{"id":26085,"date":"2025-03-26T10:37:02","date_gmt":"2025-03-26T03:37:02","guid":{"rendered":"https:\/\/interdata.vn\/blog\/?p=26085"},"modified":"2025-03-26T10:37:02","modified_gmt":"2025-03-26T03:37:02","slug":"logistic-regression-la-gi","status":"publish","type":"post","link":"https:\/\/interdata.vn\/blog\/logistic-regression-la-gi\/","title":{"rendered":"Logistic Regression l\u00e0 g\u00ec? H\u1ed3i quy logistic trong AI &#038; ML"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_85 counter-hierarchy ez-toc-counter ez-toc-white ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">N\u1ed8I DUNG<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 eztoc-toggle-hide-by-default' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/interdata.vn\/blog\/logistic-regression-la-gi\/#Logistic-Regression-la-gi\" >Logistic Regression l\u00e0 g\u00ec?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/interdata.vn\/blog\/logistic-regression-la-gi\/#Tai-sao-hoi-quy-Logistic-lai-quan-trong\" >T\u1ea1i sao h\u1ed3i quy Logistic l\u1ea1i quan tr\u1ecdng?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/interdata.vn\/blog\/logistic-regression-la-gi\/#Cach-hoat-dong-cua-Logistic-Regression\" >C\u00e1ch ho\u1ea1t \u0111\u1ed9ng c\u1ee7a Logistic Regression<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/interdata.vn\/blog\/logistic-regression-la-gi\/#Phuong-trinh-Equation\" >Ph\u01b0\u01a1ng tr\u00ecnh (Equation)<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/interdata.vn\/blog\/logistic-regression-la-gi\/#Bien-so-Variables\" >Bi\u1ebfn s\u1ed1 (Variables)<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/interdata.vn\/blog\/logistic-regression-la-gi\/#Ham-hoi-quy-Logistic-Logistic-Regression-Function\" >H\u00e0m h\u1ed3i quy Logistic (Logistic Regression Function)<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/interdata.vn\/blog\/logistic-regression-la-gi\/#Phan-tich-hoi-quy-Logistic-voi-nhieu-bien-doc-lap\" >Ph\u00e2n t\u00edch h\u1ed3i quy Logistic v\u1edbi nhi\u1ec1u bi\u1ebfn \u0111\u1ed9c l\u1eadp<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/interdata.vn\/blog\/logistic-regression-la-gi\/#Log-cua-ty-so-Odds-Log-Odds\" >Log c\u1ee7a t\u1ef7 s\u1ed1 Odds (Log-Odds)<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/interdata.vn\/blog\/logistic-regression-la-gi\/#Cac-thuat-ngu-quan-trong-trong-Logistic-Regression\" >C\u00e1c thu\u1eadt ng\u1eef quan tr\u1ecdng trong Logistic Regression<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/interdata.vn\/blog\/logistic-regression-la-gi\/#So-sanh-giua-hoi-quy-tuyen-tinh-va-hoi-quy-logistic\" >So s\u00e1nh gi\u1eefa h\u1ed3i quy tuy\u1ebfn t\u00ednh v\u00e0 h\u1ed3i quy logistic<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/interdata.vn\/blog\/logistic-regression-la-gi\/#Ung-thuc-te-cua-Logistic-Regression\" >\u1ee8ng th\u1ef1c t\u1ebf c\u1ee7a Logistic Regression<\/a><\/li><\/ul><\/nav><\/div>\n<p>Trong l\u0129nh v\u1ef1c ph\u00e2n t\u00edch d\u1eef li\u1ec7u v\u00e0 h\u1ecdc m\u00e1y, h\u1ed3i quy logistic (Logistic Regression) l\u00e0 m\u1ed9t c\u00f4ng c\u1ee5 quan tr\u1ecdng gi\u00fap d\u1ef1 \u0111o\u00e1n k\u1ebft qu\u1ea3 c\u1ee7a c\u00e1c bi\u1ebfn ph\u00e2n lo\u1ea1i. V\u1edbi kh\u1ea3 n\u0103ng \u1ee9ng d\u1ee5ng r\u1ed9ng r\u00e3i, t\u1eeb t\u00e0i ch\u00ednh, y t\u1ebf \u0111\u1ebfn ti\u1ebfp th\u1ecb, m\u00f4 h\u00ecnh n\u00e0y gi\u00fap c\u00e1c t\u1ed5 ch\u1ee9c khai th\u00e1c d\u1eef li\u1ec7u hi\u1ec7u qu\u1ea3, \u0111\u01b0a ra quy\u1ebft \u0111\u1ecbnh ch\u00ednh x\u00e1c. B\u00e0i vi\u1ebft n\u00e0y s\u1ebd gi\u00fap b\u1ea1n hi\u1ec3u r\u00f5 h\u01a1n v\u1ec1 <strong><a href=\"https:\/\/interdata.vn\/blog\/logistic-regression-la-gi\/\">Logistic Regression l\u00e0 g\u00ec?<\/a> <\/strong>C\u00e1ch ho\u1ea1t \u0111\u1ed9ng, thu\u1eadt ng\u1eef quan tr\u1ecdng v\u00e0 nh\u1eefng \u1ee9ng d\u1ee5ng th\u1ef1c t\u1ebf. \u0110\u1ecdc ngay!<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Logistic-Regression-la-gi\"><\/span>Logistic Regression l\u00e0 g\u00ec?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>H\u1ed3i quy logistic (Logistic Regression) l\u00e0 m\u1ed9t<\/strong> <strong>ph\u01b0\u01a1ng ph\u00e1p ph\u00e2n t\u00edch d\u1eef li\u1ec7u s\u1eed d\u1ee5ng c\u00e1c ph\u00e9p to\u00e1n \u0111\u1ec3 x\u00e1c \u0111\u1ecbnh m\u1ed1i quan h\u1ec7 gi\u1eefa c\u00e1c bi\u1ebfn s\u1ed1 (y\u1ebfu t\u1ed1 d\u1eef li\u1ec7u).<\/strong> D\u1ef1a tr\u00ean m\u1ed1i quan h\u1ec7 \u0111\u00e3 t\u00ecm th\u1ea5y, k\u1ef9 thu\u1eadt n\u00e0y c\u00f3 th\u1ec3 d\u1ef1 \u0111o\u00e1n gi\u00e1 tr\u1ecb c\u1ee7a m\u1ed9t bi\u1ebfn s\u1ed1 d\u1ef1a tr\u00ean (c\u00e1c) bi\u1ebfn s\u1ed1 c\u00f2n l\u1ea1i. K\u1ebft qu\u1ea3 d\u1ef1 \u0111o\u00e1n th\u01b0\u1eddng l\u00e0 m\u1ed9t gi\u00e1 tr\u1ecb r\u1eddi r\u1ea1c (discrete value), v\u00ed d\u1ee5: &#8220;C\u00f3&#8221; ho\u1eb7c &#8220;Kh\u00f4ng&#8221;, &#8220;True&#8221; ho\u1eb7c &#8220;False&#8221;.