16" height="16" fill="currentColor" display="inline-block" overflow="visible" style="vertical-align:text-bottom"><path d="m6.427 4.427 3.396 3.396a.25.25 0 0 1 0 .354l-3.396 3.396A.25.25 0 0 1 6 11.396V4.604a.25.25 0 0 1 .427-.177Z"></path></svg></button><div id="_R_2nd_" class="NavDropdown-module__dropdown__xm1jd"><ul class="NavDropdown-module__list__zuCgG"><li><div class="NavGroup-module__group__W8SqJ"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--monospace___QXHDQ Primer_Brand__Text-module__Text--muted___rE6mh Primer_Brand__Text-module__Text--100___B2ueX Primer_Brand__Text-module__Text--weight-medium___qJKf_ NavGroup-module__title__Wzxz2" id="_R_5mnd_">ENTERPRISE SOLUTIONS</span><ul class="NavGroup-module__list__UCOFy" aria-labelledby="_R_5mnd_"><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0 NavLink-module__link__EG3d4" href="https://github.com/enterprise" data-analytics-event="{&quot;action&quot;:&quot;enterprise_platform&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;enterprise&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;enterprise_platform_link_enterprise_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Text-module__Text--weight-medium___qJKf_ NavLink-module__title__Q7t0p"><svg data-component="Octicon" aria-hidden="true" focusable="false" class="octicon octicon-stack NavLink-module__icon__ltGNM" viewBox="0 0 16 16" width="16" height="16" fill="currentColor" display="inline-block" overflow="visible" style="vertical-align:text-bottom"><path d="M7.122.392a1.75 1.75 0 0 1 1.756 0l5.003 2.902c.83.481.83 1.68 0 2.162L8.878 8.358a1.75 1.75 0 0 1-1.756 0L2.119 5.456a1.251 1.251 0 0 1 0-2.162ZM8.125 1.69a.248.248 0 0 0-.25 0l-4.63 2.685 4.63 2.685a.248.248 0 0 0 .25 0l4.63-2.685ZM1.601 7.789a.75.75 0 0 1 1.025-.273l5.249 3.044a.248.248 0 0 0 .25 0l5.249-3.044a.75.75 0 0 1 .752 1.298l-5.248 3.044a1.75 1.75 0 0 1-1.756 0L1.874 8.814A.75.75 0 0 1 1.6 7.789Zm0 3.5a.75.75 0 0 1 1.025-.273l5.249 3.044a.248.248 0 0 0 .25 0l5.249-3.044a.75.75 0 0 1 .752 1.298l-5.248 3.044a1.75 1.75 0 0 1-1.756 0l-5.248-3.044a.75.75 0 0 1-.273-1.025Z"></path></svg>Enterprise platform</span><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--muted___rE6mh Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS NavLink-module__subtitle__X4gkW">AI-powered developer platform</span></span></a></li></ul></div></li><li><div class="NavGroup-module__group__W8SqJ"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--monospace___QXHDQ Primer_Brand__Text-module__Text--muted___rE6mh Primer_Brand__Text-module__Text--100___B2ueX Primer_Brand__Text-module__Text--weight-medium___qJKf_ NavGroup-module__title__Wzxz2" id="_R_9mnd_">AVAILABLE ADD-ONS</span><ul class="NavGroup-module__list__UCOFy" aria-labelledby="_R_9mnd_"><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0 NavLink-module__link__EG3d4" href="https://github.com/security/advanced-security" data-analytics-event="{&quot;action&quot;:&quot;github_advanced_security&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;enterprise&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;github_advanced_security_link_enterprise_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Text-module__Text--weight-medium___qJKf_ NavLink-module__title__Q7t0p"><svg data-component="Octicon" aria-hidden="true" focusable="false" class="octicon octicon-shield-check NavLink-module__icon__ltGNM" viewBox="0 0 16 16" width="16" height="16" fill="currentColor" display="inline-block" overflow="visible" style="vertical-align:text-bottom"><path d="m8.533.133 5.25 1.68A1.75 1.75 0 0 1 15 3.48V7c0 1.566-.32 3.182-1.303 4.682-.983 1.498-2.585 2.813-5.032 3.855a1.697 1.697 0 0 1-1.33 0c-2.447-1.042-4.049-2.357-5.032-3.855C1.32 10.182 1 8.566 1 7V3.48a1.75 1.75 0 0 1 1.217-1.667l5.25-1.68a1.748 1.748 0 0 1 1.066 0Zm-.61 1.429.001.001-5.25 1.68a.251.251 0 0 0-.174.237V7c0 1.36.275 2.666 1.057 3.859.784 1.194 2.121 2.342 4.366 3.298a.196.196 0 0 0 .154 0c2.245-.957 3.582-2.103 4.366-3.297C13.225 9.666 13.5 8.358 13.5 7V3.48a.25.25 0 0 0-.174-.238l-5.25-1.68a.25.25 0 0 0-.153 0ZM11.28 6.28l-3.5 3.5a.75.75 0 0 1-1.06 0l-1.5-1.5a.749.749 0 0 1 .326-1.275.749.749 0 0 1 .734.215l.97.97 2.97-2.97a.751.751 0 0 1 1.042.018.751.751 0 0 1 .018 1.042Z"></path></svg>GitHub Advanced Security</span><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--muted___rE6mh Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS NavLink-module__subtitle__X4gkW">Enterprise-grade security features</span></span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0 NavLink-module__link__EG3d4" href="https://github.com/features/copilot/copilot-business" data-analytics-event="{&quot;action&quot;:&quot;copilot_for_business&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;enterprise&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;copilot_for_business_link_enterprise_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Text-module__Text--weight-medium___qJKf_ NavLink-module__title__Q7t0p"><svg data-component="Octicon" aria-hidden="true" focusable="false" class="octicon octicon-copilot NavLink-module__icon__ltGNM" viewBox="0 0 16 16" width="16" height="16" fill="currentColor" display="inline-block" overflow="visible" style="vertical-align:text-bottom"><path d="M7.998 15.035c-4.562 0-7.873-2.914-7.998-3.749V9.338c.085-.628.677-1.686 1.588-2.065.013-.07.024-.143.036-.218.029-.183.06-.384.126-.612-.201-.508-.254-1.084-.254-1.656 0-.87.128-1.769.693-2.484.579-.733 1.494-1.124 2.724-1.261 1.206-.134 2.262.034 2.944.765.05.053.096.108.139.165.044-.057.094-.112.143-.165.682-.731 1.738-.899 2.944-.765 1.23.137 2.145.528 2.724 1.261.566.715.693 1.614.693 2.484 0 .572-.053 1.148-.254 1.656.066.228.098.429.126.612.012.076.024.148.037.218.924.385 1.522 1.471 1.591 2.095v1.872c0 .766-3.351 3.795-8.002 3.795Zm0-1.485c2.28 0 4.584-1.11 5.002-1.433V7.862l-.023-.116c-.49.21-1.075.291-1.727.291-1.146 0-2.059-.327-2.71-.991A3.222 3.222 0 0 1 8 6.303a3.24 3.24 0 0 1-.544.743c-.65.664-1.563.991-2.71.991-.652 0-1.236-.081-1.727-.291l-.023.116v4.255c.419.323 2.722 1.433 5.002 1.433ZM6.762 2.83c-.193-.206-.637-.413-1.682-.297-1.019.113-1.479.404-1.713.7-.247.312-.369.789-.369 1.554 0 .793.129 1.171.308 1.371.162.181.519.379 1.442.379.853 0 1.339-.235 1.638-.54.315-.322.527-.827.617-1.553.117-.935-.037-1.395-.241-1.614Zm4.155-.297c-1.044-.116-1.488.091-1.681.297-.204.219-.359.679-.242 1.614.091.726.303 1.231.618 1.553.299.305.784.54 1.638.54.922 0 1.28-.198 1.442-.379.179-.2.308-.578.308-1.371 0-.765-.123-1.242-.37-1.554-.233-.296-.693-.587-1.713-.7Z"></path><path d="M6.25 9.037a.75.75 0 0 1 .75.75v1.501a.75.75 0 0 1-1.5 0V9.787a.75.75 0 0 1 .75-.75Zm4.25.75v1.501a.75.75 0 0 1-1.5 0V9.787a.75.75 0 0 1 1.5 0Z"></path></svg>Copilot for Business</span><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--muted___rE6mh Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS NavLink-module__subtitle__X4gkW">Enterprise-grade AI features</span></span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0 NavLink-module__link__EG3d4" href="https://github.com/enterprise/premium-support" data-analytics-event="{&quot;action&quot;:&quot;premium_support&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;enterprise&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;premium_support_link_enterprise_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Text-module__Text--weight-medium___qJKf_ NavLink-module__title__Q7t0p"><svg data-component="Octicon" aria-hidden="true" focusable="false" class="octicon octicon-comment-discussion NavLink-module__icon__ltGNM" viewBox="0 0 16 16" width="16" height="16" fill="currentColor" display="inline-block" overflow="visible" style="vertical-align:text-bottom"><path d="M1.75 1h8.5c.966 0 1.75.784 1.75 1.75v5.5A1.75 1.75 0 0 1 10.25 10H7.061l-2.574 2.573A1.458 1.458 0 0 1 2 11.543V10h-.25A1.75 1.75 0 0 1 0 8.25v-5.5C0 1.784.784 1 1.75 1ZM1.5 2.75v5.5c0 .138.112.25.25.25h1a.75.75 0 0 1 .75.75v2.19l2.72-2.72a.749.749 0 0 1 .53-.22h3.5a.25.25 0 0 0 .25-.25v-5.5a.25.25 0 0 0-.25-.25h-8.5a.25.25 0 0 0-.25.25Zm13 2a.25.25 0 0 0-.25-.25h-.5a.75.75 0 0 1 0-1.5h.5c.966 0 1.75.784 1.75 1.75v5.5A1.75 1.75 0 0 1 14.25 12H14v1.543a1.458 1.458 0 0 1-2.487 1.03L9.22 12.28a.749.749 0 0 1 .326-1.275.749.749 0 0 1 .734.215l2.22 2.22v-2.19a.75.75 0 0 1 .75-.75h1a.25.25 0 0 0 .25-.25Z"></path></svg>Premium Support</span><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--muted___rE6mh Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS NavLink-module__subtitle__X4gkW">Enterprise-grade 24/7 support</span></span></a></li></ul></div></li></ul></div></div></li><li><a href="https://github.com/pricing" data-analytics-event="{&quot;action&quot;:&quot;pricing&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;pricing&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;pricing_link_pricing_navbar&quot;}" class="MarketingNavigation-module__navLink__hUomM">Pricing</a></li></ul></nav><div class="MarketingHeader-module__ctaContainer__tBmPz"><div class="HeaderSearch-module__searchSlot__oVOUS"><button class="Primer_Brand__Button-module__Button___scH9Z Primer_Brand__Button-module__Button--subtle___F7pEE Primer_Brand__Button-module__Button--size-small___zQrEw HeaderSearch-module__trigger__zsF9q" type="button" aria-haspopup="dialog" aria-expanded="false" aria-label="Search or jump to, type / to search" data-analytics-event="{&quot;action&quot;:&quot;searchbar&quot;,&quot;tag&quot;:&quot;input&quot;,&quot;context&quot;:&quot;global&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;searchbar_input_global_navbar&quot;}"><span class="Primer_Brand__Button-module__Button__text___ED0bX"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--100___B2ueX Primer_Brand__Text-module__Text--weight-medium___qJKf_ Primer_Brand__Button-module__Button--label___qrkyz Primer_Brand__Button-module__Button--label-subtle___8ndWH"><span class="HeaderSearch-module__content__kMpxU"><svg data-component="Octicon" aria-hidden="true" focusable="false" class="octicon octicon-search HeaderSearch-module__icon__wcrHX" viewBox="0 0 16 16" width="16" height="16" fill="currentColor" display="inline-block" overflow="visible" style="vertical-align:text-bottom"><path d="M10.68 11.74a6 6 0 0 1-7.922-8.982 6 6 0 0 1 8.982 7.922l3.04 3.04a.749.749 0 0 1-.326 1.275.749.749 0 0 1-.734-.215ZM11.5 7a4.499 4.499 0 1 0-8.997 0A4.499 4.499 0 0 0 11.5 7Z"></path></svg><span class="HeaderSearch-module__label__d1iWG">Search</span><kbd class="HeaderSearch-module__kbd__HNG0o" aria-hidden="true">/</kbd></span></span></span></button><div class="d-none"></div></div><div class="AuthCTAs-module__signInWrap__q2P60"><a class="Primer_Brand__Button-module__Button___scH9Z Primer_Brand__Button-module__Button--subtle___F7pEE Primer_Brand__Button-module__Button--size-small___zQrEw AuthCTAs-module__cta__WpwQq AuthCTAs-module__desktopActionGap__UZuXT AuthCTAs-module__hiddenBelowLg__BfKBw" href="/login?return_to=https%3A%2F%2Fgithub.com%2Flaserwang%2FML-For-Beginners%2Fblob%2Fmain%2F2-Regression%2F1-Tools%2FREADME.md" data-analytics-event="{&quot;action&quot;:&quot;sign_in&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;auth_cta&quot;,&quot;location&quot;:&quot;header&quot;,&quot;label&quot;:&quot;sign_in_link_auth_cta_header&quot;}" data-hydro-click="{&quot;event_type&quot;:&quot;authentication.click&quot;,&quot;payload&quot;:{&quot;location_in_page&quot;:&quot;site header menu&quot;,&quot;repository_id&quot;:null,&quot;auth_type&quot;:&quot;SIGN_UP&quot;,&quot;originating_url&quot;:&quot;https://github.com/laserwang/ML-For-Beginners/blob/main/2-Regression/1-Tools/README.md&quot;,&quot;user_id&quot;:null}}" data-hydro-click-hmac="5111460123d44a6dc2674792b1fa243ddf5d2dd125b60995938e08114d48a39c"><span class="Primer_Brand__Button-module__Button__text___ED0bX"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--100___B2ueX Primer_Brand__Text-module__Text--weight-medium___qJKf_ Primer_Brand__Button-module__Button--label___qrkyz Primer_Brand__Button-module__Button--label-subtle___8ndWH">Sign in</span></span></a></div><a class="Primer_Brand__Button-module__Button___scH9Z Primer_Brand__Button-module__Button--secondary___gHnw_ Primer_Brand__Button-module__Button--size-small___zQrEw AuthCTAs-module__cta__WpwQq" href="/signup?ref_cta=Sign+up&amp;ref_loc=header+logged+out&amp;ref_page=%2F%3Cuser-name%3E%2F%3Crepo-name%3E%2Fblob%2Fshow&amp;source=header-repo&amp;source_repo=laserwang%2FML-For-Beginners" data-analytics-event="{&quot;action&quot;:&quot;sign_up&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;auth_cta&quot;,&quot;location&quot;:&quot;header&quot;,&quot;label&quot;:&quot;sign_up_link_auth_cta_header&quot;}" data-hydro-click="{&quot;event_type&quot;:&quot;authentication.click&quot;,&quot;payload&quot;:{&quot;location_in_page&quot;:&quot;site header menu&quot;,&quot;repository_id&quot;:null,&quot;auth_type&quot;:&quot;SIGN_UP&quot;,&quot;originating_url&quot;:&quot;https://github.com/laserwang/ML-For-Beginners/blob/main/2-Regression/1-Tools/README.md&quot;,&quot;user_id&quot;:null}}" data-hydro-click-hmac="5111460123d44a6dc2674792b1fa243ddf5d2dd125b60995938e08114d48a39c"><span class="Primer_Brand__Button-module__Button__text___ED0bX"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--100___B2ueX Primer_Brand__Text-module__Text--weight-medium___qJKf_ Primer_Brand__Button-module__Button--label___qrkyz Primer_Brand__Button-module__Button--label-secondary___eJ0_a">Sign up</span></span></a><button class="Primer_Brand__Button-module__Button___scH9Z Primer_Brand__Button-module__Button--subtle___F7pEE Primer_Brand__Button-module__Button--size-small___zQrEw HeaderAppearanceSettings-module__trigger__hUheK" type="button" aria-haspopup="dialog" aria-labelledby="_R_fbd_"><span class="Primer_Brand__Button-module__Button__leading-visual___jjtTe" data-testid="Button-leading-visual"><svg data-component="Octicon" focusable="false" aria-hidden="true" class="octicon octicon-sliders Primer_Brand__Button-module__Button__icon-visual____qybb" viewBox="0 0 16 16" width="16" height="16" fill="currentColor" display="inline-block" overflow="visible" style="vertical-align:text-bottom"><path d="M15 2.75a.75.75 0 0 1-.75.75h-4a.75.75 0 0 1 0-1.5h4a.75.75 0 0 1 .75.75Zm-8.5.75v1.25a.75.75 0 0 0 1.5 0v-4a.75.75 0 0 0-1.5 0V2H1.75a.75.75 0 0 0 0 1.5H6.5Zm1.25 5.25a.75.75 0 0 0 0-1.5h-6a.75.75 0 0 0 0 1.5h6ZM15 8a.75.75 0 0 1-.75.75H11.5V10a.75.75 0 1 1-1.5 0V6a.75.75 0 0 1 1.5 0v1.25h2.75A.75.75 0 0 1 15 8Zm-9 5.25v-2a.75.75 0 0 0-1.5 0v1.25H1.75a.75.75 0 0 0 0 1.5H4.5v1.25a.75.75 0 0 0 1.5 0v-2Zm9 0a.75.75 0 0 1-.75.75h-6a.75.75 0 0 1 0-1.5h6a.75.75 0 0 1 .75.75Z"></path></svg></span><span class="Primer_Brand__Button-module__Button__text___ED0bX"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--100___B2ueX Primer_Brand__Text-module__Text--weight-medium___qJKf_ Primer_Brand__Button-module__Button--label___qrkyz Primer_Brand__Button-module__Button--label-subtle___8ndWH"></span></span></button><div class="Primer_Brand__Tooltip-module__Tooltip___0Eipx" data-direction="s" aria-hidden="true" id="_R_fbd_">Appearance settings</div></div></div></div></div><div class="MarketingHeader-module__bottomBorder__uZT38" aria-hidden="true"></div></header></div></div>
</react-partial>



      <div hidden="hidden" data-view-component="true" class="js-stale-session-flash stale-session-flash flash flash-warn flash-full">
  
        <svg aria-hidden="true" data-component="Octicon" height="16" viewBox="0 0 16 16" version="1.1" width="16" data-view-component="true" class="octicon octicon-alert">
    <path d="M6.457 1.047c.659-1.234 2.427-1.234 3.086 0l6.082 11.378A1.75 1.75 0 0 1 14.082 15H1.918a1.75 1.75 0 0 1-1.543-2.575Zm1.763.707a.25.25 0 0 0-.44 0L1.698 13.132a.25.25 0 0 0 .22.368h12.164a.25.25 0 0 0 .22-.368Zm.53 3.996v2.5a.75.75 0 0 1-1.5 0v-2.5a.75.75 0 0 1 1.5 0ZM9 11a1 1 0 1 1-2 0 1 1 0 0 1 2 0Z"></path>
</svg>
        <span class="js-stale-session-flash-signed-in" hidden>You signed in with another tab or window. <a class="Link--inTextBlock" href="">Reload</a> to refresh your session.</span>
        <span class="js-stale-session-flash-signed-out" hidden>You signed out in another tab or window. <a class="Link--inTextBlock" href="">Reload</a> to refresh your session.</span>
        <span class="js-stale-session-flash-switched" hidden>You switched accounts on another tab or window. <a class="Link--inTextBlock" href="">Reload</a> to refresh your session.</span>

    <button id="icon-button-0ab7aadc-1be4-4563-b684-f6e4820838de" aria-labelledby="tooltip-2726dc06-0c37-4d4b-b065-27a127bfc966" type="button" data-view-component="true" class="Button Button--iconOnly Button--invisible Button--medium flash-close js-flash-close">  <svg aria-hidden="true" data-component="Octicon" height="16" viewBox="0 0 16 16" version="1.1" width="16" data-view-component="true" class="octicon octicon-x Button-visual">
    <path d="M3.72 3.72a.75.75 0 0 1 1.06 0L8 6.94l3.22-3.22a.749.749 0 0 1 1.275.326.749.749 0 0 1-.215.734L9.06 8l3.22 3.22a.749.749 0 0 1-.326 1.275.749.749 0 0 1-.734-.215L8 9.06l-3.22 3.22a.751.751 0 0 1-1.042-.018.751.751 0 0 1-.018-1.042L6.94 8 3.72 4.78a.75.75 0 0 1 0-1.06Z"></path>
</svg>
</button><tool-tip id="tooltip-2726dc06-0c37-4d4b-b065-27a127bfc966" for="icon-button-0ab7aadc-1be4-4563-b684-f6e4820838de" popover="manual" data-direction="s" data-type="label" data-view-component="true" class="sr-only position-absolute">Dismiss alert</tool-tip>


  
</div>
    </div>

  <div id="start-of-content" class="show-on-focus"></div>








    <div id="js-flash-container" class="flash-container" data-turbo-replace>






  <template class="js-flash-template">
    
<div class="flash flash-full   {{ className }}">
  <div >
    <button autofocus class="flash-close js-flash-close" type="button" aria-label="Dismiss this message">
      <svg aria-hidden="true" data-component="Octicon" height="16" viewBox="0 0 16 16" version="1.1" width="16" data-view-component="true" class="octicon octicon-x">
    <path d="M3.72 3.72a.75.75 0 0 1 1.06 0L8 6.94l3.22-3.22a.749.749 0 0 1 1.275.326.749.749 0 0 1-.215.734L9.06 8l3.22 3.22a.749.749 0 0 1-.326 1.275.749.749 0 0 1-.734-.215L8 9.06l-3.22 3.22a.751.751 0 0 1-1.042-.018.751.751 0 0 1-.018-1.042L6.94 8 3.72 4.78a.75.75 0 0 1 0-1.06Z"></path>
</svg>
    </button>
    <div aria-atomic="true" role="alert" class="js-flash-alert">
      
      <div>{{ message }}</div>

    </div>
  </div>
</div>
  </template>
</div>


    






  <div
    class="application-main "
    data-commit-hovercards-enabled
    data-discussion-hovercards-enabled
    data-issue-and-pr-hovercards-enabled
    data-project-hovercards-enabled
  >
        <div itemscope itemtype="http://schema.org/SoftwareSourceCode" class="">
    <main id="js-repo-pjax-container" >
      
      








  

    <link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/ym-6bc2c9bf8112c038.js" fetchpriority="low" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/sk2-8deeef9351be3911.js" fetchpriority="low" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/ni-3e194d222c7770bf.js" fetchpriority="low" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/7x-71d30cb240cd901f.js" fetchpriority="low" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/wwk-ad869086822937b1.js" fetchpriority="low" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/a1-9f79841ecac1da8e.js" fetchpriority="low" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/wzg-40a3213b3e83400b.js" fetchpriority="low" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/5f-64f8e7d5bcbd4787.js" fetchpriority="low" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/z5-b53a93078d026f1e.js" fetchpriority="low" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/8h-cef26f68c1331011.js" fetchpriority="low" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/fq-3ce13a77e863807a.js" fetchpriority="low" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/a7-596b507bd20acddc.js" fetchpriority="low" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/xfx-c82d8352413aea0a.js" fetchpriority="low" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/j4-b3a9e87fa7878a98.js" fetchpriority="low" />
<link crossorigin="anonymous" rel="modulepreload" href="https://github.githubassets.com/assets/global-nav-bar-29c7aef68ee9db41.js" fetchpriority="low" />
<link crossorigin="anonymous" media="all" rel="stylesheet" href="https://github.githubassets.com/assets/primer-react-css.2d881b4d4a503d1c.module.css" />
<link crossorigin="anonymous" media="all" rel="stylesheet" href="https://github.githubassets.com/assets/pj.75627bfeb9ceb1da.module.css" />
<link crossorigin="anonymous" media="all" rel="stylesheet" href="https://github.githubassets.com/assets/global-nav-bar.2f2560cba06ab359.module.css" />

<react-partial
  partial-name="global-nav-bar"
  data-ssr="true"
  data-attempted-ssr="true"
  data-react-profiling="false"
>
  
