{"id":5051,"date":"2026-09-17T05:17:50","date_gmt":"2026-09-17T05:17:50","guid":{"rendered":"https:\/\/otus.ru\/journal\/?p=5051"},"modified":"2026-09-17T05:19:51","modified_gmt":"2026-09-17T05:19:51","slug":"chto-nuzhno-znat-o-regressii","status":"publish","type":"post","link":"https:\/\/otus.ru\/journal\/chto-nuzhno-znat-o-regressii\/","title":{"rendered":"\u0427\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u044f: \u043b\u0438\u043d\u0435\u0439\u043d\u0430\u044f \u043c\u043e\u0434\u0435\u043b\u044c, \u041c\u041d\u041a \u0438 \u0432\u0438\u0434\u044b \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438"},"content":{"rendered":"<p><strong>\u0420\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u044f<\/strong> &#8212; \u044d\u0442\u043e \u043c\u0435\u0442\u043e\u0434 \u043c\u0430\u0448\u0438\u043d\u043d\u043e\u0433\u043e \u043e\u0431\u0443\u0447\u0435\u043d\u0438\u044f \u0438 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u043a\u0438, \u043a\u043e\u0442\u043e\u0440\u044b\u0439 \u043f\u0440\u0435\u0434\u0441\u043a\u0430\u0437\u044b\u0432\u0430\u0435\u0442 \u0447\u0438\u0441\u043b\u043e\u0432\u0443\u044e \u0432\u0435\u043b\u0438\u0447\u0438\u043d\u0443 (\u0446\u0435\u043d\u0443, \u0442\u0435\u043c\u043f\u0435\u0440\u0430\u0442\u0443\u0440\u0443, \u0441\u043f\u0440\u043e\u0441) \u043f\u043e \u043e\u0434\u043d\u043e\u043c\u0443 \u0438\u043b\u0438 \u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u0438\u043c \u0432\u0445\u043e\u0434\u043d\u044b\u043c \u043f\u0440\u0438\u0437\u043d\u0430\u043a\u0430\u043c. \u041c\u043e\u0434\u0435\u043b\u044c \u043f\u043e\u0434\u0431\u0438\u0440\u0430\u0435\u0442 \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u0441\u0432\u044f\u0437\u0438 \u043c\u0435\u0436\u0434\u0443 \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u044b\u043c\u0438 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u043c\u0438 x \u0438 \u0437\u0430\u0432\u0438\u0441\u0438\u043c\u043e\u0439 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439 y \u0442\u0430\u043a, \u0447\u0442\u043e\u0431\u044b \u0435\u0435 \u043f\u0440\u0435\u0434\u0441\u043a\u0430\u0437\u0430\u043d\u0438\u044f \u0431\u044b\u043b\u0438 \u043a\u0430\u043a \u043c\u043e\u0436\u043d\u043e \u0431\u043b\u0438\u0436\u0435 \u043a \u0440\u0435\u0430\u043b\u044c\u043d\u044b\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f\u043c.<\/p>\n<div class=\"oj-toc\" style=\"background:#f6f6f6;border-radius:8px;padding:14px 20px;margin:20px 0\">\n<p><strong>\u0421\u043e\u0434\u0435\u0440\u0436\u0430\u043d\u0438\u0435<\/strong><\/p>\n<ol>\n<li><a href=\"#s1\">\u0420\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u044f, \u043a\u043b\u0430\u0441\u0441\u0438\u0444\u0438\u043a\u0430\u0446\u0438\u044f \u0438 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u043e\u043d\u043d\u043e\u0435 \u0442\u0435\u0441\u0442\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435<\/a><\/li>\n<li><a href=\"#s2\">\u041f\u0440\u043e\u0441\u0442\u0430\u044f \u043b\u0438\u043d\u0435\u0439\u043d\u0430\u044f \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u044f<\/a><\/li>\n<li><a href=\"#s3\">\u0412\u0438\u0434\u044b \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438<\/a><\/li>\n<li><a href=\"#s4\">\u0422\u0438\u043f\u0438\u0447\u043d\u044b\u0435 \u043e\u0448\u0438\u0431\u043a\u0438 \u0438 \u0433\u0440\u0430\u043d\u0438\u0446\u044b<\/a><\/li>\n<li><a href=\"#s5\">\u0412\u044b\u0432\u043e\u0434\u044b<\/a><\/li>\n<li><a href=\"#s6\">\u0413\u0434\u0435 \u043f\u0440\u0438\u043c\u0435\u043d\u044f\u0435\u0442\u0441\u044f \u0438 \u0447\u0442\u043e \u0443\u0447\u0438\u0442\u044c \u0434\u0430\u043b\u044c\u0448\u0435<\/a><\/li>\n<li><a href=\"#s7\">FAQ<\/a><\/li>\n<\/ol>\n<\/div>\n<p>\u041d\u0438\u0436\u0435 \u0440\u0430\u0437\u0431\u0435\u0440\u0435\u043c, \u0447\u0435\u043c \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u044f \u043e\u0442\u043b\u0438\u0447\u0430\u0435\u0442\u0441\u044f \u043e\u0442 \u043a\u043b\u0430\u0441\u0441\u0438\u0444\u0438\u043a\u0430\u0446\u0438\u0438 \u0438 \u043e\u0442 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u043e\u043d\u043d\u043e\u0433\u043e \u0442\u0435\u0441\u0442\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u044f, \u043a\u0430\u043a \u0443\u0441\u0442\u0440\u043e\u0435\u043d\u0430 \u043f\u0440\u043e\u0441\u0442\u0430\u044f \u043b\u0438\u043d\u0435\u0439\u043d\u0430\u044f \u043c\u043e\u0434\u0435\u043b\u044c Y = a + bx, \u0447\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u043c\u0435\u0442\u043e\u0434 \u043d\u0430\u0438\u043c\u0435\u043d\u044c\u0448\u0438\u0445 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043e\u0432 \u0438 \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442 R^2, \u043a\u0430\u043a\u0438\u0435 \u0431\u044b\u0432\u0430\u044e\u0442 \u0432\u0438\u0434\u044b \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438 \u0438 \u0433\u0434\u0435 \u043f\u0440\u043e\u0445\u043e\u0434\u0438\u0442 \u0433\u0440\u0430\u043d\u0438\u0446\u0430 \u0438\u0445 \u043f\u0440\u0438\u043c\u0435\u043d\u0438\u043c\u043e\u0441\u0442\u0438. \u041f\u0440\u0438\u043c\u0435\u0440\u044b \u043d\u0430 Python \u0437\u0430\u043f\u0443\u0449\u0435\u043d\u044b, \u0432\u044b\u0432\u043e\u0434 \u0432 \u0441\u0442\u0430\u0442\u044c\u0435 &#8212; \u0440\u0435\u0430\u043b\u044c\u043d\u044b\u0439.<\/p>\n<h2 id=\"s1\">\u0420\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u044f, \u043a\u043b\u0430\u0441\u0441\u0438\u0444\u0438\u043a\u0430\u0446\u0438\u044f \u0438 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u043e\u043d\u043d\u043e\u0435 \u0442\u0435\u0441\u0442\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435<\/h2>\n<p>\u0420\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u044f \u043f\u0440\u0435\u0434\u0441\u043a\u0430\u0437\u044b\u0432\u0430\u0435\u0442 \u043d\u0435\u043f\u0440\u0435\u0440\u044b\u0432\u043d\u043e\u0435 \u0447\u0438\u0441\u043b\u043e: \u0441\u043a\u043e\u043b\u044c\u043a\u043e \u0431\u0443\u0434\u0435\u0442 \u0441\u0442\u043e\u0438\u0442\u044c \u043a\u0432\u0430\u0440\u0442\u0438\u0440\u0430, \u043a\u0430\u043a\u043e\u0439 \u043e\u0436\u0438\u0434\u0430\u0435\u0442\u0441\u044f \u0441\u043f\u0440\u043e\u0441. \u0415\u0441\u043b\u0438 \u0436\u0435 \u043d\u0443\u0436\u043d\u043e \u043f\u0440\u0435\u0434\u0441\u043a\u0430\u0437\u0430\u0442\u044c \u043d\u0435 \u0447\u0438\u0441\u043b\u043e, \u0430 \u043a\u0430\u0442\u0435\u0433\u043e\u0440\u0438\u044e (\u0441\u043f\u0430\u043c \u0438\u043b\u0438 \u043d\u0435 \u0441\u043f\u0430\u043c, \u043a\u0443\u043f\u0438\u0442 \u0438\u043b\u0438 \u043d\u0435\u0442), \u044d\u0442\u043e \u0443\u0436\u0435 \u0437\u0430\u0434\u0430\u0447\u0430 \u043a\u043b\u0430\u0441\u0441\u0438\u0444\u0438\u043a\u0430\u0446\u0438\u0438, \u0430 \u043d\u0435 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438. \u0420\u0430\u0437\u043d\u0438\u0446\u0430 &#8212; \u0432 \u0442\u0438\u043f\u0435 \u043e\u0442\u0432\u0435\u0442\u0430 \u043c\u043e\u0434\u0435\u043b\u0438, \u0430 \u043d\u0435 \u0432 \u0441\u0430\u043c\u0438\u0445 \u0434\u0430\u043d\u043d\u044b\u0445.<\/p>\n<p>\u041e\u0442\u0434\u0435\u043b\u044c\u043d\u043e \u0441\u0442\u043e\u0438\u0442 \u0440\u0430\u0437\u0432\u0435\u0441\u0442\u0438 \u0434\u0432\u0430 \u0441\u043e\u0437\u0432\u0443\u0447\u043d\u044b\u0445 \u0442\u0435\u0440\u043c\u0438\u043d\u0430. <strong>\u0420\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u044f \u0432 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u043a\u0435 \u0438 ML<\/strong> &#8212; \u044d\u0442\u043e \u043c\u043e\u0434\u0435\u043b\u044c \u043f\u0440\u0435\u0434\u0441\u043a\u0430\u0437\u0430\u043d\u0438\u044f. <strong>\u0420\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u043e\u043d\u043d\u043e\u0435 \u0442\u0435\u0441\u0442\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435<\/strong> \u0432 \u0440\u0430\u0437\u0440\u0430\u0431\u043e\u0442\u043a\u0435 &#8212; \u044d\u0442\u043e \u043f\u0440\u043e\u0432\u0435\u0440\u043a\u0430 \u0442\u043e\u0433\u043e, \u0447\u0442\u043e \u043d\u043e\u0432\u043e\u0435 \u0438\u0437\u043c\u0435\u043d\u0435\u043d\u0438\u0435 \u043a\u043e\u0434\u0430 \u043d\u0435 \u0441\u043b\u043e\u043c\u0430\u043b\u043e \u0443\u0436\u0435 \u0440\u0430\u0431\u043e\u0442\u0430\u0432\u0448\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u043e\u043d\u0430\u043b\u044c\u043d\u043e\u0441\u0442\u044c. \u041e\u0431\u0449\u0435\u0433\u043e \u0443 \u043d\u0438\u0445 \u0442\u043e\u043b\u044c\u043a\u043e \u043b\u0430\u0442\u0438\u043d\u0441\u043a\u0438\u0439 \u043a\u043e\u0440\u0435\u043d\u044c \u00ab\u0434\u0432\u0438\u0436\u0435\u043d\u0438\u0435 \u043d\u0430\u0437\u0430\u0434\u00bb; \u0435\u0441\u043b\u0438 \u0432\u044b \u0438\u0441\u043a\u0430\u043b\u0438 \u0432\u0442\u043e\u0440\u0443\u044e \u0442\u0435\u043c\u0443, \u0441\u043c\u043e\u0442\u0440\u0438\u0442\u0435 \u0441\u0442\u0430\u0442\u044c\u044e \u043f\u0440\u043e <a href=\"https:\/\/otus.ru\/journal\/chto-nuzhno-znat-o-regressionnom-testirovanii\/\">\u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u043e\u043d\u043d\u043e\u0435 \u0442\u0435\u0441\u0442\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435<\/a>. \u0414\u0430\u043b\u044c\u0448\u0435 \u0440\u0435\u0447\u044c \u0442\u043e\u043b\u044c\u043a\u043e \u043e \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u0439 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438.