<\/p>\n<figure id=\"attachment_26106\" aria-describedby=\"caption-attachment-26106\" style=\"width: 800px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/interdata.vn\/blog\/wp-content\/uploads\/2025\/03\/Logistic-Regression-la-gi.png\" alt=\"Logistic Regression l\u00e0 g\u00ec\" width=\"800\" height=\"500\" class=\"size-full wp-image-26106\" title=\"\" srcset=\"https:\/\/interdata.vn\/blog\/wp-content\/uploads\/2025\/03\/Logistic-Regression-la-gi.png 800w, https:\/\/interdata.vn\/blog\/wp-content\/uploads\/2025\/03\/Logistic-Regression-la-gi-300x188.png 300w, https:\/\/interdata.vn\/blog\/wp-content\/uploads\/2025\/03\/Logistic-Regression-la-gi-768x480.png 768w, https:\/\/interdata.vn\/blog\/wp-content\/uploads\/2025\/03\/Logistic-Regression-la-gi-750x469.png 750w\" sizes=\"auto, (max-width: 800px) 100vw, 800px\" \/><figcaption id=\"caption-attachment-26106\" class=\"wp-caption-text\">Logistic Regression l\u00e0 g\u00ec?<\/figcaption><\/figure>\n<p>V\u00ed d\u1ee5 minh h\u1ecda, b\u1ea1n mu\u1ed1n d\u1ef1 \u0111o\u00e1n li\u1ec7u kh\u00e1ch truy c\u1eadp <a href=\"https:\/\/interdata.vn\/blog\/website-la-gi\/\">website<\/a> c\u00f3 nh\u1ea5p v\u00e0o n\u00fat &#8220;Thanh to\u00e1n&#8221; trong gi\u1ecf h\u00e0ng hay kh\u00f4ng. Ph\u00e2n t\u00edch h\u1ed3i quy logistic s\u1ebd xem x\u00e9t c\u00e1c h\u00e0nh vi trong qu\u00e1 kh\u1ee9 c\u1ee7a kh\u00e1ch h\u00e0ng, nh\u01b0 th\u1eddi gian h\u1ecd \u1edf tr\u00ean trang, s\u1ed1 l\u01b0\u1ee3ng s\u1ea3n ph\u1ea9m trong gi\u1ecf.<\/p>\n<p>T\u1eeb \u0111\u00f3 x\u00e1c \u0111\u1ecbnh r\u1eb1ng, n\u1ebfu kh\u00e1ch truy c\u1eadp \u1edf l\u1ea1i trang tr\u00ean 5 ph\u00fat v\u00e0 th\u00eam h\u01a1n 3 s\u1ea3n ph\u1ea9m, kh\u1ea3 n\u0103ng cao h\u1ecd s\u1ebd nh\u1ea5p &#8220;Thanh to\u00e1n&#8221;. D\u1ef1a v\u00e0o \u0111\u00f3, m\u00f4 h\u00ecnh h\u1ed3i quy logistic c\u00f3 th\u1ec3 d\u1ef1 \u0111o\u00e1n h\u00e0nh vi c\u1ee7a kh\u00e1ch h\u00e0ng m\u1edbi.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Tai-sao-hoi-quy-Logistic-lai-quan-trong\"><\/span>T\u1ea1i sao h\u1ed3i quy Logistic l\u1ea1i quan tr\u1ecdng?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>H\u1ed3i quy logistic l\u00e0 m\u1ed9t k\u1ef9 thu\u1eadt n\u1ec1n t\u1ea3ng trong l\u0129nh v\u1ef1c <a href=\"https:\/\/interdata.vn\/blog\/tri-tue-nhan-tao-ai\/\">tr\u00ed tu\u1ec7 nh\u00e2n t\u1ea1o<\/a> (AI) v\u00e0 h\u1ecdc m\u00e1y (ML). C\u00e1c m\u00f4 h\u00ecnh ML, v\u1ec1 b\u1ea3n ch\u1ea5t l\u00e0 c\u00e1c ch\u01b0\u01a1ng tr\u00ecnh ph\u1ea7n m\u1ec1m, c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c hu\u1ea5n luy\u1ec7n \u0111\u1ec3 th\u1ef1c hi\u1ec7n c\u00e1c t\u00e1c v\u1ee5 <a href=\"https:\/\/interdata.vn\/blog\/data-preprocessing-la-gi\/\">x\u1eed l\u00fd d\u1eef li\u1ec7u<\/a> ph\u1ee9c t\u1ea1p m\u00e0 kh\u00f4ng c\u1ea7n s\u1ef1 can thi\u1ec7p tr\u1ef1c ti\u1ebfp c\u1ee7a con ng\u01b0\u1eddi.<\/p>\n<p>M\u00f4 h\u00ecnh ML d\u1ef1a tr\u00ean h\u1ed3i quy logistic gi\u00fap c\u00e1c t\u1ed5 ch\u1ee9c khai th\u00e1c th\u00f4ng tin chi ti\u1ebft (insights) t\u1eeb d\u1eef li\u1ec7u kinh doanh. C\u00e1c t\u1ed5 ch\u1ee9c c\u00f3 th\u1ec3 s\u1eed d\u1ee5ng nh\u1eefng th\u00f4ng tin chi ti\u1ebft n\u00e0y cho ph\u00e2n t\u00edch d\u1ef1 \u0111o\u00e1n (predictive analysis), gi\u00fap gi\u1ea3m chi ph\u00ed ho\u1ea1t \u0111\u1ed9ng, n\u00e2ng cao hi\u1ec7u qu\u1ea3, v\u00e0 m\u1edf r\u1ed9ng quy m\u00f4 nhanh ch\u00f3ng.<\/p>\n<figure id=\"attachment_26107\" aria-describedby=\"caption-attachment-26107\" style=\"width: 800px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/interdata.vn\/blog\/wp-content\/uploads\/2025\/03\/Tai-sao-hoi-quy-Logistic-lai-quan-trong.jpg\" alt=\"T\u1ea1i sao h\u1ed3i quy Logistic l\u1ea1i quan tr\u1ecdng\" width=\"800\" height=\"420\" class=\"size-full wp-image-26107\" title=\"\" srcset=\"https:\/\/interdata.vn\/blog\/wp-content\/uploads\/2025\/03\/Tai-sao-hoi-quy-Logistic-lai-quan-trong.jpg 800w, https:\/\/interdata.vn\/blog\/wp-content\/uploads\/2025\/03\/Tai-sao-hoi-quy-Logistic-lai-quan-trong-300x158.jpg 300w, https:\/\/interdata.vn\/blog\/wp-content\/uploads\/2025\/03\/Tai-sao-hoi-quy-Logistic-lai-quan-trong-768x403.jpg 768w, https:\/\/interdata.vn\/blog\/wp-content\/uploads\/2025\/03\/Tai-sao-hoi-quy-Logistic-lai-quan-trong-750x394.jpg 750w\" sizes=\"auto, (max-width: 800px) 100vw, 800px\" \/><figcaption id=\"caption-attachment-26107\" class=\"wp-caption-text\">T\u1ea1i sao h\u1ed3i quy Logistic l\u1ea1i quan tr\u1ecdng<\/figcaption><\/figure>\n<p>V\u00ed d\u1ee5, m\u1ed9t c\u00f4ng ty c\u00f3 th\u1ec3 ph\u00e1t hi\u1ec7n ra c\u00e1c y\u1ebfu t\u1ed1 gi\u00fap gi\u1eef ch\u00e2n nh\u00e2n vi\u00ean, ho\u1eb7c thi\u1ebft k\u1ebf c\u00e1c s\u1ea3n ph\u1ea9m c\u00f3 kh\u1ea3 n\u0103ng sinh l\u1eddi cao h\u01a1n. T\u1ed1i \u01b0u h\u00f3a ho\u1ea1t \u0111\u1ed9ng l\u00e0 m\u1ed9t \u0111i\u1ec3m m\u1ea1nh.