  <script type="application/json" data-target="react-partial.embeddedData">{"props":{"contextRegion":{"crumbs":[{"crumb_type":"user","label":"laserwang","is_root":false,"href":"/laserwang"},{"crumb_type":"repository","label":"ML-For-Beginners","is_root":false,"octicon":"repo-forked","href":"/laserwang/ML-For-Beginners"}],"localNavigation":[{"id":"code","icon":"code","label":"Code","href":"/laserwang/ML-For-Beginners","selectedLinks":["repo_source","repo_downloads","repo_commits","repo_releases","repo_tags","repo_branches","repo_packages","repo_deployments","repo_attestations"],"popoverTarget":false,"commandId":"repositories:go-to-code","reactNav":{"appTarget":"code-view","anchor":"code-view-repo-link"},"turboNav":{"frame":"repo-content-turbo-frame"}},{"id":"pull-requests","icon":"git-pull-request","label":"Pull requests","href":"/laserwang/ML-For-Beginners/pulls","selectedLinks":["repo_pulls","checks"],"count":0,"popoverTarget":false,"commandId":"repositories:go-to-pull-requests","reactNav":{"appTarget":null,"anchor":null},"turboNav":{"frame":"repo-content-turbo-frame"}},{"id":"actions","icon":"play","label":"Actions","href":"/laserwang/ML-For-Beginners/actions","selectedLinks":["repo_actions"],"popoverTarget":false,"commandId":"repositories:go-to-actions","reactNav":{"appTarget":"actions-workflows","anchor":null},"turboNav":{"frame":"repo-content-turbo-frame"}},{"id":"projects","icon":"table","label":"Projects","href":"/laserwang/ML-For-Beginners/projects","selectedLinks":["repo_projects","new_repo_project","repo_project"],"popoverTarget":false,"commandId":"repositories:go-to-projects","reactNav":{"appTarget":"repo","anchor":null},"turboNav":{"frame":"repo-content-turbo-frame"}},{"id":"security-and-quality","icon":"shield","label":"Security and quality","href":"/laserwang/ML-For-Beginners/security","selectedLinks":["security","overview","alerts","policy","token_scanning","code_scanning"],"count":0,"popoverTarget":false,"commandId":"repositories:go-to-security","reactNav":{"appTarget":null,"anchor":null},"turboNav":{"frame":"repo-content-turbo-frame"}},{"id":"insights","icon":"graph","label":"Insights","href":"/laserwang/ML-For-Beginners/pulse","selectedLinks":["repo_graphs","repo_contributors","dependency_graph","dependabot_updates","pulse","people","community"],"popoverTarget":false,"commandId":"repositories:go-to-insights","reactNav":{"appTarget":null,"anchor":null},"turboNav":{"frame":"repo-content-turbo-frame"}}],"localNavigationUpdateChannel":null,"selectedLink":"repo_source"},"owner":null,"headerLogo":{"href":"/","aria-label":"Homepage "},"notifications":{"indicatorMode":"disabled","websocketChannel":null,"fetchIndicatorSrc":"/notifications/indicator","fetchIndicatorEnabled":false},"issues":{"href":"/issues"},"pulls":{"href":"/pulls"},"contributedRepos":{"href":"/repos"},"copilot":{"show":false,"showAgentsButton":false,"showRelaunchAnnouncement":false,"copilotChatUrl":null,"copilotApiUrl":"https://api.githubcopilot.com"},"search":{"show":true,"showCommandPalette":false,"isSearchPage":false,"isJumpToSearch":false,"searchContext":{"scope":"repo:laserwang/ML-For-Beginners","current_repo_name":"ML-For-Beginners","current_repo_nwo":"laserwang/ML-For-Beginners","user_id":"laserwang"}},"commandPalette":null,"enterpriseBar":{"show":false},"globalTransactionalMessage":[],"payloadsUrl":"/_global-navigation/payloads.json?can_toggle_site_admin_and_employee_status=0\u0026is_admin_mode_on=0\u0026is_ui_opted_out=0\u0026show_ui_opt_out=0\u0026v=7","contextRegionUrl":"/_global-navigation/context-region.json"}}</script>
  <div data-target="react-partial.reactRoot"><header aria-label="Global navigation menu" data-component="Stack" class="GlobalNav styles-module__appHeader__YzYWk prc-Stack-Stack-UQ9k6" data-gap="none" data-direction="vertical" data-align="stretch" data-wrap="nowrap" data-justify="start" data-padding="none"><div data-component="Stack" class="prc-Stack-Stack-UQ9k6" data-direction="horizontal" data-align="center" data-wrap="nowrap" data-justify="center" data-padding="none"><div data-testid="top-nav-center" data-component="Stack" class="styles-module__center__R3QRv styles-module__withLocalNavigation__rjTJ_ GlobalNavBar-module__loggedOut__Jv1rk prc-Stack-Stack-UQ9k6" data-gap="condensed" data-direction="horizontal" data-align="stretch" data-wrap="nowrap" data-justify="start" data-padding="normal"><nav class="styles-module__contextRegion__VbSp2 prc-Breadcrumbs-BreadcrumbsBase-3Gb-B" aria-label="Breadcrumbs" data-overflow="menu" data-variant="normal" data-component="Breadcrumbs"><ol class="prc-Breadcrumbs-BreadcrumbsList-BKjpe"><li class="prc-Breadcrumbs-ItemWrapper-k0NLn"><a class="styles-module__contextCrumb__IzGIq prc-Breadcrumbs-Item-jcraJ" data-component="Breadcrumbs.Item" href="/laserwang" data-discover="true"><span class="">laserwang</span></a></li><li class="prc-Breadcrumbs-ItemWrapper-k0NLn"><a class="styles-module__contextCrumb__IzGIq prc-Breadcrumbs-Item-jcraJ" data-component="Breadcrumbs.Item" href="/laserwang/ML-For-Beginners" data-discover="true"><span class="styles-module__contextCrumbLast__tI2e3">ML-For-Beginners</span><svg data-component="Octicon" aria-hidden="true" focusable="false" class="octicon octicon-repo-forked styles-module__trailingIcon__sCKDh" viewBox="0 0 16 16" width="12" height="12" fill="currentColor" display="inline-block" overflow="visible" style="vertical-align:text-bottom"><path d="M5 5.372v.878c0 .414.336.75.75.75h4.5a.75.75 0 0 0 .75-.75v-.878a2.25 2.25 0 1 1 1.5 0v.878a2.25 2.25 0 0 1-2.25 2.25h-1.5v2.128a2.251 2.251 0 1 1-1.5 0V8.5h-1.5A2.25 2.25 0 0 1 3.5 6.25v-.878a2.25 2.25 0 1 1 1.5 0ZM5 3.25a.75.75 0 1 0-1.5 0 .75.75 0 0 0 1.5 0Zm6.75.75a.75.75 0 1 0 0-1.5.75.75 0 0 0 0 1.5Zm-3 8.75a.75.75 0 1 0-1.5 0 .75.75 0 0 0 1.5 0Z"></path></svg></a></li></ol></nav></div><div data-testid="top-nav-right" data-component="Stack" class="styles-module__right__mlBQg styles-module__withLocalNavigation__rjTJ_ styles-module__rightWithResponsiveCreateButton__SKn2W prc-Stack-Stack-UQ9k6" data-gap="condensed" data-direction="horizontal" data-align="center" data-wrap="nowrap" data-justify="start" data-padding="normal"></div></div><h2 class="prc-src-InternalVisuallyHidden-2YaI6">Repository navigation</h2><nav class="prc-components-UnderlineWrapper-eT-Yj prc-UnderlineNav-UnderlineWrapper-GWONT LocalNavigation-module__LocalNavigation__b0Xc0" aria-label="Repository" data-variant="inset" data-overflow-mode="wrap" data-hide-icons-breakpoint="medium"><ul class="prc-UnderlineNav-ItemsList-oj8gN prc-components-UnderlineItemList-xKlKC" role="list"><li role="presentation" aria-hidden="true" class="prc-UnderlineNav-WrapSpacer--aLgz"></li><li class="prc-UnderlineNav-UnderlineNavItem-syRjR"><a aria-current="page" data-tab-item="code" data-react-nav="code-view" data-react-nav-anchor="code-view-repo-link" data-turbo-frame="repo-content-turbo-frame" class="prc-components-UnderlineItem-7fP-n" href="/laserwang/ML-For-Beginners" data-discover="true"><span data-component="icon"><svg data-component="Octicon" aria-hidden="true" focusable="false" class="octicon octicon-code" viewBox="0 0 16 16" width="16" height="16" fill="currentColor" display="inline-block" overflow="visible" style="vertical-align:text-bottom"><path d="m11.28 3.22 4.25 4.25a.75.75 0 0 1 0 1.06l-4.25 4.25a.749.749 0 0 1-1.275-.326.749.749 0 0 1 .215-.734L13.94 8l-3.72-3.72a.749.749 0 0 1 .326-1.275.749.749 0 0 1 .734.215Zm-6.56 0a.751.751 0 0 1 1.042.018.751.751 0 0 1 .018 1.042L2.06 8l3.72 3.72a.749.749 0 0 1-.326 1.275.749.749 0 0 1-.734-.215L.47 8.53a.75.75 0 0 1 0-1.06Z"></path></svg></span><span data-component="text" data-content="Code">Code</span></a></li><li class="prc-UnderlineNav-UnderlineNavItem-syRjR"><a data-tab-item="pull-requests" data-turbo-frame="repo-content-turbo-frame" class="prc-components-UnderlineItem-7fP-n" href="/laserwang/ML-For-Beginners/pulls" data-discover="true"><span data-component="icon"><svg data-component="Octicon" aria-hidden="true" focusable="false" class="octicon octicon-git-pull-request" viewBox="0 0 16 16" width="16" height="16" fill="currentColor" display="inline-block" overflow="visible" style="vertical-align:text-bottom"><path d="M1.5 3.25a2.25 2.25 0 1 1 3 2.122v5.256a2.251 2.251 0 1 1-1.5 0V5.372A2.25 2.25 0 0 1 1.5 3.25Zm5.677-.177L9.573.677A.25.25 0 0 1 10 .854V2.5h1A2.5 2.5 0 0 1 13.5 5v5.628a2.251 2.251 0 1 1-1.5 0V5a1 1 0 0 0-1-1h-1v1.646a.25.25 0 0 1-.427.177L7.177 3.427a.25.25 0 0 1 0-.354ZM3.75 2.5a.75.75 0 1 0 0 1.5.75.75 0 0 0 0-1.5Zm0 9.5a.75.75 0 1 0 0 1.5.75.75 0 0 0 0-1.5Zm8.25.75a.75.75 0 1 0 1.5 0 .75.75 0 0 0-1.5 0Z"></path></svg></span><span data-component="text" data-content="Pull requests">Pull requests</span></a></li><li class="prc-UnderlineNav-UnderlineNavItem-syRjR"><a data-tab-item="actions" data-react-nav="actions-workflows" data-turbo-frame="repo-content-turbo-frame" class="prc-components-UnderlineItem-7fP-n" href="/laserwang/ML-For-Beginners/actions" data-discover="true"><span data-component="icon"><svg data-component="Octicon" aria-hidden="true" focusable="false" class="octicon octicon-play" viewBox="0 0 16 16" width="16" height="16" fill="currentColor" display="inline-block" overflow="visible" style="vertical-align:text-bottom"><path d="M8 0a8 8 0 1 1 0 16A8 8 0 0 1 8 0ZM1.5 8a6.5 6.5 0 1 0 13 0 6.5 6.5 0 0 0-13 0Zm4.879-2.773 4.264 2.559a.25.25 0 0 1 0 .428l-4.264 2.559A.25.25 0 0 1 6 10.559V5.442a.25.25 0 0 1 .379-.215Z"></path></svg></span><span data-component="text" data-content="Actions">Actions</span></a></li><li class="prc-UnderlineNav-UnderlineNavItem-syRjR"><a data-tab-item="projects" data-react-nav="repo" data-turbo-frame="repo-content-turbo-frame" class="prc-components-UnderlineItem-7fP-n" href="/laserwang/ML-For-Beginners/projects" data-discover="true"><span data-component="icon"><svg data-component="Octicon" aria-hidden="true" focusable="false" class="octicon octicon-table" viewBox="0 0 16 16" width="16" height="16" fill="currentColor" display="inline-block" overflow="visible" style="vertical-align:text-bottom"><path d="M0 1.75C0 .784.784 0 1.75 0h12.5C15.216 0 16 .784 16 1.75v12.5A1.75 1.75 0 0 1 14.25 16H1.75A1.75 1.75 0 0 1 0 14.25ZM6.5 6.5v8h7.75a.25.25 0 0 0 .25-.25V6.5Zm8-1.5V1.75a.25.25 0 0 0-.25-.25H6.5V5Zm-13 1.5v7.75c0 .138.112.25.25.25H5v-8ZM5 5V1.5H1.75a.25.25 0 0 0-.25.25V5Z"></path></svg></span><span data-component="text" data-content="Projects">Projects</span></a></li><li class="prc-UnderlineNav-UnderlineNavItem-syRjR"><a data-tab-item="security-and-quality" data-turbo-frame="repo-content-turbo-frame" class="prc-components-UnderlineItem-7fP-n" href="/laserwang/ML-For-Beginners/security" data-discover="true"><span data-component="icon"><svg data-component="Octicon" aria-hidden="true" focusable="false" class="octicon octicon-shield" viewBox="0 0 16 16" width="16" height="16" fill="currentColor" display="inline-block" overflow="visible" style="vertical-align:text-bottom"><path d="M7.467.133a1.748 1.748 0 0 1 1.066 0l5.25 1.68A1.75 1.75 0 0 1 15 3.48V7c0 1.566-.32 3.182-1.303 4.682-.983 1.498-2.585 2.813-5.032 3.855a1.697 1.697 0 0 1-1.33 0c-2.447-1.042-4.049-2.357-5.032-3.855C1.32 10.182 1 8.566 1 7V3.48a1.75 1.75 0 0 1 1.217-1.667Zm.61 1.429a.25.25 0 0 0-.153 0l-5.25 1.68a.25.25 0 0 0-.174.238V7c0 1.358.275 2.666 1.057 3.86.784 1.194 2.121 2.34 4.366 3.297a.196.196 0 0 0 .154 0c2.245-.956 3.582-2.104 4.366-3.298C13.225 9.666 13.5 8.36 13.5 7V3.48a.251.251 0 0 0-.174-.237l-5.25-1.68ZM8.75 4.75v3a.75.75 0 0 1-1.5 0v-3a.75.75 0 0 1 1.5 0ZM9 10.5a1 1 0 1 1-2 0 1 1 0 0 1 2 0Z"></path></svg></span><span data-component="text" data-content="Security and quality">Security and quality</span></a></li><li class="prc-UnderlineNav-UnderlineNavItem-syRjR"><a data-tab-item="insights" data-turbo-frame="repo-content-turbo-frame" class="prc-components-UnderlineItem-7fP-n" href="/laserwang/ML-For-Beginners/pulse" data-discover="true"><span data-component="icon"><svg data-component="Octicon" aria-hidden="true" focusable="false" class="octicon octicon-graph" viewBox="0 0 16 16" width="16" height="16" fill="currentColor" display="inline-block" overflow="visible" style="vertical-align:text-bottom"><path d="M1.5 1.75V13.5h13.75a.75.75 0 0 1 0 1.5H.75a.75.75 0 0 1-.75-.75V1.75a.75.75 0 0 1 1.5 0Zm14.28 2.53-5.25 5.25a.75.75 0 0 1-1.06 0L7 7.06 4.28 9.78a.751.751 0 0 1-1.042-.018.751.751 0 0 1-.018-1.042l3.25-3.25a.75.75 0 0 1 1.06 0L10 7.94l4.72-4.72a.751.751 0 0 1 1.042.018.751.751 0 0 1 .018 1.042Z"></path></svg></span><span data-component="text" data-content="Insights">Insights</span></a></li></ul><div class="prc-UnderlineNav-MoreButtonContainer-Dnrq6"><div class="prc-UnderlineNav-MoreButtonDivider-dN0a-"></div><button data-component="overflow-menu-button" type="button" aria-haspopup="true" aria-expanded="false" tabindex="0" class="prc-Button-ButtonBase-9n-Xk prc-UnderlineNav-MoreButton-Y8soj" data-loading="false" data-size="medium" data-variant="invisible" id="_R_2ktp_"><span data-component="buttonContent" data-align="center" class="prc-Button-ButtonContent-Iohp5"><span data-component="text" class="prc-Button-Label-FWkx3"><span>More<span class="prc-src-InternalVisuallyHidden-2YaI6"> items</span></span></span></span><span data-component="trailingAction" class="prc-Button-Visual-YNt2F prc-Button-VisualWrap-E4cnq"><svg data-component="Octicon" aria-hidden="true" focusable="false" class="octicon octicon-triangle-down" viewBox="0 0 16 16" width="16" height="16" fill="currentColor" display="inline-block" overflow="visible" style="vertical-align:text-bottom"><path d="m4.427 7.427 3.396 3.396a.25.25 0 0 0 .354 0l3.396-3.396A.25.25 0 0 0 11.396 7H4.604a.25.25 0 0 0-.177.427Z"></path></svg></span></button></div></nav><div class="d-none"></div></header></div>
</react-partial>


  



<turbo-frame id="repo-content-turbo-frame" target="_top" data-turbo-action="advance" class="">
    <div id="repo-content-pjax-container" class="repository-content " >
    



    
      
    








<react-app
  app-name="code-view"
  initial-path="/laserwang/ML-For-Beginners/blob/main/2-Regression/1-Tools/README.md"
  style="display: block; min-height: calc(100vh - 64px);"
  data-attempted-ssr="true"
  data-ssr="true"
  data-lazy="false"
  data-alternate="false"
  data-data-router-enabled="true"
  data-react-profiling="false"
>
  
