{"id":316,"date":"2023-08-02T14:06:03","date_gmt":"2023-08-02T14:06:03","guid":{"rendered":"https:\/\/statorials.org\/ar\/%d8%a7%d9%84%d8%a7%d9%86%d8%ad%d8%af%d8%a7%d8%b1-%d8%a7%d9%84%d8%ae%d8%b7%d9%8a-1\/"},"modified":"2023-08-02T14:06:03","modified_gmt":"2023-08-02T14:06:03","slug":"%d8%a7%d9%84%d8%a7%d9%86%d8%ad%d8%af%d8%a7%d8%b1-%d8%a7%d9%84%d8%ae%d8%b7%d9%8a-1","status":"publish","type":"post","link":"https:\/\/statorials.org\/ar\/%d8%a7%d9%84%d8%a7%d9%86%d8%ad%d8%af%d8%a7%d8%b1-%d8%a7%d9%84%d8%ae%d8%b7%d9%8a-1\/","title":{"rendered":"\u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631\u0627\u0644\u062e\u0637\u064a"},"content":{"rendered":"<p style=\";text-align:right;direction:rtl\">\u062a\u0634\u0631\u062d \u0647\u0630\u0647 \u0627\u0644\u0645\u0642\u0627\u0644\u0629 \u0645\u0627 \u0647\u0648 \u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631 \u0627\u0644\u062e\u0637\u064a \u0648\u0645\u0627 \u064a\u062a\u0645 \u0627\u0633\u062a\u062e\u062f\u0627\u0645\u0647 \u0641\u064a \u0627\u0644\u0625\u062d\u0635\u0627\u0626\u064a\u0627\u062a. \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0633\u0648\u0641 \u062a\u0643\u0648\u0646 \u0642\u0627\u062f\u0631\u064b\u0627 \u0639\u0644\u0649 \u0631\u0624\u064a\u0629 \u0643\u064a\u0641\u064a\u0629 \u062d\u0633\u0627\u0628 \u0646\u0648\u0639\u064a \u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631 \u0627\u0644\u062e\u0637\u064a: \u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631 \u0627\u0644\u062e\u0637\u064a \u0627\u0644\u0628\u0633\u064a\u0637 \u0648\u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631 \u0627\u0644\u062e\u0637\u064a \u0627\u0644\u0645\u062a\u0639\u062f\u062f.<\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-regresion-lineal\"><\/span> \u0645\u0627 \u0647\u0648 \u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631 \u0627\u0644\u062e\u0637\u064a\u061f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631 \u0627\u0644\u062e\u0637\u064a<\/strong> \u0647\u0648 \u0646\u0645\u0648\u0630\u062c \u0625\u062d\u0635\u0627\u0626\u064a \u064a\u0631\u0628\u0637 \u0648\u0627\u062d\u062f\u064b\u0627 \u0623\u0648 \u0623\u0643\u062b\u0631 \u0645\u0646 \u0627\u0644\u0645\u062a\u063a\u064a\u0631\u0627\u062a \u0627\u0644\u0645\u0633\u062a\u0642\u0644\u0629 \u0628\u0645\u062a\u063a\u064a\u0631 \u062a\u0627\u0628\u0639. \u0628\u0628\u0633\u0627\u0637\u0629\u060c \u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631 \u0627\u0644\u062e\u0637\u064a \u0647\u0648 \u0623\u0633\u0644\u0648\u0628 \u064a\u0633\u062a\u062e\u062f\u0645 \u0644\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0645\u0639\u0627\u062f\u0644\u0629 \u062a\u0642\u0627\u0631\u0628 \u0627\u0644\u0639\u0644\u0627\u0642\u0629 \u0628\u064a\u0646 \u0648\u0627\u062d\u062f \u0623\u0648 \u0623\u0643\u062b\u0631 \u0645\u0646 \u0627\u0644\u0645\u062a\u063a\u064a\u0631\u0627\u062a \u0627\u0644\u062a\u0648\u0636\u064a\u062d\u064a\u0629 \u0648\u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u0627\u0633\u062a\u062c\u0627\u0628\u0629.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 y=2+5x <sub>1<\/sub> -3x <sub>2<\/sub> +8x <sub>3<\/sub> \u0647\u064a \u0646\u0645\u0648\u0630\u062c \u0627\u0646\u062d\u062f\u0627\u0631 \u062e\u0637\u064a \u0644\u0623\u0646\u0647\u0627 \u062a\u0631\u0628\u0637 \u0631\u064a\u0627\u0636\u064a\u064b\u0627 \u0628\u064a\u0646 \u062b\u0644\u0627\u062b\u0629 \u0645\u062a\u063a\u064a\u0631\u0627\u062a \u0645\u0633\u062a\u0642\u0644\u0629 (x <sub>1<\/sub> , x <sub>2<\/sub> , x <sub>3<\/sub> ) \u0645\u0639 \u0645\u062a\u063a\u064a\u0631 \u062a\u0627\u0628\u0639 (y)\u060c \u0639\u0644\u0627\u0648\u0629 \u0639\u0644\u0649 \u0630\u0644\u0643\u060c \u0627\u0644\u0639\u0644\u0627\u0642\u0629 \u0628\u064a\u0646 \u0627\u0644\u0645\u062a\u063a\u064a\u0631\u0627\u062a \u062e\u0637\u064a\u0629.