<\/p>\n<p>D\u01b0\u1edbi \u0111\u00e2y l\u00e0 m\u1ed9t s\u1ed1 l\u1ee3i \u00edch khi so s\u00e1nh h\u1ed3i quy logistic v\u1edbi c\u00e1c k\u1ef9 thu\u1eadt ML kh\u00e1c:<\/p>\n<ul>\n<li><strong>\u0110\u01a1n gi\u1ea3n:<\/strong> C\u00e1c m\u00f4 h\u00ecnh h\u1ed3i quy logistic c\u00f3 \u0111\u1ed9 ph\u1ee9c t\u1ea1p to\u00e1n h\u1ecdc th\u1ea5p h\u01a1n so v\u1edbi c\u00e1c ph\u01b0\u01a1ng ph\u00e1p ML kh\u00e1c. \u0110i\u1ec1u n\u00e0y cho ph\u00e9p tri\u1ec3n khai ch\u00fang ngay c\u1ea3 khi \u0111\u1ed9i ng\u0169 c\u1ee7a b\u1ea1n kh\u00f4ng c\u00f3 chuy\u00ean m\u00f4n s\u00e2u v\u1ec1 ML. D\u1ec5 ti\u1ebfp c\u1eadn.<\/li>\n<li><strong>T\u1ed1c \u0111\u1ed9:<\/strong> M\u00f4 h\u00ecnh h\u1ed3i quy logistic c\u00f3 th\u1ec3 x\u1eed l\u00fd kh\u1ed1i l\u01b0\u1ee3ng l\u1edbn d\u1eef li\u1ec7u v\u1edbi t\u1ed1c \u0111\u1ed9 cao, do y\u00eau c\u1ea7u v\u1ec1 t\u00e0i nguy\u00ean t\u00ednh to\u00e1n (b\u1ed9 nh\u1edb, s\u1ee9c m\u1ea1nh x\u1eed l\u00fd) th\u1ea5p h\u01a1n. \u0110i\u1ec1u n\u00e0y khi\u1ebfn ch\u00fang tr\u1edf n\u00ean l\u00fd t\u01b0\u1edfng cho c\u00e1c t\u1ed5 ch\u1ee9c m\u1edbi b\u1eaft \u0111\u1ea7u v\u1edbi c\u00e1c d\u1ef1 \u00e1n ML, mong mu\u1ed1n \u0111\u1ea1t \u0111\u01b0\u1ee3c k\u1ebft qu\u1ea3 nhanh ch\u00f3ng.<\/li>\n<li><strong>Linh ho\u1ea1t:<\/strong> H\u1ed3i quy logistic c\u00f3 th\u1ec3 gi\u1ea3i quy\u1ebft c\u00e1c b\u00e0i to\u00e1n c\u00f3 hai ho\u1eb7c nhi\u1ec1u k\u1ebft qu\u1ea3 \u0111\u1ea7u ra r\u1eddi r\u1ea1c. N\u00f3 c\u0169ng c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng \u0111\u1ec3 ti\u1ec1n x\u1eed l\u00fd d\u1eef li\u1ec7u. V\u00ed d\u1ee5, b\u1ea1n c\u00f3 th\u1ec3 ph\u00e2n lo\u1ea1i d\u1eef li\u1ec7u c\u00f3 ph\u1ea1m vi gi\u00e1 tr\u1ecb l\u1edbn (v\u00ed d\u1ee5: giao d\u1ecbch ng\u00e2n h\u00e0ng) th\u00e0nh ph\u1ea1m vi nh\u1ecf h\u01a1n b\u1eb1ng h\u1ed3i quy logistic. Sau \u0111\u00f3, t\u1eadp d\u1eef li\u1ec7u \u0111\u00e3 \u0111\u01b0\u1ee3c x\u1eed l\u00fd n\u00e0y c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c ph\u00e2n t\u00edch b\u1eb1ng c\u00e1c k\u1ef9 thu\u1eadt ML kh\u00e1c \u0111\u1ec3 t\u0103ng \u0111\u1ed9 ch\u00ednh x\u00e1c.<\/li>\n<li><strong>T\u00ednh minh b\u1ea1ch (Interpretability):<\/strong> Ph\u00e2n t\u00edch h\u1ed3i quy logistic cho ph\u00e9p c\u00e1c nh\u00e0 ph\u00e1t tri\u1ec3n hi\u1ec3u r\u00f5 h\u01a1n v\u1ec1 c\u00e1c quy tr\u00ecnh ph\u1ea7n m\u1ec1m b\u00ean trong so v\u1edbi c\u00e1c k\u1ef9 thu\u1eadt ph\u00e2n t\u00edch d\u1eef li\u1ec7u kh\u00e1c. Vi\u1ec7c g\u1ee1 l\u1ed7i v\u00e0 s\u1eeda l\u1ed7i c\u0169ng tr\u1edf n\u00ean d\u1ec5 d\u00e0ng h\u01a1n do c\u00e1c ph\u00e9p to\u00e1n \u00edt ph\u1ee9c t\u1ea1p.<\/li>\n<\/ul>\n<h2><span class=\"ez-toc-section\" id=\"Cach-hoat-dong-cua-Logistic-Regression\"><\/span>C\u00e1ch ho\u1ea1t \u0111\u1ed9ng c\u1ee7a Logistic Regression<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u0110\u1ec3 hi\u1ec3u r\u00f5 c\u00e1ch th\u1ee9c ho\u1ea1t \u0111\u1ed9ng c\u1ee7a m\u00f4 h\u00ecnh h\u1ed3i quy logistic, ch\u00fang ta c\u1ea7n xem x\u00e9t c\u00e1c kh\u00e1i ni\u1ec7m v\u1ec1 ph\u01b0\u01a1ng tr\u00ecnh v\u00e0 bi\u1ebfn s\u1ed1.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Phuong-trinh-Equation\"><\/span>Ph\u01b0\u01a1ng tr\u00ecnh (Equation)<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Trong to\u00e1n h\u1ecdc, m\u1ed9t <strong>ph\u01b0\u01a1ng tr\u00ecnh bi\u1ec3u di\u1ec5n m\u1ed1i quan h\u1ec7 gi\u1eefa hai bi\u1ebfn<\/strong>, th\u01b0\u1eddng \u0111\u01b0\u1ee3c k\u00fd hi\u1ec7u l\u00e0 <i>x<\/i> v\u00e0 <i>y<\/i>. B\u1ea1n c\u00f3 th\u1ec3 s\u1eed d\u1ee5ng c\u00e1c ph\u01b0\u01a1ng tr\u00ecnh (hay h\u00e0m s\u1ed1) n\u00e0y \u0111\u1ec3 v\u1ebd \u0111\u1ed3 th\u1ecb tr\u00ean h\u1ec7 tr\u1ee5c t\u1ecda \u0111\u1ed9 <i>x-y<\/i> b\u1eb1ng c\u00e1ch thay th\u1ebf c\u00e1c gi\u00e1 tr\u1ecb kh\u00e1c nhau c\u1ee7a <i>x<\/i> v\u00e0 <i>y<\/i>.<\/p>\n<p>V\u00ed d\u1ee5, x\u00e9t h\u00e0m s\u1ed1 <i>y<\/i> = 2*<i>x<\/i>. Khi v\u1ebd \u0111\u1ed3 th\u1ecb c\u1ee7a h\u00e0m s\u1ed1 n\u00e0y, ta s\u1ebd thu \u0111\u01b0\u1ee3c m\u1ed9t \u0111\u01b0\u1eddng th\u1eb3ng. Do \u0111\u00f3, h\u00e0m s\u1ed1 n\u00e0y c\u00f2n \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 <strong>h\u00e0m tuy\u1ebfn t\u00ednh<\/strong> (linear function).<\/p>\n<figure id=\"attachment_26101\" aria-describedby=\"caption-attachment-26101\" style=\"width: 197px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/interdata.vn\/blog\/wp-content\/uploads\/2025\/03\/Phuong-trinh.png\" alt=\"Ph\u01b0\u01a1ng tr\u00ecnh\" width=\"197\" height=\"186\" class=\"size-full wp-image-26101\" title=\"\"><figcaption id=\"caption-attachment-26101\" class=\"wp-caption-text\">Ph\u01b0\u01a1ng tr\u00ecnh<\/figcaption><\/figure>\n<h3><span class=\"ez-toc-section\" id=\"Bien-so-Variables\"><\/span>Bi\u1ebfn s\u1ed1 (Variables)<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Trong th\u1ed1ng k\u00ea, bi\u1ebfn s\u1ed1 l\u00e0 c\u00e1c y\u1ebfu t\u1ed1 d\u1eef li\u1ec7u ho\u1eb7c thu\u1ed9c t\u00ednh c\u00f3 th\u1ec3 nh\u1eadn c\u00e1c gi\u00e1 tr\u1ecb kh\u00e1c nhau. Trong m\u1ed9t ph\u00e2n