  <script type="application/json" data-target="react-app.embeddedData">{"payload":{"codeViewBlobRoute":{"csv":null,"csvError":null,"headerInfo":{"toc":[{"level":1,"text":"Get started with Python and Scikit-learn for regression models","anchor":"get-started-with-python-and-scikit-learn-for-regression-models","htmlText":"Get started with Python and Scikit-learn for regression models"},{"level":2,"text":"Pre-lecture quiz","anchor":"pre-lecture-quiz","htmlText":"Pre-lecture quiz"},{"level":3,"text":"This lesson is available in R!","anchor":"this-lesson-is-available-in-r","htmlText":"This lesson is available in R!"},{"level":2,"text":"Introduction","anchor":"introduction","htmlText":"Introduction"},{"level":2,"text":"Installations and configurations","anchor":"installations-and-configurations","htmlText":"Installations and configurations"},{"level":2,"text":"Your ML authoring environment","anchor":"your-ml-authoring-environment","htmlText":"Your ML authoring environment"},{"level":3,"text":"Exercise - work with a notebook","anchor":"exercise---work-with-a-notebook","htmlText":"Exercise - work with a notebook"},{"level":2,"text":"Up and running with Scikit-learn","anchor":"up-and-running-with-scikit-learn","htmlText":"Up and running with Scikit-learn"},{"level":2,"text":"Exercise - your first Scikit-learn notebook","anchor":"exercise---your-first-scikit-learn-notebook","htmlText":"Exercise - your first Scikit-learn notebook"},{"level":3,"text":"Import libraries","anchor":"import-libraries","htmlText":"Import libraries"},{"level":3,"text":"The diabetes dataset","anchor":"the-diabetes-dataset","htmlText":"The diabetes dataset"},{"level":2,"text":"🚀Challenge","anchor":"challenge","htmlText":"🚀Challenge"},{"level":2,"text":"Post-lecture quiz","anchor":"post-lecture-quiz","htmlText":"Post-lecture quiz"},{"level":2,"text":"Review \u0026 Self Study","anchor":"review--self-study","htmlText":"Review \u0026amp; Self Study"},{"level":2,"text":"Assignment","anchor":"assignment","htmlText":"Assignment"}]},"issueTemplate":null,"discussionTemplate":null,"richText":"\u003carticle class=\"markdown-body entry-content container-lg\" itemprop=\"text\"\u003e\u003cdiv class=\"markdown-heading\" dir=\"auto\"\u003e\u003ch1 tabindex=\"-1\" class=\"heading-element\" dir=\"auto\"\u003eGet started with Python and Scikit-learn for regression models\u003c/h1\u003e\u003ca id=\"user-content-get-started-with-python-and-scikit-learn-for-regression-models\" class=\"anchor\" aria-label=\"Permalink: Get started with Python and Scikit-learn for regression models\" href=\"#get-started-with-python-and-scikit-learn-for-regression-models\"\u003e\u003csvg data-component=\"Octicon\" class=\"octicon octicon-link\" viewBox=\"0 0 16 16\" version=\"1.1\" width=\"16\" height=\"16\" aria-hidden=\"true\"\u003e\u003cpath d=\"m7.775 3.275 1.25-1.25a3.5 3.5 0 1 1 4.95 4.95l-2.5 2.5a3.5 3.5 0 0 1-4.95 0 .751.751 0 0 1 .018-1.042.751.751 0 0 1 1.042-.018 1.998 1.998 0 0 0 2.83 0l2.5-2.5a2.002 2.002 0 0 0-2.83-2.83l-1.25 1.25a.751.751 0 0 1-1.042-.018.751.751 0 0 1-.018-1.042Zm-4.69 9.64a1.998 1.998 0 0 0 2.83 0l1.25-1.25a.751.751 0 0 1 1.042.018.751.751 0 0 1 .018 1.042l-1.25 1.25a3.5 3.5 0 1 1-4.95-4.95l2.5-2.5a3.5 3.5 0 0 1 4.95 0 .751.751 0 0 1-.018 1.042.751.751 0 0 1-1.042.018 1.998 1.998 0 0 0-2.83 0l-2.5 2.5a1.998 1.998 0 0 0 0 2.83Z\"\u003e\u003c/path\u003e\u003c/svg\u003e\u003c/a\u003e\u003c/div\u003e\n\u003cp dir=\"auto\"\u003e\u003ca target=\"_blank\" rel=\"noopener noreferrer\" href=\"/laserwang/ML-For-Beginners/blob/main/sketchnotes/ml-regression.png\"\u003e\u003cimg src=\"/laserwang/ML-For-Beginners/raw/main/sketchnotes/ml-regression.png\" alt=\"Summary of regressions in a sketchnote\" style=\"max-width: 100%;\"\u003e\u003c/a\u003e\u003c/p\u003e\n\u003cblockquote\u003e\n\u003cp dir=\"auto\"\u003eSketchnote by \u003ca href=\"https://www.twitter.com/girlie_mac\" rel=\"nofollow\"\u003eTomomi Imura\u003c/a\u003e\u003c/p\u003e\n\u003c/blockquote\u003e\n\u003cdiv class=\"markdown-heading\" dir=\"auto\"\u003e\u003ch2 tabindex=\"-1\" class=\"heading-element\" dir=\"auto\"\u003e\u003ca href=\"https://ff-quizzes.netlify.app/en/ml/\" rel=\"nofollow\"\u003ePre-lecture quiz\u003c/a\u003e\u003c/h2\u003e\u003ca id=\"user-content-pre-lecture-quiz\" class=\"anchor\" aria-label=\"Permalink: Pre-lecture quiz\" href=\"#pre-lecture-quiz\"\u003e\u003csvg data-component=\"Octicon\" class=\"octicon octicon-link\" viewBox=\"0 0 16 16\" version=\"1.1\" width=\"16\" height=\"16\" aria-hidden=\"true\"\u003e\u003cpath d=\"m7.775 3.275 1.25-1.25a3.5 3.5 0 1 1 4.95 4.95l-2.5 2.5a3.5 3.5 0 0 1-4.95 0 .751.751 0 0 1 .018-1.042.751.751 0 0 1 1.042-.018 1.998 1.998 0 0 0 2.83 0l2.5-2.5a2.002 2.002 0 0 0-2.83-2.83l-1.25 1.25a.751.751 0 0 1-1.042-.018.751.751 0 0 1-.018-1.042Zm-4.69 9.64a1.998 1.998 0 0 0 2.83 0l1.25-1.25a.751.751 0 0 1 1.042.018.751.751 0 0 1 .018 1.042l-1.25 1.25a3.5 3.5 0 1 1-4.95-4.95l2.5-2.5a3.5 3.5 0 0 1 4.95 0 .751.751 0 0 1-.018 1.042.751.751 0 0 1-1.042.018 1.998 1.998 0 0 0-2.83 0l-2.5 2.5a1.998 1.998 0 0 0 0 2.83Z\"\u003e\u003c/path\u003e\u003c/svg\u003e\u003c/a\u003e\u003c/div\u003e\n\u003cblockquote\u003e\n\u003cdiv class=\"markdown-heading\" dir=\"auto\"\u003e\u003ch3 tabindex=\"-1\" class=\"heading-element\" dir=\"auto\"\u003e\u003ca href=\"/laserwang/ML-For-Beginners/blob/main/2-Regression/1-Tools/solution/R/lesson_1.html\"\u003eThis lesson is available in R!\u003c/a\u003e\u003c/h3\u003e\u003ca id=\"user-content-this-lesson-is-available-in-r\" class=\"anchor\" aria-label=\"Permalink: This lesson is available in R!\" href=\"#this-lesson-is-available-in-r\"\u003e\u003csvg data-component=\"Octicon\" class=\"octicon octicon-link\" viewBox=\"0 0 16 16\" version=\"1.1\" width=\"16\" height=\"16\" aria-hidden=\"true\"\u003e\u003cpath d=\"m7.775 3.275 1.25-1.25a3.5 3.5 0 1 1 4.95 4.95l-2.5 2.5a3.5 3.5 0 0 1-4.95 0 .751.751 0 0 1 .018-1.042.751.751 0 0 1 1.042-.018 1.998 1.998 0 0 0 2.83 0l2.5-2.5a2.002 2.002 0 0 0-2.83-2.83l-1.25 1.25a.751.751 0 0 1-1.042-.018.751.751 0 0 1-.018-1.042Zm-4.69 9.64a1.998 1.998 0 0 0 2.83 0l1.25-1.25a.751.751 0 0 1 1.042.018.751.751 0 0 1 .018 1.042l-1.25 1.25a3.5 3.5 0 1 1-4.95-4.95l2.5-2.5a3.5 3.5 0 0 1 4.95 0 .751.751 0 0 1-.018 1.042.751.751 0 0 1-1.042.018 1.998 1.998 0 0 0-2.83 0l-2.5 2.5a1.998 1.998 0 0 0 0 2.83Z\"\u003e\u003c/path\u003e\u003c/svg\u003e\u003c/a\u003e\u003c/div\u003e\n\u003c/blockquote\u003e\n\u003cdiv class=\"markdown-heading\" dir=\"auto\"\u003e\u003ch2 tabindex=\"-1\" class=\"heading-element\" dir=\"auto\"\u003eIntroduction\u003c/h2\u003e\u003ca id=\"user-content-introduction\" class=\"anchor\" aria-label=\"Permalink: Introduction\" href=\"#introduction\"\u003e\u003csvg data-component=\"Octicon\" class=\"octicon octicon-link\" viewBox=\"0 0 16 16\" version=\"1.1\" width=\"16\" height=\"16\" aria-hidden=\"true\"\u003e\u003cpath d=\"m7.775 3.275 1.25-1.25a3.5 3.5 0 1 1 4.95 4.95l-2.5 2.5a3.5 3.5 0 0 1-4.95 0 .751.751 0 0 1 .018-1.042.751.751 0 0 1 1.042-.018 1.998 1.998 0 0 0 2.83 0l2.5-2.5a2.002 2.002 0 0 0-2.83-2.83l-1.25 1.25a.751.751 0 0 1-1.042-.018.751.751 0 0 1-.018-1.042Zm-4.69 9.64a1.998 1.998 0 0 0 2.83 0l1.25-1.25a.751.751 0 0 1 1.042.018.751.751 0 0 1 .018 1.042l-1.25 1.25a3.5 3.5 0 1 1-4.95-4.95l2.5-2.5a3.5 3.5 0 0 1 4.95 0 .751.751 0 0 1-.018 1.042.751.751 0 0 1-1.042.018 1.998 1.998 0 0 0-2.83 0l-2.5 2.5a1.998 1.998 0 0 0 0 2.83Z\"\u003e\u003c/path\u003e\u003c/svg\u003e\u003c/a\u003e\u003c/div\u003e\n\u003cp dir=\"auto\"\u003eIn these four lessons, you will discover how to build regression models. We will discuss what these are for shortly. But before you do anything, make sure you have the right tools in place to start the process!\u003c/p\u003e\n\u003cp dir=\"auto\"\u003eIn this lesson, you will learn how to:\u003c/p\u003e\n\u003cul dir=\"auto\"\u003e\n\u003cli\u003eConfigure your computer for local machine learning tasks.\u003c/li\u003e\n\u003cli\u003eWork with Jupyter notebooks.\u003c/li\u003e\n\u003cli\u003eUse Scikit-learn, including installation.\u003c/li\u003e\n\u003cli\u003eExplore linear regression with a hands-on exercise.\u003c/li\u003e\n\u003c/ul\u003e\n\u003cdiv class=\"markdown-heading\" dir=\"auto\"\u003e\u003ch2 tabindex=\"-1\" class=\"heading-element\" dir=\"auto\"\u003eInstallations and configurations\u003c/h2\u003e\u003ca id=\"user-content-installations-and-configurations\" class=\"anchor\" aria-label=\"Permalink: Installations and configurations\" href=\"#installations-and-configurations\"\u003e\u003csvg data-component=\"Octicon\" class=\"octicon octicon-link\" viewBox=\"0 0 16 16\" version=\"1.1\" width=\"16\" height=\"16\" aria-hidden=\"true\"\u003e\u003cpath d=\"m7.775 3.275 1.25-1.25a3.5 3.5 0 1 1 4.95 4.95l-2.5 2.5a3.5 3.5 0 0 1-4.95 0 .751.751 0 0 1 .018-1.042.751.751 0 0 1 1.042-.018 1.998 1.998 0 0 0 2.83 0l2.5-2.5a2.002 2.002 0 0 0-2.83-2.83l-1.25 1.25a.751.751 0 0 1-1.042-.018.751.751 0 0 1-.018-1.042Zm-4.69 9.64a1.998 1.998 0 0 0 2.83 0l1.25-1.25a.751.751 0 0 1 1.042.018.751.751 0 0 1 .018 1.042l-1.25 1.25a3.5 3.5 0 1 1-4.95-4.95l2.5-2.5a3.5 3.5 0 0 1 4.95 0 .751.751 0 0 1-.018 1.042.751.751 0 0 1-1.042.018 1.998 1.998 0 0 0-2.83 0l-2.5 2.5a1.998 1.998 0 0 0 0 2.83Z\"\u003e\u003c/path\u003e\u003c/svg\u003e\u003c/a\u003e\u003c/div\u003e\n\u003cp dir=\"auto\"\u003e\u003ca href=\"https://youtu.be/-DfeD2k2Kj0\" title=\"ML for beginners -Setup your tools ready to build Machine Learning models\" rel=\"nofollow\"\u003e\u003cimg src=\"https://camo.githubusercontent.com/cfe6da7a53fc1f300b6537f592f23be63ced5f5e758f334173ad98c8ff9dae5f/68747470733a2f2f696d672e796f75747562652e636f6d2f76692f2d44666544326b324b6a302f302e6a7067\" alt=\"ML for beginners - Setup your tools ready to build Machine Learning models\" data-canonical-src=\"https://img.youtube.com/vi/-DfeD2k2Kj0/0.jpg\" style=\"max-width: 100%;\"\u003e\u003c/a\u003e\u003c/p\u003e\n\u003cblockquote\u003e\n\u003cp dir=\"auto\"\u003e🎥 Click the image above for a short video working through configuring your computer for ML.\u003c/p\u003e\n\u003c/blockquote\u003e\n\u003col dir=\"auto\"\u003e\n\u003cli\u003e\n\u003cp dir=\"auto\"\u003e\u003cstrong\u003eInstall Python\u003c/strong\u003e. Ensure that \u003ca href=\"https://www.python.org/downloads/\" rel=\"nofollow\"\u003ePython\u003c/a\u003e is installed on your computer. You will use Python for many data science and machine learning tasks. Most computer systems already include a Python installation. There are useful \u003ca href=\"https://code.visualstudio.com/learn/educators/installers?WT.mc_id=academic-77952-leestott\" rel=\"nofollow\"\u003ePython Coding Packs\u003c/a\u003e available as well, to ease the setup for some users.\u003c/p\u003e\n\u003cp dir=\"auto\"\u003eSome usages of Python, however, require one version of the software, whereas others require a different version. For this reason, it's useful to work within a \u003ca href=\"https://docs.python.org/3/library/venv.html\" rel=\"nofollow\"\u003evirtual environment\u003c/a\u003e.\u003c/p\u003e\n\u003c/li\u003e\n\u003cli\u003e\n\u003cp dir=\"auto\"\u003e\u003cstrong\u003eInstall Visual Studio Code\u003c/strong\u003e. Make sure you have Visual Studio Code installed on your computer. Follow these instructions to \u003ca href=\"https://code.visualstudio.com/\" rel=\"nofollow\"\u003einstall Visual Studio Code\u003c/a\u003e for the basic installation. You are going to use Python in Visual Studio Code in this course, so you might want to brush up on how to \u003ca href=\"https://docs.microsoft.com/learn/modules/python-install-vscode?WT.mc_id=academic-77952-leestott\" rel=\"nofollow\"\u003econfigure Visual Studio Code\u003c/a\u003e for Python development.\u003c/p\u003e\n\u003cblockquote\u003e\n\u003cp dir=\"auto\"\u003eGet comfortable with Python by working through this collection of \u003ca href=\"https://docs.microsoft.com/users/jenlooper-2911/collections/mp1pagggd5qrq7?WT.mc_id=academic-77952-leestott\" rel=\"nofollow\"\u003eLearn modules\u003c/a\u003e\u003c/p\u003e\n\u003cp dir=\"auto\"\u003e\u003ca href=\"https://youtu.be/yyQM70vi7V8\" title=\"Setup Python with Visual Studio Code\" rel=\"nofollow\"\u003e\u003cimg src=\"https://camo.githubusercontent.com/9c6fc3349020bdf8730603a261858b7ce087e27283e938dbd47aed171a6bffc7/68747470733a2f2f696d672e796f75747562652e636f6d2f76692f7979514d373076693756382f302e6a7067\" alt=\"Setup Python with Visual Studio Code\" data-canonical-src=\"https://img.youtube.com/vi/yyQM70vi7V8/0.jpg\" style=\"max-width: 100%;\"\u003e\u003c/a\u003e\u003c/p\u003e\n\u003cp dir=\"auto\"\u003e🎥 Click the image above for a video: using Python within VS Code.\u003c/p\u003e\n\u003c/blockquote\u003e\n\u003c/li\u003e\n\u003cli\u003e\n\u003cp dir=\"auto\"\u003e\u003cstrong\u003eInstall Scikit-learn\u003c/strong\u003e, by following \u003ca href=\"https://scikit-learn.org/stable/install.html\" rel=\"nofollow\"\u003ethese instructions\u003c/a\u003e. Since you need to ensure that you use Python 3, it's recommended that you use a virtual environment. Note, if you are installing this library on a M1 Mac, there are special instructions on the page linked above.\u003c/p\u003e\n\u003c/li\u003e\n\u003cli\u003e\n\u003cp dir=\"auto\"\u003e\u003cstrong\u003eInstall Jupyter Notebook\u003c/strong\u003e. You will need to \u003ca href=\"https://pypi.org/project/jupyter/\" rel=\"nofollow\"\u003einstall the Jupyter package\u003c/a\u003e.\u003c/p\u003e\n\u003c/li\u003e\n\u003c/ol\u003e\n\u003cdiv class=\"markdown-heading\" dir=\"auto\"\u003e\u003ch2 tabindex=\"-1\" class=\"heading-element\" dir=\"auto\"\u003eYour ML authoring environment\u003c/h2\u003e\u003ca id=\"user-content-your-ml-authoring-environment\" class=\"anchor\" aria-label=\"Permalink: Your ML authoring environment\" href=\"#your-ml-authoring-environment\"\u003e\u003csvg data-component=\"Octicon\" class=\"octicon octicon-link\" viewBox=\"0 0 16 16\" version=\"1.1\" width=\"16\" height=\"16\" aria-hidden=\"true\"\u003e\u003cpath d=\"m7.775 3.275 1.25-1.25a3.5 3.5 0 1 1 4.95 4.95l-2.5 2.5a3.5 3.5 0 0 1-4.95 0 .751.751 0 0 1 .018-1.042.751.751 0 0 1 1.042-.018 1.998 1.998 0 0 0 2.83 0l2.5-2.5a2.002 2.002 0 0 0-2.83-2.83l-1.25 1.25a.751.751 0 0 1-1.042-.018.751.751 0 0 1-.018-1.042Zm-4.69 9.64a1.998 1.998 0 0 0 2.83 0l1.25-1.25a.751.751 0 0 1 1.042.018.751.751 0 0 1 .018 1.042l-1.25 1.25a3.5 3.5 0 1 1-4.95-4.95l2.5-2.5a3.5 3.5 0 0 1 4.95 0 .751.751 0 0 1-.018 1.042.751.751 0 0 1-1.042.018 1.998 1.998 0 0 0-2.83 0l-2.5 2.5a1.998 1.998 0 0 0 0 2.83Z\"\u003e\u003c/path\u003e\u003c/svg\u003e\u003c/a\u003e\u003c/div\u003e\n\u003cp dir=\"auto\"\u003eYou are going to use \u003cstrong\u003enotebooks\u003c/strong\u003e to develop your Python code and create machine learning models. This type of file is a common tool for data scientists, and they can be identified by their suffix or extension \u003ccode\u003e.ipynb\u003c/code\u003e.\u003c/p\u003e\n\u003cp dir=\"auto\"\u003eNotebooks are an interactive environment that allow the developer to both code and add notes and write documentation around the code which is quite helpful for experimental or research-oriented projects.\u003c/p\u003e\n\u003cp dir=\"auto\"\u003e\u003ca href=\"https://youtu.be/7E-jC8FLA2E\" title=\"ML for beginners - Set up Jupyter Notebooks to start building regression models\" rel=\"nofollow\"\u003e\u003cimg src=\"https://camo.githubusercontent.com/1dafe5e0405a3377e49d24136bca64930545ed69359e4fc053fff88002e50078/68747470733a2f2f696d672e796f75747562652e636f6d2f76692f37452d6a4338464c4132452f302e6a7067\" alt=\"ML for beginners - Set up Jupyter Notebooks to start building regression models\" data-canonical-src=\"https://img.youtube.com/vi/7E-jC8FLA2E/0.jpg\" style=\"max-width: 100%;\"\u003e\u003c/a\u003e\u003c/p\u003e\n\u003cblockquote\u003e\n\u003cp dir=\"auto\"\u003e🎥 Click the image above for a short video working through this exercise.\u003c/p\u003e\n\u003c/blockquote\u003e\n\u003cdiv class=\"markdown-heading\" dir=\"auto\"\u003e\u003ch3 tabindex=\"-1\" class=\"heading-element\" dir=\"auto\"\u003eExercise - work with a notebook\u003c/h3\u003e\u003ca id=\"user-content-exercise---work-with-a-notebook\" class=\"anchor\" aria-label=\"Permalink: Exercise - work with a notebook\" href=\"#exercise---work-with-a-notebook\"\u003e\u003csvg data-component=\"Octicon\" class=\"octicon octicon-link\" viewBox=\"0 0 16 16\" version=\"1.1\" width=\"16\" height=\"16\" aria-hidden=\"true\"\u003e\u003cpath d=\"m7.775 3.275 1.25-1.25a3.5 3.5 0 1 1 4.95 4.95l-2.5 2.5a3.5 3.5 0 0 1-4.95 0 .751.751 0 0 1 .018-1.042.751.751 0 0 1 1.042-.018 1.998 1.998 0 0 0 2.83 0l2.5-2.5a2.002 2.002 0 0 0-2.83-2.83l-1.25 1.25a.751.751 0 0 1-1.042-.018.751.751 0 0 1-.018-1.042Zm-4.69 9.64a1.998 1.998 0 0 0 2.83 0l1.25-1.25a.751.751 0 0 1 1.042.018.751.751 0 0 1 .018 1.042l-1.25 1.25a3.5 3.5 0 1 1-4.95-4.95l2.5-2.5a3.5 3.5 0 0 1 4.95 0 .751.751 0 0 1-.018 1.042.751.751 0 0 1-1.042.018 1.998 1.998 0 0 0-2.83 0l-2.5 2.5a1.998 1.998 0 0 0 0 2.83Z\"\u003e\u003c/path\u003e\u003c/svg\u003e\u003c/a\u003e\u003c/div\u003e\n\u003cp dir=\"auto\"\u003eIn this folder, you will find the file \u003cem\u003enotebook.ipynb\u003c/em\u003e.\u003c/p\u003e\n\u003col dir=\"auto\"\u003e\n\u003cli\u003e\n\u003cp dir=\"auto\"\u003eOpen \u003cem\u003enotebook.ipynb\u003c/em\u003e in Visual Studio Code.\u003c/p\u003e\n\u003cp dir=\"auto\"\u003eA Jupyter server will start with Python 3+ started. You will find areas of the notebook that can be \u003ccode\u003erun\u003c/code\u003e, pieces of code. You can run a code block, by selecting the icon that looks like a play button.\u003c/p\u003e\n\u003c/li\u003e\n\u003cli\u003e\n\u003cp dir=\"auto\"\u003eSelect the \u003ccode\u003emd\u003c/code\u003e icon and add a bit of markdown, and the following text \u003cstrong\u003e# Welcome to your notebook\u003c/strong\u003e.\u003c/p\u003e\n\u003cp dir=\"auto\"\u003eNext, add some Python code.\u003c/p\u003e\n\u003c/li\u003e\n\u003cli\u003e\n\u003cp dir=\"auto\"\u003eType \u003cstrong\u003eprint('hello notebook')\u003c/strong\u003e in the code block.\u003c/p\u003e\n\u003c/li\u003e\n\u003cli\u003e\n\u003cp dir=\"auto\"\u003eSelect the arrow to run the code.\u003c/p\u003e\n\u003cp dir=\"auto\"\u003eYou should see the printed statement:\u003c/p\u003e\n\u003cdiv class=\"snippet-clipboard-content notranslate position-relative overflow-auto\" data-snippet-clipboard-copy-content=\"hello notebook\"\u003e\u003cpre lang=\"output\" class=\"notranslate\"\u003e\u003ccode\u003ehello notebook\n\u003c/code\u003e\u003c/pre\u003e\u003c/div\u003e\n\u003c/li\u003e\n\u003c/ol\u003e\n\u003cp dir=\"auto\"\u003e\u003ca target=\"_blank\" rel=\"noopener noreferrer\" href=\"/laserwang/ML-For-Beginners/blob/main/2-Regression/1-Tools/images/notebook.jpg\"\u003e\u003cimg src=\"/laserwang/ML-For-Beginners/raw/main/2-Regression/1-Tools/images/notebook.jpg\" alt=\"VS Code with a notebook open\" style=\"max-width: 100%;\"\u003e\u003c/a\u003e\u003c/p\u003e\n\u003cp dir=\"auto\"\u003eYou can interleaf your code with comments to self-document the notebook.\u003c/p\u003e\n\u003cp dir=\"auto\"\u003e✅ Think for a minute how different a web developer's working environment is versus that of a data scientist.\u003c/p\u003e\n\u003cdiv class=\"markdown-heading\" dir=\"auto\"\u003e\u003ch2 tabindex=\"-1\" class=\"heading-element\" dir=\"auto\"\u003eUp and running with Scikit-learn\u003c/h2\u003e\u003ca id=\"user-content-up-and-running-with-scikit-learn\" class=\"anchor\" aria-label=\"Permalink: Up and running with Scikit-learn\" href=\"#up-and-running-with-scikit-learn\"\u003e\u003csvg data-component=\"Octicon\" class=\"octicon octicon-link\" viewBox=\"0 0 16 16\" version=\"1.1\" width=\"16\" height=\"16\" aria-hidden=\"true\"\u003e\u003cpath d=\"m7.775 3.275 1.25-1.25a3.5 3.5 0 1 1 4.95 4.95l-2.5 2.5a3.5 3.5 0 0 1-4.95 0 .751.751 0 0 1 .018-1.042.751.751 0 0 1 1.042-.018 1.998 1.998 0 0 0 2.83 0l2.5-2.5a2.002 2.002 0 0 0-2.83-2.83l-1.25 1.25a.751.751 0 0 1-1.042-.018.751.751 0 0 1-.018-1.042Zm-4.69 9.64a1.998 1.998 0 0 0 2.83 0l1.25-1.25a.751.751 0 0 1 1.042.018.751.751 0 0 1 .018 1.042l-1.25 1.25a3.5 3.5 0 1 1-4.95-4.95l2.5-2.5a3.5 3.5 0 0 1 4.95 0 .751.751 0 0 1-.018 1.042.751.751 0 0 1-1.042.018 1.998 1.998 0 0 0-2.83 0l-2.5 2.5a1.998 1.998 0 0 0 0 2.83Z\"\u003e\u003c/path\u003e\u003c/svg\u003e\u003c/a\u003e\u003c/div\u003e\n\u003cp dir=\"auto\"\u003eNow that Python is set up in your local environment, and you are comfortable with Jupyter notebooks, let's get equally comfortable with Scikit-learn (pronounce it \u003ccode\u003esci\u003c/code\u003e as in \u003ccode\u003escience\u003c/code\u003e). Scikit-learn provides an \u003ca href=\"https://scikit-learn.org/stable/modules/classes.html#api-ref\" rel=\"nofollow\"\u003eextensive API\u003c/a\u003e to help you perform ML tasks.\u003c/p\u003e\n\u003cp dir=\"auto\"\u003eAccording to their \u003ca href=\"https://scikit-learn.org/stable/getting_started.html\" rel=\"nofollow\"\u003ewebsite\u003c/a\u003e, \"Scikit-learn is an open source machine learning library that supports supervised and unsupervised learning. It also provides various tools for model fitting, data preprocessing, model selection and evaluation, and many other utilities.\"\u003c/p\u003e\n\u003cp dir=\"auto\"\u003eIn this course, you will use Scikit-learn and other tools to build machine learning models to perform what we call 'traditional machine learning' tasks. We have deliberately avoided neural networks and deep learning, as they are better covered in our forthcoming 'AI for Beginners' curriculum.\u003c/p\u003e\n\u003cp dir=\"auto\"\u003eScikit-learn makes it straightforward to build models and evaluate them for use. It is primarily focused on using numeric data and contains several ready-made datasets for use as learning tools. It also includes pre-built models for students to try. Let's explore the process of loading prepackaged data and using a built in estimator  first ML model with Scikit-learn with some basic data.\u003c/p\u003e\n\u003cdiv class=\"markdown-heading\" dir=\"auto\"\u003e\u003ch2 tabindex=\"-1\" class=\"heading-element\" dir=\"auto\"\u003eExercise - your first Scikit-learn notebook\u003c/h2\u003e\u003ca id=\"user-content-exercise---your-first-scikit-learn-notebook\" class=\"anchor\" aria-label=\"Permalink: Exercise - your first Scikit-learn notebook\" href=\"#exercise---your-first-scikit-learn-notebook\"\u003e\u003csvg data-component=\"Octicon\" class=\"octicon octicon-link\" viewBox=\"0 0 16 16\" version=\"1.1\" width=\"16\" height=\"16\" aria-hidden=\"true\"\u003e\u003cpath d=\"m7.775 3.275 1.25-1.25a3.5 3.5 0 1 1 4.95 4.95l-2.5 2.5a3.5 3.5 0 0 1-4.95 0 .751.751 0 0 1 .018-1.042.751.751 0 0 1 1.042-.018 1.998 1.998 0 0 0 2.83 0l2.5-2.5a2.002 2.002 0 0 0-2.83-2.83l-1.25 1.25a.751.751 0 0 1-1.042-.018.751.751 0 0 1-.018-1.042Zm-4.69 9.64a1.998 1.998 0 0 0 2.83 0l1.25-1.25a.751.751 0 0 1 1.042.018.751.751 0 0 1 .018 1.042l-1.25 1.25a3.5 3.5 0 1 1-4.95-4.95l2.5-2.5a3.5 3.5 0 0 1 4.95 0 .751.751 0 0 1-.018 1.042.751.751 0 0 1-1.042.018 1.998 1.998 0 0 0-2.83 0l-2.5 2.5a1.998 1.998 0 0 0 0 2.83Z\"\u003e\u003c/path\u003e\u003c/svg\u003e\u003c/a\u003e\u003c/div\u003e\n\u003cblockquote\u003e\n\u003cp dir=\"auto\"\u003eThis tutorial was inspired by the \u003ca href=\"https://scikit-learn.org/stable/auto_examples/linear_model/plot_ols.html#sphx-glr-auto-examples-linear-model-plot-ols-py\" rel=\"nofollow\"\u003elinear regression example\u003c/a\u003e on Scikit-learn's web site.\u003c/p\u003e\n\u003c/blockquote\u003e\n\u003cp dir=\"auto\"\u003e\u003ca href=\"https://youtu.be/2xkXL5EUpS0\" title=\"ML for beginners - Your First Linear Regression Project in Python\" rel=\"nofollow\"\u003e\u003cimg src=\"https://camo.githubusercontent.com/ace25df1c9ac0eb091b220b37a0dac8539eea6cf35c8df6dec29eefb6f076d07/68747470733a2f2f696d672e796f75747562652e636f6d2f76692f32786b584c3545557053302f302e6a7067\" alt=\"ML for beginners - Your First Linear Regression Project in Python\" data-canonical-src=\"https://img.youtube.com/vi/2xkXL5EUpS0/0.jpg\" style=\"max-width: 100%;\"\u003e\u003c/a\u003e\u003c/p\u003e\n\u003cblockquote\u003e\n\u003cp dir=\"auto\"\u003e🎥 Click the image above for a short video working through this exercise.\u003c/p\u003e\n\u003c/blockquote\u003e\n\u003cp dir=\"auto\"\u003eIn the \u003cem\u003enotebook.ipynb\u003c/em\u003e file associated to this lesson, clear out all the cells by pressing the 'trash can' icon.\u003c/p\u003e\n\u003cp dir=\"auto\"\u003eIn this section, you will work with a small dataset about diabetes that is built into Scikit-learn for learning purposes. Imagine that you wanted to test a treatment for diabetic patients. Machine Learning models might help you determine which patients would respond better to the treatment, based on combinations of variables. Even a very basic regression model, when visualized, might show information about variables that would help you organize your theoretical clinical trials.\u003c/p\u003e\n\u003cp dir=\"auto\"\u003e✅ There are many types of regression methods, and which one you pick depends on the answer you're looking for. If you want to predict the probable height for a person of a given age, you'd use linear regression, as you're seeking a \u003cstrong\u003enumeric value\u003c/strong\u003e. If you're interested in discovering whether a type of cuisine should be considered vegan or not, you're looking for a \u003cstrong\u003ecategory assignment\u003c/strong\u003e so you would use logistic regression. You'll learn more about logistic regression later. Think a bit about some questions you can ask of data, and which of these methods would be more appropriate.\u003c/p\u003e\n\u003cp dir=\"auto\"\u003eLet's get started on this task.\u003c/p\u003e\n\u003cdiv class=\"markdown-heading\" dir=\"auto\"\u003e\u003ch3 tabindex=\"-1\" class=\"heading-element\" dir=\"auto\"\u003eImport libraries\u003c/h3\u003e\u003ca id=\"user-content-import-libraries\" class=\"anchor\" aria-label=\"Permalink: Import libraries\" href=\"#import-libraries\"\u003e\u003csvg data-component=\"Octicon\" class=\"octicon octicon-link\" viewBox=\"0 0 16 16\" version=\"1.1\" width=\"16\" height=\"16\" aria-hidden=\"true\"\u003e\u003cpath d=\"m7.775 3.275 1.25-1.25a3.5 3.5 0 1 1 4.95 4.95l-2.5 2.5a3.5 3.5 0 0 1-4.95 0 .751.751 0 0 1 .018-1.042.751.751 0 0 1 1.042-.018 1.998 1.998 0 0 0 2.83 0l2.5-2.5a2.002 2.002 0 0 0-2.83-2.83l-1.25 1.25a.751.751 0 0 1-1.042-.018.751.751 0 0 1-.018-1.042Zm-4.69 9.64a1.998 1.998 0 0 0 2.83 0l1.25-1.25a.751.751 0 0 1 1.042.018.751.751 0 0 1 .018 1.042l-1.25 1.25a3.5 3.5 0 1 1-4.95-4.95l2.5-2.5a3.5 3.5 0 0 1 4.95 0 .751.751 0 0 1-.018 1.042.751.751 0 0 1-1.042.018 1.998 1.998 0 0 0-2.83 0l-2.5 2.5a1.998 1.998 0 0 0 0 2.83Z\"\u003e\u003c/path\u003e\u003c/svg\u003e\u003c/a\u003e\u003c/div\u003e\n\u003cp dir=\"auto\"\u003eFor this task we will import some libraries:\u003c/p\u003e\n\u003cul dir=\"auto\"\u003e\n\u003cli\u003e\u003cstrong\u003ematplotlib\u003c/strong\u003e. It's a useful \u003ca href=\"https://matplotlib.org/\" rel=\"nofollow\"\u003egraphing tool\u003c/a\u003e and we will use it to create a line plot.\u003c/li\u003e\n\u003cli\u003e\u003cstrong\u003enumpy\u003c/strong\u003e. \u003ca href=\"https://numpy.org/doc/stable/user/whatisnumpy.html\" rel=\"nofollow\"\u003enumpy\u003c/a\u003e is a useful library for handling numeric data in Python.\u003c/li\u003e\n\u003cli\u003e\u003cstrong\u003esklearn\u003c/strong\u003e. This is the \u003ca href=\"https://scikit-learn.org/stable/user_guide.html\" rel=\"nofollow\"\u003eScikit-learn\u003c/a\u003e library.\u003c/li\u003e\n\u003c/ul\u003e\n\u003cp dir=\"auto\"\u003eImport some libraries to help with your tasks.\u003c/p\u003e\n\u003col dir=\"auto\"\u003e\n\u003cli\u003e\n\u003cp dir=\"auto\"\u003eAdd imports by typing the following code:\u003c/p\u003e\n\u003cdiv class=\"highlight highlight-source-python notranslate position-relative overflow-auto\" dir=\"auto\" data-snippet-clipboard-copy-content=\"import matplotlib.pyplot as plt\nimport numpy as np\nfrom sklearn import datasets, linear_model, model_selection\"\u003e\u003cpre\u003e\u003cspan class=\"pl-k\"\u003eimport\u003c/span\u003e \u003cspan class=\"pl-s1\"\u003ematplotlib\u003c/span\u003e.\u003cspan class=\"pl-s1\"\u003epyplot\u003c/span\u003e \u003cspan class=\"pl-k\"\u003eas\u003c/span\u003e \u003cspan class=\"pl-s1\"\u003eplt\u003c/span\u003e\n\u003cspan class=\"pl-k\"\u003eimport\u003c/span\u003e \u003cspan class=\"pl-s1\"\u003enumpy\u003c/span\u003e \u003cspan class=\"pl-k\"\u003eas\u003c/span\u003e \u003cspan class=\"pl-s1\"\u003enp\u003c/span\u003e\n\u003cspan class=\"pl-k\"\u003efrom\u003c/span\u003e \u003cspan class=\"pl-s1\"\u003esklearn\u003c/span\u003e \u003cspan class=\"pl-k\"\u003eimport\u003c/span\u003e \u003cspan class=\"pl-s1\"\u003edatasets\u003c/span\u003e, \u003cspan class=\"pl-s1\"\u003elinear_model\u003c/span\u003e, \u003cspan class=\"pl-s1\"\u003emodel_selection\u003c/span\u003e\u003c/pre\u003e\u003c/div\u003e\n\u003cp dir=\"auto\"\u003eAbove you are importing \u003ccode\u003ematplotlib\u003c/code\u003e, \u003ccode\u003enumpy\u003c/code\u003e and you are importing \u003ccode\u003edatasets\u003c/code\u003e, \u003ccode\u003elinear_model\u003c/code\u003e and \u003ccode\u003emodel_selection\u003c/code\u003e from \u003ccode\u003esklearn\u003c/code\u003e. \u003ccode\u003emodel_selection\u003c/code\u003e is used for splitting data into training and test sets.\u003c/p\u003e\n\u003c/li\u003e\n\u003c/ol\u003e\n\u003cdiv class=\"markdown-heading\" dir=\"auto\"\u003e\u003ch3 tabindex=\"-1\" class=\"heading-element\" dir=\"auto\"\u003eThe diabetes dataset\u003c/h3\u003e\u003ca id=\"user-content-the-diabetes-dataset\" class=\"anchor\" aria-label=\"Permalink: The diabetes dataset\" href=\"#the-diabetes-dataset\"\u003e\u003csvg data-component=\"Octicon\" class=\"octicon octicon-link\" viewBox=\"0 0 16 16\" version=\"1.1\" width=\"16\" height=\"16\" aria-hidden=\"true\"\u003e\u003cpath d=\"m7.775 3.275 1.25-1.25a3.5 3.5 0 1 1 4.95 4.95l-2.5 2.5a3.5 3.5 0 0 1-4.95 0 .751.751 0 0 1 .018-1.042.751.751 0 0 1 1.042-.018 1.998 1.998 0 0 0 2.83 0l2.5-2.5a2.002 2.002 0 0 0-2.83-2.83l-1.25 1.25a.751.751 0 0 1-1.042-.018.751.751 0 0 1-.018-1.042Zm-4.69 9.64a1.998 1.998 0 0 0 2.83 0l1.25-1.25a.751.751 0 0 1 1.042.018.751.751 0 0 1 .018 1.042l-1.25 1.25a3.5 3.5 0 1 1-4.95-4.95l2.5-2.5a3.5 3.5 0 0 1 4.95 0 .751.751 0 0 1-.018 1.042.751.751 0 0 1-1.042.018 1.998 1.998 0 0 0-2.83 0l-2.5 2.5a1.998 1.998 0 0 0 0 2.83Z\"\u003e\u003c/path\u003e\u003c/svg\u003e\u003c/a\u003e\u003c/div\u003e\n\u003cp dir=\"auto\"\u003eThe built-in \u003ca href=\"https://scikit-learn.org/stable/datasets/toy_dataset.html#diabetes-dataset\" rel=\"nofollow\"\u003ediabetes dataset\u003c/a\u003e includes 442 samples of data around diabetes, with 10 feature variables, some of which include:\u003c/p\u003e\n\u003cul dir=\"auto\"\u003e\n\u003cli\u003eage: age in years\u003c/li\u003e\n\u003cli\u003ebmi: body mass index\u003c/li\u003e\n\u003cli\u003ebp: average blood pressure\u003c/li\u003e\n\u003cli\u003es1 tc: T-Cells (a type of white blood cells)\u003c/li\u003e\n\u003c/ul\u003e\n\u003cp dir=\"auto\"\u003e✅ This dataset includes the concept of 'sex' as a feature variable important to research around diabetes. Many medical datasets include this type of binary classification. Think a bit about how categorizations such as this might exclude certain parts of a population from treatments.\u003c/p\u003e\n\u003cp dir=\"auto\"\u003eNow, load up the X and y data.