{"id":318,"date":"2023-08-02T13:13:50","date_gmt":"2023-08-02T13:13:50","guid":{"rendered":"https:\/\/statorials.org\/ru\/%d1%83%d1%80%d0%b0%d0%b2%d0%bd%d0%b5%d0%bd%d0%b8%d0%b5-%d1%80%d0%b5%d0%b3%d1%80%d0%b5%d1%81%d1%81%d0%b8%d0%b8\/"},"modified":"2023-08-02T13:13:50","modified_gmt":"2023-08-02T13:13:50","slug":"%d1%83%d1%80%d0%b0%d0%b2%d0%bd%d0%b5%d0%bd%d0%b8%d0%b5-%d1%80%d0%b5%d0%b3%d1%80%d0%b5%d1%81%d1%81%d0%b8%d0%b8","status":"publish","type":"post","link":"https:\/\/statorials.org\/ru\/%d1%83%d1%80%d0%b0%d0%b2%d0%bd%d0%b5%d0%bd%d0%b8%d0%b5-%d1%80%d0%b5%d0%b3%d1%80%d0%b5%d1%81%d1%81%d0%b8%d0%b8\/","title":{"rendered":"\u0423\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438"},"content":{"rendered":"<p>\u0412 \u044d\u0442\u043e\u0439 \u0441\u0442\u0430\u0442\u044c\u0435 \u043e\u0431\u044a\u044f\u0441\u043d\u044f\u0435\u0442\u0441\u044f, \u0447\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438 \u0438 \u0434\u043b\u044f \u0447\u0435\u0433\u043e \u043e\u043d\u043e \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u0442\u0441\u044f. \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u0432\u044b \u0443\u0437\u043d\u0430\u0435\u0442\u0435, \u043a\u0430\u043a \u043d\u0430\u0439\u0442\u0438 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438, \u0440\u0435\u0448\u0438\u0442\u044c \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 \u0438, \u043d\u0430\u043a\u043e\u043d\u0435\u0446, \u043e\u043d\u043b\u0430\u0439\u043d-\u043a\u0430\u043b\u044c\u043a\u0443\u043b\u044f\u0442\u043e\u0440 \u0434\u043b\u044f \u0440\u0430\u0441\u0447\u0435\u0442\u0430 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438 \u0434\u043b\u044f \u043b\u044e\u0431\u043e\u0433\u043e \u043d\u0430\u0431\u043e\u0440\u0430 \u0434\u0430\u043d\u043d\u044b\u0445. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfcual-es-la-ecuacion-de-regresion\"><\/span> \u0427\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>\u0423\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438<\/strong> \u2014 \u044d\u0442\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435, \u043a\u043e\u0442\u043e\u0440\u043e\u0435 \u043b\u0443\u0447\u0448\u0435 \u0432\u0441\u0435\u0433\u043e \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \u0442\u043e\u0447\u0435\u0447\u043d\u043e\u043c\u0443 \u0433\u0440\u0430\u0444\u0438\u043a\u0443, \u0442\u043e \u0435\u0441\u0442\u044c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u043b\u0443\u0447\u0448\u0438\u043c \u043f\u0440\u0438\u0431\u043b\u0438\u0436\u0435\u043d\u0438\u0435\u043c \u043d\u0430\u0431\u043e\u0440\u0430 \u0434\u0430\u043d\u043d\u044b\u0445.<\/p>\n<p> \u0423\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438 \u0438\u043c\u0435\u0435\u0442 \u0444\u043e\u0440\u043c\u0443 y=\u03b2 <sub>0<\/sub> +\u03b2 <sub>1<\/sub> x, \u0433\u0434\u0435 \u03b2 <sub>0<\/sub> \u2014 \u043a\u043e\u043d\u0441\u0442\u0430\u043d\u0442\u0430 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f, \u0430 \u03b2 <sub>1<\/sub> \u2014 \u043d\u0430\u043a\u043b\u043e\u043d \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-83e43f626a469e9de3d5ecfed9a216ac_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=\\beta_0+\\beta_1x\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"100\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> \u0415\u0441\u043b\u0438 \u0432\u044b \u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0438\u0442\u0435 \u043d\u0430 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438, \u044d\u0442\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043b\u0438\u043d\u0438\u0438. \u042d\u0442\u043e \u043e\u0437\u043d\u0430\u0447\u0430\u0435\u0442, \u0447\u0442\u043e \u0441\u0432\u044f\u0437\u044c \u043c\u0435\u0436\u0434\u0443 \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u043e\u0439 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439 X \u0438 \u0437\u0430\u0432\u0438\u0441\u0438\u043c\u043e\u0439 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439 Y \u043c\u043e\u0434\u0435\u043b\u0438\u0440\u0443\u0435\u0442\u0441\u044f \u043a\u0430\u043a \u043b\u0438\u043d\u0435\u0439\u043d\u0430\u044f \u0437\u0430\u0432\u0438\u0441\u0438\u043c\u043e\u0441\u0442\u044c, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u043b\u0438\u043d\u0438\u044f \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u0442 \u043b\u0438\u043d\u0435\u0439\u043d\u0443\u044e \u0441\u0432\u044f\u0437\u044c.