t\u00edch, c\u00f3 nh\u1eefng bi\u1ebfn \u0111\u01b0\u1ee3c coi l\u00e0 bi\u1ebfn \u0111\u1ed9c l\u1eadp (independent variable) hay bi\u1ebfn gi\u1ea3i th\u00edch (explanatory variable). \u0110\u00e2y l\u00e0 nh\u1eefng y\u1ebfu t\u1ed1 \u0111\u01b0\u1ee3c cho l\u00e0 nguy\u00ean nh\u00e2n g\u00e2y ra s\u1ef1 thay \u0111\u1ed5i c\u1ee7a m\u1ed9t k\u1ebft qu\u1ea3 n\u00e0o \u0111\u00f3. C\u00e1c bi\u1ebfn kh\u00e1c \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 bi\u1ebfn ph\u1ee5 thu\u1ed9c (dependent variable) hay bi\u1ebfn ph\u1ea3n h\u1ed3i (<a href=\"https:\/\/interdata.vn\/blog\/http-response-la-gi\/\">response<\/a> variable); gi\u00e1 tr\u1ecb c\u1ee7a ch\u00fang ph\u1ee5 thu\u1ed9c v\u00e0o gi\u00e1 tr\u1ecb c\u1ee7a c\u00e1c bi\u1ebfn \u0111\u1ed9c l\u1eadp.<\/p>\n<p>N\u00f3i chung, h\u1ed3i quy logistic nghi\u00ean c\u1ee9u <strong>c\u00e1ch c\u00e1c bi\u1ebfn \u0111\u1ed9c l\u1eadp \u1ea3nh h\u01b0\u1edfng \u0111\u1ebfn m\u1ed9t bi\u1ebfn ph\u1ee5 thu\u1ed9c<\/strong> b\u1eb1ng c\u00e1ch xem x\u00e9t d\u1eef li\u1ec7u l\u1ecbch s\u1eed c\u1ee7a c\u1ea3 hai lo\u1ea1i bi\u1ebfn.<\/p>\n<p>Trong v\u00ed d\u1ee5 <i>y<\/i> = 2*<i>x<\/i>, <i>x<\/i> \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 bi\u1ebfn \u0111\u1ed9c l\u1eadp, bi\u1ebfn d\u1ef1 \u0111o\u00e1n, ho\u1eb7c bi\u1ebfn gi\u1ea3i th\u00edch v\u00ec n\u00f3 c\u00f3 m\u1ed9t gi\u00e1 tr\u1ecb \u0111\u00e3 bi\u1ebft tr\u01b0\u1edbc. <i>y<\/i> \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 bi\u1ebfn ph\u1ee5 thu\u1ed9c, bi\u1ebfn k\u1ebft qu\u1ea3, ho\u1eb7c bi\u1ebfn ph\u1ea3n h\u1ed3i v\u00ec gi\u00e1 tr\u1ecb c\u1ee7a n\u00f3 ch\u01b0a bi\u1ebft.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Ham-hoi-quy-Logistic-Logistic-Regression-Function\"><\/span>H\u00e0m h\u1ed3i quy Logistic (Logistic Regression Function)<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>H\u1ed3i quy logistic l\u00e0 m\u1ed9t m\u00f4 h\u00ecnh th\u1ed1ng k\u00ea s\u1eed d\u1ee5ng <strong>h\u00e0m logistic<\/strong>, c\u00f2n \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 <strong>h\u00e0m logit<\/strong>, l\u00e0m ph\u01b0\u01a1ng tr\u00ecnh bi\u1ec3u di\u1ec5n m\u1ed1i quan h\u1ec7 gi\u1eefa <i>x<\/i> v\u00e0 <i>y<\/i>. H\u00e0m logit \u00e1nh x\u1ea1 <i>y<\/i> nh\u01b0 m\u1ed9t <strong>h\u00e0m sigmoid<\/strong> c\u1ee7a <i>x<\/i>.<\/p>\n<figure id=\"attachment_26102\" aria-describedby=\"caption-attachment-26102\" style=\"width: 739px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/interdata.vn\/blog\/wp-content\/uploads\/2025\/03\/Ham-hoi-quy-logistic.png\" alt=\"H\u00e0m h\u1ed3i quy logistic\" width=\"739\" height=\"295\" class=\"size-full wp-image-26102\" title=\"\" srcset=\"https:\/\/interdata.vn\/blog\/wp-content\/uploads\/2025\/03\/Ham-hoi-quy-logistic.png 739w, https:\/\/interdata.vn\/blog\/wp-content\/uploads\/2025\/03\/Ham-hoi-quy-logistic-300x120.png 300w\" sizes=\"auto, (max-width: 739px) 100vw, 739px\" \/><figcaption id=\"caption-attachment-26102\" class=\"wp-caption-text\">H\u00e0m h\u1ed3i quy logistic<\/figcaption><\/figure>\n<p>\u0110\u1ed3 th\u1ecb c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh h\u1ed3i quy logistic c\u00f3 d\u1ea1ng <strong>\u0111\u01b0\u1eddng cong ch\u1eef S<\/strong> (sigmoid curve).<\/p>\n<figure id=\"attachment_26103\" aria-describedby=\"caption-attachment-26103\" style=\"width: 807px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/interdata.vn\/blog\/wp-content\/uploads\/2025\/03\/Ham-logit-chi-tra-ve-cac-gia-tri-giua-0-va-1-cho-bien-phu-thuoc.png\" alt=\"H\u00e0m logit ch\u1ec9 tr\u1ea3 v\u1ec1 c\u00e1c gi\u00e1 tr\u1ecb gi\u1eefa 0 v\u00e0 1 cho bi\u1ebfn ph\u1ee5 thu\u1ed9c\" width=\"807\" height=\"562\" class=\"size-full wp-image-26103\" title=\"\" srcset=\"https:\/\/interdata.vn\/blog\/wp-content\/uploads\/2025\/03\/Ham-logit-chi-tra-ve-cac-gia-tri-giua-0-va-1-cho-bien-phu-thuoc.png 807w, https:\/\/interdata.vn\/blog\/wp-content\/uploads\/2025\/03\/Ham-logit-chi-tra-ve-cac-gia-tri-giua-0-va-1-cho-bien-phu-thuoc-300x209.png 300w, https:\/\/interdata.vn\/blog\/wp-content\/uploads\/2025\/03\/Ham-logit-chi-tra-ve-cac-gia-tri-giua-0-va-1-cho-bien-phu-thuoc-768x535.png 768w, https:\/\/interdata.vn\/blog\/wp-content\/uploads\/2025\/03\/Ham-logit-chi-tra-ve-cac-gia-tri-giua-0-va-1-cho-bien-phu-thuoc-750x522.png 750w\" sizes=\"auto, (max-width: 807px) 100vw, 807px\" \/><figcaption id=\"caption-attachment-26103\" class=\"wp-caption-text\">H\u00e0m logit ch\u1ec9 tr\u1ea3 v\u1ec1 c\u00e1c gi\u00e1 tr\u1ecb gi\u1eefa 0 v\u00e0 1 cho bi\u1ebfn ph\u1ee5 thu\u1ed9c<\/figcaption><\/figure>\n<p>\u0110i\u1ec3m quan tr\u1ecdng l\u00e0 h\u00e0m logit lu\u00f4n<strong> tr\u1ea3 v\u1ec1 gi\u00e1 tr\u1ecb<\/strong> <strong>n\u1eb1m gi\u1eefa 0 v\u00e0 1<\/strong> <strong>cho bi\u1ebfn ph\u1ee5 thu\u1ed9c<\/strong>, b\u1ea5t k\u1ec3 gi\u00e1 tr\u1ecb c\u1ee7a bi\u1ebfn \u0111\u1ed9c l\u1eadp l\u00e0 bao nhi\u00eau. \u0110\u00e2y ch\u00ednh l\u00e0 c\u00e1ch h\u1ed3i quy logistic \u01b0\u1edbc t\u00ednh gi\u00e1 tr\u1ecb c\u1ee7a bi\u1ebfn ph\u1ee5 thu\u1ed9c. Ph\u01b0\u01a1ng ph\u00e1p h\u1ed3i quy logistic c\u0169ng c\u00f3 th\u1ec3 m\u00f4 h\u00ecnh h\u00f3a ph\u01b0\u01a1ng tr\u00ecnh gi\u1eefa nhi\u1ec1u bi\u1ebfn \u0111\u1ed9c l\u1eadp v\u00e0 m\u1ed9t bi\u1ebfn ph\u1ee5 thu\u1ed9c.