\u003c/p\u003e\n\u003cblockquote\u003e\n\u003cp dir=\"auto\"\u003e🎓 Remember, this is supervised learning, and we need a named 'y' target.\u003c/p\u003e\n\u003c/blockquote\u003e\n\u003cp dir=\"auto\"\u003eIn a new code cell, load the diabetes dataset by calling \u003ccode\u003eload_diabetes()\u003c/code\u003e. The input \u003ccode\u003ereturn_X_y=True\u003c/code\u003e signals that \u003ccode\u003eX\u003c/code\u003e will be a data matrix, and \u003ccode\u003ey\u003c/code\u003e will be the regression target.\u003c/p\u003e\n\u003col dir=\"auto\"\u003e\n\u003cli\u003e\n\u003cp dir=\"auto\"\u003eAdd some print commands to show the shape of the data matrix and its first element:\u003c/p\u003e\n\u003cdiv class=\"highlight highlight-source-python notranslate position-relative overflow-auto\" dir=\"auto\" data-snippet-clipboard-copy-content=\"X, y = datasets.load_diabetes(return_X_y=True)\nprint(X.shape)\nprint(X[0])\"\u003e\u003cpre\u003e\u003cspan class=\"pl-c1\"\u003eX\u003c/span\u003e, \u003cspan class=\"pl-s1\"\u003ey\u003c/span\u003e \u003cspan class=\"pl-c1\"\u003e=\u003c/span\u003e \u003cspan class=\"pl-s1\"\u003edatasets\u003c/span\u003e.\u003cspan class=\"pl-c1\"\u003eload_diabetes\u003c/span\u003e(\u003cspan class=\"pl-s1\"\u003ereturn_X_y\u003c/span\u003e\u003cspan class=\"pl-c1\"\u003e=\u003c/span\u003e\u003cspan class=\"pl-c1\"\u003eTrue\u003c/span\u003e)\n\u003cspan class=\"pl-en\"\u003eprint\u003c/span\u003e(\u003cspan class=\"pl-c1\"\u003eX\u003c/span\u003e.\u003cspan class=\"pl-c1\"\u003eshape\u003c/span\u003e)\n\u003cspan class=\"pl-en\"\u003eprint\u003c/span\u003e(\u003cspan class=\"pl-c1\"\u003eX\u003c/span\u003e[\u003cspan class=\"pl-c1\"\u003e0\u003c/span\u003e])\u003c/pre\u003e\u003c/div\u003e\n\u003cp dir=\"auto\"\u003eWhat you are getting back as a response, is a tuple. What you are doing is to assign the two first values of the tuple to \u003ccode\u003eX\u003c/code\u003e and \u003ccode\u003ey\u003c/code\u003e respectively. Learn more \u003ca href=\"https://wikipedia.org/wiki/Tuple\" rel=\"nofollow\"\u003eabout tuples\u003c/a\u003e.\u003c/p\u003e\n\u003cp dir=\"auto\"\u003eYou can see that this data has 442 items shaped in arrays of 10 elements:\u003c/p\u003e\n\u003cdiv class=\"snippet-clipboard-content notranslate position-relative overflow-auto\" data-snippet-clipboard-copy-content=\"(442, 10)\n[ 0.03807591  0.05068012  0.06169621  0.02187235 -0.0442235  -0.03482076\n-0.04340085 -0.00259226  0.01990842 -0.01764613]\"\u003e\u003cpre lang=\"text\" class=\"notranslate\"\u003e\u003ccode\u003e(442, 10)\n[ 0.03807591  0.05068012  0.06169621  0.02187235 -0.0442235  -0.03482076\n-0.04340085 -0.00259226  0.01990842 -0.01764613]\n\u003c/code\u003e\u003c/pre\u003e\u003c/div\u003e\n\u003cp dir=\"auto\"\u003e✅ Think a bit about the relationship between the data and the regression target. Linear regression predicts relationships between feature X and target variable y. Can you find the \u003ca href=\"https://scikit-learn.org/stable/datasets/toy_dataset.html#diabetes-dataset\" rel=\"nofollow\"\u003etarget\u003c/a\u003e for the diabetes dataset in the documentation? What is this dataset demonstrating, given that target?\u003c/p\u003e\n\u003c/li\u003e\n\u003cli\u003e\n\u003cp dir=\"auto\"\u003eNext, select a portion of this dataset to plot by selecting the 3rd column of the dataset. You can do this by using the \u003ccode\u003e:\u003c/code\u003e operator to select all rows, and then selecting the 3rd column using the index (2). You can also reshape the data to be a 2D array - as required for plotting - by using \u003ccode\u003ereshape(n_rows, n_columns)\u003c/code\u003e. If one of the parameter is -1, the corresponding dimension is calculated automatically.\u003c/p\u003e\n\u003cdiv class=\"highlight highlight-source-python notranslate position-relative overflow-auto\" dir=\"auto\" data-snippet-clipboard-copy-content=\"X = X[:, 2]\nX = X.reshape((-1,1))\"\u003e\u003cpre\u003e\u003cspan class=\"pl-c1\"\u003eX\u003c/span\u003e \u003cspan class=\"pl-c1\"\u003e=\u003c/span\u003e \u003cspan class=\"pl-c1\"\u003eX\u003c/span\u003e[:, \u003cspan class=\"pl-c1\"\u003e2\u003c/span\u003e]\n\u003cspan class=\"pl-c1\"\u003eX\u003c/span\u003e \u003cspan class=\"pl-c1\"\u003e=\u003c/span\u003e \u003cspan class=\"pl-c1\"\u003eX\u003c/span\u003e.\u003cspan class=\"pl-c1\"\u003ereshape\u003c/span\u003e((\u003cspan class=\"pl-c1\"\u003e-\u003c/span\u003e\u003cspan class=\"pl-c1\"\u003e1\u003c/span\u003e,\u003cspan class=\"pl-c1\"\u003e1\u003c/span\u003e))\u003c/pre\u003e\u003c/div\u003e\n\u003cp dir=\"auto\"\u003e✅ At any time, print out the data to check its shape.\u003c/p\u003e\n\u003c/li\u003e\n\u003cli\u003e\n\u003cp dir=\"auto\"\u003eNow that you have data ready to be plotted, you can see if a machine can help determine a logical split between the numbers in this dataset. To do this, you need to split both the data (X) and the target (y) into test and training sets. Scikit-learn has a straightforward way to do this; you can split your test data at a given point.\u003c/p\u003e\n\u003cdiv class=\"highlight highlight-source-python notranslate position-relative overflow-auto\" dir=\"auto\" data-snippet-clipboard-copy-content=\"X_train, X_test, y_train, y_test = model_selection.train_test_split(X, y, test_size=0.33)\"\u003e\u003cpre\u003e\u003cspan class=\"pl-v\"\u003eX_train\u003c/span\u003e, \u003cspan class=\"pl-v\"\u003eX_test\u003c/span\u003e, \u003cspan class=\"pl-s1\"\u003ey_train\u003c/span\u003e, \u003cspan class=\"pl-s1\"\u003ey_test\u003c/span\u003e \u003cspan class=\"pl-c1\"\u003e=\u003c/span\u003e \u003cspan class=\"pl-s1\"\u003emodel_selection\u003c/span\u003e.\u003cspan class=\"pl-c1\"\u003etrain_test_split\u003c/span\u003e(\u003cspan class=\"pl-c1\"\u003eX\u003c/span\u003e, \u003cspan class=\"pl-s1\"\u003ey\u003c/span\u003e, \u003cspan class=\"pl-s1\"\u003etest_size\u003c/span\u003e\u003cspan class=\"pl-c1\"\u003e=\u003c/span\u003e\u003cspan class=\"pl-c1\"\u003e0.33\u003c/span\u003e)\u003c/pre\u003e\u003c/div\u003e\n\u003c/li\u003e\n\u003cli\u003e\n\u003cp dir=\"auto\"\u003eNow you are ready to train your model! Load up the linear regression model and train it with your X and y training sets using \u003ccode\u003emodel.fit()\u003c/code\u003e:\u003c/p\u003e\n\u003cdiv class=\"highlight highlight-source-python notranslate position-relative overflow-auto\" dir=\"auto\" data-snippet-clipboard-copy-content=\"model = linear_model.LinearRegression()\nmodel.fit(X_train, y_train)\"\u003e\u003cpre\u003e\u003cspan class=\"pl-s1\"\u003emodel\u003c/span\u003e \u003cspan class=\"pl-c1\"\u003e=\u003c/span\u003e \u003cspan class=\"pl-s1\"\u003elinear_model\u003c/span\u003e.\u003cspan class=\"pl-c1\"\u003eLinearRegression\u003c/span\u003e()\n\u003cspan class=\"pl-s1\"\u003emodel\u003c/span\u003e.\u003cspan class=\"pl-c1\"\u003efit\u003c/span\u003e(\u003cspan class=\"pl-v\"\u003eX_train\u003c/span\u003e, \u003cspan class=\"pl-s1\"\u003ey_train\u003c/span\u003e)\u003c/pre\u003e\u003c/div\u003e\n\u003cp dir=\"auto\"\u003e✅ \u003ccode\u003emodel.fit()\u003c/code\u003e is a function you'll see in many ML libraries such as TensorFlow\u003c/p\u003e\n\u003c/li\u003e\n\u003cli\u003e\n\u003cp dir=\"auto\"\u003eThen, create a prediction using test data, using the function \u003ccode\u003epredict()\u003c/code\u003e. This will be used to draw the line between data groups\u003c/p\u003e\n\u003cdiv class=\"highlight highlight-source-python notranslate position-relative overflow-auto\" dir=\"auto\" data-snippet-clipboard-copy-content=\"y_pred = model.predict(X_test)\"\u003e\u003cpre\u003e\u003cspan class=\"pl-s1\"\u003ey_pred\u003c/span\u003e \u003cspan class=\"pl-c1\"\u003e=\u003c/span\u003e \u003cspan class=\"pl-s1\"\u003emodel\u003c/span\u003e.\u003cspan class=\"pl-c1\"\u003epredict\u003c/span\u003e(\u003cspan class=\"pl-v\"\u003eX_test\u003c/span\u003e)\u003c/pre\u003e\u003c/div\u003e\n\u003c/li\u003e\n\u003cli\u003e\n\u003cp dir=\"auto\"\u003eNow it's time to show the data in a plot. Matplotlib is a very useful tool for this task. Create a scatterplot of all the X and y test data, and use the prediction to draw a line in the most appropriate place, between the model's data groupings.\u003c/p\u003e\n\u003cdiv class=\"highlight highlight-source-python notranslate position-relative overflow-auto\" dir=\"auto\" data-snippet-clipboard-copy-content=\"plt.scatter(X_test, y_test,  color='black')\nplt.plot(X_test, y_pred, color='blue', linewidth=3)\nplt.xlabel('Scaled BMIs')\nplt.ylabel('Disease Progression')\nplt.title('A Graph Plot Showing Diabetes Progression Against BMI')\nplt.show()\"\u003e\u003cpre\u003e\u003cspan class=\"pl-s1\"\u003eplt\u003c/span\u003e.\u003cspan class=\"pl-c1\"\u003escatter\u003c/span\u003e(\u003cspan class=\"pl-v\"\u003eX_test\u003c/span\u003e, \u003cspan class=\"pl-s1\"\u003ey_test\u003c/span\u003e,  \u003cspan class=\"pl-s1\"\u003ecolor\u003c/span\u003e\u003cspan class=\"pl-c1\"\u003e=\u003c/span\u003e\u003cspan class=\"pl-s\"\u003e'black'\u003c/span\u003e)\n\u003cspan class=\"pl-s1\"\u003eplt\u003c/span\u003e.\u003cspan class=\"pl-c1\"\u003eplot\u003c/span\u003e(\u003cspan class=\"pl-v\"\u003eX_test\u003c/span\u003e, \u003cspan class=\"pl-s1\"\u003ey_pred\u003c/span\u003e, \u003cspan class=\"pl-s1\"\u003ecolor\u003c/span\u003e\u003cspan class=\"pl-c1\"\u003e=\u003c/span\u003e\u003cspan class=\"pl-s\"\u003e'blue'\u003c/span\u003e, \u003cspan class=\"pl-s1\"\u003elinewidth\u003c/span\u003e\u003cspan class=\"pl-c1\"\u003e=\u003c/span\u003e\u003cspan class=\"pl-c1\"\u003e3\u003c/span\u003e)\n\u003cspan class=\"pl-s1\"\u003eplt\u003c/span\u003e.\u003cspan class=\"pl-c1\"\u003exlabel\u003c/span\u003e(\u003cspan class=\"pl-s\"\u003e'Scaled BMIs'\u003c/span\u003e)\n\u003cspan class=\"pl-s1\"\u003eplt\u003c/span\u003e.\u003cspan class=\"pl-c1\"\u003eylabel\u003c/span\u003e(\u003cspan class=\"pl-s\"\u003e'Disease Progression'\u003c/span\u003e)\n\u003cspan class=\"pl-s1\"\u003eplt\u003c/span\u003e.\u003cspan class=\"pl-c1\"\u003etitle\u003c/span\u003e(\u003cspan class=\"pl-s\"\u003e'A Graph Plot Showing Diabetes Progression Against BMI'\u003c/span\u003e)\n\u003cspan class=\"pl-s1\"\u003eplt\u003c/span\u003e.\u003cspan class=\"pl-c1\"\u003eshow\u003c/span\u003e()\u003c/pre\u003e\u003c/div\u003e\n\u003cp dir=\"auto\"\u003e\u003ca target=\"_blank\" rel=\"noopener noreferrer\" href=\"/laserwang/ML-For-Beginners/blob/main/2-Regression/1-Tools/images/scatterplot.png\"\u003e\u003cimg src=\"/laserwang/ML-For-Beginners/raw/main/2-Regression/1-Tools/images/scatterplot.png\" alt=\"a scatterplot showing datapoints around diabetes\" style=\"max-width: 100%;\"\u003e\u003c/a\u003e\u003c/p\u003e\n\u003cp dir=\"auto\"\u003e✅ Think a bit about what's going on here. A straight line is running through many small dots of data, but what is it doing exactly? Can you see how you should be able to use this line to predict where a new, unseen data point should fit in relationship to the plot's y axis? Try to put into words the practical use of this model.\u003c/p\u003e\n\u003c/li\u003e\n\u003c/ol\u003e\n\u003cp dir=\"auto\"\u003eCongratulations, you built your first linear regression model, created a prediction with it, and displayed it in a plot!\u003c/p\u003e\n\u003chr\u003e\n\u003cdiv class=\"markdown-heading\" dir=\"auto\"\u003e\u003ch2 tabindex=\"-1\" class=\"heading-element\" dir=\"auto\"\u003e🚀Challenge\u003c/h2\u003e\u003ca id=\"user-content-challenge\" class=\"anchor\" aria-label=\"Permalink: 🚀Challenge\" href=\"#challenge\"\u003e\u003csvg data-component=\"Octicon\" class=\"octicon octicon-link\" viewBox=\"0 0 16 16\" version=\"1.1\" width=\"16\" height=\"16\" aria-hidden=\"true\"\u003e\u003cpath d=\"m7.775 3.275 1.25-1.25a3.5 3.5 0 1 1 4.95 4.95l-2.5 2.5a3.5 3.5 0 0 1-4.95 0 .751.751 0 0 1 .018-1.042.751.751 0 0 1 1.042-.018 1.998 1.998 0 0 0 2.83 0l2.5-2.5a2.002 2.002 0 0 0-2.83-2.83l-1.25 1.25a.751.751 0 0 1-1.042-.018.751.751 0 0 1-.018-1.042Zm-4.69 9.64a1.998 1.998 0 0 0 2.83 0l1.25-1.25a.751.751 0 0 1 1.042.018.751.751 0 0 1 .018 1.042l-1.25 1.25a3.5 3.5 0 1 1-4.95-4.95l2.5-2.5a3.5 3.5 0 0 1 4.95 0 .751.751 0 0 1-.018 1.042.751.751 0 0 1-1.042.018 1.998 1.998 0 0 0-2.83 0l-2.5 2.5a1.998 1.998 0 0 0 0 2.83Z\"\u003e\u003c/path\u003e\u003c/svg\u003e\u003c/a\u003e\u003c/div\u003e\n\u003cp dir=\"auto\"\u003ePlot a different variable from this dataset. Hint: edit this line: \u003ccode\u003eX = X[:,2]\u003c/code\u003e. Given this dataset's target, what are you able to discover about the progression of diabetes as a disease?\u003c/p\u003e\n\u003cdiv class=\"markdown-heading\" dir=\"auto\"\u003e\u003ch2 tabindex=\"-1\" class=\"heading-element\" dir=\"auto\"\u003e\u003ca href=\"https://ff-quizzes.netlify.app/en/ml/\" rel=\"nofollow\"\u003ePost-lecture quiz\u003c/a\u003e\u003c/h2\u003e\u003ca id=\"user-content-post-lecture-quiz\" class=\"anchor\" aria-label=\"Permalink: Post-lecture quiz\" href=\"#post-lecture-quiz\"\u003e\u003csvg data-component=\"Octicon\" class=\"octicon octicon-link\" viewBox=\"0 0 16 16\" version=\"1.1\" width=\"16\" height=\"16\" aria-hidden=\"true\"\u003e\u003cpath d=\"m7.775 3.275 1.25-1.25a3.5 3.5 0 1 1 4.95 4.95l-2.5 2.5a3.5 3.5 0 0 1-4.95 0 .751.751 0 0 1 .018-1.042.751.751 0 0 1 1.042-.018 1.998 1.998 0 0 0 2.83 0l2.5-2.5a2.002 2.002 0 0 0-2.83-2.83l-1.25 1.25a.751.751 0 0 1-1.042-.018.751.751 0 0 1-.018-1.042Zm-4.69 9.64a1.998 1.998 0 0 0 2.83 0l1.25-1.25a.751.751 0 0 1 1.042.018.751.751 0 0 1 .018 1.042l-1.25 1.25a3.5 3.5 0 1 1-4.95-4.95l2.5-2.5a3.5 3.5 0 0 1 4.95 0 .751.751 0 0 1-.018 1.042.751.751 0 0 1-1.042.018 1.998 1.998 0 0 0-2.83 0l-2.5 2.5a1.998 1.998 0 0 0 0 2.83Z\"\u003e\u003c/path\u003e\u003c/svg\u003e\u003c/a\u003e\u003c/div\u003e\n\u003cdiv class=\"markdown-heading\" dir=\"auto\"\u003e\u003ch2 tabindex=\"-1\" class=\"heading-element\" dir=\"auto\"\u003eReview \u0026amp; Self Study\u003c/h2\u003e\u003ca id=\"user-content-review--self-study\" class=\"anchor\" aria-label=\"Permalink: Review \u0026amp; Self Study\" href=\"#review--self-study\"\u003e\u003csvg data-component=\"Octicon\" class=\"octicon octicon-link\" viewBox=\"0 0 16 16\" version=\"1.1\" width=\"16\" height=\"16\" aria-hidden=\"true\"\u003e\u003cpath d=\"m7.775 3.275 1.25-1.25a3.5 3.5 0 1 1 4.95 4.95l-2.5 2.5a3.5 3.5 0 0 1-4.95 0 .751.751 0 0 1 .018-1.042.751.751 0 0 1 1.042-.018 1.998 1.998 0 0 0 2.83 0l2.5-2.5a2.002 2.002 0 0 0-2.83-2.83l-1.25 1.25a.751.751 0 0 1-1.042-.018.751.751 0 0 1-.018-1.042Zm-4.69 9.64a1.998 1.998 0 0 0 2.83 0l1.25-1.25a.751.751 0 0 1 1.042.018.751.751 0 0 1 .018 1.042l-1.25 1.25a3.5 3.5 0 1 1-4.95-4.95l2.5-2.5a3.5 3.5 0 0 1 4.95 0 .751.751 0 0 1-.018 1.042.751.751 0 0 1-1.042.018 1.998 1.998 0 0 0-2.83 0l-2.5 2.5a1.998 1.998 0 0 0 0 2.83Z\"\u003e\u003c/path\u003e\u003c/svg\u003e\u003c/a\u003e\u003c/div\u003e\n\u003cp dir=\"auto\"\u003eIn this tutorial, you worked with simple linear regression, rather than univariate or multiple linear regression. Read a little about the differences between these methods, or take a look at \u003ca href=\"https://www.coursera.org/lecture/quantifying-relationships-regression-models/linear-vs-nonlinear-categorical-variables-ai2Ef\" rel=\"nofollow\"\u003ethis video\u003c/a\u003e\u003c/p\u003e\n\u003cp dir=\"auto\"\u003eRead more about the concept of regression and think about what kinds of questions can be answered by this technique. Take this \u003ca href=\"https://docs.microsoft.com/learn/modules/train-evaluate-regression-models?WT.mc_id=academic-77952-leestott\" rel=\"nofollow\"\u003etutorial\u003c/a\u003e to deepen your understanding.\u003c/p\u003e\n\u003cdiv class=\"markdown-heading\" dir=\"auto\"\u003e\u003ch2 tabindex=\"-1\" class=\"heading-element\" dir=\"auto\"\u003eAssignment\u003c/h2\u003e\u003ca id=\"user-content-assignment\" class=\"anchor\" aria-label=\"Permalink: Assignment\" href=\"#assignment\"\u003e\u003csvg data-component=\"Octicon\" class=\"octicon octicon-link\" viewBox=\"0 0 16 16\" version=\"1.1\" width=\"16\" height=\"16\" aria-hidden=\"true\"\u003e\u003cpath d=\"m7.775 3.275 1.25-1.25a3.5 3.5 0 1 1 4.95 4.95l-2.5 2.5a3.5 3.5 0 0 1-4.95 0 .751.751 0 0 1 .018-1.042.751.751 0 0 1 1.042-.018 1.998 1.998 0 0 0 2.83 0l2.5-2.5a2.002 2.002 0 0 0-2.83-2.83l-1.25 1.25a.751.751 0 0 1-1.042-.018.751.751 0 0 1-.018-1.042Zm-4.69 9.64a1.998 1.998 0 0 0 2.83 0l1.25-1.25a.751.751 0 0 1 1.042.018.751.751 0 0 1 .018 1.042l-1.25 1.25a3.5 3.5 0 1 1-4.95-4.95l2.5-2.5a3.5 3.5 0 0 1 4.95 0 .751.751 0 0 1-.018 1.042.751.751 0 0 1-1.042.018 1.998 1.998 0 0 0-2.83 0l-2.5 2.5a1.998 1.998 0 0 0 0 2.83Z\"\u003e\u003c/path\u003e\u003c/svg\u003e\u003c/a\u003e\u003c/div\u003e\n\u003cp dir=\"auto\"\u003e\u003ca href=\"/laserwang/ML-For-Beginners/blob/main/2-Regression/1-Tools/assignment.md\"\u003eA different dataset\u003c/a\u003e\u003c/p\u003e\n\u003c/article\u003e","richTextTruncated":false,"renderedFileInfo":null,"symbols":{"timed_out":false,"not_analyzed":false,"symbols":[{"name":"Get started with Python and Scikit-learn for regression models","fully_qualified_name":"Get started with Python and Scikit-learn for regression models","kind":"section_1","ident_start":2,"ident_end":64,"extent_start":0,"extent_end":14393,"ident_utf16":{"start":{"line_number":0,"utf16_col":2},"end":{"line_number":0,"utf16_col":64}},"extent_utf16":{"start":{"line_number":0,"utf16_col":0},"end":{"line_number":226,"utf16_col":0}}},{"name":"[Pre-lecture quiz](https://ff-quizzes.netlify.app/en/ml/)","fully_qualified_name":"[Pre-lecture quiz](https://ff-quizzes.netlify.app/en/ml/)","kind":"section_2","ident_start":217,"ident_end":274,"extent_start":214,"extent_end":344,"ident_utf16":{"start":{"line_number":6,"utf16_col":3},"end":{"line_number":6,"utf16_col":60}},"extent_utf16":{"start":{"line_number":6,"utf16_col":0},"end":{"line_number":10,"utf16_col":0}}},{"name":"[This lesson is available in R!](./solution/R/lesson_1.html)","fully_qualified_name":"[This lesson is available in R!](./solution/R/lesson_1.html)","kind":"section_3","ident_start":282,"ident_end":342,"extent_start":278,"extent_end":343,"ident_utf16":{"start":{"line_number":8,"utf16_col":6},"end":{"line_number":8,"utf16_col":66}},"extent_utf16":{"start":{"line_number":8,"utf16_col":2},"end":{"line_number":9,"utf16_col":0}}},{"name":"Introduction","fully_qualified_name":"Introduction","kind":"section_2","ident_start":347,"ident_end":359,"extent_start":344,"extent_end":803,"ident_utf16":{"start":{"line_number":10,"utf16_col":3},"end":{"line_number":10,"utf16_col":15}},"extent_utf16":{"start":{"line_number":10,"utf16_col":0},"end":{"line_number":21,"utf16_col":0}}},{"name":"Installations and configurations","fully_qualified_name":"Installations and configurations","kind":"section_2","ident_start":806,"ident_end":838,"extent_start":803,"extent_end":3188,"ident_utf16":{"start":{"line_number":21,"utf16_col":3},"end":{"line_number":21,"utf16_col":35}},"extent_utf16":{"start":{"line_number":21,"utf16_col":0},"end":{"line_number":43,"utf16_col":0}}},{"name":"Your ML authoring environment","fully_qualified_name":"Your ML authoring environment","kind":"section_2","ident_start":3191,"ident_end":3220,"extent_start":3188,"extent_end":4878,"ident_utf16":{"start":{"line_number":43,"utf16_col":3},"end":{"line_number":43,"utf16_col":32}},"extent_utf16":{"start":{"line_number":43,"utf16_col":0},"end":{"line_number":80,"utf16_col":0}}},{"name":"Exercise - work with a notebook","fully_qualified_name":"Exercise - work with a notebook","kind":"section_3","ident_start":3976,"ident_end":4007,"extent_start":3972,"extent_end":4878,"ident_utf16":{"start":{"line_number":53,"utf16_col":4},"end":{"line_number":53,"utf16_col":35}},"extent_utf16":{"start":{"line_number":53,"utf16_col":0},"end":{"line_number":80,"utf16_col":0}}},{"name":"Up and running with Scikit-learn","fully_qualified_name":"Up and running with Scikit-learn","kind":"section_2","ident_start":4881,"ident_end":4913,"extent_start":4878,"extent_end":6246,"ident_utf16":{"start":{"line_number":80,"utf16_col":3},"end":{"line_number":80,"utf16_col":35}},"extent_utf16":{"start":{"line_number":80,"utf16_col":0},"end":{"line_number":90,"utf16_col":0}}},{"name":"Exercise - your first Scikit-learn notebook","fully_qualified_name":"Exercise - your first Scikit-learn notebook","kind":"section_2","ident_start":6249,"ident_end":6292,"extent_start":6246,"extent_end":13440,"ident_utf16":{"start":{"line_number":90,"utf16_col":3},"end":{"line_number":90,"utf16_col":46}},"extent_utf16":{"start":{"line_number":90,"utf16_col":0},"end":{"line_number":212,"utf16_col":0}}},{"name":"Import libraries","fully_qualified_name":"Import libraries","kind":"section_3","ident_start":8034,"ident_end":8050,"extent_start":8030,"extent_end":8890,"ident_utf16":{"start":{"line_number":107,"utf16_col":4},"end":{"line_number":107,"utf16_col":20}},"extent_utf16":{"start":{"line_number":107,"utf16_col":0},"end":{"line_number":127,"utf16_col":0}}},{"name":"The diabetes dataset","fully_qualified_name":"The diabetes dataset","kind":"section_3","ident_start":8894,"ident_end":8914,"extent_start":8890,"extent_end":13440,"ident_utf16":{"start":{"line_number":127,"utf16_col":4},"end":{"line_number":127,"utf16_col":24}},"extent_utf16":{"start":{"line_number":127,"utf16_col":0},"end":{"line_number":212,"utf16_col":0}}},{"name":"🚀Challenge","fully_qualified_name":"🚀Challenge","kind":"section_2","ident_start":13443,"ident_end":13456,"extent_start":13440,"extent_end":13646,"ident_utf16":{"start":{"line_number":212,"utf16_col":3},"end":{"line_number":212,"utf16_col":14}},"extent_utf16":{"start":{"line_number":212,"utf16_col":0},"end":{"line_number":215,"utf16_col":0}}},{"name":"[Post-lecture quiz](https://ff-quizzes.netlify.app/en/ml/)","fully_qualified_name":"[Post-lecture quiz](https://ff-quizzes.netlify.app/en/ml/)","kind":"section_2","ident_start":13649,"ident_end":13707,"extent_start":13646,"extent_end":13709,"ident_utf16":{"start":{"line_number":215,"utf16_col":3},"end":{"line_number":215,"utf16_col":61}},"extent_utf16":{"start":{"line_number":215,"utf16_col":0},"end":{"line_number":217,"utf16_col":0}}},{"name":"Review \u0026 Self Study","fully_qualified_name":"Review \u0026 Self Study","kind":"section_2","ident_start":13712,"ident_end":13731,"extent_start":13709,"extent_end":14341,"ident_utf16":{"start":{"line_number":217,"utf16_col":3},"end":{"line_number":217,"utf16_col":22}},"extent_utf16":{"start":{"line_number":217,"utf16_col":0},"end":{"line_number":223,"utf16_col":0}}},{"name":"Assignment","fully_qualified_name":"Assignment","kind":"section_2","ident_start":14344,"ident_end":14354,"extent_start":14341,"extent_end":14393,"ident_utf16":{"start":{"line_number":223,"utf16_col":3},"end":{"line_number":223,"utf16_col":13}},"extent_utf16":{"start":{"line_number":223,"utf16_col":0},"end":{"line_number":226,"utf16_col":0}}}]}},"codeViewLayoutRoute":{"repo":{"id":1120647655,"defaultBranch":"main","name":"ML-For-Beginners","ownerLogin":"laserwang","currentUserCanPush":false,"isFork":true,"isEmpty":false,"createdAt":"2025-12-21T16:51:11.000Z","ownerAvatar":"https://avatars.githubusercontent.com/u/40209744?v=4","public":true,"private":false,"isOrgOwned":false,"isArchived":false},"currentUser":null,"uploadToken":"p5ih_KQL0SC8QLs5OCEwa-qlfK5XREU1aou_gbFm7CkhAADG7EqR7aD6p7t3zOTHGa1AXO1DMdtTm_sYgGkLrA","allShortcutsEnabled":false,"treeExpanded":true,"path":"2-Regression/1-Tools/README.md","symbolsExpanded":false,"refInfo":{"name":"main","listCacheKey":"v0:1766340423.43758","canEdit":false,"currentOid":"545afb1ac7f6024dd9b6db2dce302faf4eca70fa"},"helpUrl":"https://docs.github.com","githubDevUrl":null},"codeViewFileTreeLayoutRoute":{"fileTree":{"2-Regression/1-Tools":{"items":[{"name":"images","path":"2-Regression/1-Tools/images","contentType":"directory"},{"name":"solution","path":"2-Regression/1-Tools/solution","contentType":"directory"},{"name":"README.md","path":"2-Regression/1-Tools/README.md","contentType":"file"},{"name":"assignment.md","path":"2-Regression/1-Tools/assignment.md","contentType":"file"},{"name":"notebook.ipynb","path":"2-Regression/1-Tools/notebook.ipynb","contentType":"file"}],"totalCount":5},"2-Regression":{"items":[{"name":"1-Tools","path":"2-Regression/1-Tools","contentType":"directory"},{"name":"2-Data","path":"2-Regression/2-Data","contentType":"directory"},{"name":"3-Linear","path":"2-Regression/3-Linear","contentType":"directory"},{"name":"4-Logistic","path":"2-Regression/4-Logistic","contentType":"directory"},{"name":"data","path":"2-Regression/data","contentType":"directory"},{"name":"images","path":"2-Regression/images","contentType":"directory"},{"name":"README.md","path":"2-Regression/README.md","contentType":"file"}],"totalCount":7},"":{"items":[{"name":".devcontainer","path":".devcontainer","contentType":"directory"},{"name":".github","path":".github","contentType":"directory"},{"name":"1-Introduction","path":"1-Introduction","contentType":"directory"},{"name":"2-Regression","path":"2-Regression","contentType":"directory"},{"name":"3-Web-App","path":"3-Web-App","contentType":"directory"},{"name":"4-Classification","path":"4-Classification","contentType":"directory"},{"name":"5-Clustering","path":"5-Clustering","contentType":"directory"},{"name":"6-NLP","path":"6-NLP","contentType":"directory"},{"name":"7-TimeSeries","path":"7-TimeSeries","contentType":"directory"},{"name":"8-Reinforcement","path":"8-Reinforcement","contentType":"directory"},{"name":"9-Real-World","path":"9-Real-World","contentType":"directory"},{"name":"docs","path":"docs","contentType":"directory"},{"name":"images","path":"images","contentType":"directory"},{"name":"pdf","path":"pdf","contentType":"directory"},{"name":"quiz-app","path":"quiz-app","contentType":"directory"},{"name":"sketchnotes","path":"sketchnotes","contentType":"directory"},{"name":"translated_images","path":"translated_images","contentType":"directory"},{"name":"translations","path":"translations","contentType":"directory"},{"name":".gitignore","path":".gitignore","contentType":"file"},{"name":".nojekyll","path":".nojekyll","contentType":"file"},{"name":"AGENTS.md","path":"AGENTS.md","contentType":"file"},{"name":"CODE_OF_CONDUCT.md","path":"CODE_OF_CONDUCT.md","contentType":"file"},{"name":"CONTRIBUTING.md","path":"CONTRIBUTING.md","contentType":"file"},{"name":"LICENSE","path":"LICENSE","contentType":"file"},{"name":"PyTorch_Fundamentals.ipynb","path":"PyTorch_Fundamentals.ipynb","contentType":"file"},{"name":"README.md","path":"README.md","contentType":"file"},{"name":"SECURITY.md","path":"SECURITY.md","contentType":"file"},{"name":"SUPPORT.md","path":"SUPPORT.md","contentType":"file"},{"name":"TROUBLESHOOTING.md","path":"TROUBLESHOOTING.md","contentType":"file"},{"name":"docsifytopdf.js","path":"docsifytopdf.js","contentType":"file"},{"name":"for-teachers.md","path":"for-teachers.md","contentType":"file"},{"name":"index.html","path":"index.html","contentType":"file"},{"name":"package-lock.json","path":"package-lock.json","contentType":"file"},{"name":"package.json","path":"package.json","contentType":"file"}],"totalCount":34}},"fileTreeProcessingTime":47.101076,"foldersToFetch":[]},"codeViewBlobLayoutRoute":{"codeLineWrapEnabled":false,"refInfo":{"name":"main","listCacheKey":"v0:1766340423.43758","canEdit":false,"refType":"branch","currentOid":"545afb1ac7f6024dd9b6db2dce302faf4eca70fa","canEditOnDefaultBranch":false,"fileExistsOnDefault":true},"path":"2-Regression/1-Tools/README.md","blob":{"copilotSWEAgentEnabled":false,"dependabotInfo":{"showConfigurationBanner":false,"configFilePath":null,"networkDependabotPath":"/laserwang/ML-For-Beginners/network/updates","dismissConfigurationNoticePath":"/settings/dismiss-notice/dependabot_configuration_notice","configurationNoticeDismissed":null},"displayName":"README.md","displayUrl":"https://github.com/laserwang/ML-For-Beginners/blob/main/2-Regression/1-Tools/README.md?raw=true","headerInfo":{"blobSize":"14.1 KB","deleteTooltip":"You must be signed in to make or propose changes","editTooltip":"You must be signed in to make or propose changes","ghDesktopPath":"https://desktop.github.com","isGitLfs":false,"onBranch":true,"shortPath":"7fbf137","siteNavLoginPath":"/login?return_to=https%3A%2F%2Fgithub.com%2Flaserwang%2FML-For-Beginners%2Fblob%2Fmain%2F2-Regression%2F1-Tools%2FREADME.md","isCSV":false,"isRichtext":true,"lineInfo":{"truncatedLoc":"226","truncatedSloc":"136"},"mode":"file"},"image":false,"isCodeownersFile":null,"isPlain":false,"isValidLegacyIssueTemplate":false,"isIssueTemplate":false,"isDiscussionTemplate":false,"language":"Markdown","languageID":222,"large":false,"planSupportInfo":{"repoIsFork":null,"repoOwnedByCurrentUser":null,"requestFullPath":"/laserwang/ML-For-Beginners/blob/main/2-Regression/1-Tools/README.md","showFreeOrgGatedFeatureMessage":null,"showPlanSupportBanner":null,"upgradeDataAttributes":null,"upgradePath":null},"publishBannersInfo":{"dismissActionNoticePath":"/settings/dismiss-notice/publish_action_from_dockerfile","releasePath":"/laserwang/ML-For-Beginners/releases/new?marketplace=true","showPublishActionBanner":false},"rawBlobUrl":"https://github.com/laserwang/ML-For-Beginners/raw/refs/heads/main/2-Regression/1-Tools/README.md","renderImageOrRaw":false,"shortPath":null,"symbolsEnabled":true,"tabSize":4,"topBannersInfo":{"overridingGlobalFundingFile":false,"globalPreferredFundingPath":null,"showInvalidCitationWarning":false,"citationHelpUrl":"https://docs.github.com/github/creating-cloning-and-archiving-repositories/creating-a-repository-on-github/about-citation-files","actionsOnboardingTip":null},"truncated":false,"viewable":true,"workflowRedirectUrl":null},"copilotInfo":null,"copilotAccessAllowed":false,"copilotSpacesEnabled":false,"modelsAccessAllowed":false,"modelsRepoIntegrationEnabled":false,"isMarketplaceEnabled":true},"codeViewBlobLayoutRoute.StyledBlob":{"rawLines":["# Get started with Python and Scikit-learn for regression models","","![Summary of regressions in a sketchnote](../../sketchnotes/ml-regression.png)","","\u003e Sketchnote by [Tomomi Imura](https://www.twitter.com/girlie_mac)","","## [Pre-lecture quiz](https://ff-quizzes.netlify.app/en/ml/)","","\u003e ### [This lesson is available in R!](./solution/R/lesson_1.html)","","## Introduction","","In these four lessons, you will discover how to build regression models. We will discuss what these are for shortly. But before you do anything, make sure you have the right tools in place to start the process!","","In this lesson, you will learn how to:","","- Configure your computer for local machine learning tasks.","- Work with Jupyter notebooks.","- Use Scikit-learn, including installation.","- Explore linear regression with a hands-on exercise.","","## Installations and configurations","","[![ML for beginners - Setup your tools ready to build Machine Learning models](https://img.youtube.com/vi/-DfeD2k2Kj0/0.jpg)](https://youtu.be/-DfeD2k2Kj0 \"ML for beginners -Setup your tools ready to build Machine Learning models\")","","\u003e 🎥 Click the image above for a short video working through configuring your computer for ML.","","1. **Install Python**. Ensure that [Python](https://www.python.org/downloads/) is installed on your computer. You will use Python for many data science and machine learning tasks. Most computer systems already include a Python installation. There are useful [Python Coding Packs](https://code.visualstudio.com/learn/educators/installers?WT.mc_id=academic-77952-leestott) available as well, to ease the setup for some users.","","   Some usages of Python, however, require one version of the software, whereas others require a different version. For this reason, it's useful to work within a [virtual environment](https://docs.python.org/3/library/venv.html).","","2. **Install Visual Studio Code**. Make sure you have Visual Studio Code installed on your computer. Follow these instructions to [install Visual Studio Code](https://code.visualstudio.com/) for the basic installation. You are going to use Python in Visual Studio Code in this course, so you might want to brush up on how to [configure Visual Studio Code](https://docs.microsoft.com/learn/modules/python-install-vscode?WT.mc_id=academic-77952-leestott) for Python development.","","   \u003e Get comfortable with Python by working through this collection of [Learn modules](https://docs.microsoft.com/users/jenlooper-2911/collections/mp1pagggd5qrq7?WT.mc_id=academic-77952-leestott)","   \u003e","   \u003e [![Setup Python with Visual Studio Code](https://img.youtube.com/vi/yyQM70vi7V8/0.jpg)](https://youtu.be/yyQM70vi7V8 \"Setup Python with Visual Studio Code\")","   \u003e","   \u003e 🎥 Click the image above for a video: using Python within VS Code.","","3. **Install Scikit-learn**, by following [these instructions](https://scikit-learn.org/stable/install.html). Since you need to ensure that you use Python 3, it's recommended that you use a virtual environment. Note, if you are installing this library on a M1 Mac, there are special instructions on the page linked above.","","1. **Install Jupyter Notebook**. You will need to [install the Jupyter package](https://pypi.org/project/jupyter/).","","## Your ML authoring environment","","You are going to use **notebooks** to develop your Python code and create machine learning models. This type of file is a common tool for data scientists, and they can be identified by their suffix or extension `.ipynb`.","","Notebooks are an interactive environment that allow the developer to both code and add notes and write documentation around the code which is quite helpful for experimental or research-oriented projects.","","[![ML for beginners - Set up Jupyter Notebooks to start building regression models](https://img.youtube.com/vi/7E-jC8FLA2E/0.jpg)](https://youtu.be/7E-jC8FLA2E \"ML for beginners - Set up Jupyter Notebooks to start building regression models\")","","\u003e 🎥 Click the image above for a short video working through this exercise.","","### Exercise - work with a notebook","","In this folder, you will find the file _notebook.ipynb_.","","1. Open _notebook.ipynb_ in Visual Studio Code.","","   A Jupyter server will start with Python 3+ started. You will find areas of the notebook that can be `run`, pieces of code. You can run a code block, by selecting the icon that looks like a play button.","","1. Select the `md` icon and add a bit of markdown, and the following text **# Welcome to your notebook**.","","   Next, add some Python code.","","1. Type **print('hello notebook')** in the code block.","1. Select the arrow to run the code.","","   You should see the printed statement:","","    ```output","    hello notebook","    ```","","![VS Code with a notebook open](images/notebook.jpg)","","You can interleaf your code with comments to self-document the notebook.","","✅ Think for a minute how different a web developer's working environment is versus that of a data scientist.","","## Up and running with Scikit-learn","","Now that Python is set up in your local environment, and you are comfortable with Jupyter notebooks, let's get equally comfortable with Scikit-learn (pronounce it `sci` as in `science`). Scikit-learn provides an [extensive API](https://scikit-learn.org/stable/modules/classes.html#api-ref) to help you perform ML tasks.","","According to their [website](https://scikit-learn.org/stable/getting_started.html), \"Scikit-learn is an open source machine learning library that supports supervised and unsupervised learning. It also provides various tools for model fitting, data preprocessing, model selection and evaluation, and many other utilities.