<\/p>\n<p> \u0418\u0442\u0430\u043a, \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438 \u043f\u043e\u0437\u0432\u043e\u043b\u044f\u0435\u0442 \u043d\u0430\u043c \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u0438 \u0441\u0432\u044f\u0437\u0430\u0442\u044c \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u0443\u044e \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u0443\u044e \u0438 \u0437\u0430\u0432\u0438\u0441\u0438\u043c\u0443\u044e \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u0443\u044e \u043d\u0430\u0431\u043e\u0440\u0430 \u0434\u0430\u043d\u043d\u044b\u0445. \u0425\u043e\u0442\u044f \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438, \u043a\u0430\u043a \u043f\u0440\u0430\u0432\u0438\u043b\u043e, \u043d\u0435 \u0441\u043f\u043e\u0441\u043e\u0431\u043d\u043e \u0442\u043e\u0447\u043d\u043e \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u043a\u0430\u0436\u0434\u043e\u0433\u043e \u043d\u0430\u0431\u043b\u044e\u0434\u0435\u043d\u0438\u044f, \u043e\u043d\u043e, \u0442\u0435\u043c \u043d\u0435 \u043c\u0435\u043d\u0435\u0435, \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u0442\u0441\u044f \u0434\u043b\u044f \u043f\u043e\u043b\u0443\u0447\u0435\u043d\u0438\u044f \u043f\u0440\u0438\u0431\u043b\u0438\u0437\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f \u0435\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f. <\/p>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/ligne-de-regression.png\" alt=\"\u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438\" class=\"wp-image-6708\" width=\"235\" height=\"219\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p> \u041a\u0430\u043a \u0432\u044b \u043c\u043e\u0436\u0435\u0442\u0435 \u0432\u0438\u0434\u0435\u0442\u044c \u043d\u0430 \u043f\u0440\u0435\u0434\u044b\u0434\u0443\u0449\u0435\u0439 \u0434\u0438\u0430\u0433\u0440\u0430\u043c\u043c\u0435, \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438 \u043f\u043e\u043c\u043e\u0433\u0430\u0435\u0442 \u043d\u0430\u043c \u0443\u0432\u0438\u0434\u0435\u0442\u044c \u0442\u0435\u043d\u0434\u0435\u043d\u0446\u0438\u044e \u043d\u0430\u0431\u043e\u0440\u0430 \u0434\u0430\u043d\u043d\u044b\u0445 \u0438 \u0442\u0438\u043f \u0441\u0432\u044f\u0437\u0438 \u043c\u0435\u0436\u0434\u0443 \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u043e\u0439 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439 \u0438 \u0437\u0430\u0432\u0438\u0441\u0438\u043c\u043e\u0439 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"como-calcular-la-ecuacion-de-regresion\"><\/span> \u041a\u0430\u043a \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0442\u044c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>\u0424\u043e\u0440\u043c\u0443\u043b\u044b \u0440\u0430\u0441\u0447\u0435\u0442\u0430 \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u043e\u0432 \u043f\u0440\u043e\u0441\u0442\u043e\u0433\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u043b\u0438\u043d\u0435\u0439\u043d\u043e\u0439 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438<\/strong> \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-459281504d26f92756115054ef567021_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}\\beta_1=\\cfrac{\\displaystyle \\sum_{i=1}^n (x_i-\\overline{x})(y_i-\\overline{y})}{\\displaystyle \\sum_{i=1}^n (x_i-\\overline{x})^2}\\\\[12ex]\\beta_0=\\overline{y}-\\beta_1\\overline{x}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"176\" width=\"192\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\"> \u0417\u043e\u043b\u043e\u0442\u043e:<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-c5ba513cc7e504bc674f76afa70a3442_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\beta_0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"17\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u2013 \u043a\u043e\u043d\u0441\u0442\u0430\u043d\u0442\u0430 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438.<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-dff50ab66b848b910ea781069cba1094_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\beta_1\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"16\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u2013 \u043d\u0430\u043a\u043b\u043e\u043d \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438.<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-dad27a9703483183e1afd245f5232b83_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x_i\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"15\" style=\"vertical-align: -3px;\"><\/p>\n<p> \u2014 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u043e\u0439 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439 X \u0434\u0430\u043d\u043d\u044b\u0445 i.