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Phan-tich-hoi-quy-Logistic-voi-nhieu-bien-doc-lap\"><\/span>Ph\u00e2n t\u00edch h\u1ed3i quy Logistic v\u1edbi nhi\u1ec1u bi\u1ebfn \u0111\u1ed9c l\u1eadp<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Trong nhi\u1ec1u tr\u01b0\u1eddng h\u1ee3p th\u1ef1c t\u1ebf, gi\u00e1 tr\u1ecb c\u1ee7a bi\u1ebfn ph\u1ee5 thu\u1ed9c b\u1ecb \u1ea3nh h\u01b0\u1edfng b\u1edfi <strong>nhi\u1ec1u bi\u1ebfn \u0111\u1ed9c l\u1eadp<\/strong>. \u0110\u1ec3 m\u00f4 h\u00ecnh h\u00f3a c\u00e1c t\u1eadp d\u1eef li\u1ec7u nh\u01b0 v\u1eady, c\u00f4ng th\u1ee9c h\u1ed3i quy logistic gi\u1ea3 \u0111\u1ecbnh m\u1ed9t <strong>m\u1ed1i quan h\u1ec7 tuy\u1ebfn t\u00ednh<\/strong> gi\u1eefa c\u00e1c bi\u1ebfn \u0111\u1ed9c l\u1eadp kh\u00e1c nhau.<\/p>\n<p>Bi\u1ebfn \u0111\u1ea7u ra cu\u1ed1i c\u00f9ng (<i>y<\/i>) c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c t\u00ednh to\u00e1n nh\u01b0 sau:<\/p>\n<p><strong><i>y<\/i> = <i>f<\/i>(\u03b2\u2080 + \u03b2\u2081<i>x<\/i>\u2081 + \u03b2\u2082<i>x<\/i>\u2082 + &#8230; + \u03b2\u2099<i>x<\/i>\u2099)<\/strong><\/p>\n<p>Trong \u0111\u00f3, k\u00fd hi\u1ec7u \u03b2 \u0111\u1ea1i di\u1ec7n cho c\u00e1c <strong>h\u1ec7 s\u1ed1 h\u1ed3i quy<\/strong> (regression coefficients). M\u00f4 h\u00ecnh logit c\u00f3 th\u1ec3 \u01b0\u1edbc t\u00ednh c\u00e1c gi\u00e1 tr\u1ecb h\u1ec7 s\u1ed1 n\u00e0y khi \u0111\u01b0\u1ee3c cung c\u1ea5p m\u1ed9t t\u1eadp d\u1eef li\u1ec7u \u0111\u1ee7 l\u1edbn v\u1edbi c\u00e1c gi\u00e1 tr\u1ecb \u0111\u00e3 bi\u1ebft c\u1ee7a c\u1ea3 bi\u1ebfn ph\u1ee5 thu\u1ed9c v\u00e0 bi\u1ebfn \u0111\u1ed9c l\u1eadp.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Log-cua-ty-so-Odds-Log-Odds\"><\/span>Log c\u1ee7a t\u1ef7 s\u1ed1 Odds (Log-Odds)<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>M\u00f4 h\u00ecnh logit c\u0169ng c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c bi\u1ec3u di\u1ec5n qua <strong>t\u1ef7 s\u1ed1 th\u00e0nh c\u00f4ng tr\u00ean th\u1ea5t b\u1ea1i<\/strong> (odds ratio), hay log c\u1ee7a t\u1ef7 s\u1ed1 odds.<\/p>\n<p>V\u00ed d\u1ee5, n\u1ebfu b\u1ea1n ch\u01a1i poker v\u00e0 th\u1eafng 4 v\u00e1n trong t\u1ed5ng s\u1ed1 10 v\u00e1n, t\u1ef7 s\u1ed1 th\u1eafng c\u1ee7a b\u1ea1n l\u00e0 4\/6 (4 th\u1eafng, 6 thua). \u0110\u00e2y ch\u00ednh l\u00e0 t\u1ef7 s\u1ed1 th\u00e0nh c\u00f4ng tr\u00ean th\u1ea5t b\u1ea1i. X\u00e1c su\u1ea5t th\u1eafng c\u1ee7a b\u1ea1n l\u00e0 4\/10.<\/p>\n<p>V\u1ec1 m\u1eb7t to\u00e1n h\u1ecdc, t\u1ef7 s\u1ed1 odds l\u00e0 <i>p<\/i>\/(1 &#8211; <i>p<\/i>), trong \u0111\u00f3 <i>p<\/i> l\u00e0 x\u00e1c su\u1ea5t th\u00e0nh c\u00f4ng. Log c\u1ee7a t\u1ef7 s\u1ed1 odds l\u00e0 log(<i>p<\/i>\/(1 &#8211; <i>p<\/i>)). H\u00e0m logistic c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c bi\u1ec3u di\u1ec5n b\u1eb1ng log c\u1ee7a t\u1ef7 s\u1ed1 odds.<\/p>\n<figure id=\"attachment_26104\" aria-describedby=\"caption-attachment-26104\" style=\"width: 856px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/interdata.vn\/blog\/wp-content\/uploads\/2025\/03\/Bieu-dien-ham-logistic-bang-log-cua-ty-so-odds.png\" alt=\"Bi\u1ec3u di\u1ec5n h\u00e0m logistic b\u1eb1ng log c\u1ee7a t\u1ef7 s\u1ed1 odds \" width=\"856\" height=\"229\" class=\"size-full wp-image-26104\" title=\"\" srcset=\"https:\/\/interdata.vn\/blog\/wp-content\/uploads\/2025\/03\/Bieu-dien-ham-logistic-bang-log-cua-ty-so-odds.png 856w, https:\/\/interdata.vn\/blog\/wp-content\/uploads\/2025\/03\/Bieu-dien-ham-logistic-bang-log-cua-ty-so-odds-300x80.png 300w, https:\/\/interdata.vn\/blog\/wp-content\/uploads\/2025\/03\/Bieu-dien-ham-logistic-bang-log-cua-ty-so-odds-768x205.png 768w, https:\/\/interdata.vn\/blog\/wp-content\/uploads\/2025\/03\/Bieu-dien-ham-logistic-bang-log-cua-ty-so-odds-750x201.png 750w\" sizes=\"auto, (max-width: 856px) 100vw, 856px\" \/><figcaption id=\"caption-attachment-26104\" class=\"wp-caption-text\">Bi\u1ec3u di\u1ec5n h\u00e0m logistic b\u1eb1ng log c\u1ee7a t\u1ef7 s\u1ed1 odds<\/figcaption><\/figure>\n<h2><span class=\"ez-toc-section\" id=\"Cac-thuat-ngu-quan-trong-trong-Logistic-Regression\"><\/span>C\u00e1c thu\u1eadt ng\u1eef quan tr\u1ecdng trong Logistic Regression<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>D\u01b0\u1edbi \u0111\u00e2y l\u00e0 m\u1ed9t s\u1ed1 thu\u1eadt ng\u1eef ph\u1ed5 bi\u1ebfn li\u00ean quan \u0111\u1ebfn h\u1ed3i quy logistic:<\/p>\n<ul>\n<li><strong>Bi\u1ebfn \u0111\u1ed9c l\u1eadp (Independent variables):<\/strong> L\u00e0 c\u00e1c y\u1ebfu t\u1ed1 \u0111\u1ea7u v\u00e0o ho\u1eb7c c\u00e1c bi\u1ebfn d\u1ef1 b\u00e1o \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng \u0111\u1ec3 \u0111\u01b0a ra d\u1ef1 \u0111o\u00e1n v\u1ec1 bi\u1ebfn ph\u1ee5 thu\u1ed9c.