\"","","In this course, you will use Scikit-learn and other tools to build machine learning models to perform what we call 'traditional machine learning' tasks. We have deliberately avoided neural networks and deep learning, as they are better covered in our forthcoming 'AI for Beginners' curriculum.","","Scikit-learn makes it straightforward to build models and evaluate them for use. It is primarily focused on using numeric data and contains several ready-made datasets for use as learning tools. It also includes pre-built models for students to try. Let's explore the process of loading prepackaged data and using a built in estimator  first ML model with Scikit-learn with some basic data.","","## Exercise - your first Scikit-learn notebook","","\u003e This tutorial was inspired by the [linear regression example](https://scikit-learn.org/stable/auto_examples/linear_model/plot_ols.html#sphx-glr-auto-examples-linear-model-plot-ols-py) on Scikit-learn's web site.","","","[![ML for beginners - Your First Linear Regression Project in Python](https://img.youtube.com/vi/2xkXL5EUpS0/0.jpg)](https://youtu.be/2xkXL5EUpS0 \"ML for beginners - Your First Linear Regression Project in Python\")","","\u003e 🎥 Click the image above for a short video working through this exercise.","","In the _notebook.ipynb_ file associated to this lesson, clear out all the cells by pressing the 'trash can' icon.","","In this section, you will work with a small dataset about diabetes that is built into Scikit-learn for learning purposes. Imagine that you wanted to test a treatment for diabetic patients. Machine Learning models might help you determine which patients would respond better to the treatment, based on combinations of variables. Even a very basic regression model, when visualized, might show information about variables that would help you organize your theoretical clinical trials.","","✅ There are many types of regression methods, and which one you pick depends on the answer you're looking for. If you want to predict the probable height for a person of a given age, you'd use linear regression, as you're seeking a **numeric value**. If you're interested in discovering whether a type of cuisine should be considered vegan or not, you're looking for a **category assignment** so you would use logistic regression. You'll learn more about logistic regression later. Think a bit about some questions you can ask of data, and which of these methods would be more appropriate.","","Let's get started on this task.","","### Import libraries","","For this task we will import some libraries:","","- **matplotlib**. It's a useful [graphing tool](https://matplotlib.org/) and we will use it to create a line plot.","- **numpy**. [numpy](https://numpy.org/doc/stable/user/whatisnumpy.html) is a useful library for handling numeric data in Python.","- **sklearn**. This is the [Scikit-learn](https://scikit-learn.org/stable/user_guide.html) library.","","Import some libraries to help with your tasks.","","1. Add imports by typing the following code:","","   ```python","   import matplotlib.pyplot as plt","   import numpy as np","   from sklearn import datasets, linear_model, model_selection","   ```","","   Above you are importing `matplotlib`, `numpy` and you are importing `datasets`, `linear_model` and `model_selection` from `sklearn`. `model_selection` is used for splitting data into training and test sets.","","### The diabetes dataset","","The built-in [diabetes dataset](https://scikit-learn.org/stable/datasets/toy_dataset.html#diabetes-dataset) includes 442 samples of data around diabetes, with 10 feature variables, some of which include:","","- age: age in years","- bmi: body mass index","- bp: average blood pressure","- s1 tc: T-Cells (a type of white blood cells)","","✅ This dataset includes the concept of 'sex' as a feature variable important to research around diabetes. Many medical datasets include this type of binary classification. Think a bit about how categorizations such as this might exclude certain parts of a population from treatments.","","Now, load up the X and y data.","","\u003e 🎓 Remember, this is supervised learning, and we need a named 'y' target.","","In a new code cell, load the diabetes dataset by calling `load_diabetes()`. The input `return_X_y=True` signals that `X` will be a data matrix, and `y` will be the regression target.","","1. Add some print commands to show the shape of the data matrix and its first element:","","    ```python","    X, y = datasets.load_diabetes(return_X_y=True)","    print(X.shape)","    print(X[0])","    ```","","    What you are getting back as a response, is a tuple. What you are doing is to assign the two first values of the tuple to `X` and `y` respectively. Learn more [about tuples](https://wikipedia.org/wiki/Tuple).","","    You can see that this data has 442 items shaped in arrays of 10 elements:","","    ```text","    (442, 10)","    [ 0.03807591  0.05068012  0.06169621  0.02187235 -0.0442235  -0.03482076","    -0.04340085 -0.00259226  0.01990842 -0.01764613]","    ```","","    ✅ Think a bit about the relationship between the data and the regression target. Linear regression predicts relationships between feature X and target variable y. Can you find the [target](https://scikit-learn.org/stable/datasets/toy_dataset.html#diabetes-dataset) for the diabetes dataset in the documentation? What is this dataset demonstrating, given that target?","","2. Next, select a portion of this dataset to plot by selecting the 3rd column of the dataset. You can do this by using the `:` operator to select all rows, and then selecting the 3rd column using the index (2). You can also reshape the data to be a 2D array - as required for plotting - by using `reshape(n_rows, n_columns)`. If one of the parameter is -1, the corresponding dimension is calculated automatically.","","   ```python","   X = X[:, 2]","   X = X.reshape((-1,1))","   ```","","   ✅ At any time, print out the data to check its shape.","","3. Now that you have data ready to be plotted, you can see if a machine can help determine a logical split between the numbers in this dataset. To do this, you need to split both the data (X) and the target (y) into test and training sets. Scikit-learn has a straightforward way to do this; you can split your test data at a given point.","","   ```python","   X_train, X_test, y_train, y_test = model_selection.train_test_split(X, y, test_size=0.33)","   ```","","4. Now you are ready to train your model! Load up the linear regression model and train it with your X and y training sets using `model.fit()`:","","    ```python","    model = linear_model.LinearRegression()","    model.fit(X_train, y_train)","    ```","","    ✅ `model.fit()` is a function you'll see in many ML libraries such as TensorFlow","","5. Then, create a prediction using test data, using the function `predict()`. This will be used to draw the line between data groups","","    ```python","    y_pred = model.predict(X_test)","    ```","","6. Now it's time to show the data in a plot. Matplotlib is a very useful tool for this task. Create a scatterplot of all the X and y test data, and use the prediction to draw a line in the most appropriate place, between the model's data groupings.","","    ```python","    plt.scatter(X_test, y_test,  color='black')","    plt.plot(X_test, y_pred, color='blue', linewidth=3)","    plt.xlabel('Scaled BMIs')","    plt.ylabel('Disease Progression')","    plt.title('A Graph Plot Showing Diabetes Progression Against BMI')","    plt.show()","    ```","","   ![a scatterplot showing datapoints around diabetes](./images/scatterplot.png)","","   ✅ Think a bit about what's going on here. A straight line is running through many small dots of data, but what is it doing exactly? Can you see how you should be able to use this line to predict where a new, unseen data point should fit in relationship to the plot's y axis? Try to put into words the practical use of this model.","","Congratulations, you built your first linear regression model, created a prediction with it, and displayed it in a plot!","","---","## 🚀Challenge","","Plot a different variable from this dataset. Hint: edit this line: `X = X[:,2]`. Given this dataset's target, what are you able to discover about the progression of diabetes as a disease?","## [Post-lecture quiz](https://ff-quizzes.netlify.app/en/ml/)","","## Review \u0026 Self Study","","In this tutorial, you worked with simple linear regression, rather than univariate or multiple linear regression. Read a little about the differences between these methods, or take a look at [this video](https://www.coursera.org/lecture/quantifying-relationships-regression-models/linear-vs-nonlinear-categorical-variables-ai2Ef)","","Read more about the concept of regression and think about what kinds of questions can be answered by this technique. Take this [tutorial](https://docs.microsoft.com/learn/modules/train-evaluate-regression-models?WT.mc_id=academic-77952-leestott) to deepen your understanding.","","## Assignment","","[A different dataset](assignment.md)"],"stylingDirectives":[[[0,64,"pl-mh"],[2,64,"pl-en"]],[],[[0,2,"pl-s"],[40,41,"pl-s"],[41,42,"pl-s"],[42,77,"pl-corl"],[77,78,"pl-s"]],[],[[0,66,"pl-ent"],[0,2,"pl-ent"],[16,17,"pl-s"],[29,30,"pl-s"],[30,31,"pl-s"],[31,65,"pl-corl"],[65,66,"pl-s"]],[[0,0,"pl-ent"]],[[0,60,"pl-mh"],[3,60,"pl-en"],[3,4,"pl-s"],[20,21,"pl-s"],[21,22,"pl-s"],[22,59,"pl-corl"],[59,60,"pl-s"]],[],[[0,66,"pl-ent"],[0,2,"pl-ent"],[2,66,"pl-mh"],[6,66,"pl-en"],[6,7,"pl-s"],[37,38,"pl-s"],[38,39,"pl-s"],[39,65,"pl-corl"],[65,66,"pl-s"]],[[0,0,"pl-ent"]],[[0,15,"pl-mh"],[3,15,"pl-en"]],[],[],[],[],[],[[0,1,"pl-v"]],[[0,1,"pl-v"]],[[0,1,"pl-v"]],[[0,1,"pl-v"]],[],[[0,35,"pl-mh"],[3,35,"pl-en"]],[],[[0,1,"pl-s"],[1,3,"pl-s"],[77,78,"pl-s"],[78,79,"pl-s"],[79,123,"pl-corl"],[123,125,"pl-s"],[125,126,"pl-s"],[126,154,"pl-corl"],[155,156,"pl-s"],[156,229,"pl-s"],[229,231,"pl-s"]],[],[[0,94,"pl-ent"],[0,2,"pl-ent"]],[[0,0,"pl-ent"]],[[0,1,"pl-s"],[1,2,"pl-v"],[3,5,"pl-s"],[19,21,"pl-s"],[35,36,"pl-s"],[42,43,"pl-s"],[43,44,"pl-s"],[44,77,"pl-corl"],[77,78,"pl-s"],[258,259,"pl-s"],[278,279,"pl-s"],[279,280,"pl-s"],[280,369,"pl-corl"],[369,370,"pl-s"]],[],[[162,163,"pl-s"],[182,183,"pl-s"],[183,184,"pl-s"],[184,227,"pl-corl"],[227,228,"pl-s"]],[],[[0,1,"pl-s"],[1,2,"pl-v"],[3,5,"pl-s"],[31,33,"pl-s"],[130,131,"pl-s"],[157,158,"pl-s"],[158,159,"pl-s"],[159,189,"pl-corl"],[189,190,"pl-s"],[325,326,"pl-s"],[354,355,"pl-s"],[355,356,"pl-s"],[356,451,"pl-corl"],[451,452,"pl-s"]],[],[[3,195,"pl-ent"],[3,5,"pl-ent"],[71,72,"pl-s"],[85,86,"pl-s"],[86,87,"pl-s"],[87,194,"pl-corl"],[194,195,"pl-s"]],[[0,0,"pl-ent"],[3,4,"pl-ent"],[3,4,"pl-ent"]],[[0,0,"pl-ent"],[3,161,"pl-ent"],[3,5,"pl-ent"],[5,6,"pl-s"],[6,8,"pl-s"],[44,45,"pl-s"],[45,46,"pl-s"],[46,90,"pl-corl"],[90,92,"pl-s"],[92,93,"pl-s"],[93,121,"pl-corl"],[122,123,"pl-s"],[123,159,"pl-s"],[159,161,"pl-s"]],[[0,0,"pl-ent"],[3,4,"pl-ent"],[3,4,"pl-ent"]],[[0,0,"pl-ent"],[3,71,"pl-ent"],[3,5,"pl-ent"]],[[0,0,"pl-ent"]],[[0,1,"pl-s"],[1,2,"pl-v"],[3,5,"pl-s"],[25,27,"pl-s"],[42,43,"pl-s"],[61,62,"pl-s"],[62,63,"pl-s"],[63,107,"pl-corl"],[107,108,"pl-s"]],[],[[0,1,"pl-s"],[1,2,"pl-v"],[3,5,"pl-s"],[29,31,"pl-s"],[50,51,"pl-s"],[78,79,"pl-s"],[79,80,"pl-s"],[80,113,"pl-corl"],[113,114,"pl-s"]],[],[[0,32,"pl-mh"],[3,32,"pl-en"]],[],[[21,23,"pl-s"],[32,34,"pl-s"],[211,212,"pl-s"],[212,218,"pl-c1"],[218,219,"pl-s"]],[],[],[],[[0,1,"pl-s"],[1,3,"pl-s"],[82,83,"pl-s"],[83,84,"pl-s"],[84,128,"pl-corl"],[128,130,"pl-s"],[130,131,"pl-s"],[131,159,"pl-corl"],[160,161,"pl-s"],[161,240,"pl-s"],[240,242,"pl-s"]],[],[[0,75,"pl-ent"],[0,2,"pl-ent"]],[[0,0,"pl-ent"]],[[0,35,"pl-mh"],[4,35,"pl-en"]],[],[[39,40,"pl-s"],[54,55,"pl-s"]],[],[[0,1,"pl-s"],[1,2,"pl-v"],[8,9,"pl-s"],[23,24,"pl-s"]],[],[[103,104,"pl-s"],[104,107,"pl-c1"],[107,108,"pl-s"]],[],[[0,1,"pl-s"],[1,2,"pl-v"],[14,15,"pl-s"],[15,17,"pl-c1"],[17,18,"pl-s"],[74,76,"pl-s"],[102,104,"pl-s"]],[],[],[],[[0,1,"pl-s"],[1,2,"pl-v"],[8,10,"pl-s"],[33,35,"pl-s"]],[[0,1,"pl-s"],[1,2,"pl-v"]],[],[],[],[[4,7,"pl-s"],[7,13,"pl-en"],[13,13,"pl-c1"]],[[0,18,"pl-c1"]],[[0,7,"pl-c1"]],[[0,0,"pl-c1"]],[[0,52,"pl-c1"]],[[0,0,"pl-c1"]],[[0,72,"pl-c1"]],[[0,0,"pl-c1"]],[[0,108,"pl-c1"]],[[0,0,"pl-c1"]],[[0,35,"pl-c1"]],[[0,0,"pl-c1"]],[[0,319,"pl-c1"]],[[0,0,"pl-c1"]],[[0,321,"pl-c1"]],[[0,0,"pl-c1"]],[[0,293,"pl-c1"]],[[0,0,"pl-c1"]],[[0,390,"pl-c1"]],[[0,0,"pl-c1"]],[[0,46,"pl-c1"]],[[0,0,"pl-c1"]],[[0,213,"pl-c1"]],[[0,0,"pl-c1"]],[[0,0,"pl-c1"]],[[0,214,"pl-c1"]],[[0,0,"pl-c1"]],[[0,75,"pl-c1"]],[[0,0,"pl-c1"]],[[0,113,"pl-c1"]],[[0,0,"pl-c1"]],[[0,482,"pl-c1"]],[[0,0,"pl-c1"]],[[0,589,"pl-c1"]],[[0,0,"pl-c1"]],[[0,31,"pl-c1"]],[[0,0,"pl-c1"]],[[0,20,"pl-c1"]],[[0,0,"pl-c1"]],[[0,44,"pl-c1"]],[[0,0,"pl-c1"]],[[0,114,"pl-c1"]],[[0,129,"pl-c1"]],[[0,99,"pl-c1"]],[[0,0,"pl-c1"]],[[0,46,"pl-c1"]],[[0,0,"pl-c1"]],[[0,44,"pl-c1"]],[[0,0,"pl-c1"]],[[0,12,"pl-c1"]],[[0,34,"pl-c1"]],[[0,21,"pl-c1"]],[[0,62,"pl-c1"]],[[0,0,"pl-c1"],[3,6,"pl-s"]],[],[[27,28,"pl-s"],[28,38,"pl-c1"],[38,39,"pl-s"],[41,42,"pl-s"],[42,47,"pl-c1"],[47,48,"pl-s"],[71,72,"pl-s"],[72,80,"pl-c1"],[80,81,"pl-s"],[83,84,"pl-s"],[84,96,"pl-c1"],[96,97,"pl-s"],[102,103,"pl-s"],[103,118,"pl-c1"],[118,119,"pl-s"],[125,126,"pl-s"],[126,133,"pl-c1"],[133,134,"pl-s"],[136,137,"pl-s"],[137,152,"pl-c1"],[152,153,"pl-s"]],[],[[0,24,"pl-mh"],[4,24,"pl-en"]],[],[[13,14,"pl-s"],[30,31,"pl-s"],[31,32,"pl-s"],[32,106,"pl-corl"],[106,107,"pl-s"]],[],[[0,1,"pl-v"]],[[0,1,"pl-v"]],[[0,1,"pl-v"]],[[0,1,"pl-v"]],[],[],[],[],[],[[0,75,"pl-ent"],[0,2,"pl-ent"]],[[0,0,"pl-ent"]],[[57,58,"pl-s"],[58,73,"pl-c1"],[73,74,"pl-s"],[86,87,"pl-s"],[87,102,"pl-c1"],[102,103,"pl-s"],[117,118,"pl-s"],[118,119,"pl-c1"],[119,120,"pl-s"],[148,149,"pl-s"],[149,150,"pl-c1"],[150,151,"pl-s"]],[],[[0,1,"pl-s"],[1,2,"pl-v"]],[],[[4,7,"pl-s"],[7,13,"pl-en"]],[[9,10,"pl-k"],[34,44,"pl-v"],[44,45,"pl-k"],[45,49,"pl-c1"]],[[4,9,"pl-c1"]],[[4,9,"pl-c1"],[12,13,"pl-c1"]],[],[],[[30,32,"pl-k"],[45,47,"pl-k"],[50,55,"pl-c1"],[76,78,"pl-k"],[117,122,"pl-c1"],[126,129,"pl-bu"],[130,133,"pl-k"],[134,137,"pl-bu"],[184,186,"pl-k"],[199,200,"pl-k"],[204,205,"pl-k"]],[],[[35,38,"pl-c1"],[52,54,"pl-k"],[65,67,"pl-c1"]],[],[[4,11,"pl-bu"]],[[5,8,"pl-c1"],[10,12,"pl-c1"]],[[6,16,"pl-c1"],[18,28,"pl-c1"],[30,40,"pl-c1"],[42,52,"pl-c1"],[53,54,"pl-k"],[54,63,"pl-c1"],[65,66,"pl-k"],[66,76,"pl-c1"]],[[4,5,"pl-k"],[5,15,"pl-c1"],[16,17,"pl-k"],[17,27,"pl-c1"],[29,39,"pl-c1"],[40,41,"pl-k"],[41,51,"pl-c1"]],[],[],[[58,61,"pl-k"],[144,147,"pl-k"],[199,201,"pl-k"],[207,208,"pl-k"],[217,218,"pl-k"],[224,225,"pl-k"],[233,234,"pl-k"],[250,370,"pl-c"],[250,251,"pl-c"]],[],[[0,1,"pl-c1"],[67,70,"pl-ii"],[123,126,"pl-bu"],[146,149,"pl-c1"],[156,159,"pl-k"],[179,182,"pl-ii"],[207,208,"pl-c1"],[249,251,"pl-ii"],[258,259,"pl-k"],[260,262,"pl-k"],[272,275,"pl-k"],[285,286,"pl-k"],[296,324,"pl-bu"],[350,352,"pl-k"],[353,354,"pl-k"],[354,355,"pl-c1"],[385,387,"pl-k"]],[],[[3,12,"pl-bu"]],[[3,4,"pl-v"],[5,6,"pl-k"],[12,13,"pl-c1"]],[[3,4,"pl-v"],[5,6,"pl-k"],[18,19,"pl-k"],[19,20,"pl-c1"],[21,22,"pl-c1"]],[[3,6,"pl-bu"]],[],[[8,11,"pl-c1"],[18,23,"pl-c1"]],[],[[0,1,"pl-c1"],[59,61,"pl-k"],[76,80,"pl-c1"],[127,129,"pl-k"],[192,195,"pl-k"],[221,224,"pl-k"],[246,247,"pl-k"]],[],[[3,12,"pl-bu"]],[[29,35,"pl-v"],[36,37,"pl-k"],[77,86,"pl-v"],[86,87,"pl-k"],[87,91,"pl-c1"]],[[3,6,"pl-bu"]],[],[[0,1,"pl-c1"],[78,81,"pl-k"],[91,95,"pl-k"],[103,106,"pl-k"],[129,142,"pl-bu"]],[],[[4,13,"pl-bu"]],[[4,9,"pl-v"],[10,11,"pl-k"]],[],[[4,7,"pl-bu"]],[],[[6,19,"pl-bu"],[20,22,"pl-k"],[37,84,"pl-s"],[37,38,"pl-pds"],[84,84,"pl-ii"]],[],[[0,1,"pl-c1"],[65,76,"pl-bu"]],[],[[4,13,"pl-bu"]],[[4,10,"pl-v"],[11,12,"pl-k"]],[[4,7,"pl-bu"]],[],[[0,1,"pl-c1"],[9,231,"pl-s"],[9,10,"pl-pds"],[230,231,"pl-pds"]],[],[[4,13,"pl-bu"]],[[33,38,"pl-v"],[38,39,"pl-k"],[39,46,"pl-s"],[39,40,"pl-pds"],[45,46,"pl-pds"]],[[29,34,"pl-v"],[34,35,"pl-k"],[35,41,"pl-s"],[35,36,"pl-pds"],[40,41,"pl-pds"],[43,52,"pl-v"],[52,53,"pl-k"],[53,54,"pl-c1"]],[[15,28,"pl-s"],[15,16,"pl-pds"],[27,28,"pl-pds"]],[[15,36,"pl-s"],[15,16,"pl-pds"],[35,36,"pl-pds"]],[[14,69,"pl-s"],[14,15,"pl-pds"],[68,69,"pl-pds"]],[],[[4,7,"pl-bu"]],[],[[56,57,"pl-k"],[63,64,"pl-k"]],[],[[27,268,"pl-s"],[27,28,"pl-pds"],[267,268,"pl-pds"],[276,277,"pl-ii"]],[],[[84,88,"pl-k"],[93,96,"pl-k"],[110,112,"pl-k"]],[],[[0,2,"pl-ii"],[2,3,"pl-k"]],[[0,14,"pl-c"],[0,1,"pl-c"]],[],[[26,30,"pl-k"],[67,79,"pl-bu"],[76,77,"pl-c1"],[99,187,"pl-s"],[99,100,"pl-pds"],[187,187,"pl-ii"]],[[0,61,"pl-c"],[0,1,"pl-c"]],[],[[0,22,"pl-c"],[0,1,"pl-c"]],[],[[29,33,"pl-k"],[83,85,"pl-k"],[173,175,"pl-k"],[210,212,"pl-k"],[228,229,"pl-k"],[236,237,"pl-k"],[248,249,"pl-k"],[262,263,"pl-k"],[273,274,"pl-k"],[280,281,"pl-k"],[287,288,"pl-k"],[290,291,"pl-k"],[300,301,"pl-k"],[312,313,"pl-k"],[322,323,"pl-k"]],[],[[42,45,"pl-k"],[144,146,"pl-k"],[164,165,"pl-k"],[170,171,"pl-k"],[178,179,"pl-k"],[184,185,"pl-k"],[193,194,"pl-k"],[204,205,"pl-k"],[211,212,"pl-ii"],[212,214,"pl-c1"],[220,221,"pl-k"],[229,230,"pl-k"],[230,235,"pl-c1"],[235,236,"pl-k"]],[],[[0,13,"pl-c"],[0,1,"pl-c"]],[],[]],"colorizedLines":null}},"title":"ML-For-Beginners/2-Regression/1-Tools/README.md at main · laserwang/ML-For-Beginners","appPayload":{},"meta":{"title":"ML-For-Beginners/2-Regression/1-Tools/README.md at main · laserwang/ML-For-Beginners"}}</script>
  <div data-target="react-app.reactRoot"><meta name="github-code-view-meta-stats" id="github-code-view-meta-stats" data-hydrostats="publish"/> <!-- --> <a hidden="" id="code-view-repo-link" href="/laserwang/ML-For-Beginners" data-discover="true"></a> <div class="d-none"></div><div><div style="--spacing:var(--spacing-none)" class="prc-PageLayout-PageLayoutRoot--KH-d" data-component="SplitPageLayout" data-has-sidebar="true"><div class="prc-PageLayout-SidebarWrapper-kLG4B CopilotSidePanelSidebar-module__SidePanel__L3O0C CopilotSidePanelSidebar-module__HiddenSidePanel__TBRGn" style="--spacing-column:var(--spacing-none)" data-is-hidden="false" data-position="end" data-sticky="true" data-responsive-variant="fullscreen"><div class="prc-PageLayout-VerticalDivider-9QRmK prc-PageLayout-SidebarVerticalDivider-0Rl0V" data-component="PageLayout.VerticalDivider" data-variant="line" data-position="end" style="--spacing:var(--spacing-none)"><div class="prc-PageLayout-DraggableHandle-9s6B4" data-component="PageLayout.DragHandle" role="slider" aria-label="Draggable pane splitter" aria-valuemin="450" aria-valuemax="768" aria-valuenow="544" aria-valuetext="Pane width 544 pixels" tabindex="0"></div></div><div class="prc-PageLayout-Sidebar-iciWg" data-component="SplitPageLayout.Sidebar" data-resizable="true" style="--spacing:var(--spacing-normal);--pane-min-width:450px;--pane-max-width:768px;--pane-width-custom:544px;--pane-width-size:var(--pane-width-custom);--pane-width:544px"><div class="height-full" data-testid="copilot-code-view-side-panel"><div id="copilot-side-panel-content" class="height-full"></div></div></div></div><div class="prc-PageLayout-PageLayoutWrapper-2BhU2" data-width="full"><div class="prc-PageLayout-PageLayoutContent-BneH9"><div id="repos-file-tree-sidebar" class="CodeViewFileTreeLayout-module__sidebar__n_Aau" tabindex="0"><div class="prc-PageLayout-PaneWrapper-pHPop ReposFileTreePane-module__Pane__rBZpI ReposFileTreePane-module__HideTree__AYZnm ReposFileTreePane-module__HidePane__VHAVt" style="--offset-header:0px;--spacing-row:var(--spacing-none);--spacing-column:var(--spacing-none)" data-is-hidden="false" data-position="start" data-sticky="true"><div class="prc-PageLayout-HorizontalDivider-JLVqp prc-PageLayout-PaneHorizontalDivider-9tbnE" data-component="PageLayout.HorizontalDivider" data-variant-regular="none" data-variant-narrow="none" data-position="start" style="--spacing-divider:var(--spacing-none);--spacing:var(--spacing-none)"></div><div class="prc-PageLayout-Pane-AyzHK" data-component="SplitPageLayout.Pane" data-resizable="true" style="--spacing:var(--spacing-none);--pane-min-width:256px;--pane-max-width:calc(100vw - var(--pane-max-width-diff));--pane-width-size:var(--pane-width-large);--pane-width:320px"></div><div class="prc-PageLayout-VerticalDivider-9QRmK prc-PageLayout-PaneVerticalDivider-le57g" data-component="PageLayout.VerticalDivider" data-variant-narrow="none" data-variant-regular="line" data-variant-wide="line" data-position="start" style="--spacing:var(--spacing-none)"><div class="prc-PageLayout-DraggableHandle-9s6B4" data-component="PageLayout.DragHandle" role="slider" aria-label="Draggable pane splitter" aria-valuemin="256" aria-valuemax="600" aria-valuenow="320" aria-valuetext="Pane width 320 pixels" tabindex="0"></div></div></div></div><div data-component="SplitPageLayout.Content" class="prc-PageLayout-ContentWrapper-gR9eG"><div class="prc-PageLayout-Content-xWL-A" data-width="full" style="--spacing:var(--spacing-none)"><div class="SharedPageLayout-module__content__IwGAp" data-selector="repos-split-pane-content" id="repos-split-pane-content" tabindex="0"> <!-- --> <div class="container CodeViewHeader-module__Box__JkPOb"><div class="CodeViewHeader-module__StickyHeader__Qn7UN" id="StickyHeader"><div class="CodeViewHeader-module__Box_1__SbNDV"><div class="CodeViewHeader-module__Box_2__TB46f"><div class="react-code-view-header-wrap--narrow CodeViewHeader-module__Box_3__q1zUL"><div class="CodeViewHeader-module__treeToggleWrapper__RQ__9"><h2 class="use-tree-pane-module__Heading__s4QbZ prc-Heading-Heading-MtWFE" data-component="Heading"><button data-component="Button" type="button" aria-label="Expand file tree" data-testid="expand-file-tree-button-mobile" class="prc-Button-ButtonBase-9n-Xk ExpandFileTreeButton-module__Button_1__Svs95" data-loading="false" data-size="medium" data-variant="invisible"><span data-component="buttonContent" data-align="center" class="prc-Button-ButtonContent-Iohp5"><span data-component="leadingVisual" class="prc-Button-Visual-YNt2F prc-Button-LeadingVisual-UySKu prc-Button-VisualWrap-E4cnq"><svg data-component="Octicon" aria-hidden="true" focusable="false" class="octicon octicon-arrow-left" viewBox="0 0 16 16" width="16" height="16" fill="currentColor" display="inline-block" overflow="visible" style="vertical-align:text-bottom"><path d="M7.78 12.53a.75.75 0 0 1-1.06 0L2.47 8.28a.75.75 0 0 1 0-1.06l4.25-4.25a.751.751 0 0 1 1.042.018.751.751 0 0 1 .018 1.042L4.81 7h7.44a.75.75 0 0 1 0 1.5H4.81l2.97 2.97a.75.75 0 0 1 0 1.06Z"></path></svg></span><span data-component="text" class="prc-Button-Label-FWkx3">Files</span></span></button><button data-component="IconButton" type="button" data-testid="expand-file-tree-button" aria-controls="repos-file-tree" class="prc-Button-ButtonBase-9n-Xk position-relative ExpandFileTreeButton-module__expandButton__hDOcv ExpandFileTreeButton-module__filesButtonBreakpoint__zEvz3 fgColor-muted prc-Button-IconButton-fyge7" data-loading="false" data-no-visuals="true" data-size="medium" data-variant="invisible" aria-labelledby="_R_4lla9lik5_"><svg data-component="Octicon" aria-hidden="true" focusable="false" class="octicon octicon-sidebar-collapse" viewBox="0 0 16 16" width="16" height="16" fill="currentColor" display="inline-block" overflow="visible" style="vertical-align:text-bottom"><path d="M6.823 7.823a.25.25 0 0 1 0 .354l-2.396 2.396A.25.25 0 0 1 4 10.396V5.604a.25.25 0 0 1 .427-.177Z"></path><path d="M1.75 0h12.5C15.216 0 16 .784 16 1.75v12.5A1.75 1.75 0 0 1 14.25 16H1.75A1.75 1.75 0 0 1 0 14.25V1.75C0 .784.784 0 1.75 0ZM1.5 1.75v12.5c0 .138.112.25.25.25H9.5v-13H1.75a.25.25 0 0 0-.25.25ZM11 14.5h3.25a.25.25 0 0 0 .25-.25V1.75a.25.25 0 0 0-.25-.25H11Z"></path></svg></button><span class="prc-TooltipV2-Tooltip-tLeuB" data-direction="se" data-component="Tooltip" aria-hidden="true" id="_R_4lla9lik5_">Expand file tree</span><div class="d-none"></div></h2></div><div class="react-code-view-header-mb--narrow mr-2"><button data-component="Button" type="button" aria-haspopup="true" aria-expanded="false" tabindex="0" aria-label="main branch" data-testid="anchor-button" data-icv-name="Switch branches/tags" class="prc-Button-ButtonBase-9n-Xk ref-selector-class RefSelectorAnchoredOverlay-module__RefSelectorOverlayBtn__a3WK3" data-loading="false" data-size="medium" data-variant="default" id="ref-picker-repos-header-ref-selector-wide"><span data-component="buttonContent" data-align="center" class="prc-Button-ButtonContent-Iohp5"><span data-component="leadingVisual" class="prc-Button-Visual-YNt2F prc-Button-LeadingVisual-UySKu prc-Button-VisualWrap-E4cnq"><svg data-component="Octicon" aria-hidden="true" focusable="false" class="octicon octicon-git-branch" viewBox="0 0 16 16" width="16" height="16" fill="currentColor" display="inline-block" overflow="visible" style="vertical-align:text-bottom"><path d="M9.5 3.25a2.25 2.25 0 1 1 3 2.122V6A2.5 2.5 0 0 1 10 8.5H6a1 1 0 0 0-1 1v1.128a2.251 2.251 0 1 1-1.5 0V5.372a2.25 2.25 0 1 1 1.5 0v1.836A2.493 2.493 0 0 1 6 7h4a1 1 0 0 0 1-1v-.628A2.25 2.25 0 0 1 9.5 3.25Zm-6 0a.75.75 0 1 0 1.5 0 .75.75 0 0 0-1.5 0Zm8.25-.75a.75.75 0 1 0 0 1.5.75.75 0 0 0 0-1.5ZM4.25 12a.75.75 0 1 0 0 1.5.75.75 0 0 0 0-1.5Z"></path></svg></span><span data-component="text" class="prc-Button-Label-FWkx3"><div class="RefSelectorAnchoredOverlay-module__RefSelectorOverlayContainer__yaf4p"><div style="max-width:125px" class="ref-selector-button-text-container RefSelectorAnchoredOverlay-module__RefSelectorBtnTextContainer__Di3rk"><span class="RefSelectorAnchoredOverlay-module__RefSelectorText__w_fmP">main</span></div></div></span><span data-component="trailingVisual" class="prc-Button-Visual-YNt2F prc-Button-VisualWrap-E4cnq"><svg data-component="Octicon" aria-hidden="true" focusable="false" class="octicon octicon-triangle-down" viewBox="0 0 16 16" width="16" height="16" fill="currentColor" display="inline-block" overflow="visible" style="vertical-align:text-bottom"><path d="m4.427 7.427 3.396 3.396a.25.25 0 0 0 .354 0l3.396-3.396A.25.25 0 0 0 11.396 7H4.604a.25.25 0 0 0-.177.427Z"></path></svg></span></span></button><div class="d-none"></div></div><div class="react-code-view-header-mb--narrow CodeViewHeader-module__Box_5__MQ0hL"><div class="Breadcrumb-module__container__Vxvev Breadcrumb-module__lg__Rjz0A"><nav data-testid="breadcrumbs" aria-labelledby="repos-header-breadcrumb-heading" id="repos-header-breadcrumb" class="Breadcrumb-module__nav__rQFDj"><h2 class="sr-only ScreenReaderHeading-module__userSelectNone__rwWIk prc-Heading-Heading-MtWFE" data-component="Heading" data-testid="screen-reader-heading" id="repos-header-breadcrumb-heading">Breadcrumbs</h2><ol class="Breadcrumb-module__list__ZH6zr"><li class="Breadcrumb-module__listItem__Ib0x_"><a class="Breadcrumb-module__repoLink__O2Nbs prc-Link-Link-9ZwDx" data-component="Link" data-testid="breadcrumbs-repo-link" href="/laserwang/ML-For-Beginners/tree/main" data-discover="true">ML-For-Beginners</a></li><li class="Breadcrumb-module__listItem__Ib0x_"><span class="Breadcrumb-module__separator__eNwsI Breadcrumb-module__lg__Rjz0A" aria-hidden="true">/</span><a class="Breadcrumb-module__directoryLink__kQy_t prc-Link-Link-9ZwDx" data-component="Link" href="/laserwang/ML-For-Beginners/tree/main/2-Regression" data-discover="true">2-Regression</a></li><li