<\/p>\n<h2 id=\"s2\">\u041f\u0440\u043e\u0441\u0442\u0430\u044f \u043b\u0438\u043d\u0435\u0439\u043d\u0430\u044f \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u044f<\/h2>\n<p>\u041f\u0440\u043e\u0441\u0442\u0430\u044f \u043b\u0438\u043d\u0435\u0439\u043d\u0430\u044f \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u044f &#8212; \u044d\u0442\u043e \u043c\u043e\u0434\u0435\u043b\u044c, \u043a\u043e\u0442\u043e\u0440\u0430\u044f \u043e\u043f\u0438\u0441\u044b\u0432\u0430\u0435\u0442 \u0441\u0432\u044f\u0437\u044c \u0434\u0432\u0443\u0445 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0445 \u043f\u0440\u044f\u043c\u043e\u0439 \u043b\u0438\u043d\u0438\u0435\u0439. \u0415\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435:<\/p>\n<p>Y = a + b*x<\/p>\n<ul>\n<li><strong>Y<\/strong> &#8212; \u043f\u0440\u0435\u0434\u0441\u043a\u0430\u0437\u0430\u043d\u043d\u043e\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 (\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u0430\u044f \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u0430\u044f, \u043e\u0442\u043a\u043b\u0438\u043a).<\/li>\n<li><strong>x<\/strong> &#8212; \u0432\u0445\u043e\u0434\u043d\u043e\u0439 \u043f\u0440\u0438\u0437\u043d\u0430\u043a (\u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u0430\u044f \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u0430\u044f, \u043f\u0440\u0435\u0434\u0438\u043a\u0442\u043e\u0440).<\/li>\n<li><strong>b<\/strong> &#8212; \u043d\u0430\u043a\u043b\u043e\u043d (\u0443\u0433\u043b\u043e\u0432\u043e\u0439 \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442): \u043d\u0430 \u0441\u043a\u043e\u043b\u044c\u043a\u043e \u043c\u0435\u043d\u044f\u0435\u0442\u0441\u044f Y \u043f\u0440\u0438 \u0440\u043e\u0441\u0442\u0435 x \u043d\u0430 \u0435\u0434\u0438\u043d\u0438\u0446\u0443.<\/li>\n<li><strong>a<\/strong> &#8212; \u0441\u0432\u043e\u0431\u043e\u0434\u043d\u044b\u0439 \u0447\u043b\u0435\u043d (\u043f\u0435\u0440\u0435\u0441\u0435\u0447\u0435\u043d\u0438\u0435): \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 Y \u043f\u0440\u0438 x = 0.<\/li>\n<\/ul>\n<p>\u0417\u0430\u0434\u0430\u0447\u0430 \u043e\u0431\u0443\u0447\u0435\u043d\u0438\u044f &#8212; \u043f\u043e\u0434\u043e\u0431\u0440\u0430\u0442\u044c \u0442\u0430\u043a\u0438\u0435 a \u0438 b, \u0447\u0442\u043e\u0431\u044b \u043f\u0440\u044f\u043c\u0430\u044f \u043f\u0440\u043e\u0448\u043b\u0430 \u043a\u0430\u043a \u043c\u043e\u0436\u043d\u043e \u0431\u043b\u0438\u0436\u0435 \u043a \u0442\u043e\u0447\u043a\u0430\u043c \u043d\u0430\u0431\u043b\u044e\u0434\u0435\u043d\u0438\u0439. \u00ab\u0411\u043b\u0438\u0436\u0435\u00bb \u0444\u043e\u0440\u043c\u0430\u043b\u0438\u0437\u0443\u044e\u0442 \u0447\u0435\u0440\u0435\u0437 \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u043f\u043e\u0442\u0435\u0440\u044c: \u0441\u0447\u0438\u0442\u0430\u044e\u0442, \u043d\u0430\u0441\u043a\u043e\u043b\u044c\u043a\u043e \u043f\u0440\u0435\u0434\u0441\u043a\u0430\u0437\u0430\u043d\u0438\u044f \u043e\u0442\u043a\u043b\u043e\u043d\u044f\u044e\u0442\u0441\u044f \u043e\u0442 \u0440\u0435\u0430\u043b\u044c\u043d\u044b\u0445 y, \u0438 \u043c\u0438\u043d\u0438\u043c\u0438\u0437\u0438\u0440\u0443\u044e\u0442 \u044d\u0442\u043e \u043e\u0442\u043a\u043b\u043e\u043d\u0435\u043d\u0438\u0435.<\/p>\n<h3>\u041c\u0435\u0442\u043e\u0434 \u043d\u0430\u0438\u043c\u0435\u043d\u044c\u0448\u0438\u0445 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043e\u0432<\/h3>\n<p>\u0421\u0442\u0430\u043d\u0434\u0430\u0440\u0442\u043d\u044b\u0439 \u0441\u043f\u043e\u0441\u043e\u0431 \u043f\u043e\u0434\u0431\u043e\u0440\u0430 a \u0438 b &#8212; \u043c\u0435\u0442\u043e\u0434 \u043d\u0430\u0438\u043c\u0435\u043d\u044c\u0448\u0438\u0445 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043e\u0432 (\u041c\u041d\u041a). \u0414\u043b\u044f \u043a\u0430\u0436\u0434\u043e\u0439 \u0442\u043e\u0447\u043a\u0438 \u0431\u0435\u0440\u0443\u0442 \u043e\u0441\u0442\u0430\u0442\u043e\u043a &#8212; \u0432\u0435\u0440\u0442\u0438\u043a\u0430\u043b\u044c\u043d\u043e\u0435 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u043e\u0442 \u0442\u043e\u0447\u043a\u0438 \u0434\u043e \u043b\u0438\u043d\u0438\u0438, &#8212; \u0432\u043e\u0437\u0432\u043e\u0434\u044f\u0442 \u0435\u0433\u043e \u0432 \u043a\u0432\u0430\u0434\u0440\u0430\u0442 \u0438 \u0441\u043a\u043b\u0430\u0434\u044b\u0432\u0430\u044e\u0442. \u041d\u0430\u0438\u043b\u0443\u0447\u0448\u0430\u044f \u043f\u0440\u044f\u043c\u0430\u044f \u0442\u0430, \u0443 \u043a\u043e\u0442\u043e\u0440\u043e\u0439 \u0441\u0443\u043c\u043c\u0430 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043e\u0432 \u043e\u0441\u0442\u0430\u0442\u043a\u043e\u0432 \u043c\u0438\u043d\u0438\u043c\u0430\u043b\u044c\u043d\u0430.<\/p>\n<p>\u0412\u043e\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u0432 \u043a\u0432\u0430\u0434\u0440\u0430\u0442 \u043d\u0443\u0436\u043d\u043e \u043f\u043e \u0434\u0432\u0443\u043c \u043f\u0440\u0438\u0447\u0438\u043d\u0430\u043c: \u043e\u043d\u043e \u0443\u0431\u0438\u0440\u0430\u0435\u0442 \u0437\u043d\u0430\u043a (\u043d\u0435\u0434\u043e\u043b\u0435\u0442 \u0438 \u043f\u0435\u0440\u0435\u043b\u0435\u0442 \u043d\u0435 \u0432\u0437\u0430\u0438\u043c\u043e\u0443\u043d\u0438\u0447\u0442\u043e\u0436\u0430\u044e\u0442\u0441\u044f) \u0438 \u0441\u0438\u043b\u044c\u043d\u0435\u0435 \u0448\u0442\u0440\u0430\u0444\u0443\u0435\u0442 \u043a\u0440\u0443\u043f\u043d\u044b\u0435 \u043f\u0440\u043e\u043c\u0430\u0445\u0438. \u0414\u043b\u044f \u043f\u0440\u043e\u0441\u0442\u043e\u0439 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438 \u0443 \u041c\u041d\u041a \u0435\u0441\u0442\u044c \u0442\u043e\u0447\u043d\u044b\u0435 \u0444\u043e\u0440\u043c\u0443\u043b\u044b, \u0438\u0445 \u0432\u0438\u0434\u043d\u043e \u0432 \u043a\u043e\u0434\u0435 \u043d\u0438\u0436\u0435: \u043d\u0430\u043a\u043b\u043e\u043d &#8212; \u044d\u0442\u043e \u043a\u043e\u0432\u0430\u0440\u0438\u0430\u0446\u0438\u044f x \u0438 y, \u0434\u0435\u043b\u0435\u043d\u043d\u0430\u044f \u043d\u0430 \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0438\u044e x.<\/p>\n<p>\u0421\u043e\u0431\u0435\u0440\u0435\u043c \u043c\u043e\u0434\u0435\u043b\u044c \u043d\u0430 \u043c\u0430\u043b\u0435\u043d\u044c\u043a\u043e\u043c \u043d\u0430\u0431\u043e\u0440\u0435 \u00ab\u043f\u043b\u043e\u0449\u0430\u0434\u044c \u043a\u0432\u0430\u0440\u0442\u0438\u0440\u044b -&gt; \u0446\u0435\u043d\u0430\u00bb \u0431\u0435\u0437 \u0441\u0442\u043e\u0440\u043e\u043d\u043d\u0438\u0445 \u0431\u0438\u0431\u043b\u0438\u043e\u0442\u0435\u043a, \u0447\u0442\u043e\u0431\u044b \u0444\u043e\u0440\u043c\u0443\u043b\u0430 \u0431\u044b\u043b\u0430 \u0432\u0438\u0434\u043d\u0430 \u0446\u0435\u043b\u0438\u043a\u043e\u043c:<\/p>\n<pre style=\"background:#282c34;color:#abb2bf;border-radius:8px;padding:16px 20px;margin:20px 0;overflow-x:auto;font-size:14px;line-height:1.55;font-family:ui-monospace,SFMono-Regular,Menlo,Consolas,monospace\"><code style=\"background:none\"><span style=\"color: #7F848E\"># \u041f\u0440\u043e\u0441\u0442\u0430\u044f \u043b\u0438\u043d\u0435\u0439\u043d\u0430\u044f \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u044f \u043c\u0435\u0442\u043e\u0434\u043e\u043c \u043d\u0430\u0438\u043c\u0435\u043d\u044c\u0448\u0438\u0445 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043e\u0432 (\u041c\u041d\u041a), \u0431\u0435\u0437 \u0431\u0438\u0431\u043b\u0438\u043e\u0442\u0435\u043a.<\/span>\n<span style=\"color: #7F848E\"># \u0414\u0430\u043d\u043d\u044b\u0435: \u043f\u043b\u043e\u0449\u0430\u0434\u044c \u043a\u0432\u0430\u0440\u0442\u0438\u0440\u044b (\u043a\u0432. \u043c) -&gt; \u0446\u0435\u043d\u0430 (\u043c\u043b\u043d \u0440\u0443\u0431).