<\/li>\n<li><strong>Bi\u1ebfn ph\u1ee5 thu\u1ed9c (Dependent variable):<\/strong> L\u00e0 bi\u1ebfn m\u1ee5c ti\u00eau trong m\u00f4 h\u00ecnh h\u1ed3i quy logistic, t\u1ee9c l\u00e0 bi\u1ebfn c\u1ea7n d\u1ef1 \u0111o\u00e1n.<\/li>\n<li><strong>H\u00e0m logistic (Logistic function):<\/strong> C\u00f4ng th\u1ee9c th\u1ec3 hi\u1ec7n m\u1ed1i quan h\u1ec7 gi\u1eefa bi\u1ebfn \u0111\u1ed9c l\u1eadp v\u00e0 bi\u1ebfn ph\u1ee5 thu\u1ed9c. H\u00e0m logistic gi\u00fap chuy\u1ec3n \u0111\u1ed5i bi\u1ebfn \u0111\u1ea7u v\u00e0o th\u00e0nh m\u1ed9t gi\u00e1 tr\u1ecb x\u00e1c su\u1ea5t t\u1eeb 0 \u0111\u1ebfn 1, th\u1ec3 hi\u1ec7n kh\u1ea3 n\u0103ng bi\u1ebfn ph\u1ee5 thu\u1ed9c c\u00f3 gi\u00e1 tr\u1ecb 1 ho\u1eb7c 0.<\/li>\n<li><strong>T\u1ef7 l\u1ec7 ch\u1ea5p nh\u1eadn (Odds):<\/strong> L\u00e0 t\u1ef7 l\u1ec7 gi\u1eefa kh\u1ea3 n\u0103ng x\u1ea3y ra v\u00e0 kh\u00f4ng x\u1ea3y ra c\u1ee7a m\u1ed9t s\u1ef1 ki\u1ec7n. Kh\u00e1c v\u1edbi x\u00e1c su\u1ea5t (probability), t\u1ef7 l\u1ec7 ch\u1ea5p nh\u1eadn l\u00e0 t\u1ef7 l\u1ec7 gi\u1eefa s\u1ed1 l\u1ea7n x\u1ea3y ra s\u1ef1 ki\u1ec7n so v\u1edbi t\u1ea5t c\u1ea3 c\u00e1c kh\u1ea3 n\u0103ng c\u00f3 th\u1ec3 x\u1ea3y ra.<\/li>\n<li><strong>Log-odds (H\u00e0m logit):<\/strong> L\u00e0 logarit t\u1ef1 nhi\u00ean c\u1ee7a t\u1ef7 l\u1ec7 ch\u1ea5p nh\u1eadn. Trong h\u1ed3i quy logistic, log-odds c\u1ee7a bi\u1ebfn ph\u1ee5 thu\u1ed9c \u0111\u01b0\u1ee3c m\u00f4 h\u00ecnh h\u00f3a nh\u01b0 m\u1ed9t t\u1ed5 h\u1ee3p tuy\u1ebfn t\u00ednh c\u1ee7a c\u00e1c bi\u1ebfn \u0111\u1ed9c l\u1eadp v\u00e0 h\u1ec7 s\u1ed1 ch\u1eb7n.<\/li>\n<li><strong>H\u1ec7 s\u1ed1 h\u1ed3i quy (Coefficient):<\/strong> C\u00e1c <a href=\"https:\/\/interdata.vn\/blog\/tham-so-parameter-la-gi\/\">tham s\u1ed1<\/a> \u01b0\u1edbc l\u01b0\u1ee3ng c\u1ee7a m\u00f4 h\u00ecnh h\u1ed3i quy logistic, th\u1ec3 hi\u1ec7n m\u1ee9c \u0111\u1ed9 \u1ea3nh h\u01b0\u1edfng c\u1ee7a bi\u1ebfn \u0111\u1ed9c l\u1eadp l\u00ean bi\u1ebfn ph\u1ee5 thu\u1ed9c.<\/li>\n<li><strong>H\u1ec7 s\u1ed1 ch\u1eb7n (Intercept):<\/strong> L\u00e0 m\u1ed9t <a href=\"https:\/\/interdata.vn\/blog\/hang-so-la-gi\/\">h\u1eb1ng s\u1ed1<\/a> trong m\u00f4 h\u00ecnh h\u1ed3i quy logistic, \u0111\u1ea1i di\u1ec7n cho log-odds khi t\u1ea5t c\u1ea3 c\u00e1c bi\u1ebfn \u0111\u1ed9c l\u1eadp b\u1eb1ng 0.<\/li>\n<li><strong>\u01af\u1edbc l\u01b0\u1ee3ng h\u1ee3p l\u00fd t\u1ed1i \u0111a (Maximum likelihood estimation &#8211; MLE):<\/strong> L\u00e0 ph\u01b0\u01a1ng ph\u00e1p \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng \u0111\u1ec3 \u01b0\u1edbc l\u01b0\u1ee3ng c\u00e1c h\u1ec7 s\u1ed1 c\u1ee7a m\u00f4 h\u00ecnh h\u1ed3i quy logistic, nh\u1eb1m t\u1ed1i \u0111a h\u00f3a x\u00e1c su\u1ea5t quan s\u00e1t d\u1eef li\u1ec7u theo m\u00f4 h\u00ecnh.<\/li>\n<\/ul>\n<h2><span class=\"ez-toc-section\" id=\"So-sanh-giua-hoi-quy-tuyen-tinh-va-hoi-quy-logistic\"><\/span>So s\u00e1nh gi\u1eefa h\u1ed3i quy tuy\u1ebfn t\u00ednh v\u00e0 h\u1ed3i quy logistic<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>C\u1ea3 <a href=\"https:\/\/interdata.vn\/blog\/hoi-quy-tuyen-tinh\/\">h\u1ed3i quy tuy\u1ebfn t\u00ednh<\/a> v\u00e0 h\u1ed3i quy logistic \u0111\u1ec1u l\u00e0 nh\u1eefng <strong>m\u00f4 h\u00ecnh ph\u1ed5 bi\u1ebfn trong l\u0129nh v\u1ef1c khoa h\u1ecdc d\u1eef li\u1ec7u<\/strong>. Nh\u1edd c\u00e1c c\u00f4ng c\u1ee5 <a href=\"https:\/\/interdata.vn\/blog\/open-source-la-gi\/\">m\u00e3 ngu\u1ed3n m\u1edf<\/a> nh\u01b0 Python v\u00e0 R, qu\u00e1 tr\u00ecnh t\u00ednh to\u00e1n cho hai m\u00f4 h\u00ecnh n\u00e0y tr\u1edf n\u00ean nhanh ch\u00f3ng v\u00e0 d\u1ec5 d\u00e0ng.<\/p>\n<p>H\u1ed3i quy tuy\u1ebfn t\u00ednh \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng \u0111\u1ec3 <strong>x\u00e1c \u0111\u1ecbnh m\u1ed1i quan h\u1ec7 gi\u1eefa m\u1ed9t bi\u1ebfn ph\u1ee5 thu\u1ed9c li\u00ean t\u1ee5c<\/strong> v\u00e0 m\u1ed9t ho\u1eb7c nhi\u1ec1u bi\u1ebfn \u0111\u1ed9c l\u1eadp. Khi ch\u1ec9 c\u00f3 m\u1ed9t bi\u1ebfn \u0111\u1ed9c l\u1eadp v\u00e0 m\u1ed9t bi\u1ebfn ph\u1ee5 thu\u1ed9c, m\u00f4 h\u00ecnh n\u00e0y \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 h\u1ed3i quy tuy\u1ebfn t\u00ednh \u0111\u01a1n gi\u1ea3n.<\/p>\n<p>Khi s\u1ed1 l\u01b0\u1ee3ng bi\u1ebfn \u0111\u1ed9c l\u1eadp t\u0103ng l\u00ean, n\u00f3 \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 h\u1ed3i quy tuy\u1ebfn t\u00ednh b\u1ed9i. V\u1edbi m\u1ed7i lo\u1ea1i h\u1ed3i quy tuy\u1ebfn t\u00ednh, m\u1ee5c ti\u00eau ch\u00ednh l\u00e0 v\u1ebd m\u1ed9t \u0111\u01b0\u1eddng ph\u00f9 h\u1ee3p nh\u1ea5t v\u1edbi t\u1eadp d\u1eef li\u1ec7u, th\u01b0\u1eddng \u0111\u01b0\u1ee3c t\u00ednh to\u00e1n b\u1eb1ng ph\u01b0\u01a1ng ph\u00e1p b\u00ecnh ph\u01b0\u01a1ng t\u1ed1i thi\u1ec3u.