class="Breadcrumb-module__listItem__Ib0x_"><span class="Breadcrumb-module__separator__eNwsI Breadcrumb-module__lg__Rjz0A" aria-hidden="true">/</span><a class="Breadcrumb-module__directoryLink__kQy_t prc-Link-Link-9ZwDx" data-component="Link" href="/laserwang/ML-For-Beginners/tree/main/2-Regression/1-Tools" data-discover="true">1-Tools</a></li></ol></nav><div data-testid="breadcrumbs-filename" class="Breadcrumb-module__filename__equZR"><span class="Breadcrumb-module__separator__eNwsI Breadcrumb-module__lg__Rjz0A" aria-hidden="true">/</span><h1 class="Breadcrumb-module__filenameHeading__MNMtw Breadcrumb-module__lg__Rjz0A prc-Heading-Heading-MtWFE" data-component="Heading" tabindex="-1" id="file-name-id">README.md</h1></div><button data-component="IconButton" type="button" class="prc-Button-ButtonBase-9n-Xk ml-2 prc-Button-IconButton-fyge7" data-loading="false" data-no-visuals="true" data-size="small" data-variant="invisible" aria-labelledby="_R_7lla9lik5_"><svg data-component="Octicon" aria-hidden="true" focusable="false" class="octicon octicon-copy" viewBox="0 0 16 16" width="16" height="16" fill="currentColor" display="inline-block" overflow="visible" style="vertical-align:text-bottom"><path d="M0 6.75C0 5.784.784 5 1.75 5h1.5a.75.75 0 0 1 0 1.5h-1.5a.25.25 0 0 0-.25.25v7.5c0 .138.112.25.25.25h7.5a.25.25 0 0 0 .25-.25v-1.5a.75.75 0 0 1 1.5 0v1.5A1.75 1.75 0 0 1 9.25 16h-7.5A1.75 1.75 0 0 1 0 14.25Z"></path><path d="M5 1.75C5 .784 5.784 0 6.75 0h7.5C15.216 0 16 .784 16 1.75v7.5A1.75 1.75 0 0 1 14.25 11h-7.5A1.75 1.75 0 0 1 5 9.25Zm1.75-.25a.25.25 0 0 0-.25.25v7.5c0 .138.112.25.25.25h7.5a.25.25 0 0 0 .25-.25v-7.5a.25.25 0 0 0-.25-.25Z"></path></svg></button><span class="CopyToClipboardIconButton-module__tooltip__WyiwL prc-TooltipV2-Tooltip-tLeuB" data-direction="nw" data-component="Tooltip" aria-label="Copy path" aria-hidden="true" id="_R_7lla9lik5_">Copy path</span></div></div></div><div class="react-code-view-header-element--wide"><div class="CodeViewHeader-module__Box_7___0R6c"><div class="d-flex gap-2"><div><div class="CodeViewHeader-module__FileResultsList__JDzUy"><span class="d-flex FileResultsList-module__FilesSearchBox__ivVkc TextInput-wrapper prc-components-TextInputWrapper-Hpdqi prc-components-TextInputBaseWrapper-wY-n0" data-no-trailing-action="true" data-component="TextInput" data-leading-visual="true" data-trailing-visual="true" aria-busy="false"><span class="TextInput-icon" id="_R_1cpla9lik5_" aria-hidden="true" data-component="TextInput.LeadingVisual"><svg data-component="Octicon" aria-hidden="true" focusable="false" class="octicon octicon-search" viewBox="0 0 16 16" width="16" height="16" fill="currentColor" display="inline-block" overflow="visible" style="vertical-align:text-bottom"><path d="M10.68 11.74a6 6 0 0 1-7.922-8.982 6 6 0 0 1 8.982 7.922l3.04 3.04a.749.749 0 0 1-.326 1.275.749.749 0 0 1-.734-.215ZM11.5 7a4.499 4.499 0 1 0-8.997 0A4.499 4.499 0 0 0 11.5 7Z"></path></svg></span><input type="text" aria-label="Go to file" role="combobox" aria-controls="file-results-list" aria-expanded="false" aria-haspopup="dialog" autoCorrect="off" spellCheck="false" placeholder="Go to file" aria-describedby="_R_1cpla9lik5_ _R_1cpla9lik5H1_" data-component="input" class="prc-components-Input-IwWrt" value=""/><span class="TextInput-icon" id="_R_1cpla9lik5H1_" aria-hidden="true" data-component="TextInput.TrailingVisual"></span></span></div><div class="d-none"></div></div><button data-component="Button" type="button" style="display:none" class="prc-Button-ButtonBase-9n-Xk NavigationMenu-module__Button__LpKgm" data-loading="false" data-no-visuals="true" data-size="medium" data-variant="default"><span data-component="buttonContent" data-align="center" class="prc-Button-ButtonContent-Iohp5"><span data-component="text" class="prc-Button-Label-FWkx3">Blame</span></span></button><div class="d-none"></div><button data-component="IconButton" type="button" data-testid="more-file-actions-button-nav-menu-wide" aria-haspopup="true" aria-expanded="false" tabindex="0" class="prc-Button-ButtonBase-9n-Xk js-blob-dropdown-click NavigationMenu-module__IconButton__HpX3G prc-Button-IconButton-fyge7" data-loading="false" data-no-visuals="true" data-size="medium" data-variant="default" aria-labelledby="_R_7p9la9lik5_" id="_R_99la9lik5_"><svg data-component="Octicon" aria-hidden="true" focusable="false" class="octicon octicon-kebab-horizontal" viewBox="0 0 16 16" width="16" height="16" fill="currentColor" display="inline-block" overflow="visible" style="vertical-align:text-bottom"><path d="M8 9a1.5 1.5 0 1 0 0-3 1.5 1.5 0 0 0 0 3ZM1.5 9a1.5 1.5 0 1 0 0-3 1.5 1.5 0 0 0 0 3Zm13 0a1.5 1.5 0 1 0 0-3 1.5 1.5 0 0 0 0 3Z"></path></svg></button><span class="prc-TooltipV2-Tooltip-tLeuB" data-direction="nw" data-component="Tooltip" aria-hidden="true" id="_R_7p9la9lik5_">More file actions</span></div></div></div><div class="react-code-view-header-element--narrow"><div class="CodeViewHeader-module__Box_7___0R6c"><div class="d-flex gap-2"><button data-component="Button" type="button" style="display:none" class="prc-Button-ButtonBase-9n-Xk NavigationMenu-module__Button__LpKgm" data-loading="false" data-no-visuals="true" data-size="medium" data-variant="default"><span data-component="buttonContent" data-align="center" class="prc-Button-ButtonContent-Iohp5"><span data-component="text" class="prc-Button-Label-FWkx3">Blame</span></span></button><div class="d-none"></div><button data-component="IconButton" type="button" data-testid="more-file-actions-button-nav-menu-narrow" aria-haspopup="true" aria-expanded="false" tabindex="0" class="prc-Button-ButtonBase-9n-Xk js-blob-dropdown-click NavigationMenu-module__IconButton__HpX3G prc-Button-IconButton-fyge7" data-loading="false" data-no-visuals="true" data-size="medium" data-variant="default" aria-labelledby="_R_7pdla9lik5_" id="_R_9dla9lik5_"><svg data-component="Octicon" aria-hidden="true" focusable="false" class="octicon octicon-kebab-horizontal" viewBox="0 0 16 16" width="16" height="16" fill="currentColor" display="inline-block" overflow="visible" style="vertical-align:text-bottom"><path d="M8 9a1.5 1.5 0 1 0 0-3 1.5 1.5 0 0 0 0 3ZM1.5 9a1.5 1.5 0 1 0 0-3 1.5 1.5 0 0 0 0 3Zm13 0a1.5 1.5 0 1 0 0-3 1.5 1.5 0 0 0 0 3Z"></path></svg></button><span class="prc-TooltipV2-Tooltip-tLeuB" data-direction="nw" data-component="Tooltip" aria-hidden="true" id="_R_7pdla9lik5_">More file actions</span></div></div></div></div></div></div></div><div class="CodeView-module__contentWrapper__cG2JH"><div class="react-code-view-bottom-padding"><div class="BlobTopBanners-module__Box__v_nvx"></div></div> <div class="d-none"></div><div class="d-flex flex-column border rounded-2 tmp-mb-3 pl-1"><div class="LatestCommit-module__Box__B25ZT"><h2 class="sr-only ScreenReaderHeading-module__userSelectNone__rwWIk prc-Heading-Heading-MtWFE" data-component="Heading" data-testid="screen-reader-heading">Latest commit</h2><div style="width:120px" class="Skeleton Skeleton--text" data-testid="loading"> </div><div class="d-flex flex-shrink-0 gap-2"><div data-testid="latest-commit-details" class="d-none d-sm-flex flex-items-center"></div><div class="d-flex gap-2"><h2 class="sr-only ScreenReaderHeading-module__userSelectNone__rwWIk prc-Heading-Heading-MtWFE" data-component="Heading" data-testid="screen-reader-heading">History</h2><a data-component="LinkButton" href="/laserwang/ML-For-Beginners/commits/main/2-Regression/1-Tools/README.md" class="prc-Button-ButtonBase-9n-Xk d-none d-lg-flex LinkButton-module__linkButton__nFnov flex-items-center fgColor-default" data-loading="false" data-size="small" data-variant="invisible"><span data-component="buttonContent" data-align="center" class="prc-Button-ButtonContent-Iohp5"><span data-component="leadingVisual" class="prc-Button-Visual-YNt2F prc-Button-LeadingVisual-UySKu prc-Button-VisualWrap-E4cnq"><svg data-component="Octicon" aria-hidden="true" focusable="false" class="octicon octicon-history" viewBox="0 0 16 16" width="16" height="16" fill="currentColor" display="inline-block" overflow="visible" style="vertical-align:text-bottom"><path d="m.427 1.927 1.215 1.215a8.002 8.002 0 1 1-1.6 5.685.75.75 0 1 1 1.493-.154 6.5 6.5 0 1 0 1.18-4.458l1.358 1.358A.25.25 0 0 1 3.896 6H.25A.25.25 0 0 1 0 5.75V2.104a.25.25 0 0 1 .427-.177ZM7.75 4a.75.75 0 0 1 .75.75v2.992l2.028.812a.75.75 0 0 1-.557 1.392l-2.5-1A.751.751 0 0 1 7 8.25v-3.5A.75.75 0 0 1 7.75 4Z"></path></svg></span><span data-component="text" class="prc-Button-Label-FWkx3"><span class="fgColor-default">History</span></span></span></a><div class="d-sm-none"></div><div class="d-flex d-lg-none"><a data-component="LinkButton" aria-label="View commit history for this file." href="/laserwang/ML-For-Beginners/commits/main/2-Regression/1-Tools/README.md" class="prc-Button-ButtonBase-9n-Xk LinkButton-module__linkButton__nFnov flex-items-center fgColor-default" data-loading="false" data-size="small" data-variant="invisible" aria-describedby="_R_4mlala9lik5_"><span data-component="buttonContent" data-align="center" class="prc-Button-ButtonContent-Iohp5"><span data-component="leadingVisual" class="prc-Button-Visual-YNt2F prc-Button-LeadingVisual-UySKu prc-Button-VisualWrap-E4cnq"><svg data-component="Octicon" aria-hidden="true" focusable="false" class="octicon octicon-history" viewBox="0 0 16 16" width="16" height="16" fill="currentColor" display="inline-block" overflow="visible" style="vertical-align:text-bottom"><path d="m.427 1.927 1.215 1.215a8.002 8.002 0 1 1-1.6 5.685.75.75 0 1 1 1.493-.154 6.5 6.5 0 1 0 1.18-4.458l1.358 1.358A.25.25 0 0 1 3.896 6H.25A.25.25 0 0 1 0 5.75V2.104a.25.25 0 0 1 .427-.177ZM7.75 4a.75.75 0 0 1 .75.75v2.992l2.028.812a.75.75 0 0 1-.557 1.392l-2.5-1A.751.751 0 0 1 7 8.25v-3.5A.75.75 0 0 1 7.75 4Z"></path></svg></span></span></a><span class="prc-TooltipV2-Tooltip-tLeuB" data-direction="s" data-component="Tooltip" role="tooltip" aria-hidden="true" id="_R_4mlala9lik5_">History</span></div></div></div></div></div><div class="d-flex flex-row"><div class="container BlobViewContent-module__blobContainer__DtH2d"><div class="react-code-size-details-banner BlobViewContent-module__codeSizeDetails__e5sUw"><div class="react-code-size-details-banner CodeSizeDetails-module__Box__VcD6l"><div class="text-mono CodeSizeDetails-module__Box_1__GVxQL"><div data-testid="blob-size" class="CodeSizeDetails-module__Truncate_1__lE93V prc-Truncate-Truncate-2G1eo" data-inline="true" title="14.1 KB" style="--truncate-max-width:100%"><span>226 lines (136 loc) · 14.1 KB</span></div></div></div></div><div class="react-blob-view-header-sticky BlobViewContent-module__stickyHeader__VwxB5" id="repos-sticky-header"><div class="BlobViewHeader-module__Box__yhm9u"><div class="react-blob-sticky-header"><div class="FileNameStickyHeader-module__outerWrapper__ZL4Xc FileNameStickyHeader-module__outerWrapperHidden__Zpynk"><div class="FileNameStickyHeader-module__Box_1__Hazu5"><div class="FileNameStickyHeader-module__Box_2__hoolP"><div class="FileNameStickyHeader-module__Box_3__MVKsk"><button data-component="Button" type="button" aria-haspopup="true" aria-expanded="false" tabindex="0" aria-label="main branch" data-testid="anchor-button" data-icv-name="Switch branches/tags" class="prc-Button-ButtonBase-9n-Xk ref-selector-class RefSelectorAnchoredOverlay-module__RefSelectorOverlayBtn__a3WK3" data-loading="false" data-size="medium" data-variant="default" id="ref-picker-repos-header-ref-selector"><span data-component="buttonContent" data-align="center" class="prc-Button-ButtonContent-Iohp5"><span data-component="leadingVisual" class="prc-Button-Visual-YNt2F prc-Button-LeadingVisual-UySKu prc-Button-VisualWrap-E4cnq"><svg data-component="Octicon" aria-hidden="true" focusable="false" class="octicon octicon-git-branch" viewBox="0 0 16 16" width="16" height="16" fill="currentColor" display="inline-block" overflow="visible" style="vertical-align:text-bottom"><path d="M9.5 3.25a2.25 2.25 0 1 1 3 2.122V6A2.5 2.5 0 0 1 10 8.5H6a1 1 0 0 0-1 1v1.128a2.251 2.251 0 1 1-1.5 0V5.372a2.25 2.25 0 1 1 1.5 0v1.836A2.493 2.493 0 0 1 6 7h4a1 1 0 0 0 1-1v-.628A2.25 2.25 0 0 1 9.5 3.25Zm-6 0a.75.75 0 1 0 1.5 0 .75.75 0 0 0-1.5 0Zm8.25-.75a.75.75 0 1 0 0 1.5.75.75 0 0 0 0-1.5ZM4.25 12a.75.75 0 1 0 0 1.5.75.75 0 0 0 0-1.5Z"></path></svg></span><span data-component="text" class="prc-Button-Label-FWkx3"><div class="RefSelectorAnchoredOverlay-module__RefSelectorOverlayContainer__yaf4p"><div style="max-width:125px" class="ref-selector-button-text-container RefSelectorAnchoredOverlay-module__RefSelectorBtnTextContainer__Di3rk"><span class="RefSelectorAnchoredOverlay-module__RefSelectorText__w_fmP">main</span></div></div></span><span data-component="trailingVisual" class="prc-Button-Visual-YNt2F prc-Button-VisualWrap-E4cnq"><svg data-component="Octicon" aria-hidden="true" focusable="false" class="octicon octicon-triangle-down" viewBox="0 0 16 16" width="16" height="16" fill="currentColor" display="inline-block" overflow="visible" style="vertical-align:text-bottom"><path d="m4.427 7.427 3.396 3.396a.25.25 0 0 0 .354 0l3.396-3.396A.25.25 0 0 0 11.396 7H4.604a.25.25 0 0 0-.177.427Z"></path></svg></span></span></button><div class="d-none"></div></div><div class="FileNameStickyHeader-module__Box_4__FLhtt"><div class="Breadcrumb-module__container__Vxvev Breadcrumb-module__md__Wb1Gs"><nav data-testid="breadcrumbs" aria-labelledby="sticky-breadcrumb-heading" id="sticky-breadcrumb" class="Breadcrumb-module__nav__rQFDj"><h2 class="sr-only ScreenReaderHeading-module__userSelectNone__rwWIk prc-Heading-Heading-MtWFE" data-component="Heading" data-testid="screen-reader-heading" id="sticky-breadcrumb-heading">Breadcrumbs</h2><ol class="Breadcrumb-module__list__ZH6zr"><li class="Breadcrumb-module__listItem__Ib0x_"><a class="Breadcrumb-module__repoLink__O2Nbs prc-Link-Link-9ZwDx" data-component="Link" data-testid="breadcrumbs-repo-link" href="/laserwang/ML-For-Beginners/tree/main" data-discover="true">ML-For-Beginners</a></li><li class="Breadcrumb-module__listItem__Ib0x_"><span class="Breadcrumb-module__separator__eNwsI Breadcrumb-module__md__Wb1Gs" aria-hidden="true">/</span><a class="Breadcrumb-module__directoryLink__kQy_t prc-Link-Link-9ZwDx" data-component="Link" href="/laserwang/ML-For-Beginners/tree/main/2-Regression" data-discover="true">2-Regression</a></li><li class="Breadcrumb-module__listItem__Ib0x_"><span class="Breadcrumb-module__separator__eNwsI Breadcrumb-module__md__Wb1Gs" aria-hidden="true">/</span><a class="Breadcrumb-module__directoryLink__kQy_t prc-Link-Link-9ZwDx" data-component="Link" href="/laserwang/ML-For-Beginners/tree/main/2-Regression/1-Tools" data-discover="true">1-Tools</a></li></ol></nav><div data-testid="breadcrumbs-filename" class="Breadcrumb-module__filename__equZR"><span class="Breadcrumb-module__separator__eNwsI Breadcrumb-module__md__Wb1Gs" aria-hidden="true">/</span><h1 class="Breadcrumb-module__filenameHeading__MNMtw Breadcrumb-module__md__Wb1Gs prc-Heading-Heading-MtWFE" data-component="Heading" tabindex="-1" id="sticky-file-name-id">README.md</h1></div><button data-component="IconButton" type="button" class="prc-Button-ButtonBase-9n-Xk ml-2 prc-Button-IconButton-fyge7" data-loading="false" data-no-visuals="true" data-size="small" data-variant="invisible" aria-labelledby="_R_7lcpala9lik5_"><svg data-component="Octicon" aria-hidden="true" focusable="false" class="octicon octicon-copy" viewBox="0 0 16 16" width="16" height="16" fill="currentColor" display="inline-block" overflow="visible" style="vertical-align:text-bottom"><path d="M0 6.75C0 5.784.784 5 1.75 5h1.5a.75.75 0 0 1 0 1.5h-1.5a.25.25 0 0 0-.25.25v7.5c0 .138.112.25.25.25h7.5a.25.25 0 0 0 .25-.25v-1.5a.75.75 0 0 1 1.5 0v1.5A1.75 1.75 0 0 1 9.25 16h-7.5A1.75 1.75 0 0 1 0 14.25Z"></path><path d="M5 1.75C5 .784 5.784 0 6.75 0h7.5C15.216 0 16 .784 16 1.75v7.5A1.75 1.75 0 0 1 14.25 11h-7.5A1.75 1.75 0 0 1 5 9.25Zm1.75-.25a.25.25 0 0 0-.25.25v7.5c0 .138.112.25.25.25h7.5a.25.25 0 0 0 .25-.25v-7.5a.25.25 0 0 0-.25-.25Z"></path></svg></button><span class="CopyToClipboardIconButton-module__tooltip__WyiwL prc-TooltipV2-Tooltip-tLeuB" data-direction="s" data-component="Tooltip" aria-label="Copy path" aria-hidden="true" id="_R_7lcpala9lik5_">Copy path</span></div></div></div><button data-component="Button" type="button" class="prc-Button-ButtonBase-9n-Xk FileNameStickyHeader-module__Button__LSEU_ FileNameStickyHeader-module__GoToTopButton__nxAFn" data-loading="false" data-size="small" data-variant="invisible"><span data-component="buttonContent" data-align="center" class="prc-Button-ButtonContent-Iohp5"><span data-component="leadingVisual" class="prc-Button-Visual-YNt2F prc-Button-LeadingVisual-UySKu prc-Button-VisualWrap-E4cnq"><svg data-component="Octicon" aria-hidden="true" focusable="false" class="octicon octicon-arrow-up" viewBox="0 0 16 16" width="16" height="16" fill="currentColor" display="inline-block" overflow="visible" style="vertical-align:text-bottom"><path d="M3.47 7.78a.75.75 0 0 1 0-1.06l4.25-4.25a.75.75 0 0 1 1.06 0l4.25 4.25a.751.751 0 0 1-.018 1.042.751.751 0 0 1-1.042.018L9 4.81v7.44a.75.75 0 0 1-1.5 0V4.81L4.53 7.78a.75.75 0 0 1-1.06 0Z"></path></svg></span><span data-component="text" class="prc-Button-Label-FWkx3">Top</span></span></button></div></div></div><div class="BlobViewHeader-module__Box_1__VEmuQ"><h2 class="sr-only ScreenReaderHeading-module__userSelectNone__rwWIk prc-Heading-Heading-MtWFE" data-component="Heading" data-testid="screen-reader-heading">File metadata and controls</h2><div class="BlobViewHeader-module__Box_2__icUs2"><ul aria-label="File view" class="prc-SegmentedControl-SegmentedControl-lqIXp BlobTabButtons-module__SegmentedControl__jen2u" data-variant="default" data-size="small" data-component="SegmentedControl"><li class="prc-SegmentedControl-Item-tSCQh" data-selected="" data-component="SegmentedControl.Button"><button aria-pressed="true" class="prc-SegmentedControl-Button-E48xz" type="button" style="--separator-color:transparent"><span class="prc-SegmentedControl-Content-1COlk segmentedControl-content"><div class="prc-SegmentedControl-Text-7S2y2 segmentedControl-text" data-text="Preview">Preview</div></span></button></li><li class="prc-SegmentedControl-Item-tSCQh" data-component="SegmentedControl.Button"><button aria-pressed="false" class="prc-SegmentedControl-Button-E48xz" type="button" style="--separator-color:var(--borderColor-default)"><span class="prc-SegmentedControl-Content-1COlk segmentedControl-content"><div class="prc-SegmentedControl-Text-7S2y2 segmentedControl-text" data-text="Code">Code</div></span></button></li><li class="prc-SegmentedControl-Item-tSCQh" data-component="SegmentedControl.Button"><button aria-pressed="false" class="prc-SegmentedControl-Button-E48xz" type="button" style="--separator-color:var(--borderColor-default)"><span class="prc-SegmentedControl-Content-1COlk segmentedControl-content"><div class="prc-SegmentedControl-Text-7S2y2 segmentedControl-text" data-text="Blame">Blame</div></span></button></li></ul><div class="d-none"></div><div class="react-code-size-details-in-header CodeSizeDetails-module__Box__VcD6l"><div class="text-mono CodeSizeDetails-module__Box_1__GVxQL"><div data-testid="blob-size" class="CodeSizeDetails-module__Truncate_1__lE93V prc-Truncate-Truncate-2G1eo" data-inline="true" title="14.1 KB" style="--truncate-max-width:100%"><span>226 lines (136 loc) · 14.1 KB</span></div></div></div></div><div class="BlobViewHeader-module__Box_3__ng6v2"><div class="d-none"></div><div class="react-blob-header-edit-and-raw-actions BlobViewHeader-module__Box_4__J4Y4W"><div class="d-none"></div><div class="prc-ButtonGroup-ButtonGroup-vFUrY" data-component="ButtonGroup"><div class="prc-ButtonGroup-Item-PqvDl"><a data-component="LinkButton" href="https://github.com/laserwang/ML-For-Beginners/raw/refs/heads/main/2-Regression/1-Tools/README.md" data-testid="raw-button" class="prc-Button-ButtonBase-9n-Xk LinkButton-module__linkButton__nFnov BlobViewHeader-module__LinkButton__X9kx2" data-loading="false" data-no-visuals="true" data-size="small" data-variant="default"><span data-component="buttonContent" data-align="center" class="prc-Button-ButtonContent-Iohp5"><span data-component="text" class="prc-Button-Label-FWkx3">Raw</span></span></a></div><div class="prc-ButtonGroup-Item-PqvDl"><button data-component="IconButton" type="button" data-testid="copy-raw-button" class="prc-Button-ButtonBase-9n-Xk prc-Button-IconButton-fyge7" data-loading="false" data-no-visuals="true" data-size="small" data-variant="default" aria-labelledby="_R_qaucpala9lik5_"><svg data-component="Octicon" aria-hidden="true" focusable="false" class="octicon octicon-copy" viewBox="0 0 16 16" width="16" height="16" fill="currentColor" display="inline-block" overflow="visible" style="vertical-align:text-bottom"><path d="M0 6.75C0 5.784.784 5 1.75 5h1.5a.75.75 0 0 1 0 1.5h-1.5a.25.25 0 0 0-.25.25v7.5c0 .138.112.25.25.25h7.5a.25.25 0 0 0 .25-.25v-1.5a.75.75 0 0 1 1.5 0v1.5A1.75 1.75 0 0 1 9.25 16h-7.5A1.75 1.75 0 0 1 0 14.25Z"></path><path d="M5 1.75C5 .784 5.784 0 6.75 0h7.5C15.216 0 16 .784 16 1.75v7.5A1.75 1.75 0 0 1 14.25 11h-7.5A1.75 1.75 0 0 1 5 9.25Zm1.75-.25a.25.25 0 0 0-.25.25v7.5c0 .138.112.25.25.25h7.5a.25.25 0 0 0 .25-.25v-7.5a.25.25 0 0 0-.25-.25Z"></path></svg></button><span class="prc-TooltipV2-Tooltip-tLeuB" data-direction="n" data-component="Tooltip" aria-hidden="true" id="_R_qaucpala9lik5_">Copy raw file</span></div><div class="prc-ButtonGroup-Item-PqvDl"><button data-component="IconButton" type="button" data-testid="download-raw-button" class="prc-Button-ButtonBase-9n-Xk BlobViewHeader-module__downloadButton__ef459 prc-Button-IconButton-fyge7" data-loading="false" data-no-visuals="true" data-size="small" data-variant="default" aria-labelledby="_R_eaucpala9lik5_"><svg data-component="Octicon" aria-hidden="true" focusable="false" class="octicon octicon-download" viewBox="0 0 16 16" width="16" height="16" fill="currentColor" display="inline-block" overflow="visible" style="vertical-align:text-bottom"><path d="M2.75 14A1.75 1.75 0 0 1 1 12.25v-2.5a.75.75 0 0 1 1.5 0v2.5c0 .138.112.25.25.25h10.5a.25.25 0 0 0 .25-.25v-2.5a.75.75 0 0 1 1.5 0v2.5A1.75 1.75 0 0 1 13.25 14Z"></path><path d="M7.25 7.689V2a.75.75 0 0 1 1.5 0v5.689l1.97-1.969a.749.749 0 1 1 1.06 1.06l-3.25 3.25a.749.749 0 0 1-1.06 0L4.22 6.78a.749.749 0 1 1 1.06-1.06l1.97 1.969Z"></path></svg></button><span class="prc-TooltipV2-Tooltip-tLeuB" data-direction="n" data-component="Tooltip" aria-hidden="true" id="_R_eaucpala9lik5_">Download raw file</span></div></div></div><button data-component="IconButton" type="button" aria-pressed="false" class="prc-Button-ButtonBase-9n-Xk tmp-mr-2 TableOfContents-module__IconButton__jrlNM prc-Button-IconButton-fyge7" data-loading="false" data-no-visuals="true" data-size="small" data-variant="invisible" aria-labelledby="_R_3ucpala9lik5_"><svg data-component="Octicon" aria-hidden="true" focusable="false" class="octicon octicon-list-unordered" viewBox="0 0 16 16" width="16" height="16" fill="currentColor" display="inline-block" overflow="visible" style="vertical-align:text-bottom"><path d="M5.75 2.5h8.5a.75.75 0 0 1 0 1.5h-8.5a.75.75 0 0 1 0-1.5Zm0 5h8.5a.75.75 0 0 1 0 1.5h-8.5a.75.75 0 0 1 0-1.5Zm0 5h8.5a.75.75 0 0 1 0 1.5h-8.5a.75.75 0 0 1 0-1.5ZM2 14a1 1 0 1 1 0-2 1 1 0 0 1 0 2Zm1-6a1 1 0 1 1-2 0 1 1 0 0 1 2 0ZM2 4a1 1 0 1 1 0-2 1 1 0 0 1 0 2Z"></path></svg></button><span class="prc-TooltipV2-Tooltip-tLeuB" data-direction="n" data-component="Tooltip" aria-hidden="true" id="_R_3ucpala9lik5_">Outline</span><div class="react-blob-header-edit-and-raw-actions-combined"><button data-component="IconButton" type="button" title="More file actions" data-testid="more-file-actions-button" aria-haspopup="true" aria-expanded="false" tabindex="0" class="prc-Button-ButtonBase-9n-Xk js-blob-dropdown-click BlobViewHeader-module__IconButton__XrMQY prc-Button-IconButton-fyge7" data-loading="false" data-no-visuals="true" data-size="small" data-variant="invisible" aria-labelledby="_R_fkecpala9lik5_" id="_R_kecpala9lik5_"><svg data-component="Octicon" aria-hidden="true" focusable="false" class="octicon octicon-kebab-horizontal" viewBox="0 0 16 16" width="16" height="16" fill="currentColor" display="inline-block" overflow="visible" style="vertical-align:text-bottom"><path d="M8 9a1.5 1.5 0 1 0 0-3 1.5 1.5 0 0 0 0 3ZM1.5 9a1.5 1.5 0 1 0 0-3 1.5 1.5 0 0 0 0 3Zm13 0a1.5 1.5 0 1 0 0-3 1.5 1.5 0 0 0 0 3Z"></path></svg></button><span class="prc-TooltipV2-Tooltip-tLeuB" data-direction="nw" data-component="Tooltip" aria-hidden="true" id="_R_fkecpala9lik5_">Edit and raw actions</span></div></div></div></div><div></div></div><div class="BlobViewContent-module__blobContentWrapper__JS0W6"><section aria-labelledby="file-name-id-wide file-name-id-mobile" class="BlobContent-module__blobContentSection__VOgZq BlobContent-module__blobContentSectionMarkdown__mPLOK" style="margin-top:46px"><div class="js-snippet-clipboard-copy-unpositioned BlobContent-module__markdownBlob__T8jpG" data-hpc="true" containertiming="hpc"><article class="markdown-body entry-content container-lg" itemprop="text"><div class="markdown-heading" dir="auto"><h1 tabindex="-1" class="heading-element" dir="auto">Get started with Python and Scikit-learn for regression models</h1><a id="user-content-get-started-with-python-and-scikit-learn-for-regression-models" class="anchor" aria-label="Permalink: Get started with Python and Scikit-learn for regression models" href="#get-started-with-python-and-scikit-learn-for-regression-models"><svg data-component="Octicon" class="octicon octicon-link" viewBox="0 0 16 16" version="1.1" width="16" height="16" aria-hidden="true"><path d="m7.775 3.275 1.25-1.25a3.5 3.5 0 1 1 4.95 4.95l-2.5 2.5a3.5 3.5 0 0 1-4.95 0 .751.751 0 0 1 .018-1.042.751.751 0 0 1 1.042-.018 1.998 1.998 0 0 0 2.83 0l2.5-2.5a2.002 2.002 0 0 0-2.83-2.83l-1.25 1.25a.751.751 0 0 1-1.042-.018.751.751 0 0 1-.018-1.042Zm-4.69 9.64a1.998 1.998 0 0 0 2.83 0l1.25-1.25a.751.751 0 0 1 1.042.018.751.751 0 0 1 .018 1.042l-1.25 1.25a3.5 3.5 0 1 1-4.95-4.95l2.5-2.5a3.5 3.5 0 0 1 4.95 0 .751.751 0 0 1-.018 1.042.751.751 0 0 1-1.042.018 1.998 1.998 0 0 0-2.83 0l-2.5 2.5a1.998 1.998 0 0 0 0 2.83Z"></path></svg></a></div>
<p dir="auto"><a target="_blank" rel="noopener noreferrer" href="/laserwang/ML-For-Beginners/blob/main/sketchnotes/ml-regression.png"><img src="/laserwang/ML-For-Beginners/raw/main/sketchnotes/ml-regression.png" alt="Summary of regressions in a sketchnote" style="max-width: 100%;"></a></p>
<blockquote>
<p dir="auto">Sketchnote by <a href="https://www.twitter.com/girlie_mac" rel="nofollow">Tomomi Imura</a></p>
</blockquote>
<div class="markdown-heading" dir="auto"><h2 tabindex="-1" class="heading-element" dir="auto"><a href="https://ff-quizzes.netlify.app/en/ml/" rel="nofollow">Pre-lecture quiz</a></h2><a id="user-content-pre-lecture-quiz" class="anchor" aria-label="Permalink: Pre-lecture quiz" href="#pre-lecture-quiz"><svg data-component="Octicon" class="octicon octicon-link" viewBox="0 0 16 16" version="1.1" width="16" height="16" aria-hidden="true"><path d="m7.775 3.275 1.25-1.25a3.5 3.5 0 1 1 4.95 4.95l-2.5 2.5a3.5 3.5 0 0 1-4.95 0 .751.751 0 0 1 .018-1.042.751.751 0 0 1 1.042-.018 1.998 1.998 0 0 0 2.83 0l2.5-2.5a2.002 2.002 0 0 0-2.83-2.83l-1.25 1.25a.751.751 0 0 1-1.042-.018.751.751 0 0 1-.018-1.042Zm-4.69 9.64a1.998 1.998 0 0 0 2.83 0l1.25-1.25a.751.751 0 0 1 1.042.018.751.751 0 0 1 .018 1.042l-1.25 1.25a3.5 3.5 0 1 1-4.95-4.95l2.5-2.5a3.5 3.5 0 0 1 4.95 0 .751.751 0 0 1-.018 1.042.751.751 0 0 1-1.042.018 1.998 1.998 0 0 0-2.83 0l-2.5 2.5a1.998 1.998 0 0 0 0 2.83Z"></path></svg></a></div>
<blockquote>
<div class="markdown-heading" dir="auto"><h3 tabindex="-1" class="heading-element" dir="auto"><a href="/laserwang/ML-For-Beginners/blob/main/2-Regression/1-Tools/solution/R/lesson_1.html">This lesson is available in R!</a></h3><a id="user-content-this-lesson-is-available-in-r" class="anchor" aria-label="Permalink: This lesson is available in R!" href="#this-lesson-is-available-in-r"><svg data-component="Octicon" class="octicon octicon-link" viewBox="0 0 16 16" version="1.1" width="16" height="16" aria-hidden="true"><path d="m7.775 3.275 1.25-1.25a3.5 3.5 0 1 1 4.95 4.95l-2.5 2.5a3.5 3.5 0 0 1-4.95 0 .751.751 0 0 1 .018-1.042.751.751 0 0 1 1.042-.018 1.998 1.998 0 0 0 2.83 0l2.5-2.5a2.002 2.002 0 0 0-2.83-2.83l-1.25 1.25a.751.751 0 0 1-1.042-.018.751.751 0 0 1-.018-1.042Zm-4.69 9.64a1.998 1.998 0 0 0 2.83 0l1.25-1.25a.751.751 0 0 1 1.042.018.751.751 0 0 1 .018 1.042l-1.25 1.25a3.5 3.5 0 1 1-4.95-4.95l2.5-2.5a3.5 3.5 0 0 1 4.95 0 .751.751 0 0 1-.018 1.042.751.751 0 0 1-1.042.018 1.998 1.998 0 0 0-2.83 0l-2.5 2.5a1.998 1.998 0 0 0 0 2.83Z"></path></svg></a></div>
</blockquote>
<div class="markdown-heading" dir="auto"><h2 tabindex="-1" class="heading-element" dir="auto">Introduction</h2><a id="user-content-introduction" class="anchor" aria-label="Permalink: Introduction" href="#introduction"><svg data-component="Octicon" class="octicon octicon-link" viewBox="0 0 16 16" version="1.1" width="16" height="16" aria-hidden="true"><path d="m7.775 3.275 1.25-1.25a3.5 3.5 0 1 1 4.95 4.95l-2.5 2.5a3.5 3.5 0 0 1-4.95 0 .751.751 0 0 1 .018-1.042.751.751 0 0 1 1.042-.018 1.998 1.998 0 0 0 2.83 0l2.5-2.5a2.002 2.002 0 0 0-2.83-2.83l-1.25 1.25a.751.751 0 0 1-1.042-.018.751.751 0 0 1-.018-1.042Zm-4.69 9.64a1.998 1.998 0 0 0 2.83 0l1.25-1.25a.751.751 0 0 1 1.042.018.751.751 0 0 1 .018 1.042l-1.25 1.25a3.5 3.5 0 1 1-4.95-4.95l2.5-2.5a3.5 3.5 0 0 1 4.95 0 .751.751 0 0 1-.018 1.042.751.751 0 0 1-1.042.018 1.998 1.998 0 0 0-2.83 0l-2.5 2.5a1.998 1.998 0 0 0 0 2.83Z"></path></svg></a></div>
<p dir="auto">In these four lessons, you will discover how to build regression models. We will discuss what these are for shortly. But before you do anything, make sure you have the right tools in place to start the process!</p>
<p dir="auto">In this lesson, you will learn how to:</p>
<ul dir="auto">
<li>Configure your computer for local machine learning tasks.</li>
<li>Work with Jupyter notebooks.</li>
<li>Use Scikit-learn, including installation.</li>
<li>Explore linear regression with a hands-on exercise.</li>
</ul>
<div class="markdown-heading" dir="auto"><h2 tabindex="-1" class="heading-element" dir="auto">Installations and configurations</h2><a id="user-content-installations-and-configurations" class="anchor" aria-label="Permalink: Installations and configurations" href="#installations-and-configurations"><svg data-component="Octicon" class="octicon octicon-link" viewBox="0 0 16 16" version="1.1" width="16" height="16" aria-hidden="true"><path d="m7.775 3.275 1.25-1.25a3.5 3.5 0 1 1 4.95 4.95l-2.5 2.5a3.5 3.5 0 0 1-4.95 0 .751.751 0 0 1 .018-1.042.751.751 0 0 1 1.042-.018 1.998 1.998 0 0 0 2.83 0l2.5-2.5a2.002 2.002 0 0 0-2.83-2.83l-1.25 1.25a.751.751 0 0 1-1.042-.018.751.751 0 0 1-.018-1.042Zm-4.69 9.64a1.998 1.998 0 0 0 2.83 0l1.25-1.25a.751.751 0 0 1 1.042.018.751.751 0 0 1 .018 1.042l-1.25 1.25a3.5 3.5 0 1 1-4.95-4.95l2.5-2.5a3.5 3.5 0 0 1 4.95 0 .751.751 0 0 1-.018 1.042.751.751 0 0 1-1.042.018 1.998 1.998 0 0 0-2.83 0l-2.5 2.5a1.998 1.998 0 0 0 0 2.83Z"></path></svg></a></div>