<\/span>\n<span style=\"color: #E06C75\">x<\/span> <span style=\"color: #56B6C2\">=<\/span> <span style=\"color: #ABB2BF\">[<\/span><span style=\"color: #D19A66\">28<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #D19A66\">33<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #D19A66\">41<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #D19A66\">45<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #D19A66\">52<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #D19A66\">60<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #D19A66\">68<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #D19A66\">75<\/span><span style=\"color: #ABB2BF\">]<\/span>\n<span style=\"color: #E06C75\">y<\/span> <span style=\"color: #56B6C2\">=<\/span> <span style=\"color: #ABB2BF\">[<\/span><span style=\"color: #D19A66\">3.1<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #D19A66\">3.6<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #D19A66\">4.2<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #D19A66\">4.7<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #D19A66\">5.4<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #D19A66\">6.1<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #D19A66\">6.8<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #D19A66\">7.6<\/span><span style=\"color: #ABB2BF\">]<\/span>\n\n<span style=\"color: #E06C75\">n<\/span> <span style=\"color: #56B6C2\">=<\/span> <span style=\"color: #E5C07B\">len<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #E06C75\">x<\/span><span style=\"color: #ABB2BF\">)<\/span>\n<span style=\"color: #E06C75\">mx<\/span> <span style=\"color: #56B6C2\">=<\/span> <span style=\"color: #E5C07B\">sum<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #E06C75\">x<\/span><span style=\"color: #ABB2BF\">)<\/span> <span style=\"color: #56B6C2\">\/<\/span> <span style=\"color: #E06C75\">n<\/span>            <span style=\"color: #7F848E\"># \u0441\u0440\u0435\u0434\u043d\u0435\u0435 \u043f\u043e x<\/span>\n<span style=\"color: #E06C75\">my<\/span> <span style=\"color: #56B6C2\">=<\/span> <span style=\"color: #E5C07B\">sum<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #E06C75\">y<\/span><span style=\"color: #ABB2BF\">)<\/span> <span style=\"color: #56B6C2\">\/<\/span> <span style=\"color: #E06C75\">n<\/span>            <span style=\"color: #7F848E\"># \u0441\u0440\u0435\u0434\u043d\u0435\u0435 \u043f\u043e y<\/span>\n\n<span style=\"color: #7F848E\"># \u041a\u043e\u0432\u0430\u0440\u0438\u0430\u0446\u0438\u044f \u0438 \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0438\u044f x (\u0447\u0438\u0441\u043b\u0438\u0442\u0435\u043b\u044c \u0438 \u0437\u043d\u0430\u043c\u0435\u043d\u0430\u0442\u0435\u043b\u044c \u0444\u043e\u0440\u043c\u0443\u043b\u044b \u043d\u0430\u043a\u043b\u043e\u043d\u0430)<\/span>\n<span style=\"color: #E06C75\">Sxy<\/span> <span style=\"color: #56B6C2\">=<\/span> <span style=\"color: #E5C07B\">sum<\/span><span style=\"color: #ABB2BF\">((<\/span><span style=\"color: #E06C75\">xi<\/span> <span style=\"color: #56B6C2\">-<\/span> <span style=\"color: #E06C75\">mx<\/span><span style=\"color: #ABB2BF\">)<\/span> <span style=\"color: #56B6C2\">*<\/span> <span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #E06C75\">yi<\/span> <span style=\"color: #56B6C2\">-<\/span> <span style=\"color: #E06C75\">my<\/span><span style=\"color: #ABB2BF\">)<\/span> <span style=\"color: #C678DD\">for<\/span> <span style=\"color: #E06C75\">xi<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #E06C75\">yi<\/span> <span style=\"color: #56B6C2\">in<\/span> <span style=\"color: #E5C07B\">zip<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #E06C75\">x<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #E06C75\">y<\/span><span style=\"color: #ABB2BF\">))<\/span>\n<span style=\"color: #E06C75\">Sxx<\/span> <span style=\"color: #56B6C2\">=<\/span> <span style=\"color: #E5C07B\">sum<\/span><span style=\"color: #ABB2BF\">((<\/span><span style=\"color: #E06C75\">xi<\/span> <span style=\"color: #56B6C2\">-<\/span> <span style=\"color: #E06C75\">mx<\/span><span style=\"color: #ABB2BF\">)<\/span> <span style=\"color: #56B6C2\">**<\/span> <span style=\"color: #D19A66\">2<\/span> <span style=\"color: #C678DD\">for<\/span> <span style=\"color: #E06C75\">xi<\/span> <span style=\"color: #56B6C2\">in<\/span> <span style=\"color: #E06C75\">x<\/span><span style=\"color: #ABB2BF\">)<\/span>\n\n<span style=\"color: #E06C75\">b<\/span> <span style=\"color: #56B6C2\">=<\/span> <span style=\"color: #E06C75\">Sxy<\/span> <span style=\"color: #56B6C2\">\/<\/span> <span style=\"color: #E06C75\">Sxx<\/span>              <span style=\"color: #7F848E\"># \u043d\u0430\u043a\u043b\u043e\u043d (\u0443\u0433\u043b\u043e\u0432\u043e\u0439 \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442)<\/span>\n<span style=\"color: #E06C75\">a<\/span> <span style=\"color: #56B6C2\">=<\/span> <span style=\"color: #E06C75\">my<\/span> <span style=\"color: #56B6C2\">-<\/span> <span style=\"color: #E06C75\">b<\/span> <span style=\"color: #56B6C2\">*<\/span> <span style=\"color: #E06C75\">mx<\/span>            <span style=\"color: #7F848E\"># \u0441\u0432\u043e\u0431\u043e\u0434\u043d\u044b\u0439 \u0447\u043b\u0435\u043d (\u043f\u0435\u0440\u0435\u0441\u0435\u0447\u0435\u043d\u0438\u0435)<\/span>\n\n<span style=\"color: #7F848E\"># \u041a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442 \u0434\u0435\u0442\u0435\u0440\u043c\u0438\u043d\u0430\u0446\u0438\u0438 R^2: \u0434\u043e\u043b\u044f \u0440\u0430\u0437\u0431\u0440\u043e\u0441\u0430 y, \u043e\u0431\u044a\u044f\u0441\u043d\u0435\u043d\u043d\u0430\u044f \u043c\u043e\u0434\u0435\u043b\u044c\u044e<\/span>\n<span style=\"color: #E06C75\">ss_res<\/span> <span style=\"color: #56B6C2\">=<\/span> <span style=\"color: #E5C07B\">sum<\/span><span style=\"color: #ABB2BF\">((<\/span><span style=\"color: #E06C75\">yi<\/span> <span style=\"color: #56B6C2\">-<\/span> <span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #E06C75\">a<\/span> <span style=\"color: #56B6C2\">+<\/span> <span style=\"color: #E06C75\">b<\/span> <span style=\"color: #56B6C2\">*<\/span> <span style=\"color: #E06C75\">xi<\/span><span style=\"color: #ABB2BF\">))<\/span> <span style=\"color: #56B6C2\">**<\/span> <span style=\"color: #D19A66\">2<\/span> <span style=\"color: #C678DD\">for<\/span> <span style=\"color: #E06C75\">xi<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #E06C75\">yi<\/span> <span style=\"color: #56B6C2\">in<\/span> <span style=\"color: #E5C07B\">zip<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #E06C75\">x<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #E06C75\">y<\/span><span style=\"color: #ABB2BF\">))<\/span>\n<span style=\"color: #E06C75\">ss_tot<\/span> <span style=\"color: #56B6C2\">=<\/span> <span style=\"color: #E5C07B\">sum<\/span><span style=\"color: #ABB2BF\">((<\/span><span style=\"color: #E06C75\">yi<\/span> <span style=\"color: #56B6C2\">-<\/span> <span style=\"color: #E06C75\">my<\/span><span style=\"color: #ABB2BF\">)<\/span> <span style=\"color: #56B6C2\">**<\/span> <span style=\"color: #D19A66\">2<\/span> <span style=\"color: #C678DD\">for<\/span> <span style=\"color: #E06C75\">yi<\/span> <span style=\"color: #56B6C2\">in<\/span> <span style=\"color: #E06C75\">y<\/span><span style=\"color: #ABB2BF\">)<\/span>\n<span style=\"color: #E06C75\">r2<\/span> <span style=\"color: #56B6C2\">=<\/span> <span style=\"color: #D19A66\">1<\/span> <span style=\"color: #56B6C2\">-<\/span> <span style=\"color: #E06C75\">ss_res<\/span> <span style=\"color: #56B6C2\">\/<\/span> <span style=\"color: #E06C75\">ss_tot<\/span>\n\n<span style=\"color: #E5C07B\">print<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #98C379\">\"\u043d\u0430\u043a\u043b\u043e\u043d b   =\"<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #E5C07B\">round<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #E06C75\">b<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #D19A66\">4<\/span><span style=\"color: #ABB2BF\">))<\/span>\n<span style=\"color: #E5C07B\">print<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #98C379\">\"\u0441\u0432\u043e\u0431\u043e\u0434\u043d\u044b\u0439 \u0447\u043b\u0435\u043d a =\"<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #E5C07B\">round<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #E06C75\">a<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #D19A66\">4<\/span><span style=\"color: #ABB2BF\">))<\/span>\n<span style=\"color: #E5C07B\">print<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #98C379\">\"R^2        =\"<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #E5C07B\">round<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #E06C75\">r2<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #D19A66\">4<\/span><span style=\"color: #ABB2BF\">))<\/span>\n\n<span style=\"color: #7F848E\"># \u041f\u0440\u043e\u0433\u043d\u043e\u0437 \u0434\u043b\u044f \u043d\u043e\u0432\u043e\u0439 \u043f\u043b\u043e\u0449\u0430\u0434\u0438 50 \u043a\u0432. \u043c<\/span>\n<span style=\"color: #E06C75\">x_new<\/span> <span style=\"color: #56B6C2\">=<\/span> <span style=\"color: #D19A66\">50<\/span>\n<span style=\"color: #E5C07B\">print<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #98C379\">\"\u043f\u0440\u043e\u0433\u043d\u043e\u0437 \u0446\u0435\u043d\u044b \u0434\u043b\u044f 50 \u043a\u0432. \u043c =\"<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #E5C07B\">round<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #E06C75\">a<\/span> <span style=\"color: #56B6C2\">+<\/span> <span style=\"color: #E06C75\">b<\/span> <span style=\"color: #56B6C2\">*<\/span> <span style=\"color: #E06C75\">x_new<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #D19A66\">2<\/span><span style=\"color: #ABB2BF\">),<\/span> <span style=\"color: #98C379\">\"\u043c\u043b\u043d \u0440\u0443\u0431\"<\/span><span style=\"color: #ABB2BF\">)<\/span><\/code><\/pre>\n<p>\u0412\u044b\u0432\u043e\u0434 \u043f\u0440\u043e\u0433\u0440\u0430\u043c\u043c\u044b:<\/p>\n<pre style=\"background:#282c34;color:#abb2bf;border-radius:8px;padding:16px 20px;margin:20px 0;overflow-x:auto;font-size:14px;line-height:1.55;font-family:ui-monospace,SFMono-Regular,Menlo,Consolas,monospace\"><code style=\"background:none\">\u043d\u0430\u043a\u043b\u043e\u043d b   = 0.0948\n\u0441\u0432\u043e\u0431\u043e\u0434\u043d\u044b\u0439 \u0447\u043b\u0435\u043d a = 0.4233\nR^2        = 0.9985\n\u043f\u0440\u043e\u0433\u043d\u043e\u0437 \u0446\u0435\u043d\u044b \u0434\u043b\u044f 50 \u043a\u0432. \u043c = 5.16 \u043c\u043b\u043d \u0440\u0443\u0431\n<\/code><\/pre>\n<p>\u041d\u0430\u043a\u043b\u043e\u043d 0.0948 \u0447\u0438\u0442\u0430\u0435\u0442\u0441\u044f \u0442\u0430\u043a: \u043a\u0430\u0436\u0434\u044b\u0439 \u0434\u043e\u043f\u043e\u043b\u043d\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0439 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043d\u044b\u0439 \u043c\u0435\u0442\u0440 \u0434\u043e\u0431\u0430\u0432\u043b\u044f\u0435\u0442 \u043a \u0446\u0435\u043d\u0435 \u043e\u043a\u043e\u043b\u043e 0.095 \u043c\u043b\u043d \u0440\u0443\u0431, \u0442\u043e \u0435\u0441\u0442\u044c 95 \u0442\u044b\u0441\u044f\u0447. \u0421\u0432\u043e\u0431\u043e\u0434\u043d\u044b\u0439 \u0447\u043b\u0435\u043d \u0437\u0434\u0435\u0441\u044c &#8212; \u043b\u0438\u0448\u044c \u0442\u043e\u0447\u043a\u0430 \u043f\u0435\u0440\u0435\u0441\u0435\u0447\u0435\u043d\u0438\u044f \u043e\u0441\u0438, \u0431\u0443\u043a\u0432\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u0441\u043c\u044b\u0441\u043b\u0430 \u00ab\u0446\u0435\u043d\u0430 \u043d\u0443\u043b\u0435\u0432\u043e\u0439 \u043f\u043b\u043e\u0449\u0430\u0434\u0438\u00bb \u0443 \u043d\u0435\u0433\u043e \u043d\u0435\u0442.<\/p>\n<h3>\u041a\u0430\u043a \u043f\u043e\u043d\u044f\u0442\u044c, \u0447\u0442\u043e \u043c\u043e\u0434\u0435\u043b\u044c \u0445\u043e\u0440\u043e\u0448\u0430\u044f<\/h3>\n<p>\u041a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442 \u0434\u0435\u0442\u0435\u0440\u043c\u0438\u043d\u0430\u0446\u0438\u0438 <strong>R^2<\/strong> \u043f\u043e\u043a\u0430\u0437\u044b\u0432\u0430\u0435\u0442, \u043a\u0430\u043a\u0443\u044e \u0434\u043e\u043b\u044e \u0440\u0430\u0437\u0431\u0440\u043e\u0441\u0430 y \u043e\u0431\u044a\u044f\u0441\u043d\u044f\u0435\u0442 \u043c\u043e\u0434\u0435\u043b\u044c. R^2 = 1 &#8212; \u0438\u0434\u0435\u0430\u043b\u044c\u043d\u043e\u0435 \u043f\u043e\u043f\u0430\u0434\u0430\u043d\u0438\u0435, R^2 = 0 &#8212; \u043c\u043e\u0434\u0435\u043b\u044c \u043d\u0435 \u043b\u0443\u0447\u0448\u0435 \u0441\u0440\u0435\u0434\u043d\u0435\u0433\u043e. \u0412 \u043f\u0440\u0438\u043c\u0435\u0440\u0435 \u0432\u044b\u0448\u043b\u043e 0.9985, \u043f\u043e\u0442\u043e\u043c\u0443 \u0447\u0442\u043e \u0434\u0430\u043d\u043d\u044b\u0435 \u043f\u043e\u0447\u0442\u0438 \u043b\u0435\u0433\u043b\u0438 \u043d\u0430 \u043f\u0440\u044f\u043c\u0443\u044e; \u043d\u0430 \u0440\u0435\u0430\u043b\u044c\u043d\u044b\u0445 \u0434\u0430\u043d\u043d\u044b\u0445 \u0442\u0430\u043a \u0433\u043b\u0430\u0434\u043a\u043e \u043d\u0435 \u0431\u044b\u0432\u0430\u0435\u0442.<\/p>\n<p>\u0422\u043e\u043b\u044c\u043a\u043e \u043d\u0430 R^2 \u043f\u043e\u043b\u0430\u0433\u0430\u0442\u044c\u0441\u044f \u043d\u0435\u043b\u044c\u0437\u044f, \u043e\u0431\u044b\u0447\u043d\u043e \u0441\u043c\u043e\u0442\u0440\u044f\u0442 \u0438 \u043d\u0430 \u0441\u0440\u0435\u0434\u043d\u0438\u0435 \u043e\u0448\u0438\u0431\u043a\u0438 \u043f\u0440\u043e\u0433\u043d\u043e\u0437\u0430:<\/p>\n<ul>\n<li><strong>MAE<\/strong> (\u0441\u0440\u0435\u0434\u043d\u044f\u044f \u0430\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u0430\u044f \u043e\u0448\u0438\u0431\u043a\u0430) &#8212; \u0441\u0440\u0435\u0434\u043d\u0438\u0439 \u043c\u043e\u0434\u0443\u043b\u044c \u043e\u0442\u043a\u043b\u043e\u043d\u0435\u043d\u0438\u044f, \u0432 \u0442\u0435\u0445 \u0436\u0435 \u0435\u0434\u0438\u043d\u0438\u0446\u0430\u0445, \u0447\u0442\u043e y.<\/li>\n<li><strong>RMSE<\/strong> (\u043a\u043e\u0440\u0435\u043d\u044c \u0438\u0437 \u0441\u0440\u0435\u0434\u043d\u0435\u0439 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0438\u0447\u043d\u043e\u0439 \u043e\u0448\u0438\u0431\u043a\u0438) &#8212; \u043f\u043e\u0445\u043e\u0436\u0435 \u043d\u0430 MAE, \u043d\u043e \u0441\u0438\u043b\u044c\u043d\u0435\u0435 \u043d\u0430\u043a\u0430\u0437\u044b\u0432\u0430\u0435\u0442 \u043a\u0440\u0443\u043f\u043d\u044b\u0435 \u043f\u0440\u043e\u043c\u0430\u0445\u0438.<\/li>\n<\/ul>\n<p>\u0412\u0430\u0436\u043d\u0430 \u0433\u0440\u0430\u043d\u0438\u0446\u0430: \u0432\u044b\u0441\u043e\u043a\u0438\u0439 R^2 \u043d\u0430 \u043e\u0431\u0443\u0447\u0430\u044e\u0449\u0438\u0445 \u0434\u0430\u043d\u043d\u044b\u0445 \u0435\u0449\u0435 \u043d\u0435 \u0437\u043d\u0430\u0447\u0438\u0442, \u0447\u0442\u043e \u043c\u043e\u0434\u0435\u043b\u044c \u0431\u0443\u0434\u0435\u0442 \u0442\u043e\u0447\u043d\u0430 \u043d\u0430 \u043d\u043e\u0432\u044b\u0445. \u041f\u0440\u043e\u0432\u0435\u0440\u044f\u0442\u044c \u043a\u0430\u0447\u0435\u0441\u0442\u0432\u043e \u043d\u0443\u0436\u043d\u043e \u043d\u0430 \u043e\u0442\u043b\u043e\u0436\u0435\u043d\u043d\u043e\u0439 \u0432\u044b\u0431\u043e\u0440\u043a\u0435, \u043a\u043e\u0442\u043e\u0440\u0443\u044e \u043c\u043e\u0434\u0435\u043b\u044c \u043d\u0435 \u0432\u0438\u0434\u0435\u043b\u0430 \u043f\u0440\u0438 \u043e\u0431\u0443\u0447\u0435\u043d\u0438\u0438.<\/p>\n<h2 id=\"s3\">\u0412\u0438\u0434\u044b \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438<\/h2>\n<p>\u041b\u0438\u043d\u0435\u0439\u043d\u0430\u044f \u043c\u043e\u0434\u0435\u043b\u044c &#8212; \u0431\u0430\u0437\u043e\u0432\u0430\u044f, \u043d\u043e \u043d\u0435 \u0435\u0434\u0438\u043d\u0441\u0442\u0432\u0435\u043d\u043d\u0430\u044f. \u041d\u0438\u0436\u0435 &#8212; \u043e\u0440\u0438\u0435\u043d\u0442\u0438\u0440 \u043f\u043e \u0437\u0430\u0434\u0430\u0447\u0430\u043c, \u0430 \u043d\u0435 \u043f\u043e\u043b\u043d\u044b\u0439 \u043a\u0430\u0442\u0430\u043b\u043e\u0433.