<\/p>\n<p>T\u01b0\u01a1ng t\u1ef1 h\u1ed3i quy tuy\u1ebfn t\u00ednh, h\u1ed3i quy logistic c\u0169ng \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng \u0111\u1ec3 <strong>\u01b0\u1edbc t\u00ednh m\u1ed1i quan h\u1ec7 gi\u1eefa m\u1ed9t bi\u1ebfn ph\u1ee5 thu\u1ed9c<\/strong> v\u00e0 m\u1ed9t ho\u1eb7c nhi\u1ec1u bi\u1ebfn \u0111\u1ed9c l\u1eadp. Tuy nhi\u00ean, h\u1ed3i quy logistic \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng \u0111\u1ec3 d\u1ef1 \u0111o\u00e1n bi\u1ebfn ph\u00e2n lo\u1ea1i thay v\u00ec bi\u1ebfn li\u00ean t\u1ee5c. Bi\u1ebfn ph\u00e2n lo\u1ea1i c\u00f3 th\u1ec3 mang gi\u00e1 tr\u1ecb &#8220;\u0111\u00fang&#8221; ho\u1eb7c &#8220;sai&#8221;, &#8220;c\u00f3&#8221; ho\u1eb7c &#8220;kh\u00f4ng&#8221;, &#8220;1&#8221; ho\u1eb7c &#8220;0&#8221;, v.v.<\/p>\n<p>\u0110\u01a1n v\u1ecb \u0111o l\u01b0\u1eddng c\u1ee7a h\u1ed3i quy logistic c\u0169ng kh\u00e1c so v\u1edbi h\u1ed3i quy tuy\u1ebfn t\u00ednh, v\u00ec n\u00f3 t\u1ea1o ra m\u1ed9t gi\u00e1 tr\u1ecb x\u00e1c su\u1ea5t. Ch\u1ee9c n\u0103ng logit gi\u00fap bi\u1ebfn \u0111\u1ed5i \u0111\u01b0\u1eddng cong h\u00ecnh ch\u1eef S th\u00e0nh m\u1ed9t \u0111\u01b0\u1eddng th\u1eb3ng.<\/p>\n<p>M\u1eb7c d\u00f9 c\u1ea3 hai m\u00f4 h\u00ecnh \u0111\u1ec1u \u0111\u01b0\u1ee3c <strong>s\u1eed d\u1ee5ng trong ph\u00e2n t\u00edch h\u1ed3i quy \u0111\u1ec3 d\u1ef1 \u0111o\u00e1n k\u1ebft qu\u1ea3 trong t\u01b0\u01a1ng lai<\/strong>, nh\u01b0ng h\u1ed3i quy tuy\u1ebfn t\u00ednh th\u01b0\u1eddng d\u1ec5 hi\u1ec3u h\u01a1n.<\/p>\n<p>Ngo\u00e0i ra, h\u1ed3i quy tuy\u1ebfn t\u00ednh kh\u00f4ng y\u00eau c\u1ea7u k\u00edch th\u01b0\u1edbc m\u1eabu l\u1edbn nh\u01b0 h\u1ed3i quy logistic, v\u00ec h\u1ed3i quy logistic c\u1ea7n m\u1ed9t m\u1eabu \u0111\u1ea1i di\u1ec7n \u0111\u1ea7y \u0111\u1ee7 cho t\u1ea5t c\u1ea3 c\u00e1c nh\u00f3m ph\u1ea3n h\u1ed3i. N\u1ebfu m\u1eabu kh\u00f4ng \u0111\u1ee7 l\u1edbn ho\u1eb7c kh\u00f4ng \u0111\u1ea1i di\u1ec7n, m\u00f4 h\u00ecnh c\u00f3 th\u1ec3 kh\u00f4ng c\u00f3 \u0111\u1ee7 s\u1ee9c m\u1ea1nh th\u1ed1ng k\u00ea \u0111\u1ec3 ph\u00e1t hi\u1ec7n t\u00e1c \u0111\u1ed9ng c\u00f3 \u00fd ngh\u0129a.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Ung-thuc-te-cua-Logistic-Regression\"><\/span>\u1ee8ng th\u1ef1c t\u1ebf c\u1ee7a Logistic Regression<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>H\u1ed3i quy logistic c\u00f3 nhi\u1ec1u \u1ee9ng d\u1ee5ng th\u1ef1c t\u1ebf trong c\u00e1c ng\u00e0nh c\u00f4ng nghi\u1ec7p kh\u00e1c nhau:<\/p>\n<ul>\n<li><strong>S\u1ea3n xu\u1ea5t:<\/strong> C\u00e1c c\u00f4ng ty s\u1ea3n xu\u1ea5t s\u1eed d\u1ee5ng ph\u00e2n t\u00edch h\u1ed3i quy logistic \u0111\u1ec3 \u01b0\u1edbc t\u00ednh x\u00e1c su\u1ea5t h\u1ecfng h\u00f3c c\u1ee7a c\u00e1c b\u1ed9 ph\u1eadn m\u00e1y m\u00f3c. D\u1ef1a tr\u00ean x\u00e1c su\u1ea5t n\u00e0y, h\u1ecd c\u00f3 th\u1ec3 l\u00ean k\u1ebf ho\u1ea1ch b\u1ea3o tr\u00ec \u0111\u1ec3 gi\u1ea3m thi\u1ec3u s\u1ef1 c\u1ed1 trong t\u01b0\u01a1ng lai, \u0111\u1ea3m b\u1ea3o ho\u1ea1t \u0111\u1ed9ng s\u1ea3n xu\u1ea5t li\u00ean t\u1ee5c.<\/li>\n<li><strong>Ch\u0103m s\u00f3c s\u1ee9c kh\u1ecfe:<\/strong> C\u00e1c nh\u00e0 nghi\u00ean c\u1ee9u y khoa s\u1eed d\u1ee5ng m\u00f4 h\u00ecnh h\u1ed3i quy logistic \u0111\u1ec3 d\u1ef1 \u0111o\u00e1n kh\u1ea3 n\u0103ng m\u1eafc b\u1ec7nh c\u1ee7a b\u1ec7nh nh\u00e2n, t\u1eeb \u0111\u00f3 l\u00ean k\u1ebf ho\u1ea1ch \u0111i\u1ec1u tr\u1ecb v\u00e0 ch\u0103m s\u00f3c d\u1ef1 ph\u00f2ng. H\u1ecd c\u00f3 th\u1ec3 so s\u00e1nh \u1ea3nh h\u01b0\u1edfng c\u1ee7a ti\u1ec1n s\u1eed gia \u0111\u00ecnh ho\u1eb7c y\u1ebfu t\u1ed1 di truy\u1ec1n l\u00ean b\u1ec7nh t\u1eadt.<\/li>\n<li><strong>T\u00e0i ch\u00ednh:<\/strong> C\u00e1c c\u00f4ng ty t\u00e0i ch\u00ednh s\u1eed d\u1ee5ng h\u1ed3i quy logistic \u0111\u1ec3 ph\u00e2n t\u00edch c\u00e1c giao d\u1ecbch t\u00e0i ch\u00ednh, ph\u00e1t hi\u1ec7n gian l\u1eadn, \u0111\u00e1nh gi\u00e1 r\u1ee7i ro t\u00edn d\u1ee5ng v\u00e0 r\u1ee7i ro b\u1ea3o hi\u1ec3m. C\u00e1c b\u00e0i to\u00e1n n\u00e0y ph\u00f9 h\u1ee3p v\u1edbi h\u1ed3i quy logistic v\u00ec k\u1ebft qu\u1ea3 th\u01b0\u1eddng l\u00e0 r\u1eddi r\u1ea1c (v\u00ed d\u1ee5: r\u1ee7i ro cao\/th\u1ea5p, gian l\u1eadn\/kh\u00f4ng gian l\u1eadn).<\/li>\n<li><strong>Marketing (Ti\u1ebfp th\u1ecb):<\/strong> C\u00e1c c\u00f4ng c\u1ee5 qu\u1ea3ng c\u00e1o tr\u1ef1c tuy\u1ebfn s\u1eed d\u1ee5ng m\u00f4 h\u00ecnh h\u1ed3i quy logistic \u0111\u1ec3 d\u1ef1 \u0111o\u00e1n kh\u1ea3 n\u0103ng ng\u01b0\u1eddi d\u00f9ng nh\u1ea5p v\u00e0o qu\u1ea3ng c\u00e1o. Nh\u1edd \u0111\u00f3, c\u00e1c nh\u00e0 ti\u1ebfp th\u1ecb c\u00f3 th\u1ec3 ph\u00e2n t\u00edch ph\u1ea3n \u1ee9ng c\u1ee7a ng\u01b0\u1eddi d\u00f9ng v\u1edbi c\u00e1c th\u00f4ng \u0111i\u1ec7p v\u00e0 h\u00ecnh \u1ea3nh kh\u00e1c nhau, t\u1ea1o ra c\u00e1c chi\u1ebfn d\u1ecbch qu\u1ea3ng c\u00e1o hi\u1ec7u qu\u1ea3, thu h\u00fat kh\u00e1ch h\u00e0ng.