<\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"tipos-de-regresion-lineal\"><\/span>\u0623\u0646\u0648\u0627\u0639 \u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631 \u0627\u0644\u062e\u0637\u064a<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0647\u0646\u0627\u0643 <strong>\u0646\u0648\u0639\u0627\u0646 \u0645\u0646 \u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631 \u0627\u0644\u062e\u0637\u064a<\/strong> :<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;;text-align:right;direction:rtl\">\n<li style=\"margin-bottom:20px;text-align:right;direction:rtl\"> <span style=\"color:#101010;font-weight: normal;\"><strong>\u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631 \u0627\u0644\u062e\u0637\u064a \u0627\u0644\u0628\u0633\u064a\u0637<\/strong> : \u064a\u0631\u062a\u0628\u0637 \u0645\u062a\u063a\u064a\u0631 \u0645\u0633\u062a\u0642\u0644 \u0648\u0627\u062d\u062f \u0628\u0645\u062a\u063a\u064a\u0631 \u062a\u0627\u0628\u0639. \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0645\u0639\u0627\u062f\u0644\u0629 \u0647\u0630\u0627 \u0627\u0644\u0646\u0648\u0639 \u0645\u0646 \u0646\u0645\u0648\u0630\u062c \u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631 \u0627\u0644\u062e\u0637\u064a \u0647\u064a \u0628\u0627\u0644\u0635\u064a\u063a\u0629 y=\u03b2 <sub>0<\/sub> +\u03b2 <sub>1<\/sub> x <sub>1<\/sub> .<\/span><\/li>\n<li style=\"margin-bottom:20px;text-align:right;direction:rtl\"> <span style=\"color:#101010;font-weight: normal;\"><strong>\u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631 \u0627\u0644\u062e\u0637\u064a \u0627\u0644\u0645\u062a\u0639\u062f\u062f<\/strong> : \u064a\u062d\u062a\u0648\u064a \u0646\u0645\u0648\u0630\u062c \u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631 \u0639\u0644\u0649 \u0639\u062f\u0629 \u0645\u062a\u063a\u064a\u0631\u0627\u062a \u062a\u0648\u0636\u064a\u062d\u064a\u0629 \u0648\u0645\u062a\u063a\u064a\u0631 \u0627\u0633\u062a\u062c\u0627\u0628\u0629. \u0644\u0630\u0644\u0643\u060c \u0641\u0625\u0646 \u0645\u0639\u0627\u062f\u0644\u0629 \u0647\u0630\u0627 \u0627\u0644\u0646\u0648\u0639 \u0645\u0646 \u0646\u0645\u0627\u0630\u062c \u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631 \u0627\u0644\u062e\u0637\u064a \u0647\u064a \u0628\u0627\u0644\u0635\u064a\u063a\u0629 y=\u03b2 <sub>0<\/sub> +\u03b2 <sub>1<\/sub> x <sub>1<\/sub> +\u03b2 <sub>2<\/sub> x <sub>2<\/sub> \u2026+\u03b2 <sub>m<\/sub> x <sub>m<\/sub> .<\/span> <\/li>\n<\/ul>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"regresion-lineal-simple\"><\/span> \u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631 \u0627\u0644\u062e\u0637\u064a \u0627\u0644\u0628\u0633\u064a\u0637<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u064a\u062a\u0645 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 <strong>\u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631 \u0627\u0644\u062e\u0637\u064a \u0627\u0644\u0628\u0633\u064a\u0637<\/strong> \u0644\u0631\u0628\u0637 \u0645\u062a\u063a\u064a\u0631 \u0645\u0633\u062a\u0642\u0644 \u0648\u0627\u062d\u062f \u0628\u0643\u0644\u0627 \u0627\u0644\u0645\u062a\u063a\u064a\u0631\u064a\u0646.