<\/p>\n<table>\n<thead>\n<tr>\n<th>\u0412\u0438\u0434 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438<\/th>\n<th>\u0412 \u0447\u0435\u043c \u0438\u0434\u0435\u044f<\/th>\n<th>\u041a\u043e\u0433\u0434\u0430 \u0431\u0440\u0430\u0442\u044c<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>\u041b\u0438\u043d\u0435\u0439\u043d\u0430\u044f<\/td>\n<td>\u043f\u0440\u044f\u043c\u0430\u044f Y = a + bx<\/td>\n<td>\u0441\u0432\u044f\u0437\u044c \u0431\u043b\u0438\u0437\u043a\u0430 \u043a \u043b\u0438\u043d\u0435\u0439\u043d\u043e\u0439, \u043f\u0440\u0438\u0437\u043d\u0430\u043a\u043e\u0432 \u043d\u0435\u043c\u043d\u043e\u0433\u043e<\/td>\n<\/tr>\n<tr>\n<td>\u041c\u043d\u043e\u0436\u0435\u0441\u0442\u0432\u0435\u043d\u043d\u0430\u044f \u043b\u0438\u043d\u0435\u0439\u043d\u0430\u044f<\/td>\n<td>\u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u043e \u043f\u0440\u0438\u0437\u043d\u0430\u043a\u043e\u0432: Y = a + b1<em>x1 + b2<\/em>x2 + &#8230;<\/td>\n<td>\u043d\u0430 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442 \u0432\u043b\u0438\u044f\u0435\u0442 \u0441\u0440\u0430\u0437\u0443 \u043c\u043d\u043e\u0433\u043e \u0444\u0430\u043a\u0442\u043e\u0440\u043e\u0432<\/td>\n<\/tr>\n<tr>\n<td>\u041f\u043e\u043b\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u0430\u044f<\/td>\n<td>\u0434\u043e\u0431\u0430\u0432\u043b\u044f\u0435\u0442 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u043f\u0440\u0438\u0437\u043d\u0430\u043a\u0430 (x^2, x^3)<\/td>\n<td>\u0441\u0432\u044f\u0437\u044c \u0437\u0430\u043c\u0435\u0442\u043d\u043e \u0438\u0437\u043e\u0433\u043d\u0443\u0442\u0430, \u043d\u0435\u043b\u0438\u043d\u0435\u0439\u043d\u0430<\/td>\n<\/tr>\n<tr>\n<td>\u0413\u0440\u0435\u0431\u043d\u0435\u0432\u0430\u044f (ridge, L2)<\/td>\n<td>\u043b\u0438\u043d\u0435\u0439\u043d\u0430\u044f + \u0448\u0442\u0440\u0430\u0444 \u0437\u0430 \u0431\u043e\u043b\u044c\u0448\u0438\u0435 \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u044b<\/td>\n<td>\u043f\u0440\u0438\u0437\u043d\u0430\u043a\u0438 \u043a\u043e\u0440\u0440\u0435\u043b\u0438\u0440\u0443\u044e\u0442, \u043c\u043e\u0434\u0435\u043b\u044c \u043f\u0435\u0440\u0435\u043e\u0431\u0443\u0447\u0430\u0435\u0442\u0441\u044f<\/td>\n<\/tr>\n<tr>\n<td>\u041b\u0430\u0441\u0441\u043e (lasso, L1)<\/td>\n<td>\u0448\u0442\u0440\u0430\u0444, \u043e\u0431\u043d\u0443\u043b\u044f\u044e\u0449\u0438\u0439 \u0447\u0430\u0441\u0442\u044c \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u043e\u0432<\/td>\n<td>\u043d\u0443\u0436\u0435\u043d \u0430\u0432\u0442\u043e\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u0438\u0439 \u043e\u0442\u0431\u043e\u0440 \u043f\u0440\u0438\u0437\u043d\u0430\u043a\u043e\u0432<\/td>\n<\/tr>\n<tr>\n<td>\u042d\u043b\u0430\u0441\u0442\u0438\u0447\u043d\u0430\u044f \u0441\u0435\u0442\u044c (elastic net)<\/td>\n<td>\u0441\u043c\u0435\u0441\u044c L1 \u0438 L2<\/td>\n<td>\u043c\u043d\u043e\u0433\u043e \u043a\u043e\u0440\u0440\u0435\u043b\u0438\u0440\u0443\u044e\u0449\u0438\u0445 \u043f\u0440\u0438\u0437\u043d\u0430\u043a\u043e\u0432 \u0441\u0440\u0430\u0437\u0443<\/td>\n<\/tr>\n<tr>\n<td>\u041b\u043e\u0433\u0438\u0441\u0442\u0438\u0447\u0435\u0441\u043a\u0430\u044f<\/td>\n<td>\u043f\u0440\u0435\u0434\u0441\u043a\u0430\u0437\u044b\u0432\u0430\u0435\u0442 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u044c \u043a\u043b\u0430\u0441\u0441\u0430<\/td>\n<td>\u043e\u0442\u0432\u0435\u0442 &#8212; \u043a\u0430\u0442\u0435\u0433\u043e\u0440\u0438\u044f, \u0430 \u043d\u0435 \u0447\u0438\u0441\u043b\u043e (\u044d\u0442\u043e \u0443\u0436\u0435 \u043a\u043b\u0430\u0441\u0441\u0438\u0444\u0438\u043a\u0430\u0446\u0438\u044f)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u041b\u043e\u0433\u0438\u0441\u0442\u0438\u0447\u0435\u0441\u043a\u0430\u044f \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u044f \u043f\u043e\u043f\u0430\u043b\u0430 \u0432 \u0441\u043f\u0438\u0441\u043e\u043a \u0438\u0437-\u0437\u0430 \u043d\u0430\u0437\u0432\u0430\u043d\u0438\u044f, \u043d\u043e \u043f\u043e \u0441\u0443\u0442\u0438 \u0440\u0435\u0448\u0430\u0435\u0442 \u0437\u0430\u0434\u0430\u0447\u0443 \u043a\u043b\u0430\u0441\u0441\u0438\u0444\u0438\u043a\u0430\u0446\u0438\u0438: \u043d\u0430 \u0432\u044b\u0445\u043e\u0434\u0435 &#8212; \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u044c \u043e\u0442 0 \u0434\u043e 1, \u0430 \u043d\u0435 \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u043b\u044c\u043d\u043e\u0435 \u0447\u0438\u0441\u043b\u043e. \u0414\u0435\u0440\u0436\u0438\u0442\u0435 \u044d\u0442\u043e \u0432 \u0433\u043e\u043b\u043e\u0432\u0435, \u0447\u0442\u043e\u0431\u044b \u043d\u0435 \u0432\u044b\u0431\u0440\u0430\u0442\u044c \u0435\u0435 \u0434\u043b\u044f \u043f\u0440\u0435\u0434\u0441\u043a\u0430\u0437\u0430\u043d\u0438\u044f \u0446\u0435\u043d\u044b.<\/p>\n<h3>\u041f\u043e\u043b\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u0430\u044f \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u044f \u0438 \u043f\u0435\u0440\u0435\u043e\u0431\u0443\u0447\u0435\u043d\u0438\u0435<\/h3>\n<p>\u0415\u0441\u043b\u0438 \u0442\u043e\u0447\u043a\u0438 \u043b\u043e\u0436\u0430\u0442\u0441\u044f \u043d\u0435 \u043d\u0430 \u043f\u0440\u044f\u043c\u0443\u044e, \u0430 \u043d\u0430 \u043a\u0440\u0438\u0432\u0443\u044e, \u0434\u043e\u0431\u0430\u0432\u043b\u044f\u044e\u0442 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u043f\u0440\u0438\u0437\u043d\u0430\u043a\u0430: Y = a + b1<em>x + b2<\/em>x^2 + &#8230; \u0424\u043e\u0440\u043c\u0430\u043b\u044c\u043d\u043e \u044d\u0442\u043e \u0432\u0441\u0435 \u0442\u0430 \u0436\u0435 \u043b\u0438\u043d\u0435\u0439\u043d\u0430\u044f \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u044f, \u0442\u043e\u043b\u044c\u043a\u043e \u043f\u0440\u0438\u0437\u043d\u0430\u043a\u0430\u043c\u0438 \u0441\u0442\u0430\u043d\u043e\u0432\u044f\u0442\u0441\u044f x, x^2, x^3 \u0438 \u0442\u0430\u043a \u0434\u0430\u043b\u0435\u0435.<\/p>\n<p>\u0417\u0434\u0435\u0441\u044c \u0432\u0430\u0436\u043d\u0430 \u0433\u0440\u0430\u043d\u0438\u0446\u0430 \u043f\u0440\u0438\u043c\u0435\u043d\u0438\u043c\u043e\u0441\u0442\u0438. \u0427\u0435\u043c \u0432\u044b\u0448\u0435 \u0441\u0442\u0435\u043f\u0435\u043d\u044c, \u0442\u0435\u043c \u0433\u0438\u0431\u0447\u0435 \u043a\u0440\u0438\u0432\u0430\u044f, \u043d\u043e \u0441 \u043a\u0430\u043a\u043e\u0433\u043e-\u0442\u043e \u043c\u043e\u043c\u0435\u043d\u0442\u0430 \u043c\u043e\u0434\u0435\u043b\u044c \u043d\u0430\u0447\u0438\u043d\u0430\u0435\u0442 \u043f\u043e\u0434\u0441\u0442\u0440\u0430\u0438\u0432\u0430\u0442\u044c\u0441\u044f \u043f\u043e\u0434 \u0448\u0443\u043c \u0432 \u0434\u0430\u043d\u043d\u044b\u0445 &#8212; \u044d\u0442\u043e \u043f\u0435\u0440\u0435\u043e\u0431\u0443\u0447\u0435\u043d\u0438\u0435. \u0422\u0430\u043a\u0430\u044f \u043a\u0440\u0438\u0432\u0430\u044f \u0438\u0434\u0435\u0430\u043b\u044c\u043d\u043e \u043f\u0440\u043e\u0445\u043e\u0434\u0438\u0442 \u0447\u0435\u0440\u0435\u0437 \u043e\u0431\u0443\u0447\u0430\u044e\u0449\u0438\u0435 \u0442\u043e\u0447\u043a\u0438, \u043d\u043e \u043d\u0430 \u043d\u043e\u0432\u044b\u0445 \u0434\u0430\u043d\u043d\u044b\u0445 \u043e\u0448\u0438\u0431\u0430\u0435\u0442\u0441\u044f \u0441\u0438\u043b\u044c\u043d\u0435\u0435 \u043f\u0440\u043e\u0441\u0442\u043e\u0439 \u043f\u0440\u044f\u043c\u043e\u0439. \u0421\u0442\u0435\u043f\u0435\u043d\u044c \u043f\u043e\u0434\u0431\u0438\u0440\u0430\u044e\u0442 \u043f\u043e \u043a\u0430\u0447\u0435\u0441\u0442\u0432\u0443 \u043d\u0430 \u043e\u0442\u043b\u043e\u0436\u0435\u043d\u043d\u043e\u0439 \u0432\u044b\u0431\u043e\u0440\u043a\u0435, \u0430 \u043d\u0435 \u043f\u043e \u043a\u0440\u0430\u0441\u043e\u0442\u0435 \u0433\u0440\u0430\u0444\u0438\u043a\u0430.<\/p>\n<h3>\u0420\u0435\u0433\u0443\u043b\u044f\u0440\u0438\u0437\u0430\u0446\u0438\u044f: ridge, lasso, elastic net<\/h3>\n<p>\u041a\u043e\u0433\u0434\u0430 \u043f\u0440\u0438\u0437\u043d\u0430\u043a\u043e\u0432 \u043c\u043d\u043e\u0433\u043e \u0438 \u043e\u043d\u0438 \u043a\u043e\u0440\u0440\u0435\u043b\u0438\u0440\u0443\u044e\u0442, \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u044b \u043b\u0438\u043d\u0435\u0439\u043d\u043e\u0439 \u043c\u043e\u0434\u0435\u043b\u0438 \u0440\u0430\u0437\u0431\u0443\u0445\u0430\u044e\u0442 \u0438 \u0441\u0442\u0430\u043d\u043e\u0432\u044f\u0442\u0441\u044f \u043d\u0435\u0443\u0441\u0442\u043e\u0439\u0447\u0438\u0432\u044b\u043c\u0438. \u0420\u0435\u0433\u0443\u043b\u044f\u0440\u0438\u0437\u0430\u0446\u0438\u044f \u0434\u043e\u0431\u0430\u0432\u043b\u044f\u0435\u0442 \u043a \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u043f\u043e\u0442\u0435\u0440\u044c \u0448\u0442\u0440\u0430\u0444 \u0437\u0430 \u0432\u0435\u043b\u0438\u0447\u0438\u043d\u0443 \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u043e\u0432 \u0438 \u0442\u0435\u043c \u0441\u0430\u043c\u044b\u043c \u00ab\u043f\u0440\u0438\u0436\u0438\u043c\u0430\u0435\u0442\u00bb \u0438\u0445:<\/p>\n<ul>\n<li><strong>\u0413\u0440\u0435\u0431\u043d\u0435\u0432\u0430\u044f (ridge, L2)<\/strong> \u0448\u0442\u0440\u0430\u0444\u0443\u0435\u0442 \u0441\u0443\u043c\u043c\u0443 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043e\u0432 \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u043e\u0432. \u041e\u043d\u0430 \u0443\u043c\u0435\u043d\u044c\u0448\u0430\u0435\u0442 \u0438\u0445, \u043d\u043e \u043d\u0435 \u043e\u0431\u043d\u0443\u043b\u044f\u0435\u0442 &#8212; \u0432\u0441\u0435 \u043f\u0440\u0438\u0437\u043d\u0430\u043a\u0438 \u043e\u0441\u0442\u0430\u044e\u0442\u0441\u044f \u0432 \u043c\u043e\u0434\u0435\u043b\u0438.