<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-761333a1d61654bd1cb5c7224b0d1994_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y_i\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u2014 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u0437\u0430\u0432\u0438\u0441\u0438\u043c\u043e\u0439 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439 Y \u0434\u0430\u043d\u043d\u044b\u0445 i.<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-a39858a792fb4fe9a3173e004701f2a7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{x}\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u0442 \u0441\u043e\u0431\u043e\u0439 \u0441\u0440\u0435\u0434\u043d\u0435\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u043e\u0439 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-ed5becac4ccb36fec040f449ba9fa52d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{y}\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"10\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u0442 \u0441\u043e\u0431\u043e\u0439 \u0441\u0440\u0435\u0434\u043d\u0435\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u0437\u0430\u0432\u0438\u0441\u0438\u043c\u043e\u0439 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439 Y. <\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-del-calculo-de-la-ecuacion-de-regresion\"><\/span> \u041f\u0440\u0438\u043c\u0435\u0440 \u0440\u0430\u0441\u0447\u0435\u0442\u0430 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ul>\n<li> \u041f\u043e\u0441\u043b\u0435 \u0441\u0434\u0430\u0447\u0438 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u0433\u043e \u044d\u043a\u0437\u0430\u043c\u0435\u043d\u0430 \u043f\u044f\u0442\u0435\u0440\u044b\u043c \u0441\u0442\u0443\u0434\u0435\u043d\u0442\u0430\u043c \u0431\u044b\u043b \u0437\u0430\u0434\u0430\u043d \u0432\u043e\u043f\u0440\u043e\u0441, \u0441\u043a\u043e\u043b\u044c\u043a\u043e \u0443\u0447\u0435\u0431\u043d\u044b\u0445 \u0447\u0430\u0441\u043e\u0432 \u043e\u043d\u0438 \u043f\u043e\u0442\u0440\u0430\u0442\u0438\u043b\u0438 \u043d\u0430 \u044d\u043a\u0437\u0430\u043c\u0435\u043d, \u0434\u0430\u043d\u043d\u044b\u0435 \u043f\u0440\u0438\u0432\u0435\u0434\u0435\u043d\u044b \u0432 \u0442\u0430\u0431\u043b\u0438\u0446\u0435 \u043d\u0438\u0436\u0435. \u0420\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0439\u0442\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438 \u043d\u0430 \u043e\u0441\u043d\u043e\u0432\u0435 \u0441\u043e\u0431\u0440\u0430\u043d\u043d\u044b\u0445 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u0447\u0435\u0441\u043a\u0438\u0445 \u0434\u0430\u043d\u043d\u044b\u0445, \u0447\u0442\u043e\u0431\u044b \u043b\u0438\u043d\u0435\u0439\u043d\u043e \u0441\u0432\u044f\u0437\u0430\u0442\u044c \u0447\u0430\u0441\u044b \u043e\u0431\u0443\u0447\u0435\u043d\u0438\u044f \u0441 \u043f\u043e\u043b\u0443\u0447\u0435\u043d\u043d\u043e\u0439 \u043e\u0446\u0435\u043d\u043a\u043e\u0439. \u0414\u0430\u043b\u0435\u0435 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435, \u043a\u0430\u043a\u0443\u044e \u043e\u0446\u0435\u043d\u043a\u0443 \u043f\u043e\u043b\u0443\u0447\u0438\u0442 \u0443\u0447\u0435\u043d\u0438\u043a, \u043f\u0440\u043e\u0443\u0447\u0438\u0432\u0448\u0438\u0439\u0441\u044f 8 \u0447\u0430\u0441\u043e\u0432. <\/li>\n<\/ul>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/donnees-de-regression-lineaire-simple.png\" alt=\"\" class=\"wp-image-6503\" width=\"213\" height=\"220\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p> \u0427\u0442\u043e\u0431\u044b \u043d\u0430\u0439\u0442\u0438 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438 \u0434\u043b\u044f \u0432\u044b\u0431\u043e\u0440\u043e\u0447\u043d\u044b\u0445 \u0434\u0430\u043d\u043d\u044b\u0445, \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u044b b <sub>0<\/sub> \u0438 b <sub>1<\/sub> \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f, \u0438 \u0434\u043b\u044f \u044d\u0442\u043e\u0433\u043e \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c \u0444\u043e\u0440\u043c\u0443\u043b\u044b, \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u043d\u044b\u0435 \u0432 \u0440\u0430\u0437\u0434\u0435\u043b\u0435 \u0432\u044b\u0448\u0435.