<\/li>\n<\/ul>\n<p><strong>H\u1ed3i quy logistic<\/strong> l\u00e0 m\u1ed9t ph\u01b0\u01a1ng ph\u00e1p ph\u00e2n t\u00edch d\u1eef li\u1ec7u m\u1ea1nh m\u1ebd, h\u1ed7 tr\u1ee3 doanh nghi\u1ec7p v\u00e0 t\u1ed5 ch\u1ee9c \u0111\u01b0a ra d\u1ef1 \u0111o\u00e1n ch\u00ednh x\u00e1c trong nhi\u1ec1u l\u0129nh v\u1ef1c kh\u00e1c nhau. V\u1edbi kh\u1ea3 n\u0103ng x\u1eed l\u00fd d\u1eef li\u1ec7u nhanh, d\u1ec5 tri\u1ec3n khai v\u00e0 ph\u00f9 h\u1ee3p cho c\u00e1c b\u00e0i to\u00e1n ph\u00e2n lo\u1ea1i, m\u00f4 h\u00ecnh n\u00e0y tr\u1edf th\u00e0nh l\u1ef1a ch\u1ecdn ph\u1ed5 bi\u1ebfn trong khoa h\u1ecdc d\u1eef li\u1ec7u v\u00e0 tr\u00ed tu\u1ec7 nh\u00e2n t\u1ea1o.<\/p>\n<p>V\u1edbi s\u1ef1 ph\u00e1t tri\u1ec3n c\u1ee7a c\u00f4ng ngh\u1ec7 v\u00e0 nhu c\u1ea7u t\u00ednh to\u00e1n ng\u00e0y c\u00e0ng cao, vi\u1ec7c l\u1ef1a ch\u1ecdn m\u1ed9t gi\u1ea3i ph\u00e1p l\u01b0u tr\u1eef ph\u00f9 h\u1ee3p \u0111\u00f3ng vai tr\u00f2 quan tr\u1ecdng trong vi\u1ec7c v\u1eadn h\u00e0nh c\u00e1c m\u00f4 h\u00ecnh ph\u00e2n t\u00edch d\u1eef li\u1ec7u. D\u1ecbch v\u1ee5 <a href=\"https:\/\/interdata.vn\/thue-vps\/\">thu\u00ea VPS ch\u1ea5t l\u01b0\u1ee3ng gi\u00e1 r\u1ebb<\/a> t\u1ea1i InterData cung c\u1ea5p h\u1ea1 t\u1ea7ng ph\u1ea7n c\u1ee9ng th\u1ebf h\u1ec7 m\u1edbi, s\u1eed d\u1ee5ng <strong><a href=\"https:\/\/interdata.vn\/blog\/cpu-server\/\">CPU<\/a> AMD EPYC\/Intel Xeon Platinum m\u1ea1nh m\u1ebd, <a href=\"https:\/\/interdata.vn\/blog\/o-cung-ssd-nvme-la-gi\/\">\u1ed5 c\u1ee9ng SSD NVMe<\/a> U.2 t\u1ed1c \u0111\u1ed9 cao<\/strong>, \u0111\u1ea3m b\u1ea3o hi\u1ec7u su\u1ea5t t\u1ed1i \u01b0u cho c\u00e1c t\u00e1c v\u1ee5 t\u00ednh to\u00e1n v\u00e0 x\u1eed l\u00fd d\u1eef li\u1ec7u l\u1edbn.<\/p>\n<p>N\u1ebfu b\u1ea1n c\u1ea7n m\u1ed9t h\u1ec7 th\u1ed1ng l\u01b0u tr\u1eef m\u1ea1nh m\u1ebd h\u01a1n v\u1edbi kh\u1ea3 n\u0103ng m\u1edf r\u1ed9ng linh ho\u1ea1t, d\u1ecbch v\u1ee5 <a href=\"https:\/\/interdata.vn\/cloud-server\/\">thu\u00ea Cloud Server gi\u00e1 r\u1ebb t\u1ed1c \u0111\u1ed9 cao<\/a> l\u00e0 l\u1ef1a ch\u1ecdn l\u00fd t\u01b0\u1edfng. <a href=\"https:\/\/interdata.vn\/blog\/may-chu-server-la-gi\/\">M\u00e1y ch\u1ee7<\/a> s\u1eed d\u1ee5ng c\u00f4ng ngh\u1ec7 <a href=\"https:\/\/interdata.vn\/blog\/cloud-computing-la-gi\/\">\u0111i\u1ec7n to\u00e1n \u0111\u00e1m m\u00e2y<\/a> ti\u00ean ti\u1ebfn, cho ph\u00e9p n\u00e2ng c\u1ea5p t\u00e0i nguy\u00ean nhanh ch\u00f3ng, t\u1ed1i \u01b0u dung l\u01b0\u1ee3ng, <a href=\"https:\/\/interdata.vn\/blog\/bang-thong-la-gi\/\">b\u0103ng th\u00f4ng<\/a> cao, gi\u00fap v\u1eadn h\u00e0nh c\u00e1c \u1ee9ng d\u1ee5ng ph\u00e2n t\u00edch d\u1eef li\u1ec7u m\u01b0\u1ee3t m\u00e0, \u1ed5n \u0111\u1ecbnh. H\u00e3y li\u00ean h\u1ec7 ngay \u0111\u1ec3 \u0111\u01b0\u1ee3c t\u01b0 v\u1ea5n gi\u1ea3i ph\u00e1p ph\u00f9 h\u1ee3p v\u1edbi nhu c\u1ea7u c\u1ee7a b\u1ea1n!<\/p>\n<p><strong>INTERDATA<\/strong><\/p>\n<ul>\n<li><strong>Website:<\/strong>\u00a0Interdata.vn<\/li>\n<li><strong>Hotline:<\/strong>\u00a01900-636822<\/li>\n<li><strong>Email:<\/strong>\u00a0Info@interdata.vn<\/li>\n<li><strong>VP\u0110D:<\/strong>\u00a0240 Nguy\u1ec5n \u0110\u00ecnh Ch\u00ednh, P.11. Q. Ph\u00fa Nhu\u1eadn, TP. Ho\u0302\u0300 Ch\u00ed Minh<\/li>\n<li><strong>VPGD:<\/strong>\u00a0S\u1ed1 211 \u0110\u01b0\u1eddng s\u1ed1 5, K\u0110T Lakeview City, P. An Ph\u00fa, TP. Th\u1ee7 \u0110\u1ee9c, TP. H\u1ed3 Ch\u00ed Minh<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Trong l\u0129nh v\u1ef1c ph\u00e2n t\u00edch d\u1eef li\u1ec7u v\u00e0 h\u1ecdc m\u00e1y, h\u1ed3i quy logistic (Logistic Regression) l\u00e0 m\u1ed9t c\u00f4ng c\u1ee5 quan tr\u1ecdng gi\u00fap d\u1ef1 \u0111o\u00e1n k\u1ebft qu\u1ea3 c\u1ee7a c\u00e1c bi\u1ebfn ph\u00e2n lo\u1ea1i. V\u1edbi kh\u1ea3 n\u0103ng \u1ee9ng d\u1ee5ng r\u1ed9ng r\u00e3i, t\u1eeb t\u00e0i ch\u00ednh, y t\u1ebf \u0111\u1ebfn ti\u1ebfp th\u1ecb, m\u00f4 h\u00ecnh n\u00e0y gi\u00fap c\u00e1c t\u1ed5 ch\u1ee9c khai th\u00e1c<\/p>\n","protected":false},"author":11,"featured_media":26110,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[108],"tags":[],"class_list":["post-26085","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-ai"],"_links":{"self":[{"href":"https:\/\/interdata.vn\/blog\/wp-json\/wp\/v2\/posts\/26085","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/interdata.vn\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/interdata.vn\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/interdata.vn\/blog\/wp-json\/wp\/v2\/users\/11"}],"replies":[{"embeddable":true,"href":"https:\/\/interdata.vn\/blog\/wp-json\/wp\/v2\/comments?post=26085"}],"version-history":[{"count":2,"href":"https:\/\/interdata.vn\/blog\/wp-json\/wp\/v2\/posts\/26085\/revisions"}],"predecessor-version":[{"id":26154,"href":"https:\/\/interdata.vn\/blog\/wp-json\/wp\/v2\/posts\/26085\/revisions\/26154"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/interdata.vn\/blog\/wp-json\/wp\/v2\/media\/26110"}],"wp:attachment":[{"href":"https:\/\/interdata.vn\/blog\/wp-json\/wp\/v2\/media?parent=26085"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/interdata.vn\/blog\/wp-json\/wp\/v2\/categories?post=26085"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/interdata.vn\/blog\/wp-json\/wp\/v2\/tags?post=26085"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}