<\/li>\n<li><strong>\u041b\u0430\u0441\u0441\u043e (lasso, L1)<\/strong> \u0448\u0442\u0440\u0430\u0444\u0443\u0435\u0442 \u0441\u0443\u043c\u043c\u0443 \u043c\u043e\u0434\u0443\u043b\u0435\u0439 \u0438 \u0443\u043c\u0435\u0435\u0442 \u043e\u0431\u043d\u0443\u043b\u044f\u0442\u044c \u0447\u0430\u0441\u0442\u044c \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u043e\u0432, \u0442\u043e \u0435\u0441\u0442\u044c \u0437\u0430\u043e\u0434\u043d\u043e \u043e\u0442\u0431\u0438\u0440\u0430\u0435\u0442 \u043f\u0440\u0438\u0437\u043d\u0430\u043a\u0438.<\/li>\n<li><strong>\u042d\u043b\u0430\u0441\u0442\u0438\u0447\u043d\u0430\u044f \u0441\u0435\u0442\u044c<\/strong> \u043a\u043e\u043c\u0431\u0438\u043d\u0438\u0440\u0443\u0435\u0442 \u043e\u0431\u0430 \u0448\u0442\u0440\u0430\u0444\u0430 \u0438 \u0445\u043e\u0440\u043e\u0448\u043e \u0440\u0430\u0431\u043e\u0442\u0430\u0435\u0442, \u043a\u043e\u0433\u0434\u0430 \u043a\u043e\u0440\u0440\u0435\u043b\u0438\u0440\u0443\u044e\u0449\u0438\u0445 \u043f\u0440\u0438\u0437\u043d\u0430\u043a\u043e\u0432 \u043c\u043d\u043e\u0433\u043e.<\/li>\n<\/ul>\n<p>\u042d\u0444\u0444\u0435\u043a\u0442 ridge \u043f\u0440\u043e\u0449\u0435 \u0443\u0432\u0438\u0434\u0435\u0442\u044c \u043d\u0430 \u043e\u0434\u043d\u043e\u043c \u043f\u0440\u0438\u0437\u043d\u0430\u043a\u0435: \u0434\u043b\u044f \u0446\u0435\u043d\u0442\u0440\u0438\u0440\u043e\u0432\u0430\u043d\u043d\u044b\u0445 \u0434\u0430\u043d\u043d\u044b\u0445 \u043d\u0430\u043a\u043b\u043e\u043d \u043f\u0440\u0435\u0432\u0440\u0430\u0449\u0430\u0435\u0442\u0441\u044f \u0438\u0437 <code style=\"background:#eef0f3;color:#24292f;border-radius:4px;padding:1px 5px;font-size:0.92em;font-family:ui-monospace,SFMono-Regular,Menlo,Consolas,monospace\">Sxy\/Sxx<\/code> \u0432 <code style=\"background:#eef0f3;color:#24292f;border-radius:4px;padding:1px 5px;font-size:0.92em;font-family:ui-monospace,SFMono-Regular,Menlo,Consolas,monospace\">Sxy\/(Sxx + alpha)<\/code>, \u0433\u0434\u0435 alpha &#8212; \u0441\u0438\u043b\u0430 \u0448\u0442\u0440\u0430\u0444\u0430. \u0427\u0435\u043c \u0431\u043e\u043b\u044c\u0448\u0435 alpha, \u0442\u0435\u043c \u0441\u0438\u043b\u044c\u043d\u0435\u0435 \u043d\u0430\u043a\u043b\u043e\u043d \u0441\u0436\u0438\u043c\u0430\u0435\u0442\u0441\u044f \u043a \u043d\u0443\u043b\u044e:<\/p>\n<pre style=\"background:#282c34;color:#abb2bf;border-radius:8px;padding:16px 20px;margin:20px 0;overflow-x:auto;font-size:14px;line-height:1.55;font-family:ui-monospace,SFMono-Regular,Menlo,Consolas,monospace\"><code style=\"background:none\"><span style=\"color: #7F848E\"># \u0413\u0440\u0435\u0431\u043d\u0435\u0432\u0430\u044f \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u044f (ridge) \u043d\u0430 \u043e\u0434\u043d\u043e\u043c \u043f\u0440\u0438\u0437\u043d\u0430\u043a\u0435: L2-\u0448\u0442\u0440\u0430\u0444 \u0441\u0436\u0438\u043c\u0430\u0435\u0442 \u043d\u0430\u043a\u043b\u043e\u043d \u043a \u043d\u0443\u043b\u044e.<\/span>\n<span style=\"color: #7F848E\"># \u0414\u043b\u044f \u0446\u0435\u043d\u0442\u0440\u0438\u0440\u043e\u0432\u0430\u043d\u043d\u044b\u0445 \u0434\u0430\u043d\u043d\u044b\u0445 \u043d\u0430\u043a\u043b\u043e\u043d \u041c\u041d\u041a = Sxy \/ Sxx,<\/span>\n<span style=\"color: #7F848E\"># \u043d\u0430\u043a\u043b\u043e\u043d ridge = Sxy \/ (Sxx + alpha), \u0433\u0434\u0435 alpha - \u0441\u0438\u043b\u0430 \u0440\u0435\u0433\u0443\u043b\u044f\u0440\u0438\u0437\u0430\u0446\u0438\u0438.<\/span>\n<span style=\"color: #E06C75\">x<\/span> <span style=\"color: #56B6C2\">=<\/span> <span style=\"color: #ABB2BF\">[<\/span><span style=\"color: #D19A66\">28<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #D19A66\">33<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #D19A66\">41<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #D19A66\">45<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #D19A66\">52<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #D19A66\">60<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #D19A66\">68<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #D19A66\">75<\/span><span style=\"color: #ABB2BF\">]<\/span>\n<span style=\"color: #E06C75\">y<\/span> <span style=\"color: #56B6C2\">=<\/span> <span style=\"color: #ABB2BF\">[<\/span><span style=\"color: #D19A66\">3.1<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #D19A66\">3.6<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #D19A66\">4.2<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #D19A66\">4.7<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #D19A66\">5.4<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #D19A66\">6.1<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #D19A66\">6.8<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #D19A66\">7.6<\/span><span style=\"color: #ABB2BF\">]<\/span>\n\n<span style=\"color: #E06C75\">n<\/span> <span style=\"color: #56B6C2\">=<\/span> <span style=\"color: #E5C07B\">len<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #E06C75\">x<\/span><span style=\"color: #ABB2BF\">)<\/span>\n<span style=\"color: #E06C75\">mx<\/span> <span style=\"color: #56B6C2\">=<\/span> <span style=\"color: #E5C07B\">sum<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #E06C75\">x<\/span><span style=\"color: #ABB2BF\">)<\/span> <span style=\"color: #56B6C2\">\/<\/span> <span style=\"color: #E06C75\">n<\/span>\n<span style=\"color: #E06C75\">my<\/span> <span style=\"color: #56B6C2\">=<\/span> <span style=\"color: #E5C07B\">sum<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #E06C75\">y<\/span><span style=\"color: #ABB2BF\">)<\/span> <span style=\"color: #56B6C2\">\/<\/span> <span style=\"color: #E06C75\">n<\/span>\n<span style=\"color: #E06C75\">Sxy<\/span> <span style=\"color: #56B6C2\">=<\/span> <span style=\"color: #E5C07B\">sum<\/span><span style=\"color: #ABB2BF\">((<\/span><span style=\"color: #E06C75\">xi<\/span> <span style=\"color: #56B6C2\">-<\/span> <span style=\"color: #E06C75\">mx<\/span><span style=\"color: #ABB2BF\">)<\/span> <span style=\"color: #56B6C2\">*<\/span> <span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #E06C75\">yi<\/span> <span style=\"color: #56B6C2\">-<\/span> <span style=\"color: #E06C75\">my<\/span><span style=\"color: #ABB2BF\">)<\/span> <span style=\"color: #C678DD\">for<\/span> <span style=\"color: #E06C75\">xi<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #E06C75\">yi<\/span> <span style=\"color: #56B6C2\">in<\/span> <span style=\"color: #E5C07B\">zip<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #E06C75\">x<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #E06C75\">y<\/span><span style=\"color: #ABB2BF\">))<\/span>\n<span style=\"color: #E06C75\">Sxx<\/span> <span style=\"color: #56B6C2\">=<\/span> <span style=\"color: #E5C07B\">sum<\/span><span style=\"color: #ABB2BF\">((<\/span><span style=\"color: #E06C75\">xi<\/span> <span style=\"color: #56B6C2\">-<\/span> <span style=\"color: #E06C75\">mx<\/span><span style=\"color: #ABB2BF\">)<\/span> <span style=\"color: #56B6C2\">**<\/span> <span style=\"color: #D19A66\">2<\/span> <span style=\"color: #C678DD\">for<\/span> <span style=\"color: #E06C75\">xi<\/span> <span style=\"color: #56B6C2\">in<\/span> <span style=\"color: #E06C75\">x<\/span><span style=\"color: #ABB2BF\">)<\/span>\n\n<span style=\"color: #E5C07B\">print<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #98C379\">\"alpha : \u043d\u0430\u043a\u043b\u043e\u043d\"<\/span><span style=\"color: #ABB2BF\">)<\/span>\n<span style=\"color: #C678DD\">for<\/span> <span style=\"color: #E06C75\">alpha<\/span> <span style=\"color: #56B6C2\">in<\/span> <span style=\"color: #ABB2BF\">[<\/span><span style=\"color: #D19A66\">0<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #D19A66\">10<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #D19A66\">100<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #D19A66\">1000<\/span><span style=\"color: #ABB2BF\">]:<\/span>\n    <span style=\"color: #E06C75\">b<\/span> <span style=\"color: #56B6C2\">=<\/span> <span style=\"color: #E06C75\">Sxy<\/span> <span style=\"color: #56B6C2\">\/<\/span> <span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #E06C75\">Sxx<\/span> <span style=\"color: #56B6C2\">+<\/span> <span style=\"color: #E06C75\">alpha<\/span><span style=\"color: #ABB2BF\">)<\/span>\n    <span style=\"color: #E5C07B\">print<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #98C379\">f\"{<\/span><span style=\"color: #E06C75\">alpha<\/span><span style=\"color: #98C379\">:5d} : {<\/span><span style=\"color: #E06C75\">b<\/span><span style=\"color: #98C379\">:.4f}\"<\/span><span style=\"color: #ABB2BF\">)<\/span><\/code><\/pre>\n<p>\u0412\u044b\u0432\u043e\u0434 \u043f\u0440\u043e\u0433\u0440\u0430\u043c\u043c\u044b:<\/p>\n<pre style=\"background:#282c34;color:#abb2bf;border-radius:8px;padding:16px 20px;margin:20px 0;overflow-x:auto;font-size:14px;line-height:1.55;font-family:ui-monospace,SFMono-Regular,Menlo,Consolas,monospace\"><code style=\"background:none\">alpha : \u043d\u0430\u043a\u043b\u043e\u043d\n    0 : 0.0948\n   10 : 0.0943\n  100 : 0.0901\n 1000 : 0.0625\n<\/code><\/pre>\n<p>\u041f\u0440\u0438 alpha = 0 \u043f\u043e\u043b\u0443\u0447\u0430\u0435\u0442\u0441\u044f \u043e\u0431\u044b\u0447\u043d\u044b\u0439 \u041c\u041d\u041a. \u0421 \u0440\u043e\u0441\u0442\u043e\u043c alpha \u043d\u0430\u043a\u043b\u043e\u043d \u043f\u043b\u0430\u0432\u043d\u043e \u0443\u043c\u0435\u043d\u044c\u0448\u0430\u0435\u0442\u0441\u044f: \u043c\u043e\u0434\u0435\u043b\u044c \u0441\u0442\u0430\u043d\u043e\u0432\u0438\u0442\u0441\u044f \u043f\u0440\u043e\u0449\u0435 \u0438 \u0443\u0441\u0442\u043e\u0439\u0447\u0438\u0432\u0435\u0435 \u043a \u0448\u0443\u043c\u0443, \u043d\u043e \u043f\u0440\u0438 \u0447\u0440\u0435\u0437\u043c\u0435\u0440\u043d\u043e\u043c \u0448\u0442\u0440\u0430\u0444\u0435 \u043d\u0430\u0447\u0438\u043d\u0430\u0435\u0442 \u043d\u0435\u0434\u043e\u043e\u0446\u0435\u043d\u0438\u0432\u0430\u0442\u044c \u0440\u0435\u0430\u043b\u044c\u043d\u0443\u044e \u0441\u0432\u044f\u0437\u044c. \u0417\u043d\u0430\u0447\u0435\u043d\u0438\u0435 alpha \u043f\u043e\u0434\u0431\u0438\u0440\u0430\u044e\u0442 \u043f\u043e \u043a\u0430\u0447\u0435\u0441\u0442\u0432\u0443 \u043d\u0430 \u043f\u0440\u043e\u0432\u0435\u0440\u043e\u0447\u043d\u043e\u0439 \u0432\u044b\u0431\u043e\u0440\u043a\u0435, \u0430 \u043d\u0435 \u043d\u0430\u0443\u0433\u0430\u0434.<\/p>\n<h2 id=\"s4\">\u0422\u0438\u043f\u0438\u0447\u043d\u044b\u0435 \u043e\u0448\u0438\u0431\u043a\u0438 \u0438 \u0433\u0440\u0430\u043d\u0438\u0446\u044b<\/h2>\n<p>\u0420\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u044f &#8212; \u043c\u043e\u0449\u043d\u044b\u0439, \u043d\u043e \u043d\u0435 \u0432\u0441\u0435\u0441\u0438\u043b\u044c\u043d\u044b\u0439 \u0438\u043d\u0441\u0442\u0440\u0443\u043c\u0435\u043d\u0442, \u0438 \u0431\u043e\u043b\u044c\u0448\u0438\u043d\u0441\u0442\u0432\u043e \u043f\u0440\u043e\u0432\u0430\u043b\u043e\u0432 \u043e\u0434\u043d\u043e\u0442\u0438\u043f\u043d\u044b:<\/p>\n<ul>\n<li><strong>\u042d\u043a\u0441\u0442\u0440\u0430\u043f\u043e\u043b\u044f\u0446\u0438\u044f.<\/strong> \u041c\u043e\u0434\u0435\u043b\u044c \u043e\u0431\u0443\u0447\u0435\u043d\u0430 \u043d\u0430 \u043f\u043b\u043e\u0449\u0430\u0434\u044f\u0445 28-75 \u043a\u0432. \u043c; \u043f\u0440\u043e\u0433\u043d\u043e\u0437 \u0434\u043b\u044f 500 \u043a\u0432. \u043c \u043e\u043d\u0430 \u0434\u0430\u0441\u0442, \u043d\u043e \u0432\u0435\u0440\u0438\u0442\u044c \u0435\u043c\u0443 \u043d\u0435\u043b\u044c\u0437\u044f &#8212; \u0437\u0430 \u043f\u0440\u0435\u0434\u0435\u043b\u0430\u043c\u0438 \u0434\u0430\u043d\u043d\u044b\u0445 \u0441\u0432\u044f\u0437\u044c \u043c\u043e\u0436\u0435\u0442 \u0438\u0437\u043c\u0435\u043d\u0438\u0442\u044c\u0441\u044f.<\/li>\n<li><strong>\u041a\u043e\u0440\u0440\u0435\u043b\u044f\u0446\u0438\u044f \u0432\u043c\u0435\u0441\u0442\u043e \u043f\u0440\u0438\u0447\u0438\u043d\u044b.<\/strong> \u0415\u0441\u043b\u0438 \u0434\u0432\u0430 \u043f\u0440\u0438\u0437\u043d\u0430\u043a\u0430 \u0440\u0430\u0441\u0442\u0443\u0442 \u0432\u043c\u0435\u0441\u0442\u0435, \u044d\u0442\u043e \u043d\u0435 \u0437\u043d\u0430\u0447\u0438\u0442, \u0447\u0442\u043e \u043e\u0434\u0438\u043d \u0432\u044b\u0437\u044b\u0432\u0430\u0435\u0442 \u0434\u0440\u0443\u0433\u043e\u0439. \u0420\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u044f \u043b\u043e\u0432\u0438\u0442 \u0441\u0432\u044f\u0437\u044c, \u0430 \u043d\u0435 \u043f\u0440\u0438\u0447\u0438\u043d\u043d\u043e\u0441\u0442\u044c.<\/li>\n<li><strong>\u0412\u044b\u0431\u0440\u043e\u0441\u044b.<\/strong> \u041e\u0434\u043d\u0430 \u0430\u043d\u043e\u043c\u0430\u043b\u044c\u043d\u0430\u044f \u0442\u043e\u0447\u043a\u0430 \u0441\u0438\u043b\u044c\u043d\u043e \u0442\u044f\u043d\u0435\u0442 \u043b\u0438\u043d\u0438\u044e \u041c\u041d\u041a \u0437\u0430 \u0441\u043e\u0431\u043e\u0439, \u043f\u043e\u0442\u043e\u043c\u0443 \u0447\u0442\u043e \u043e\u0448\u0438\u0431\u043a\u0430 \u0432\u043e\u0437\u0432\u043e\u0434\u0438\u0442\u0441\u044f \u0432 \u043a\u0432\u0430\u0434\u0440\u0430\u0442. \u0414\u0430\u043d\u043d\u044b\u0435 \u0441\u0442\u043e\u0438\u0442 \u043e\u0441\u043c\u0430\u0442\u0440\u0438\u0432\u0430\u0442\u044c \u0434\u043e \u043e\u0431\u0443\u0447\u0435\u043d\u0438\u044f.<\/li>\n<li><strong>\u041f\u0435\u0440\u0435\u043e\u0431\u0443\u0447\u0435\u043d\u0438\u0435.<\/strong> \u0421\u043b\u0438\u0448\u043a\u043e\u043c \u0433\u0438\u0431\u043a\u0430\u044f \u043c\u043e\u0434\u0435\u043b\u044c (\u0432\u044b\u0441\u043e\u043a\u0430\u044f \u0441\u0442\u0435\u043f\u0435\u043d\u044c \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0430, \u043c\u043d\u043e\u0433\u043e \u043f\u0440\u0438\u0437\u043d\u0430\u043a\u043e\u0432) \u0437\u0430\u043f\u043e\u043c\u0438\u043d\u0430\u0435\u0442 \u0448\u0443\u043c. \u041b\u0435\u0447\u0438\u0442\u0441\u044f \u0440\u0435\u0433\u0443\u043b\u044f\u0440\u0438\u0437\u0430\u0446\u0438\u0435\u0439 \u0438 \u0447\u0435\u0441\u0442\u043d\u043e\u0439 \u043f\u0440\u043e\u0432\u0435\u0440\u043a\u043e\u0439 \u043d\u0430 \u043e\u0442\u043b\u043e\u0436\u0435\u043d\u043d\u044b\u0445 \u0434\u0430\u043d\u043d\u044b\u0445.<\/li>\n<\/ul>\n<h2 id=\"s5\">\u0412\u044b\u0432\u043e\u0434\u044b<\/h2>\n<ul>\n<li>\u0420\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u044f \u043f\u0440\u0435\u0434\u0441\u043a\u0430\u0437\u044b\u0432\u0430\u0435\u0442 \u043d\u0435\u043f\u0440\u0435\u0440\u044b\u0432\u043d\u043e\u0435 \u0447\u0438\u0441\u043b\u043e \u043f\u043e \u043f\u0440\u0438\u0437\u043d\u0430\u043a\u0430\u043c; \u043f\u0440\u0435\u0434\u0441\u043a\u0430\u0437\u0430\u043d\u0438\u0435 \u043a\u0430\u0442\u0435\u0433\u043e\u0440\u0438\u0438 &#8212; \u044d\u0442\u043e \u0443\u0436\u0435 \u043a\u043b\u0430\u0441\u0441\u0438\u0444\u0438\u043a\u0430\u0446\u0438\u044f, \u0430 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u043e\u043d\u043d\u043e\u0435 \u0442\u0435\u0441\u0442\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435 &#8212; \u0432\u043e\u043e\u0431\u0449\u0435 \u0438\u0437 \u0434\u0440\u0443\u0433\u043e\u0439 \u043e\u0431\u043b\u0430\u0441\u0442\u0438.<\/li>\n<li>\u041f\u0440\u043e\u0441\u0442\u0443\u044e \u043b\u0438\u043d\u0435\u0439\u043d\u0443\u044e \u043c\u043e\u0434\u0435\u043b\u044c Y = a + bx \u043f\u043e\u0434\u0431\u0438\u0440\u0430\u044e\u0442 \u043c\u0435\u0442\u043e\u0434\u043e\u043c \u043d\u0430\u0438\u043c\u0435\u043d\u044c\u0448\u0438\u0445 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043e\u0432: \u043d\u0430\u043a\u043b\u043e\u043d \u0440\u0430\u0432\u0435\u043d \u043a\u043e\u0432\u0430\u0440\u0438\u0430\u0446\u0438\u0438 x \u0438 y, \u0434\u0435\u043b\u0435\u043d\u043d\u043e\u0439 \u043d\u0430 \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0438\u044e x.<\/li>\n<li>\u041a\u0430\u0447\u0435\u0441\u0442\u0432\u043e \u0441\u043c\u043e\u0442\u0440\u044f\u0442 \u043f\u043e R^2, MAE \u0438 RMSE \u0438 \u043e\u0431\u044f\u0437\u0430\u0442\u0435\u043b\u044c\u043d\u043e \u043d\u0430 \u043e\u0442\u043b\u043e\u0436\u0435\u043d\u043d\u043e\u0439 \u0432\u044b\u0431\u043e\u0440\u043a\u0435 &#8212; \u0432\u044b\u0441\u043e\u043a\u0438\u0439 R^2 \u043d\u0430 \u043e\u0431\u0443\u0447\u0430\u044e\u0449\u0438\u0445 \u0434\u0430\u043d\u043d\u044b\u0445 \u0435\u0449\u0435 \u043d\u0435 \u0433\u0430\u0440\u0430\u043d\u0442\u0438\u0440\u0443\u0435\u0442 \u0442\u043e\u0447\u043d\u043e\u0441\u0442\u0438 \u043d\u0430 \u043d\u043e\u0432\u044b\u0445.<\/li>\n<li>\u0412\u0438\u0434\u044b \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438 \u0432\u044b\u0431\u0438\u0440\u0430\u044e\u0442 \u043f\u043e\u0434 \u0437\u0430\u0434\u0430\u0447\u0443; \u0440\u0435\u0433\u0443\u043b\u044f\u0440\u0438\u0437\u0430\u0446\u0438\u044f ridge, lasso \u0438 elastic net \u0441\u0434\u0435\u0440\u0436\u0438\u0432\u0430\u0435\u0442 \u0440\u0430\u0437\u0431\u0443\u0445\u0430\u043d\u0438\u0435 \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u043e\u0432 \u0438 \u043f\u0435\u0440\u0435\u043e\u0431\u0443\u0447\u0435\u043d\u0438\u0435 \u043f\u0440\u0438 \u043c\u043d\u043e\u0433\u0438\u0445 \u043a\u043e\u0440\u0440\u0435\u043b\u0438\u0440\u0443\u044e\u0449\u0438\u0445 \u043f\u0440\u0438\u0437\u043d\u0430\u043a\u0430\u0445.