<p dir="auto"><a href="https://youtu.be/-DfeD2k2Kj0" title="ML for beginners -Setup your tools ready to build Machine Learning models" rel="nofollow"><img src="https://camo.githubusercontent.com/cfe6da7a53fc1f300b6537f592f23be63ced5f5e758f334173ad98c8ff9dae5f/68747470733a2f2f696d672e796f75747562652e636f6d2f76692f2d44666544326b324b6a302f302e6a7067" alt="ML for beginners - Setup your tools ready to build Machine Learning models" data-canonical-src="https://img.youtube.com/vi/-DfeD2k2Kj0/0.jpg" style="max-width: 100%;"></a></p>
<blockquote>
<p dir="auto">🎥 Click the image above for a short video working through configuring your computer for ML.</p>
</blockquote>
<ol dir="auto">
<li>
<p dir="auto"><strong>Install Python</strong>. Ensure that <a href="https://www.python.org/downloads/" rel="nofollow">Python</a> is installed on your computer. You will use Python for many data science and machine learning tasks. Most computer systems already include a Python installation. There are useful <a href="https://code.visualstudio.com/learn/educators/installers?WT.mc_id=academic-77952-leestott" rel="nofollow">Python Coding Packs</a> available as well, to ease the setup for some users.</p>
<p dir="auto">Some usages of Python, however, require one version of the software, whereas others require a different version. For this reason, it's useful to work within a <a href="https://docs.python.org/3/library/venv.html" rel="nofollow">virtual environment</a>.</p>
</li>
<li>
<p dir="auto"><strong>Install Visual Studio Code</strong>. Make sure you have Visual Studio Code installed on your computer. Follow these instructions to <a href="https://code.visualstudio.com/" rel="nofollow">install Visual Studio Code</a> for the basic installation. You are going to use Python in Visual Studio Code in this course, so you might want to brush up on how to <a href="https://docs.microsoft.com/learn/modules/python-install-vscode?WT.mc_id=academic-77952-leestott" rel="nofollow">configure Visual Studio Code</a> for Python development.</p>
<blockquote>
<p dir="auto">Get comfortable with Python by working through this collection of <a href="https://docs.microsoft.com/users/jenlooper-2911/collections/mp1pagggd5qrq7?WT.mc_id=academic-77952-leestott" rel="nofollow">Learn modules</a></p>
<p dir="auto"><a href="https://youtu.be/yyQM70vi7V8" title="Setup Python with Visual Studio Code" rel="nofollow"><img src="https://camo.githubusercontent.com/9c6fc3349020bdf8730603a261858b7ce087e27283e938dbd47aed171a6bffc7/68747470733a2f2f696d672e796f75747562652e636f6d2f76692f7979514d373076693756382f302e6a7067" alt="Setup Python with Visual Studio Code" data-canonical-src="https://img.youtube.com/vi/yyQM70vi7V8/0.jpg" style="max-width: 100%;"></a></p>
<p dir="auto">🎥 Click the image above for a video: using Python within VS Code.</p>
</blockquote>
</li>
<li>
<p dir="auto"><strong>Install Scikit-learn</strong>, by following <a href="https://scikit-learn.org/stable/install.html" rel="nofollow">these instructions</a>. Since you need to ensure that you use Python 3, it's recommended that you use a virtual environment. Note, if you are installing this library on a M1 Mac, there are special instructions on the page linked above.</p>
</li>
<li>
<p dir="auto"><strong>Install Jupyter Notebook</strong>. You will need to <a href="https://pypi.org/project/jupyter/" rel="nofollow">install the Jupyter package</a>.</p>
</li>
</ol>
<div class="markdown-heading" dir="auto"><h2 tabindex="-1" class="heading-element" dir="auto">Your ML authoring environment</h2><a id="user-content-your-ml-authoring-environment" class="anchor" aria-label="Permalink: Your ML authoring environment" href="#your-ml-authoring-environment"><svg data-component="Octicon" class="octicon octicon-link" viewBox="0 0 16 16" version="1.1" width="16" height="16" aria-hidden="true"><path d="m7.775 3.275 1.25-1.25a3.5 3.5 0 1 1 4.95 4.95l-2.5 2.5a3.5 3.5 0 0 1-4.95 0 .751.751 0 0 1 .018-1.042.751.751 0 0 1 1.042-.018 1.998 1.998 0 0 0 2.83 0l2.5-2.5a2.002 2.002 0 0 0-2.83-2.83l-1.25 1.25a.751.751 0 0 1-1.042-.018.751.751 0 0 1-.018-1.042Zm-4.69 9.64a1.998 1.998 0 0 0 2.83 0l1.25-1.25a.751.751 0 0 1 1.042.018.751.751 0 0 1 .018 1.042l-1.25 1.25a3.5 3.5 0 1 1-4.95-4.95l2.5-2.5a3.5 3.5 0 0 1 4.95 0 .751.751 0 0 1-.018 1.042.751.751 0 0 1-1.042.018 1.998 1.998 0 0 0-2.83 0l-2.5 2.5a1.998 1.998 0 0 0 0 2.83Z"></path></svg></a></div>
<p dir="auto">You are going to use <strong>notebooks</strong> to develop your Python code and create machine learning models. This type of file is a common tool for data scientists, and they can be identified by their suffix or extension <code>.ipynb</code>.</p>
<p dir="auto">Notebooks are an interactive environment that allow the developer to both code and add notes and write documentation around the code which is quite helpful for experimental or research-oriented projects.</p>
<p dir="auto"><a href="https://youtu.be/7E-jC8FLA2E" title="ML for beginners - Set up Jupyter Notebooks to start building regression models" rel="nofollow"><img src="https://camo.githubusercontent.com/1dafe5e0405a3377e49d24136bca64930545ed69359e4fc053fff88002e50078/68747470733a2f2f696d672e796f75747562652e636f6d2f76692f37452d6a4338464c4132452f302e6a7067" alt="ML for beginners - Set up Jupyter Notebooks to start building regression models" data-canonical-src="https://img.youtube.com/vi/7E-jC8FLA2E/0.jpg" style="max-width: 100%;"></a></p>
<blockquote>
<p dir="auto">🎥 Click the image above for a short video working through this exercise.</p>
</blockquote>
<div class="markdown-heading" dir="auto"><h3 tabindex="-1" class="heading-element" dir="auto">Exercise - work with a notebook</h3><a id="user-content-exercise---work-with-a-notebook" class="anchor" aria-label="Permalink: Exercise - work with a notebook" href="#exercise---work-with-a-notebook"><svg data-component="Octicon" class="octicon octicon-link" viewBox="0 0 16 16" version="1.1" width="16" height="16" aria-hidden="true"><path d="m7.775 3.275 1.25-1.25a3.5 3.5 0 1 1 4.95 4.95l-2.5 2.5a3.5 3.5 0 0 1-4.95 0 .751.751 0 0 1 .018-1.042.751.751 0 0 1 1.042-.018 1.998 1.998 0 0 0 2.83 0l2.5-2.5a2.002 2.002 0 0 0-2.83-2.83l-1.25 1.25a.751.751 0 0 1-1.042-.018.751.751 0 0 1-.018-1.042Zm-4.69 9.64a1.998 1.998 0 0 0 2.83 0l1.25-1.25a.751.751 0 0 1 1.042.018.751.751 0 0 1 .018 1.042l-1.25 1.25a3.5 3.5 0 1 1-4.95-4.95l2.5-2.5a3.5 3.5 0 0 1 4.95 0 .751.751 0 0 1-.018 1.042.751.751 0 0 1-1.042.018 1.998 1.998 0 0 0-2.83 0l-2.5 2.5a1.998 1.998 0 0 0 0 2.83Z"></path></svg></a></div>
<p dir="auto">In this folder, you will find the file <em>notebook.ipynb</em>.</p>
<ol dir="auto">
<li>
<p dir="auto">Open <em>notebook.ipynb</em> in Visual Studio Code.</p>
<p dir="auto">A Jupyter server will start with Python 3+ started. You will find areas of the notebook that can be <code>run</code>, pieces of code. You can run a code block, by selecting the icon that looks like a play button.</p>
</li>
<li>
<p dir="auto">Select the <code>md</code> icon and add a bit of markdown, and the following text <strong># Welcome to your notebook</strong>.</p>
<p dir="auto">Next, add some Python code.</p>
</li>
<li>
<p dir="auto">Type <strong>print('hello notebook')</strong> in the code block.</p>
</li>
<li>
<p dir="auto">Select the arrow to run the code.</p>
<p dir="auto">You should see the printed statement:</p>
<div class="snippet-clipboard-content notranslate position-relative overflow-auto" data-snippet-clipboard-copy-content="hello notebook"><pre lang="output" class="notranslate"><code>hello notebook
</code></pre></div>
</li>
</ol>
<p dir="auto"><a target="_blank" rel="noopener noreferrer" href="/laserwang/ML-For-Beginners/blob/main/2-Regression/1-Tools/images/notebook.jpg"><img src="/laserwang/ML-For-Beginners/raw/main/2-Regression/1-Tools/images/notebook.jpg" alt="VS Code with a notebook open" style="max-width: 100%;"></a></p>
<p dir="auto">You can interleaf your code with comments to self-document the notebook.</p>
<p dir="auto">✅ Think for a minute how different a web developer's working environment is versus that of a data scientist.</p>
<div class="markdown-heading" dir="auto"><h2 tabindex="-1" class="heading-element" dir="auto">Up and running with Scikit-learn</h2><a id="user-content-up-and-running-with-scikit-learn" class="anchor" aria-label="Permalink: Up and running with Scikit-learn" href="#up-and-running-with-scikit-learn"><svg data-component="Octicon" class="octicon octicon-link" viewBox="0 0 16 16" version="1.1" width="16" height="16" aria-hidden="true"><path d="m7.775 3.275 1.25-1.25a3.5 3.5 0 1 1 4.95 4.95l-2.5 2.5a3.5 3.5 0 0 1-4.95 0 .751.751 0 0 1 .018-1.042.751.751 0 0 1 1.042-.018 1.998 1.998 0 0 0 2.83 0l2.5-2.5a2.002 2.002 0 0 0-2.83-2.83l-1.25 1.25a.751.751 0 0 1-1.042-.018.751.751 0 0 1-.018-1.042Zm-4.69 9.64a1.998 1.998 0 0 0 2.83 0l1.25-1.25a.751.751 0 0 1 1.042.018.751.751 0 0 1 .018 1.042l-1.25 1.25a3.5 3.5 0 1 1-4.95-4.95l2.5-2.5a3.5 3.5 0 0 1 4.95 0 .751.751 0 0 1-.018 1.042.751.751 0 0 1-1.042.018 1.998 1.998 0 0 0-2.83 0l-2.5 2.5a1.998 1.998 0 0 0 0 2.83Z"></path></svg></a></div>
<p dir="auto">Now that Python is set up in your local environment, and you are comfortable with Jupyter notebooks, let's get equally comfortable with Scikit-learn (pronounce it <code>sci</code> as in <code>science</code>). Scikit-learn provides an <a href="https://scikit-learn.org/stable/modules/classes.html#api-ref" rel="nofollow">extensive API</a> to help you perform ML tasks.</p>
<p dir="auto">According to their <a href="https://scikit-learn.org/stable/getting_started.html" rel="nofollow">website</a>, "Scikit-learn is an open source machine learning library that supports supervised and unsupervised learning. It also provides various tools for model fitting, data preprocessing, model selection and evaluation, and many other utilities."</p>
<p dir="auto">In this course, you will use Scikit-learn and other tools to build machine learning models to perform what we call 'traditional machine learning' tasks. We have deliberately avoided neural networks and deep learning, as they are better covered in our forthcoming 'AI for Beginners' curriculum.</p>
<p dir="auto">Scikit-learn makes it straightforward to build models and evaluate them for use. It is primarily focused on using numeric data and contains several ready-made datasets for use as learning tools. It also includes pre-built models for students to try. Let's explore the process of loading prepackaged data and using a built in estimator  first ML model with Scikit-learn with some basic data.</p>
<div class="markdown-heading" dir="auto"><h2 tabindex="-1" class="heading-element" dir="auto">Exercise - your first Scikit-learn notebook</h2><a id="user-content-exercise---your-first-scikit-learn-notebook" class="anchor" aria-label="Permalink: Exercise - your first Scikit-learn notebook" href="#exercise---your-first-scikit-learn-notebook"><svg data-component="Octicon" class="octicon octicon-link" viewBox="0 0 16 16" version="1.1" width="16" height="16" aria-hidden="true"><path d="m7.775 3.275 1.25-1.25a3.5 3.5 0 1 1 4.95 4.95l-2.5 2.5a3.5 3.5 0 0 1-4.95 0 .751.751 0 0 1 .018-1.042.751.751 0 0 1 1.042-.018 1.998 1.998 0 0 0 2.83 0l2.5-2.5a2.002 2.002 0 0 0-2.83-2.83l-1.25 1.25a.751.751 0 0 1-1.042-.018.751.751 0 0 1-.018-1.042Zm-4.69 9.64a1.998 1.998 0 0 0 2.83 0l1.25-1.25a.751.751 0 0 1 1.042.018.751.751 0 0 1 .018 1.042l-1.25 1.25a3.5 3.5 0 1 1-4.95-4.95l2.5-2.5a3.5 3.5 0 0 1 4.95 0 .751.751 0 0 1-.018 1.042.751.751 0 0 1-1.042.018 1.998 1.998 0 0 0-2.83 0l-2.5 2.5a1.998 1.998 0 0 0 0 2.83Z"></path></svg></a></div>
<blockquote>
<p dir="auto">This tutorial was inspired by the <a href="https://scikit-learn.org/stable/auto_examples/linear_model/plot_ols.html#sphx-glr-auto-examples-linear-model-plot-ols-py" rel="nofollow">linear regression example</a> on Scikit-learn's web site.</p>
</blockquote>
<p dir="auto"><a href="https://youtu.be/2xkXL5EUpS0" title="ML for beginners - Your First Linear Regression Project in Python" rel="nofollow"><img src="https://camo.githubusercontent.com/ace25df1c9ac0eb091b220b37a0dac8539eea6cf35c8df6dec29eefb6f076d07/68747470733a2f2f696d672e796f75747562652e636f6d2f76692f32786b584c3545557053302f302e6a7067" alt="ML for beginners - Your First Linear Regression Project in Python" data-canonical-src="https://img.youtube.com/vi/2xkXL5EUpS0/0.jpg" style="max-width: 100%;"></a></p>
<blockquote>
<p dir="auto">🎥 Click the image above for a short video working through this exercise.</p>
</blockquote>
<p dir="auto">In the <em>notebook.ipynb</em> file associated to this lesson, clear out all the cells by pressing the 'trash can' icon.</p>
<p dir="auto">In this section, you will work with a small dataset about diabetes that is built into Scikit-learn for learning purposes. Imagine that you wanted to test a treatment for diabetic patients. Machine Learning models might help you determine which patients would respond better to the treatment, based on combinations of variables. Even a very basic regression model, when visualized, might show information about variables that would help you organize your theoretical clinical trials.</p>
<p dir="auto">✅ There are many types of regression methods, and which one you pick depends on the answer you're looking for. If you want to predict the probable height for a person of a given age, you'd use linear regression, as you're seeking a <strong>numeric value</strong>. If you're interested in discovering whether a type of cuisine should be considered vegan or not, you're looking for a <strong>category assignment</strong> so you would use logistic regression. You'll learn more about logistic regression later. Think a bit about some questions you can ask of data, and which of these methods would be more appropriate.</p>
<p dir="auto">Let's get started on this task.</p>
<div class="markdown-heading" dir="auto"><h3 tabindex="-1" class="heading-element" dir="auto">Import libraries</h3><a id="user-content-import-libraries" class="anchor" aria-label="Permalink: Import libraries" href="#import-libraries"><svg data-component="Octicon" class="octicon octicon-link" viewBox="0 0 16 16" version="1.1" width="16" height="16" aria-hidden="true"><path d="m7.775 3.275 1.25-1.25a3.5 3.5 0 1 1 4.95 4.95l-2.5 2.5a3.5 3.5 0 0 1-4.95 0 .751.751 0 0 1 .018-1.042.751.751 0 0 1 1.042-.018 1.998 1.998 0 0 0 2.83 0l2.5-2.5a2.002 2.002 0 0 0-2.83-2.83l-1.25 1.25a.751.751 0 0 1-1.042-.018.751.751 0 0 1-.018-1.042Zm-4.69 9.64a1.998 1.998 0 0 0 2.83 0l1.25-1.25a.751.751 0 0 1 1.042.018.751.751 0 0 1 .018 1.042l-1.25 1.25a3.5 3.5 0 1 1-4.95-4.95l2.5-2.5a3.5 3.5 0 0 1 4.95 0 .751.751 0 0 1-.018 1.042.751.751 0 0 1-1.042.018 1.998 1.998 0 0 0-2.83 0l-2.5 2.5a1.998 1.998 0 0 0 0 2.83Z"></path></svg></a></div>
<p dir="auto">For this task we will import some libraries:</p>
<ul dir="auto">
<li><strong>matplotlib</strong>. It's a useful <a href="https://matplotlib.org/" rel="nofollow">graphing tool</a> and we will use it to create a line plot.</li>
<li><strong>numpy</strong>. <a href="https://numpy.org/doc/stable/user/whatisnumpy.html" rel="nofollow">numpy</a> is a useful library for handling numeric data in Python.</li>
<li><strong>sklearn</strong>. This is the <a href="https://scikit-learn.org/stable/user_guide.html" rel="nofollow">Scikit-learn</a> library.</li>
</ul>
<p dir="auto">Import some libraries to help with your tasks.</p>
<ol dir="auto">
<li>
<p dir="auto">Add imports by typing the following code:</p>
<div class="highlight highlight-source-python notranslate position-relative overflow-auto" dir="auto" data-snippet-clipboard-copy-content="import matplotlib.pyplot as plt
import numpy as np
from sklearn import datasets, linear_model, model_selection"><pre><span class="pl-k">import</span> <span class="pl-s1">matplotlib</span>.<span class="pl-s1">pyplot</span> <span class="pl-k">as</span> <span class="pl-s1">plt</span>
<span class="pl-k">import</span> <span class="pl-s1">numpy</span> <span class="pl-k">as</span> <span class="pl-s1">np</span>
<span class="pl-k">from</span> <span class="pl-s1">sklearn</span> <span class="pl-k">import</span> <span class="pl-s1">datasets</span>, <span class="pl-s1">linear_model</span>, <span class="pl-s1">model_selection</span></pre></div>
<p dir="auto">Above you are importing <code>matplotlib</code>, <code>numpy</code> and you are importing <code>datasets</code>, <code>linear_model</code> and <code>model_selection</code> from <code>sklearn</code>. <code>model_selection</code> is used for splitting data into training and test sets.</p>
</li>
</ol>
<div class="markdown-heading" dir="auto"><h3 tabindex="-1" class="heading-element" dir="auto">The diabetes dataset</h3><a id="user-content-the-diabetes-dataset" class="anchor" aria-label="Permalink: The diabetes dataset" href="#the-diabetes-dataset"><svg data-component="Octicon" class="octicon octicon-link" viewBox="0 0 16 16" version="1.1" width="16" height="16" aria-hidden="true"><path d="m7.775 3.275 1.25-1.25a3.5 3.5 0 1 1 4.95 4.95l-2.5 2.5a3.5 3.5 0 0 1-4.95 0 .751.751 0 0 1 .018-1.042.751.751 0 0 1 1.042-.018 1.998 1.998 0 0 0 2.83 0l2.5-2.5a2.002 2.002 0 0 0-2.83-2.83l-1.25 1.25a.751.751 0 0 1-1.042-.018.751.751 0 0 1-.018-1.042Zm-4.69 9.64a1.998 1.998 0 0 0 2.83 0l1.25-1.25a.751.751 0 0 1 1.042.018.751.751 0 0 1 .018 1.042l-1.25 1.25a3.5 3.5 0 1 1-4.95-4.95l2.5-2.5a3.5 3.5 0 0 1 4.95 0 .751.751 0 0 1-.018 1.042.751.751 0 0 1-1.042.018 1.998 1.998 0 0 0-2.83 0l-2.5 2.5a1.998 1.998 0 0 0 0 2.83Z"></path></svg></a></div>
<p dir="auto">The built-in <a href="https://scikit-learn.org/stable/datasets/toy_dataset.html#diabetes-dataset" rel="nofollow">diabetes dataset</a> includes 442 samples of data around diabetes, with 10 feature variables, some of which include:</p>
<ul dir="auto">
<li>age: age in years</li>
<li>bmi: body mass index</li>
<li>bp: average blood pressure</li>
<li>s1 tc: T-Cells (a type of white blood cells)</li>
</ul>
<p dir="auto">✅ This dataset includes the concept of 'sex' as a feature variable important to research around diabetes. Many medical datasets include this type of binary classification. Think a bit about how categorizations such as this might exclude certain parts of a population from treatments.</p>
<p dir="auto">Now, load up the X and y data.</p>
<blockquote>
<p dir="auto">🎓 Remember, this is supervised learning, and we need a named 'y' target.</p>
</blockquote>
<p dir="auto">In a new code cell, load the diabetes dataset by calling <code>load_diabetes()</code>. The input <code>return_X_y=True</code> signals that <code>X</code> will be a data matrix, and <code>y</code> will be the regression target.</p>
<ol dir="auto">
<li>
<p dir="auto">Add some print commands to show the shape of the data matrix and its first element:</p>
<div class="highlight highlight-source-python notranslate position-relative overflow-auto" dir="auto" data-snippet-clipboard-copy-content="X, y = datasets.load_diabetes(return_X_y=True)
print(X.shape)
print(X[0])"><pre><span class="pl-c1">X</span>, <span class="pl-s1">y</span> <span class="pl-c1">=</span> <span class="pl-s1">datasets</span>.<span class="pl-c1">load_diabetes</span>(<span class="pl-s1">return_X_y</span><span class="pl-c1">=</span><span class="pl-c1">True</span>)
<span class="pl-en">print</span>(<span class="pl-c1">X</span>.<span class="pl-c1">shape</span>)
<span class="pl-en">print</span>(<span class="pl-c1">X</span>[<span class="pl-c1">0</span>])</pre></div>
<p dir="auto">What you are getting back as a response, is a tuple. What you are doing is to assign the two first values of the tuple to <code>X</code> and <code>y</code> respectively. Learn more <a href="https://wikipedia.org/wiki/Tuple" rel="nofollow">about tuples</a>.</p>
<p dir="auto">You can see that this data has 442 items shaped in arrays of 10 elements:</p>
<div class="snippet-clipboard-content notranslate position-relative overflow-auto" data-snippet-clipboard-copy-content="(442, 10)
[ 0.03807591  0.05068012  0.06169621  0.02187235 -0.0442235  -0.03482076
-0.04340085 -0.00259226  0.01990842 -0.01764613]"><pre lang="text" class="notranslate"><code>(442, 10)
[ 0.03807591  0.05068012  0.06169621  0.02187235 -0.0442235  -0.03482076
-0.04340085 -0.00259226  0.01990842 -0.01764613]
</code></pre></div>
<p dir="auto">✅ Think a bit about the relationship between the data and the regression target. Linear regression predicts relationships between feature X and target variable y. Can you find the <a href="https://scikit-learn.org/stable/datasets/toy_dataset.html#diabetes-dataset" rel="nofollow">target</a> for the diabetes dataset in the documentation? What is this dataset demonstrating, given that target?</p>
</li>
<li>
<p dir="auto">Next, select a portion of this dataset to plot by selecting the 3rd column of the dataset. You can do this by using the <code>:</code> operator to select all rows, and then selecting the 3rd column using the index (2). You can also reshape the data to be a 2D array - as required for plotting - by using <code>reshape(n_rows, n_columns)</code>. If one of the parameter is -1, the corresponding dimension is calculated automatically.</p>
<div class="highlight highlight-source-python notranslate position-relative overflow-auto" dir="auto" data-snippet-clipboard-copy-content="X = X[:, 2]
X = X.reshape((-1,1))"><pre><span class="pl-c1">X</span> <span class="pl-c1">=</span> <span class="pl-c1">X</span>[:, <span class="pl-c1">2</span>]
<span class="pl-c1">X</span> <span class="pl-c1">=</span> <span class="pl-c1">X</span>.<span class="pl-c1">reshape</span>((<span class="pl-c1">-</span><span class="pl-c1">1</span>,<span class="pl-c1">1</span>))</pre></div>
<p dir="auto">✅ At any time, print out the data to check its shape.</p>
</li>
<li>
<p dir="auto">Now that you have data ready to be plotted, you can see if a machine can help determine a logical split between the numbers in this dataset. To do this, you need to split both the data (X) and the target (y) into test and training sets. Scikit-learn has a straightforward way to do this; you can split your test data at a given point.</p>
<div class="highlight highlight-source-python notranslate position-relative overflow-auto" dir="auto" data-snippet-clipboard-copy-content="X_train, X_test, y_train, y_test = model_selection.train_test_split(X, y, test_size=0.33)"><pre><span class="pl-v">X_train</span>, <span class="pl-v">X_test</span>, <span class="pl-s1">y_train</span>, <span class="pl-s1">y_test</span> <span class="pl-c1">=</span> <span class="pl-s1">model_selection</span>.<span class="pl-c1">train_test_split</span>(<span class="pl-c1">X</span>, <span class="pl-s1">y</span>, <span class="pl-s1">test_size</span><span class="pl-c1">=</span><span class="pl-c1">0.33</span>)</pre></div>
</li>
<li>
<p dir="auto">Now you are ready to train your model! Load up the linear regression model and train it with your X and y training sets using <code>model.fit()</code>:</p>
<div class="highlight highlight-source-python notranslate position-relative overflow-auto" dir="auto" data-snippet-clipboard-copy-content="model = linear_model.LinearRegression()
model.fit(X_train, y_train)"><pre><span class="pl-s1">model</span> <span class="pl-c1">=</span> <span class="pl-s1">linear_model</span>.<span class="pl-c1">LinearRegression</span>()
<span class="pl-s1">model</span>.<span class="pl-c1">fit</span>(<span class="pl-v">X_train</span>, <span class="pl-s1">y_train</span>)</pre></div>
<p dir="auto">✅ <code>model.fit()</code> is a function you'll see in many ML libraries such as TensorFlow</p>
</li>
<li>
<p dir="auto">Then, create a prediction using test data, using the function <code>predict()</code>. This will be used to draw the line between data groups</p>
<div class="highlight highlight-source-python notranslate position-relative overflow-auto" dir="auto" data-snippet-clipboard-copy-content="y_pred = model.predict(X_test)"><pre><span class="pl-s1">y_pred</span> <span class="pl-c1">=</span> <span class="pl-s1">model</span>.<span class="pl-c1">predict</span>(<span class="pl-v">X_test</span>)</pre></div>
</li>
<li>
<p dir="auto">Now it's time to show the data in a plot. Matplotlib is a very useful tool for this task. Create a scatterplot of all the X and y test data, and use the prediction to draw a line in the most appropriate place, between the model's data groupings.</p>
<div class="highlight highlight-source-python notranslate position-relative overflow-auto" dir="auto" data-snippet-clipboard-copy-content="plt.scatter(X_test, y_test,  color='black')
plt.plot(X_test, y_pred, color='blue', linewidth=3)
plt.xlabel('Scaled BMIs')
plt.ylabel('Disease Progression')
plt.title('A Graph Plot Showing Diabetes Progression Against BMI')
plt.show()"><pre><span class="pl-s1">plt</span>.<span class="pl-c1">scatter</span>(<span class="pl-v">X_test</span>, <span class="pl-s1">y_test</span>,  <span class="pl-s1">color</span><span class="pl-c1">=</span><span class="pl-s">'black'</span>)
<span class="pl-s1">plt</span>.<span class="pl-c1">plot</span>(<span class="pl-v">X_test</span>, <span class="pl-s1">y_pred</span>, <span class="pl-s1">color</span><span class="pl-c1">=</span><span class="pl-s">'blue'</span>, <span class="pl-s1">linewidth</span><span class="pl-c1">=</span><span class="pl-c1">3</span>)
<span class="pl-s1">plt</span>.<span class="pl-c1">xlabel</span>(<span class="pl-s">'Scaled BMIs'</span>)
<span class="pl-s1">plt</span>.<span class="pl-c1">ylabel</span>(<span class="pl-s">'Disease Progression'</span>)
<span class="pl-s1">plt</span>.<span class="pl-c1">title</span>(<span class="pl-s">'A Graph Plot Showing Diabetes Progression Against BMI'</span>)
<span class="pl-s1">plt</span>.<span class="pl-c1">show</span>()</pre></div>
<p dir="auto"><a target="_blank" rel="noopener noreferrer" href="/laserwang/ML-For-Beginners/blob/main/2-Regression/1-Tools/images/scatterplot.png"><img src="/laserwang/ML-For-Beginners/raw/main/2-Regression/1-Tools/images/scatterplot.png" alt="a scatterplot showing datapoints around diabetes" style="max-width: 100%;"></a></p>
<p dir="auto">✅ Think a bit about what's going on here. A straight line is running through many small dots of data, but what is it doing exactly? Can you see how you should be able to use this line to predict where a new, unseen data point should fit in relationship to the plot's y axis? Try to put into words the practical use of this model.</p>
</li>
</ol>
<p dir="auto">Congratulations, you built your first linear regression model, created a prediction with it, and displayed it in a plot!</p>
<hr>
<div class="markdown-heading" dir="auto"><h2 tabindex="-1" class="heading-element" dir="auto">🚀Challenge</h2><a id="user-content-challenge" class="anchor" aria-label="Permalink: 🚀Challenge" href="#challenge"><svg data-component="Octicon" class="octicon octicon-link" viewBox="0 0 16 16" version="1.1" width="16" height="16" aria-hidden="true"><path d="m7.775 3.275 1.25-1.25a3.5 3.5 0 1 1 4.95 4.95l-2.5 2.5a3.5 3.5 0 0 1-4.95 0 .751.751 0 0 1 .018-1.042.751.751 0 0 1 1.042-.018 1.998 1.998 0 0 0 2.83 0l2.5-2.5a2.002 2.002 0 0 0-2.83-2.83l-1.25 1.25a.751.751 0 0 1-1.042-.018.751.751 0 0 1-.018-1.042Zm-4.69 9.64a1.998 1.998 0 0 0 2.83 0l1.25-1.25a.751.751 0 0 1 1.042.018.751.751 0 0 1 .018 1.042l-1.25 1.25a3.5 3.5 0 1 1-4.95-4.95l2.5-2.5a3.5 3.5 0 0 1 4.95 0 .751.751 0 0 1-.018 1.042.751.751 0 0 1-1.042.018 1.998 1.998 0 0 0-2.83 0l-2.5 2.5a1.998 1.998 0 0 0 0 2.83Z"></path></svg></a></div>
<p dir="auto">Plot a different variable from this dataset. Hint: edit this line: <code>X = X[:,2]</code>. Given this dataset's target, what are you able to discover about the progression of diabetes as a disease?</p>
<div class="markdown-heading" dir="auto"><h2 tabindex="-1" class="heading-element" dir="auto"><a href="https://ff-quizzes.netlify.app/en/ml/" rel="nofollow">Post-lecture quiz</a></h2><a id="user-content-post-lecture-quiz" class="anchor" aria-label="Permalink: Post-lecture quiz" href="#post-lecture-quiz"><svg data-component="Octicon" class="octicon octicon-link" viewBox="0 0 16 16" version="1.1" width="16" height="16" aria-hidden="true"><path d="m7.775 3.275 1.25-1.25a3.5 3.5 0 1 1 4.95 4.95l-2.5 2.5a3.5 3.5 0 0 1-4.95 0 .751.751 0 0 1 .018-1.042.751.751 0 0 1 1.042-.018 1.998 1.998 0 0 0 2.83 0l2.5-2.5a2.002 2.002 0 0 0-2.83-2.83l-1.25 1.25a.751.751 0 0 1-1.042-.018.751.751 0 0 1-.018-1.042Zm-4.69 9.64a1.998 1.998 0 0 0 2.83 0l1.25-1.25a.751.751 0 0 1 1.042.018.751.751 0 0 1 .018 1.042l-1.25 1.25a3.5 3.5 0 1 1-4.95-4.95l2.5-2.5a3.5 3.5 0 0 1 4.95 0 .751.751 0 0 1-.018 1.042.751.751 0 0 1-1.042.018 1.998 1.998 0 0 0-2.83 0l-2.5 2.5a1.998 1.998 0 0 0 0 2.83Z"></path></svg></a></div>
<div class="markdown-heading" dir="auto"><h2 tabindex="-1" class="heading-element" dir="auto">Review &amp; Self Study</h2><a id="user-content-review--self-study" class="anchor" aria-label="Permalink: Review &amp; Self Study" href="#review--self-study"><svg data-component="Octicon" class="octicon octicon-link" viewBox="0 0 16 16" version="1.1" width="16" height="16" aria-hidden="true"><path d="m7.775 3.275 1.25-1.25a3.5 3.5 0 1 1 4.95 4.95l-2.5 2.5a3.5 3.5 0 0 1-4.95 0 .751.751 0 0 1 .018-1.042.751.751 0 0 1 1.042-.018 1.998 1.998 0 0 0 2.83 0l2.5-2.5a2.002 2.002 0 0 0-2.83-2.83l-1.25 1.25a.751.751 0 0 1-1.042-.018.751.751 0 0 1-.018-1.042Zm-4.69 9.64a1.998 1.998 0 0 0 2.83 0l1.25-1.25a.751.751 0 0 1 1.042.018.751.751 0 0 1 .018 1.042l-1.25 1.25a3.5 3.5 0 1 1-4.95-4.95l2.5-2.5a3.5 3.5 0 0 1 4.95 0 .751.751 0 0 1-.018 1.042.751.751 0 0 1-1.042.018 1.998 1.998 0 0 0-2.83 0l-2.5 2.5a1.998 1.998 0 0 0 0 2.83Z"></path></svg></a></div>
<p dir="auto">In this tutorial, you worked with simple linear regression, rather than univariate or multiple linear regression. Read a little about the differences between these methods, or take a look at <a href="https://www.coursera.org/lecture/quantifying-relationships-regression-models/linear-vs-nonlinear-categorical-variables-ai2Ef" rel="nofollow">this video</a></p>
<p dir="auto">Read more about the concept of regression and think about what kinds of questions can be answered by this technique. Take this <a href="https://docs.microsoft.com/learn/modules/train-evaluate-regression-models?WT.mc_id=academic-77952-leestott" rel="nofollow">tutorial</a> to deepen your understanding.</p>
<div class="markdown-heading" dir="auto"><h2 tabindex="-1" class="heading-element" dir="auto">Assignment</h2><a id="user-content-assignment" class="anchor" aria-label="Permalink: Assignment" href="#assignment"><svg data-component="Octicon" class="octicon octicon-link" viewBox="0 0 16 16" version="1.1" width="16" height="16" aria-hidden="true"><path d="m7.775 3.275 1.25-1.25a3.5 3.5 0 1 1 4.95 4.95l-2.5 2.5a3.5 3.5 0 0 1-4.95 0 .751.751 0 0 1 .018-1.042.751.751 0 0 1 1.042-.018 1.998 1.998 0 0 0 2.83 0l2.5-2.5a2.002 2.002 0 0 0-2.83-2.83l-1.25 1.25a.751.751 0 0 1-1.042-.018.751.751 0 0 1-.018-1.042Zm-4.69 9.64a1.998 1.998 0 0 0 2.83 0l1.25-1.25a.751.751 0 0 1 1.042.018.751.751 0 0 1 .018 1.042l-1.25 1.25a3.5 3.5 0 1 1-4.95-4.95l2.5-2.5a3.5 3.5 0 0 1 4.95 0 .751.751 0 0 1-.018 1.042.751.751 0 0 1-1.042.018 1.998 1.998 0 0 0-2.83 0l-2.5 2.5a1.998 1.998 0 0 0 0 2.83Z"></path></svg></a></div>
<p dir="auto"><a href="/laserwang/ML-For-Beginners/blob/main/2-Regression/1-Tools/assignment.md">A different dataset</a></p>
</article></div><div class="d-none"></div></section></div></div></div> </div> <!-- --> </div></div></div></div></div></div><div class="ScrollMarksContainer-module__scrollMarksContainer__Eu7uU" id="find-result-marks-container"></div><div class="d-none"></div><div class="d-none"></div></div> <!-- --> <!-- --> </div>
</react-app>