<\/p>\n<p> \u041e\u0434\u043d\u0430\u043a\u043e, \u0447\u0442\u043e\u0431\u044b \u043f\u0440\u0438\u043c\u0435\u043d\u0438\u0442\u044c \u0444\u043e\u0440\u043c\u0443\u043b\u044b \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u043b\u0438\u043d\u0435\u0439\u043d\u043e\u0439 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438, \u043c\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u0441\u043d\u0430\u0447\u0430\u043b\u0430 \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0441\u0440\u0435\u0434\u043d\u0435\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u043e\u0439 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439 \u0438 \u0441\u0440\u0435\u0434\u043d\u0435\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u0437\u0430\u0432\u0438\u0441\u0438\u043c\u043e\u0439 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-7a7aa6f1f20fa4ff0d61a2ad0dd2ea1f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}\\overline{x}=\\cfrac{11+5+10+12+7}{5}=9\\\\[4ex]\\overline{y}=\\cfrac{7+4+5+8+6}{5}=6\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"105\" width=\"226\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0422\u0435\u043f\u0435\u0440\u044c, \u043a\u043e\u0433\u0434\u0430 \u043c\u044b \u0437\u043d\u0430\u0435\u043c \u0441\u0440\u0435\u0434\u043d\u0438\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0445, \u043c\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u044f\u0435\u043c \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442 \u03b2 <sub>1<\/sub> \u043c\u043e\u0434\u0435\u043b\u0438, \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u044f \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u044e\u0449\u0443\u044e \u0444\u043e\u0440\u043c\u0443\u043b\u0443:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-d9407478d6d590c0d970ac41963f6fbe_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}\\beta_1=\\cfrac{\\displaystyle \\sum_{i=1}^n (x_i-\\overline{x})(y_i-\\overline{y})}{\\displaystyle \\sum_{i=1}^n (x_i-\\overline{x})^2}\\\\[10ex] \\beta_1=\\cfrac{\\begin{array}{c}(11-9)(7-6)+(5-9)(4-6)+(10-9)(5-6)+\\\\+(12-9)(8-6)+(7-9)(6-6)\\end{array}}{(11-9)^2+(5-9)^2+(10-9)^2+(12-9)^2+(7-9)^2}\\\\[6ex]\\beta_1=0,4412\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"264\" width=\"461\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u041d\u0430\u043a\u043e\u043d\u0435\u0446, \u043c\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u044f\u0435\u043c \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442 \u03b2 <sub>0<\/sub> \u043c\u043e\u0434\u0435\u043b\u0438, \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u044f \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u044e\u0449\u0443\u044e \u0444\u043e\u0440\u043c\u0443\u043b\u0443:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-a8872fb5b9904b106d02b504ae36bb92_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}\\beta_0=\\overline{y}-\\beta_1\\overline{x}\\\\[3ex]\\beta_0=6-0,4412\\cdot 9 \\\\[3ex]\\beta_0=2,0294\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"107\" width=\"146\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0412\u043a\u0440\u0430\u0442\u0446\u0435, \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043b\u0438\u043d\u0438\u0438 \u043b\u0438\u043d\u0435\u0439\u043d\u043e\u0439 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438 \u0437\u0430\u0434\u0430\u0447\u0438 \u0432\u044b\u0433\u043b\u044f\u0434\u0438\u0442 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-7097952b105295743a390d0332e7a2b3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=2,0294+0,4412x\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"170\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> \u041d\u0438\u0436\u0435 \u0432\u044b \u043c\u043e\u0436\u0435\u0442\u0435 \u0443\u0432\u0438\u0434\u0435\u0442\u044c \u0433\u0440\u0430\u0444\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u0438\u0435 \u0432\u044b\u0431\u043e\u0440\u043e\u0447\u043d\u044b\u0445 \u0434\u0430\u043d\u043d\u044b\u0445 \u0432\u043c\u0435\u0441\u0442\u0435 \u0441 \u043f\u0440\u043e\u0441\u0442\u044b\u043c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435\u043c \u043c\u043e\u0434\u0435\u043b\u0438 \u043b\u0438\u043d\u0435\u0439\u043d\u043e\u0439 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438: <\/p>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/exemple-de-regression-lineaire-simple.png\" alt=\"\u043f\u0440\u0438\u043c\u0435\u0440 \u043b\u0438\u043d\u0438\u0438 \u043b\u0438\u043d\u0435\u0439\u043d\u043e\u0439 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438\" class=\"wp-image-6517\" width=\"454\" height=\"304\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p> \u041f\u043e\u0441\u043b\u0435 \u0442\u043e\u0433\u043e, \u043a\u0430\u043a \u043c\u044b \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u043b\u0438 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438, \u0447\u0442\u043e\u0431\u044b \u0441\u043f\u0440\u043e\u0433\u043d\u043e\u0437\u0438\u0440\u043e\u0432\u0430\u0442\u044c \u043e\u0446\u0435\u043d\u043a\u0443, \u043a\u043e\u0442\u043e\u0440\u0443\u044e \u043f\u043e\u043b\u0443\u0447\u0438\u0442 \u0441\u0442\u0443\u0434\u0435\u043d\u0442, \u043f\u0440\u043e\u0443\u0447\u0438\u0432\u0448\u0438\u0439\u0441\u044f 8 \u0447\u0430\u0441\u043e\u0432, \u043f\u0440\u043e\u0441\u0442\u043e \u043f\u043e\u0434\u0441\u0442\u0430\u0432\u044c\u0442\u0435 \u044d\u0442\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u0432 \u043f\u043e\u043b\u0443\u0447\u0435\u043d\u043d\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-d1ef36c064448262d7c58b7f51b215c4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=2,0294+0,4412\\cdot 8=5,56\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"239\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u0441\u043e\u0433\u043b\u0430\u0441\u043d\u043e \u043f\u0440\u043e\u0432\u0435\u0434\u0435\u043d\u043d\u043e\u0439 \u043c\u043e\u0434\u0435\u043b\u0438 \u043b\u0438\u043d\u0435\u0439\u043d\u043e\u0439 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438, \u0435\u0441\u043b\u0438 \u0441\u0442\u0443\u0434\u0435\u043d\u0442 \u0443\u0447\u0438\u043b\u0441\u044f \u0432\u043e\u0441\u0435\u043c\u044c \u0447\u0430\u0441\u043e\u0432, \u043e\u043d \u043f\u043e\u043b\u0443\u0447\u0438\u0442 \u043d\u0430 \u044d\u043a\u0437\u0430\u043c\u0435\u043d\u0435 \u0431\u0430\u043b\u043b 5,56. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"calculadora-de-la-ecuacion-de-regresion\"><\/span> \u041a\u0430\u043b\u044c\u043a\u0443\u043b\u044f\u0442\u043e\u0440 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0412\u0441\u0442\u0430\u0432\u044c\u0442\u0435 \u043e\u0431\u0440\u0430\u0437\u0435\u0446 \u0434\u0430\u043d\u043d\u044b\u0445 \u0432 \u043a\u0430\u043b\u044c\u043a\u0443\u043b\u044f\u0442\u043e\u0440 \u043d\u0438\u0436\u0435, \u0447\u0442\u043e\u0431\u044b \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0442\u044c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438. \u0412\u0430\u043c \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u0440\u0430\u0437\u0434\u0435\u043b\u0438\u0442\u044c \u043f\u0430\u0440\u044b \u0434\u0430\u043d\u043d\u044b\u0445 \u0442\u0430\u043a, \u0447\u0442\u043e\u0431\u044b \u0432 \u043f\u0435\u0440\u0432\u043e\u043c \u043f\u043e\u043b\u0435 \u0431\u044b\u043b\u0438 \u0442\u043e\u043b\u044c\u043a\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u043e\u0439 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439 X, \u0430 \u0432\u043e \u0432\u0442\u043e\u0440\u043e\u043c \u043f\u043e\u043b\u0435 \u2014 \u0442\u043e\u043b\u044c\u043a\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f \u0437\u0430\u0432\u0438\u0441\u0438\u043c\u043e\u0439 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439 Y.<\/p>\n<p> \u0414\u0430\u043d\u043d\u044b\u0435 \u0434\u043e\u043b\u0436\u043d\u044b \u0431\u044b\u0442\u044c \u0440\u0430\u0437\u0434\u0435\u043b\u0435\u043d\u044b \u043f\u0440\u043e\u0431\u0435\u043b\u043e\u043c \u0438 \u0432\u0432\u0435\u0434\u0435\u043d\u044b \u0441 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u043d\u0438\u0435\u043c \u0442\u043e\u0447\u043a\u0438 \u0432 \u043a\u0430\u0447\u0435\u0441\u0442\u0432\u0435 \u0434\u0435\u0441\u044f\u0442\u0438\u0447\u043d\u043e\u0433\u043e \u0440\u0430\u0437\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044f.<\/p>\n<form action=\"\" method=\"post\">\n<ul>\n<li> \u041d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u0430\u044f \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u0430\u044f <\/li>\n<\/ul>\n<p><textarea name=\"datosX\" style=\"border:1.5px solid #4FC3F7; border-radius:15px;\" placeholder=\"1 4 8 5 7.2 9 ...\" required=\"\" oninvalid=\"this.setCustomValidity('Introduce los datos de la variable explicativa aqu\u00ed')\" oninput=\"this.setCustomValidity('')\"><\/textarea><\/p>\n<ul style=\"margin-top:25px\">\n<li> \u0417\u0430\u0432\u0438\u0441\u0438\u043c\u0430\u044f \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u0430\u044f Y: <\/li>\n<\/ul>\n<p><textarea name=\"datosY\" style=\"border:1.5px solid #4FC3F7; border-radius:15px;\" placeholder=\"2 5 7 3 2 1 ...