<\/li>\n<li>\u0413\u043b\u0430\u0432\u043d\u044b\u0435 \u0433\u0440\u0430\u0431\u043b\u0438 \u043e\u0434\u043d\u043e\u0442\u0438\u043f\u043d\u044b: \u044d\u043a\u0441\u0442\u0440\u0430\u043f\u043e\u043b\u044f\u0446\u0438\u044f \u0437\u0430 \u043f\u0440\u0435\u0434\u0435\u043b\u044b \u0434\u0430\u043d\u043d\u044b\u0445, \u043f\u043e\u0434\u043c\u0435\u043d\u0430 \u043f\u0440\u0438\u0447\u0438\u043d\u044b \u043a\u043e\u0440\u0440\u0435\u043b\u044f\u0446\u0438\u0435\u0439, \u0432\u044b\u0431\u0440\u043e\u0441\u044b \u0438 \u043f\u0435\u0440\u0435\u043e\u0431\u0443\u0447\u0435\u043d\u0438\u0435.<\/li>\n<\/ul>\n<h2 id=\"s6\">\u0413\u0434\u0435 \u043f\u0440\u0438\u043c\u0435\u043d\u044f\u0435\u0442\u0441\u044f \u0438 \u0447\u0442\u043e \u0443\u0447\u0438\u0442\u044c \u0434\u0430\u043b\u044c\u0448\u0435<\/h2>\n<p>\u0420\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u044f &#8212; \u043e\u0434\u043d\u0430 \u0438\u0437 \u043f\u0435\u0440\u0432\u044b\u0445 \u043c\u043e\u0434\u0435\u043b\u0435\u0439, \u0441 \u043a\u043e\u0442\u043e\u0440\u043e\u0439 \u0437\u043d\u0430\u043a\u043e\u043c\u044f\u0442\u0441\u044f \u0432 \u0430\u043d\u0430\u043b\u0438\u0437\u0435 \u0434\u0430\u043d\u043d\u044b\u0445. \u041d\u0430 \u043d\u0435\u0439 \u0434\u0435\u0440\u0436\u0430\u0442\u0441\u044f \u043f\u0440\u043e\u0433\u043d\u043e\u0437 \u0441\u043f\u0440\u043e\u0441\u0430 \u0438 \u0446\u0435\u043d, \u043e\u0446\u0435\u043d\u043a\u0430 \u0440\u0438\u0441\u043a\u043e\u0432 \u0432 \u0441\u043a\u043e\u0440\u0438\u043d\u0433\u0435, \u043f\u043b\u0430\u043d\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435 \u043d\u0430\u0433\u0440\u0443\u0437\u043a\u0438, \u0430\u043d\u0430\u043b\u0438\u0437 A\/B-\u0442\u0435\u0441\u0442\u043e\u0432 \u0438 \u0437\u0430\u0432\u0438\u0441\u0438\u043c\u043e\u0441\u0442\u0438 \u043c\u0435\u0442\u0440\u0438\u043a \u043e\u0442 \u0444\u0430\u043a\u0442\u043e\u0440\u043e\u0432. \u041f\u043e\u043d\u0438\u043c\u0430\u043d\u0438\u0435 \u041c\u041d\u041a, \u043c\u0435\u0442\u0440\u0438\u043a \u043a\u0430\u0447\u0435\u0441\u0442\u0432\u0430 \u0438 \u0440\u0435\u0433\u0443\u043b\u044f\u0440\u0438\u0437\u0430\u0446\u0438\u0438 \u043d\u0443\u0436\u043d\u043e \u043f\u043e\u0447\u0442\u0438 \u0432 \u043b\u044e\u0431\u043e\u0439 \u0437\u0430\u0434\u0430\u0447\u0435 \u043f\u0440\u0435\u0434\u0441\u043a\u0430\u0437\u0430\u043d\u0438\u044f \u0447\u0438\u0441\u0435\u043b.<\/p>\n<div class=\"oj-cta\" style=\"background:#fbf4e4;border-left:4px solid #c9962b;border-radius:8px;padding:16px 20px;margin:24px 0\">\n<p style=\"margin:0 0 8px\"><strong>\u041e\u0441\u0432\u043e\u0439\u0442\u0435 \u0442\u0435\u043c\u0443 \u043d\u0430 \u043f\u0440\u0430\u043a\u0442\u0438\u043a\u0435<\/strong><\/p>\n<p>\u0415\u0441\u043b\u0438 \u0445\u043e\u0447\u0435\u0442\u0441\u044f \u043e\u0441\u0432\u043e\u0438\u0442\u044c \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u044e \u0438 \u0434\u0440\u0443\u0433\u0438\u0435 \u0431\u0430\u0437\u043e\u0432\u044b\u0435 \u043c\u043e\u0434\u0435\u043b\u0438 \u043d\u0430 \u043f\u0440\u0430\u043a\u0442\u0438\u043a\u0435 &#8212; \u0441 \u043f\u043e\u0434\u0433\u043e\u0442\u043e\u0432\u043a\u043e\u0439 \u0434\u0430\u043d\u043d\u044b\u0445, \u043e\u0431\u0443\u0447\u0435\u043d\u0438\u0435\u043c \u0438 \u043e\u0446\u0435\u043d\u043a\u043e\u0439 \u043a\u0430\u0447\u0435\u0441\u0442\u0432\u0430, &#8212; \u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0438\u0442\u0435 \u043a\u0443\u0440\u0441 <a href=\"https:\/\/otus.ru\/lessons\/ml-basic\/?utm_source=oj&amp;utm_medium=article&amp;utm_campaign=chto-nuzhno-znat-o-regressii&amp;utm_content=course\">Machine Learning. Basic<\/a>. \u041f\u043e\u043d\u044f\u0442\u044c \u0444\u043e\u0440\u043c\u0430\u0442 \u0438 \u0443\u0440\u043e\u0432\u0435\u043d\u044c \u0434\u043e \u0441\u0442\u0430\u0440\u0442\u0430 \u043f\u043e\u043c\u043e\u0433\u0430\u044e\u0442 \u0431\u0435\u0441\u043f\u043b\u0430\u0442\u043d\u044b\u0435 <a href=\"https:\/\/otus.ru\/events\/?utm_source=oj&amp;utm_medium=article&amp;utm_campaign=chto-nuzhno-znat-o-regressii&amp;utm_content=events\">\u043e\u0442\u043a\u0440\u044b\u0442\u044b\u0435 \u0443\u0440\u043e\u043a\u0438 Otus<\/a> &#8212; \u0436\u0438\u0432\u044b\u0435 \u0437\u0430\u043d\u044f\u0442\u0438\u044f \u0441 \u043f\u0440\u0435\u043f\u043e\u0434\u0430\u0432\u0430\u0442\u0435\u043b\u044f\u043c\u0438.<\/p>\n<\/div>\n<h2 id=\"s7\">FAQ<\/h2>\n<p><strong>\u0427\u0435\u043c \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u044f \u043e\u0442\u043b\u0438\u0447\u0430\u0435\u0442\u0441\u044f \u043e\u0442 \u043a\u043e\u0440\u0440\u0435\u043b\u044f\u0446\u0438\u0438?<\/strong> \u041a\u043e\u0440\u0440\u0435\u043b\u044f\u0446\u0438\u044f &#8212; \u044d\u0442\u043e \u043e\u0434\u043d\u043e \u0447\u0438\u0441\u043b\u043e, \u0441\u0438\u043b\u0430 \u0438 \u043d\u0430\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u0435 \u043b\u0438\u043d\u0435\u0439\u043d\u043e\u0439 \u0441\u0432\u044f\u0437\u0438 \u0434\u0432\u0443\u0445 \u0432\u0435\u043b\u0438\u0447\u0438\u043d. \u0420\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u044f \u0441\u0442\u0440\u043e\u0438\u0442 \u0441\u0430\u043c\u0443 \u043c\u043e\u0434\u0435\u043b\u044c \u0441\u0432\u044f\u0437\u0438 \u0438 \u043f\u043e\u0437\u0432\u043e\u043b\u044f\u0435\u0442 \u043f\u043e x \u043f\u0440\u0435\u0434\u0441\u043a\u0430\u0437\u044b\u0432\u0430\u0442\u044c \u043a\u043e\u043d\u043a\u0440\u0435\u0442\u043d\u043e\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 y.<\/p>\n<p><strong>\u0421\u043a\u043e\u043b\u044c\u043a\u043e \u043d\u0443\u0436\u043d\u043e \u0434\u0430\u043d\u043d\u044b\u0445, \u0447\u0442\u043e\u0431\u044b \u043e\u0431\u0443\u0447\u0438\u0442\u044c \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u044e?<\/strong> \u0421\u0442\u0440\u043e\u0433\u043e\u0433\u043e \u043c\u0438\u043d\u0438\u043c\u0443\u043c\u0430 \u043d\u0435\u0442, \u043d\u043e \u043f\u0440\u0438\u0437\u043d\u0430\u043a\u043e\u0432 \u0434\u043e\u043b\u0436\u043d\u043e \u0431\u044b\u0442\u044c \u0437\u0430\u043c\u0435\u0442\u043d\u043e \u043c\u0435\u043d\u044c\u0448\u0435, \u0447\u0435\u043c \u043d\u0430\u0431\u043b\u044e\u0434\u0435\u043d\u0438\u0439. \u041d\u0430 \u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u0438\u0445 \u0442\u043e\u0447\u043a\u0430\u0445 \u043f\u0440\u0438 \u043c\u043d\u043e\u0433\u0438\u0445 \u043f\u0440\u0438\u0437\u043d\u0430\u043a\u0430\u0445 \u043c\u043e\u0434\u0435\u043b\u044c \u043f\u043e\u0447\u0442\u0438 \u043d\u0430\u0432\u0435\u0440\u043d\u044f\u043a\u0430 \u043f\u0435\u0440\u0435\u043e\u0431\u0443\u0447\u0438\u0442\u0441\u044f.<\/p>\n<p><strong>\u041e\u0431\u044f\u0437\u0430\u0442\u0435\u043b\u044c\u043d\u043e \u043b\u0438 \u043c\u0430\u0441\u0448\u0442\u0430\u0431\u0438\u0440\u043e\u0432\u0430\u0442\u044c \u043f\u0440\u0438\u0437\u043d\u0430\u043a\u0438?<\/strong> \u0414\u043b\u044f \u043e\u0431\u044b\u0447\u043d\u043e\u0439 \u043b\u0438\u043d\u0435\u0439\u043d\u043e\u0439 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438 &#8212; \u043d\u0435\u0442, \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442 \u043d\u0435 \u0438\u0437\u043c\u0435\u043d\u0438\u0442\u0441\u044f. \u041d\u043e \u0434\u043b\u044f ridge, lasso \u0438 elastic net \u043c\u0430\u0441\u0448\u0442\u0430\u0431 \u0432\u0430\u0436\u0435\u043d: \u0448\u0442\u0440\u0430\u0444 \u0437\u0430\u0432\u0438\u0441\u0438\u0442 \u043e\u0442 \u0432\u0435\u043b\u0438\u0447\u0438\u043d\u044b \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u043e\u0432, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043f\u0440\u0438\u0437\u043d\u0430\u043a\u0438 \u043f\u0440\u0438\u0432\u043e\u0434\u044f\u0442 \u043a \u0441\u043e\u043f\u043e\u0441\u0442\u0430\u0432\u0438\u043c\u043e\u043c\u0443 \u043c\u0430\u0441\u0448\u0442\u0430\u0431\u0443.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0420\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u044f &#8212; \u044d\u0442\u043e \u043c\u0435\u0442\u043e\u0434 \u043c\u0430\u0448\u0438\u043d\u043d\u043e\u0433\u043e \u043e\u0431\u0443\u0447\u0435\u043d\u0438\u044f \u0438 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u043a\u0438, \u043a\u043e\u0442\u043e\u0440\u044b\u0439 \u043f\u0440\u0435\u0434\u0441\u043a\u0430\u0437\u044b\u0432\u0430\u0435\u0442 \u0447\u0438\u0441\u043b\u043e\u0432\u0443\u044e \u0432\u0435\u043b\u0438\u0447\u0438\u043d\u0443 (\u0446\u0435\u043d\u0443, \u0442\u0435\u043c\u043f\u0435\u0440\u0430\u0442\u0443\u0440\u0443, \u0441\u043f\u0440\u043e\u0441) \u043f\u043e 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