  </div>

</turbo-frame>

    </main>
  </div>

  </div>

          <footer class="footer f6 color-fg-muted color-border-subtle tmp-pt-7 tmp-pb-6 p-responsive" role="contentinfo"  >
  <h2 class='sr-only'>Footer</h2>

  


  <div class="d-flex flex-justify-center flex-items-center flex-column-reverse flex-lg-row flex-wrap flex-lg-nowrap">
    <div class="d-flex flex-items-center flex-shrink-0 mx-2">
      <a aria-label="GitHub Homepage" class="footer-octicon mr-2" href="https://github.com">
        <svg aria-hidden="true" data-component="Octicon" height="24" viewBox="0 0 24 24" version="1.1" width="24" data-view-component="true" class="octicon octicon-mark-github">
    <path d="M10.226 17.284c-2.965-.36-5.054-2.493-5.054-5.256 0-1.123.404-2.336 1.078-3.144-.292-.741-.247-2.314.09-2.965.898-.112 2.111.36 2.83 1.01.853-.269 1.752-.404 2.853-.404 1.1 0 1.999.135 2.807.382.696-.629 1.932-1.1 2.83-.988.315.606.36 2.179.067 2.942.72.854 1.101 2 1.101 3.167 0 2.763-2.089 4.852-5.098 5.234.763.494 1.28 1.572 1.28 2.807v2.336c0 .674.561 1.056 1.235.786 4.066-1.55 7.255-5.615 7.255-10.646C23.5 6.188 18.334 1 11.978 1 5.62 1 .5 6.188.5 12.545c0 4.986 3.167 9.12 7.435 10.669.606.225 1.19-.18 1.19-.786V20.63a2.9 2.9 0 0 1-1.078.224c-1.483 0-2.359-.808-2.987-2.313-.247-.607-.517-.966-1.034-1.033-.27-.023-.359-.135-.359-.27 0-.27.45-.471.898-.471.652 0 1.213.404 1.797 1.235.45.651.921.943 1.483.943.561 0 .92-.202 1.437-.719.382-.381.674-.718.944-.943"></path>
</svg>
</a>
      <span>
        &copy; 2026 GitHub,&nbsp;Inc.
      </span>
    </div>

    <nav aria-label="Footer">
      <h3 class="sr-only" id="sr-footer-heading">Footer navigation</h3>

      <ul class="list-style-none d-flex flex-justify-center flex-wrap mb-2 mb-lg-0" aria-labelledby="sr-footer-heading">


          <li class="mx-2">
            <a data-analytics-event="{&quot;category&quot;:&quot;Footer&quot;,&quot;action&quot;:&quot;go to Terms&quot;,&quot;label&quot;:&quot;text:terms&quot;}" href="https://docs.github.com/site-policy/github-terms/github-terms-of-service" data-view-component="true" class="Link--secondary Link">Terms</a>
          </li>

          <li class="mx-2">
            <a data-analytics-event="{&quot;category&quot;:&quot;Footer&quot;,&quot;action&quot;:&quot;go to privacy&quot;,&quot;label&quot;:&quot;text:privacy&quot;}" href="https://docs.github.com/site-policy/privacy-policies/github-privacy-statement" data-view-component="true" class="Link--secondary Link">Privacy</a>
          </li>


            <li class="mx-2">
              <a data-analytics-event="{&quot;category&quot;:&quot;Footer&quot;,&quot;action&quot;:&quot;go to security&quot;,&quot;label&quot;:&quot;text:security&quot;}" href="https://github.com/security" data-view-component="true" class="Link--secondary Link">Security</a>
            </li>

            <li class="mx-2">
              <a data-analytics-event="{&quot;category&quot;:&quot;Footer&quot;,&quot;action&quot;:&quot;go to status&quot;,&quot;label&quot;:&quot;text:status&quot;}" href="https://www.githubstatus.com/" data-view-component="true" class="Link--secondary Link">Status</a>
            </li>

          <li class="mx-2">
            <a data-analytics-event="{&quot;category&quot;:&quot;Footer&quot;,&quot;action&quot;:&quot;go to community&quot;,&quot;label&quot;:&quot;text:community&quot;}" href="https://github.community/" data-view-component="true" class="Link--secondary Link">Community</a>
          </li>

          <li class="mx-2">
            <a data-analytics-event="{&quot;category&quot;:&quot;Footer&quot;,&quot;action&quot;:&quot;go to docs&quot;,&quot;label&quot;:&quot;text:docs&quot;}" href="https://docs.github.com/" data-view-component="true" class="Link--secondary Link">Docs</a>
          </li>

          <li class="mx-2">
            <a data-analytics-event="{&quot;category&quot;:&quot;Footer&quot;,&quot;action&quot;:&quot;go to contact&quot;,&quot;label&quot;:&quot;text:contact&quot;}" href="https://support.github.com?tags=dotcom-footer" data-view-component="true" class="Link--secondary Link">Contact</a>
          </li>

          
<li class="mx-2" >
  <cookie-consent-link>
    <button
      type="button"
      class="Link--secondary underline-on-hover border-0 p-0 color-bg-transparent"
      data-action="click:cookie-consent-link#showConsentManagement"
      data-analytics-event="{&quot;location&quot;:&quot;footer&quot;,&quot;action&quot;:&quot;cookies&quot;,&quot;context&quot;:&quot;subfooter&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;label&quot;:&quot;cookies_link_subfooter_footer&quot;}"
    >
      Manage cookies
    </button>
  </cookie-consent-link>
</li>

  <li class="mx-2">
    <cookie-consent-link>
      <button
        type="button"
        class="Link--secondary underline-on-hover border-0 p-0 color-bg-transparent text-left"
        data-action="click:cookie-consent-link#showConsentManagement"
        data-analytics-event="{&quot;location&quot;:&quot;footer&quot;,&quot;action&quot;:&quot;dont_share_info&quot;,&quot;context&quot;:&quot;subfooter&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;label&quot;:&quot;dont_share_info_link_subfooter_footer&quot;}"
      >
        Do not share my personal information
      </button>
    </cookie-consent-link>
  </li>

      </ul>
    </nav>
  </div>
</footer>



    <ghcc-consent id="ghcc" class="position-fixed bottom-0 left-0" style="z-index: 999999"
      data-locale="en"
      data-initial-cookie-consent-allowed=""
      data-cookie-consent-required="true"
    ></ghcc-consent>




  <div id="ajax-error-message" class="ajax-error-message flash flash-error" hidden>
    <svg aria-hidden="true" data-component="Octicon" height="16" viewBox="0 0 16 16" version="1.1" width="16" data-view-component="true" class="octicon octicon-alert">
    <path d="M6.457 1.047c.659-1.234 2.427-1.234 3.086 0l6.082 11.378A1.75 1.75 0 0 1 14.082 15H1.918a1.75 1.75 0 0 1-1.543-2.575Zm1.763.707a.25.25 0 0 0-.44 0L1.698 13.132a.25.25 0 0 0 .22.368h12.164a.25.25 0 0 0 .22-.368Zm.53 3.996v2.5a.75.75 0 0 1-1.5 0v-2.5a.75.75 0 0 1 1.5 0ZM9 11a1 1 0 1 1-2 0 1 1 0 0 1 2 0Z"></path>
</svg>
    <button type="button" class="flash-close js-ajax-error-dismiss" aria-label="Dismiss error">
      <svg aria-hidden="true" data-component="Octicon" height="16" viewBox="0 0 16 16" version="1.1" width="16" data-view-component="true" class="octicon octicon-x">
    <path d="M3.72 3.72a.75.75 0 0 1 1.06 0L8 6.94l3.22-3.22a.749.749 0 0 1 1.275.326.749.749 0 0 1-.215.734L9.06 8l3.22 3.22a.749.749 0 0 1-.326 1.275.749.749 0 0 1-.734-.215L8 9.06l-3.22 3.22a.751.751 0 0 1-1.042-.018.751.751 0 0 1-.018-1.042L6.94 8 3.72 4.78a.75.75 0 0 1 0-1.06Z"></path>
</svg>
    </button>
    You can’t perform that action at this time.
  </div>

    <template id="site-details-dialog">
  <details class="details-reset details-overlay details-overlay-dark lh-default color-fg-default hx_rsm" open>
    <summary role="button" aria-label="Close dialog"></summary>
    <details-dialog class="Box Box--overlay d-flex flex-column anim-fade-in fast hx_rsm-dialog hx_rsm-modal">
      <button class="Box-btn-octicon m-0 btn-octicon position-absolute right-0 top-0" type="button" aria-label="Close dialog" data-close-dialog>
        <svg aria-hidden="true" data-component="Octicon" height="16" viewBox="0 0 16 16" version="1.1" width="16" data-view-component="true" class="octicon octicon-x">
    <path d="M3.72 3.72a.75.75 0 0 1 1.06 0L8 6.94l3.22-3.22a.749.749 0 0 1 1.275.326.749.749 0 0 1-.215.734L9.06 8l3.22 3.22a.749.749 0 0 1-.326 1.275.749.749 0 0 1-.734-.215L8 9.06l-3.22 3.22a.751.751 0 0 1-1.042-.018.751.751 0 0 1-.018-1.042L6.94 8 3.72 4.78a.75.75 0 0 1 0-1.06Z"></path>
</svg>
      </button>
      <div class="octocat-spinner tmp-my-6 js-details-dialog-spinner"></div>
    </details-dialog>
  </details>
</template>

    <div class="Popover js-hovercard-content position-absolute" style="display: none; outline: none;">
  <div class="Popover-message Popover-message--bottom-left Popover-message--large Box color-shadow-large" style="width:360px;">
  </div>
</div>

    <template id="snippet-clipboard-copy-button">
  <div class="zeroclipboard-container position-absolute right-0 top-0">
    <clipboard-copy aria-label="Copy code to clipboard" class="ClipboardButton btn js-clipboard-copy m-2 p-0" data-copy-feedback="Copied!" data-tooltip-direction="w">
      <svg aria-hidden="true" data-component="Octicon" height="16" viewBox="0 0 16 16" version="1.1" width="16" data-view-component="true" class="octicon octicon-copy js-clipboard-copy-icon m-2 tmp-m-2">
    <path d="M0 6.75C0 5.784.784 5 1.75 5h1.5a.75.75 0 0 1 0 1.5h-1.5a.25.25 0 0 0-.25.25v7.5c0 .138.112.25.25.25h7.5a.25.25 0 0 0 .25-.25v-1.5a.75.75 0 0 1 1.5 0v1.5A1.75 1.75 0 0 1 9.25 16h-7.5A1.75 1.75 0 0 1 0 14.25Z"></path><path d="M5 1.75C5 .784 5.784 0 6.75 0h7.5C15.216 0 16 .784 16 1.75v7.5A1.75 1.75 0 0 1 14.25 11h-7.5A1.75 1.75 0 0 1 5 9.25Zm1.75-.25a.25.25 0 0 0-.25.25v7.5c0 .138.112.25.25.25h7.5a.25.25 0 0 0 .25-.25v-7.5a.25.25 0 0 0-.25-.25Z"></path>
</svg>
      <svg aria-hidden="true" data-component="Octicon" height="16" viewBox="0 0 16 16" version="1.1" width="16" data-view-component="true" class="octicon octicon-check js-clipboard-check-icon color-fg-success d-none m-2 tmp-m-2">
    <path d="M13.78 4.22a.75.75 0 0 1 0 1.06l-7.25 7.25a.75.75 0 0 1-1.06 0L2.22 9.28a.751.751 0 0 1 .018-1.042.751.751 0 0 1 1.042-.018L6 10.94l6.72-6.72a.75.75 0 0 1 1.06 0Z"></path>
</svg>
    </clipboard-copy>
  </div>
</template>
<template id="snippet-clipboard-copy-button-unpositioned">
  <div class="zeroclipboard-container">
    <clipboard-copy aria-label="Copy code to clipboard" class="ClipboardButton btn btn-invisible js-clipboard-copy m-2 p-0 d-flex flex-justify-center flex-items-center" data-copy-feedback="Copied!" data-tooltip-direction="w">
      <svg aria-hidden="true" data-component="Octicon" height="16" viewBox="0 0 16 16" version="1.1" width="16" data-view-component="true" class="octicon octicon-copy js-clipboard-copy-icon">
    <path d="M0 6.75C0 5.784.784 5 1.75 5h1.5a.75.75 0 0 1 0 1.5h-1.5a.25.25 0 0 0-.25.25v7.5c0 .138.112.25.25.25h7.5a.25.25 0 0 0 .25-.25v-1.5a.75.75 0 0 1 1.5 0v1.5A1.75 1.75 0 0 1 9.25 16h-7.5A1.75 1.75 0 0 1 0 14.25Z"></path><path d="M5 1.75C5 .784 5.784 0 6.75 0h7.5C15.216 0 16 .784 16 1.75v7.5A1.75 1.75 0 0 1 14.25 11h-7.5A1.75 1.75 0 0 1 5 9.25Zm1.75-.25a.25.25 0 0 0-.25.25v7.5c0 .138.112.25.25.25h7.5a.25.25 0 0 0 .25-.25v-7.5a.25.25 0 0 0-.25-.25Z"></path>
</svg>
      <svg aria-hidden="true" data-component="Octicon" height="16" viewBox="0 0 16 16" version="1.1" width="16" data-view-component="true" class="octicon octicon-check js-clipboard-check-icon color-fg-success d-none">
    <path d="M13.78 4.22a.75.75 0 0 1 0 1.06l-7.25 7.25a.75.75 0 0 1-1.06 0L2.22 9.28a.751.751 0 0 1 .018-1.042.751.751 0 0 1 1.042-.018L6 10.94l6.72-6.72a.75.75 0 0 1 1.06 0Z"></path>
</svg>
    </clipboard-copy>
  </div>
</template>




    </div>
    <div id="js-global-screen-reader-notice" class="sr-only mt-n1" aria-live="polite" aria-atomic="true" ></div>
    <div id="js-global-screen-reader-notice-assertive" class="sr-only mt-n1" aria-live="assertive" aria-atomic="true"></div>
  </body>
</html>