\" required=\"\" oninvalid=\"this.setCustomValidity('Introduce los datos de la variable respuesta aqu\u00ed')\" oninput=\"this.setCustomValidity('')\"><\/textarea><\/p>\n<div style=\"text-align:center\"><input align=\"center\" style=\"border-radius:30px; margin: 20px\" type=\"submit\" name=\"submit\" value=\"\u0420\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0442\u044c\"><\/div>\n<\/form>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ecuacion-de-regresion-lineal-multiple\"><\/span> \u0423\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043c\u043d\u043e\u0436\u0435\u0441\u0442\u0432\u0435\u043d\u043d\u043e\u0439 \u043b\u0438\u043d\u0435\u0439\u043d\u043e\u0439 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u041c\u044b \u0442\u043e\u043b\u044c\u043a\u043e \u0447\u0442\u043e \u0443\u0432\u0438\u0434\u0435\u043b\u0438, \u0447\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u043f\u0440\u043e\u0441\u0442\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043b\u0438\u043d\u0435\u0439\u043d\u043e\u0439 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438, \u043e\u0434\u043d\u0430\u043a\u043e \u043c\u043e\u0434\u0435\u043b\u044c \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438 \u0442\u0430\u043a\u0436\u0435 \u043c\u043e\u0436\u0435\u0442 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0442\u044c \u0441\u043e\u0431\u043e\u0439 \u043c\u043e\u0434\u0435\u043b\u044c \u043c\u043d\u043e\u0436\u0435\u0441\u0442\u0432\u0435\u043d\u043d\u043e\u0439 \u043b\u0438\u043d\u0435\u0439\u043d\u043e\u0439 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438, \u043a\u043e\u0442\u043e\u0440\u0430\u044f \u0432\u043a\u043b\u044e\u0447\u0430\u0435\u0442 \u0434\u0432\u0435 \u0438\u043b\u0438 \u0431\u043e\u043b\u0435\u0435 \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u044b\u0435 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0435. \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u043c\u043d\u043e\u0436\u0435\u0441\u0442\u0432\u0435\u043d\u043d\u0430\u044f \u043b\u0438\u043d\u0435\u0439\u043d\u0430\u044f \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u044f \u043f\u043e\u0437\u0432\u043e\u043b\u044f\u0435\u0442 \u043b\u0438\u043d\u0435\u0439\u043d\u043e \u0441\u0432\u044f\u0437\u0430\u0442\u044c \u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u043e \u043e\u0431\u044a\u044f\u0441\u043d\u044f\u044e\u0449\u0438\u0445 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0445 \u0441 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439 \u043e\u0442\u043a\u043b\u0438\u043a\u0430.<\/p>\n<p> <strong>\u0423\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043c\u043e\u0434\u0435\u043b\u0438 \u043c\u043d\u043e\u0436\u0435\u0441\u0442\u0432\u0435\u043d\u043d\u043e\u0439 \u043b\u0438\u043d\u0435\u0439\u043d\u043e\u0439 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438<\/strong> :<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-fd3ba8386b5954b654ca555774108ac0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=\\beta_0+\\beta_1 x_1+\\beta_2 x_2+\\dots+\\beta_m x_m+\\varepsilon\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"305\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\"> \u0417\u043e\u043b\u043e\u0442\u043e: <\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-38461fc041e953482219abf5d4cce1cb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0437\u0430\u0432\u0438\u0441\u0438\u043c\u043e\u0439 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439.<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-dad27a9703483183e1afd245f5232b83_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x_i\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"15\" style=\"vertical-align: -3px;\"><\/p>\n<p> \u2013 \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u0430\u044f \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u0430\u044f i.<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-c5ba513cc7e504bc674f76afa70a3442_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\beta_0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"17\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u2014 \u043a\u043e\u043d\u0441\u0442\u0430\u043d\u0442\u0430 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u043c\u043d\u043e\u0436\u0435\u0441\u0442\u0432\u0435\u043d\u043d\u043e\u0439 \u043b\u0438\u043d\u0435\u0439\u043d\u043e\u0439 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438.<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-ff540c55c6ee8f10a1dab8e2422947ab_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\beta_i\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"15\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438, \u0441\u0432\u044f\u0437\u0430\u043d\u043d\u044b\u0439 \u0441 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-dad27a9703483183e1afd245f5232b83_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x_i\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"15\" style=\"vertical-align: -3px;\"><\/p>\n<p> .<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-29b8f7fac5f2df4b101dff63e95516c5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{\\varepsilon}\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u2014 \u044d\u0442\u043e \u043e\u0448\u0438\u0431\u043a\u0430 \u0438\u043b\u0438 \u043e\u0441\u0442\u0430\u0442\u043e\u043a, \u0442\u043e \u0435\u0441\u0442\u044c \u0440\u0430\u0437\u043d\u0438\u0446\u0430 \u043c\u0435\u0436\u0434\u0443 \u043d\u0430\u0431\u043b\u044e\u0434\u0430\u0435\u043c\u044b\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435\u043c \u0438 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435\u043c, \u043e\u0446\u0435\u043d\u0435\u043d\u043d\u044b\u043c \u043c\u043e\u0434\u0435\u043b\u044c\u044e.<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-fdc40b8ad1cdad0aab9d632215459d28_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"15\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u2014 \u043e\u0431\u0449\u0435\u0435 \u043a\u043e\u043b\u0438\u0447\u0435\u0441\u0442\u0432\u043e \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0445 \u0432 \u043c\u043e\u0434\u0435\u043b\u0438.<\/li>\n<\/ul>\n<p> \u0418\u0442\u0430\u043a, \u0435\u0441\u043b\u0438 \u0443 \u043d\u0430\u0441 \u0435\u0441\u0442\u044c \u043e\u0431\u0440\u0430\u0437\u0435\u0446 \u0441 \u043e\u0431\u0449\u0438\u043c \u043a\u043e\u043b\u0438\u0447\u0435\u0441\u0442\u0432\u043e\u043c<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-ec4217f4fa5fcd92a9edceba0e708cf7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u043d\u0430\u0431\u043b\u044e\u0434\u0435\u043d\u0438\u044f, \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u0438\u0442\u044c \u043c\u043e\u0434\u0435\u043b\u044c \u043c\u043d\u043e\u0436\u0435\u0441\u0442\u0432\u0435\u043d\u043d\u043e\u0439 \u043b\u0438\u043d\u0435\u0439\u043d\u043e\u0439 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438 \u0432 \u043c\u0430\u0442\u0440\u0438\u0447\u043d\u043e\u0439 \u0444\u043e\u0440\u043c\u0435:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-5848686c8ed0857f16e7e24e2a31024e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{pmatrix}y_1\\\\y_2\\\\\\vdots\\\\y_n\\end{pmatrix}=\\begin{pmatrix}1&amp;x_{11}&amp;\\dots&amp;x_{1m}\\\\1&amp;x_{21}&amp;\\dots&amp;x_{2m}\\\\ \\vdots&amp;\\vdots&amp;\\ddots&amp;\\vdots\\\\1&amp;x_{n1}&amp;\\dots&amp;x_{nm}\\end{pmatrix}\\cdot\\begin{pmatrix}\\beta_0\\\\\\beta_1\\\\\\vdots\\\\\\beta_m\\end{pmatrix}+\\begin{pmatrix}\\varepsilon_1\\\\\\varepsilon_2\\\\\\vdots\\\\\\varepsilon_n\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"96\" width=\"370\" style=\"vertical-align: -43px;\"><\/p>\n<\/p>\n<p> \u041f\u0440\u0438\u0432\u0435\u0434\u0435\u043d\u043d\u043e\u0435 \u0432\u044b\u0448\u0435 \u043c\u0430\u0442\u0440\u0438\u0447\u043d\u043e\u0435 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0435 \u043c\u043e\u0436\u043d\u043e \u043f\u0435\u0440\u0435\u043f\u0438\u0441\u0430\u0442\u044c, \u043f\u0440\u0438\u0441\u0432\u043e\u0438\u0432 \u043a\u0430\u0436\u0434\u043e\u0439 \u043c\u0430\u0442\u0440\u0438\u0446\u0435 \u0431\u0443\u043a\u0432\u0443:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-7614ddbb78ced2e2b8b6c7642d9969c3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Y=X\\beta+\\varepsilon\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"95\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u043f\u0440\u0438\u043c\u0435\u043d\u0438\u0432 \u043a\u0440\u0438\u0442\u0435\u0440\u0438\u0439 \u043d\u0430\u0438\u043c\u0435\u043d\u044c\u0448\u0438\u0445 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043e\u0432, \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u043f\u0440\u0438\u0439\u0442\u0438 \u043a <strong>\u0444\u043e\u0440\u043c\u0443\u043b\u0435 \u043e\u0446\u0435\u043d\u043a\u0438 \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u043e\u0432 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u043c\u043d\u043e\u0436\u0435\u0441\u0442\u0432\u0435\u043d\u043d\u043e\u0439 \u043b\u0438\u043d\u0435\u0439\u043d\u043e\u0439 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438<\/strong> :<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-b6ef097cee722e7355fa4eb77b7ea3e5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\widehat{\\beta}=\\left(X^tX\\right)^{-1}X^tY\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"146\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p> \u041e\u0434\u043d\u0430\u043a\u043e \u043f\u0440\u0438\u043c\u0435\u043d\u0435\u043d\u0438\u0435 \u044d\u0442\u043e\u0439 \u0444\u043e\u0440\u043c\u0443\u043b\u044b \u043e\u0447\u0435\u043d\u044c \u0442\u0440\u0443\u0434\u043e\u0435\u043c\u043a\u043e \u0438 \u0442\u0440\u0435\u0431\u0443\u0435\u0442 \u043c\u043d\u043e\u0433\u043e \u0432\u0440\u0435\u043c\u0435\u043d\u0438, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043d\u0430 \u043f\u0440\u0430\u043a\u0442\u0438\u043a\u0435 \u0440\u0435\u043a\u043e\u043c\u0435\u043d\u0434\u0443\u0435\u0442\u0441\u044f \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c \u043a\u043e\u043c\u043f\u044c\u044e\u0442\u0435\u0440\u043d\u043e\u0435 \u043f\u0440\u043e\u0433\u0440\u0430\u043c\u043c\u043d\u043e\u0435 \u043e\u0431\u0435\u0441\u043f\u0435\u0447\u0435\u043d\u0438\u0435 (\u043d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, Minitab \u0438\u043b\u0438 Excel), \u043f\u043e\u0437\u0432\u043e\u043b\u044f\u044e\u0449\u0435\u0435 \u0433\u043e\u0440\u0430\u0437\u0434\u043e \u0431\u044b\u0441\u0442\u0440\u0435\u0435 \u0441\u043e\u0437\u0434\u0430\u0442\u044c \u043c\u043e\u0434\u0435\u043b\u044c \u043c\u043d\u043e\u0436\u0435\u0441\u0442\u0432\u0435\u043d\u043d\u043e\u0439 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438. <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>\u0421\u043c.:<\/strong> <a href=\"https:\/\/statorials.org\/ru\/\u043c\u043d\u043e\u0436\u0435\u0441\u0442\u0432\u0435\u043d\u043d\u0430\u044f-\u043b\u0438\u043d\u0435\u0438\u043d\u0430\u044f-\u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u044f-1\/\">\u0427\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u043c\u043d\u043e\u0436\u0435\u0441\u0442\u0432\u0435\u043d\u043d\u0430\u044f \u043b\u0438\u043d\u0435\u0439\u043d\u0430\u044f \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u044f?<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u0412 \u044d\u0442\u043e\u0439 \u0441\u0442\u0430\u0442\u044c\u0435 \u043e\u0431\u044a\u044f\u0441\u043d\u044f\u0435\u0442\u0441\u044f, \u0447\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438 \u0438 \u0434\u043b\u044f \u0447\u0435\u0433\u043e \u043e\u043d\u043e \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u0442\u0441\u044f. \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u0432\u044b \u0443\u0437\u043d\u0430\u0435\u0442\u0435, \u043a\u0430\u043a \u043d\u0430\u0439\u0442\u0438 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438, \u0440\u0435\u0448\u0438\u0442\u044c \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 \u0438, \u043d\u0430\u043a\u043e\u043d\u0435\u0446, \u043e\u043d\u043b\u0430\u0439\u043d-\u043a\u0430\u043b\u044c\u043a\u0443\u043b\u044f\u0442\u043e\u0440 \u0434\u043b\u044f \u0440\u0430\u0441\u0447\u0435\u0442\u0430 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438 \u0434\u043b\u044f \u043b\u044e\u0431\u043e\u0433\u043e \u043d\u0430\u0431\u043e\u0440\u0430 \u0434\u0430\u043d\u043d\u044b\u0445. \u0427\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438? \u0423\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438 \u2014 \u044d\u0442\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435, \u043a\u043e\u0442\u043e\u0440\u043e\u0435 \u043b\u0443\u0447\u0448\u0435 \u0432\u0441\u0435\u0433\u043e \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \u0442\u043e\u0447\u0435\u0447\u043d\u043e\u043c\u0443 \u0433\u0440\u0430\u0444\u0438\u043a\u0443, \u0442\u043e \u0435\u0441\u0442\u044c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u043b\u0443\u0447\u0448\u0438\u043c [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[14],"tags":[],"class_list":["post-318","post","type-post","status-publish","format-standard","hentry","category-14"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 \u0423\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438<\/title>\n<meta name=\"description\" content=\"\u0417\u0434\u0435\u0441\u044c \u0432\u044b \u043d\u0430\u0439\u0434\u0435\u0442\u0435, \u0447\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438, \u043a\u0430\u043a \u043e\u043d\u043e \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u044b\u0432\u0430\u0435\u0442\u0441\u044f (\u0444\u043e\u0440\u043c\u0443\u043b\u0430), \u0440\u0435\u0448\u0435\u043d\u0438\u0435 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f \u0438 \u043a\u0430\u043b\u044c\u043a\u0443\u043b\u044f\u0442\u043e\u0440 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statorials.org\/ru\/\u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435-\u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438\/\" \/>\n<meta property=\"og:locale\" content=\"ru_RU\" \/>\n<meta property=\"og:type\" 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