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0625\u0646 \u0645\u0639\u0627\u062f\u0644\u0629 \u0646\u0645\u0648\u0630\u062c \u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631 \u0627\u0644\u062e\u0637\u064a \u0627\u0644\u0628\u0633\u064a\u0637 \u0639\u0628\u0627\u0631\u0629 \u0639\u0646 \u062e\u0637 \u0645\u0633\u062a\u0642\u064a\u0645\u060c \u0648\u0644\u0630\u0644\u0643 \u0641\u0647\u064a \u062a\u062a\u0643\u0648\u0646 \u0645\u0646 \u0645\u0639\u0627\u0645\u0644\u064a\u0646: \u062b\u0627\u0628\u062a \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 (\u03b2 <sub>0<\/sub> ) \u0648\u0645\u0639\u0627\u0645\u0644 \u0627\u0644\u0627\u0631\u062a\u0628\u0627\u0637 \u0628\u064a\u0646 \u0627\u0644\u0645\u062a\u063a\u064a\u0631\u064a\u0646 (\u03b2 <sub>1<\/sub> ). \u0648\u0644\u0630\u0644\u0643\u060c \u0641\u0625\u0646 \u0645\u0639\u0627\u062f\u0644\u0629 \u0646\u0645\u0648\u0630\u062c \u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631 \u0627\u0644\u062e\u0637\u064a \u0627\u0644\u0628\u0633\u064a\u0637 \u0647\u064a y=\u03b2 <sub>0<\/sub> +\u03b2 <sub>1<\/sub> x.<\/p>\n<p style=\";text-align:right;direction:rtl\">\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 style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0644\u0635\u064a\u063a \u0644\u062d\u0633\u0627\u0628 \u0645\u0639\u0627\u0645\u0644\u0627\u062a \u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631 \u0627\u0644\u062e\u0637\u064a \u0627\u0644\u0628\u0633\u064a\u0637<\/strong> \u0647\u064a \u0643\u0645\u0627 \u064a\u0644\u064a:<\/p>\n<p style=\";text-align:right;direction:rtl\">\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;text-align:right;direction:rtl\"> \u0630\u0647\u0628:<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;;text-align:right;direction:rtl\">\n<li style=\"margin-bottom:5px;text-align:right;direction:rtl\">\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> \u0647\u0648 \u062b\u0627\u0628\u062a \u062e\u0637 \u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631.<\/li>\n<li style=\"margin-bottom:5px;text-align:right;direction:rtl\">\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> \u0647\u0648 \u0645\u064a\u0644 \u062e\u0637 \u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631<\/li>\n<li style=\"margin-bottom:5px;text-align:right;direction:rtl\">\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> \u0647\u064a \u0642\u064a\u0645\u0629 \u0627\u0644\u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u0645\u0633\u062a\u0642\u0644 X \u0644\u0644\u0628\u064a\u0627\u0646\u0627\u062a i.<\/li>\n<li style=\"margin-bottom:5px;text-align:right;direction:rtl\">\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> \u0647\u064a \u0642\u064a\u0645\u0629 \u0627\u0644\u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u062a\u0627\u0628\u0639 Y \u0644\u0644\u0628\u064a\u0627\u0646\u0627\u062a i.<\/li>\n<li style=\"margin-bottom:5px;text-align:right;direction:rtl\">\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> \u0647\u0648 \u0645\u062a\u0648\u0633\u0637 \u0642\u064a\u0645 \u0627\u0644\u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u0645\u0633\u062a\u0642\u0644<\/li>\n<li style=\"margin-bottom:5px;text-align:right;direction:rtl\">\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> \u0647\u0648 \u0645\u062a\u0648\u0633\u0637 \u0642\u064a\u0645 \u0627\u0644\u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u062a\u0627\u0628\u0639 Y. <\/li>\n<\/ul>\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;;text-align:right;direction:rtl\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>\u0627\u0646\u0638\u0631:<\/strong> <a href=\"https:\/\/statorials.org\/ar\/\u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631-\u0627\u0644\u062e\u0637\u064a-\u0627\u0644\u0628\u0633\u064a\u0637\/\">\u0645\u062b\u0627\u0644 \u0645\u0644\u0645\u0648\u0633 \u0644\u0644\u0627\u0646\u062d\u062f\u0627\u0631 \u0627\u0644\u062e\u0637\u064a \u0627\u0644\u0628\u0633\u064a\u0637<\/a> <\/div>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"regresion-lineal-multiple\"><\/span> \u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631 \u0627\u0644\u062e\u0637\u064a \u0627\u0644\u0645\u062a\u0639\u062f\u062f<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0641\u064a \u0646\u0645\u0648\u0630\u062c <strong>\u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631 \u0627\u0644\u062e\u0637\u064a \u0627\u0644\u0645\u062a\u0639\u062f\u062f<\/strong> \u060c \u064a\u062a\u0645 \u062a\u0636\u0645\u064a\u0646 \u0645\u062a\u063a\u064a\u0631\u064a\u0646 \u0645\u0633\u062a\u0642\u0644\u064a\u0646 \u0639\u0644\u0649 \u0627\u0644\u0623\u0642\u0644. \u0628\u0645\u0639\u0646\u0649 \u0622\u062e\u0631\u060c \u064a\u0633\u0645\u062d \u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631 \u0627\u0644\u062e\u0637\u064a \u0627\u0644\u0645\u062a\u0639\u062f\u062f \u0628\u0631\u0628\u0637 \u0627\u0644\u0639\u062f\u064a\u062f \u0645\u0646 \u0627\u0644\u0645\u062a\u063a\u064a\u0631\u0627\u062a \u0627\u0644\u062a\u0648\u0636\u064a\u062d\u064a\u0629 \u062e\u0637\u064a\u064b\u0627 \u0628\u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u0627\u0633\u062a\u062c\u0627\u0628\u0629.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0645\u0639\u0627\u062f\u0644\u0629 \u0646\u0645\u0648\u0630\u062c \u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631 \u0627\u0644\u062e\u0637\u064a \u0627\u0644\u0645\u062a\u0639\u062f\u062f \u0647\u064a y=\u03b2 <sub>0<\/sub> +\u03b2 <sub>1<\/sub> x <sub>1<\/sub> +\u03b2 <sub>2<\/sub> x <sub>2<\/sub> +\u2026+\u03b2 <sub>m<\/sub> x <sub>m<\/sub> +\u03b5.<\/p>\n<p style=\";text-align:right;direction:rtl\">\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;text-align:right;direction:rtl\"> \u0630\u0647\u0628:<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;;text-align:right;direction:rtl\">\n<li style=\"margin-bottom:5px;text-align:right;direction:rtl\">\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> \u0647\u0648 \u0627\u0644\u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u062a\u0627\u0628\u0639.<\/li>\n<li style=\"margin-bottom:5px;text-align:right;direction:rtl\">\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> \u0647\u0648 \u0627\u0644\u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u0645\u0633\u062a\u0642\u0644 \u0623\u0646\u0627 .<\/li>\n<li style=\"margin-bottom:5px;text-align:right;direction:rtl\">\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> \u0647\u0648 \u062b\u0627\u0628\u062a \u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631 \u0627\u0644\u062e\u0637\u064a \u0627\u0644\u0645\u062a\u0639\u062f\u062f.<\/li>\n<li style=\"margin-bottom:5px;text-align:right;direction:rtl\">\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> \u0647\u0648 \u0645\u0639\u0627\u0645\u0644 \u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631 \u0627\u0644\u0645\u0631\u062a\u0628\u0637 \u0628\u0627\u0644\u0645\u062a\u063a\u064a\u0631<\/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;text-align:right;direction:rtl\">\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> \u0647\u0648 \u0627\u0644\u062e\u0637\u0623 \u0623\u0648 \u0627\u0644\u0645\u062a\u0628\u0642\u064a\u060c \u0623\u064a \u0627\u0644\u0641\u0631\u0642 \u0628\u064a\u0646 \u0627\u0644\u0642\u064a\u0645\u0629 \u0627\u0644\u0645\u0631\u0635\u0648\u062f\u0629 \u0648\u0627\u0644\u0642\u064a\u0645\u0629 \u0627\u0644\u0645\u0642\u062f\u0631\u0629 \u0628\u0648\u0627\u0633\u0637\u0629 \u0627\u0644\u0646\u0645\u0648\u0630\u062c.<\/li>\n<li style=\"margin-bottom:5px;text-align:right;direction:rtl\">\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> \u0647\u0648 \u0627\u0644\u0639\u062f\u062f \u0627\u0644\u0625\u062c\u0645\u0627\u0644\u064a \u0644\u0644\u0645\u062a\u063a\u064a\u0631\u0627\u062a \u0641\u064a \u0627\u0644\u0646\u0645\u0648\u0630\u062c.<\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0630\u0644\u0643 \u0625\u0630\u0627 \u0643\u0627\u0646 \u0644\u062f\u064a\u0646\u0627 \u0639\u064a\u0646\u0629 \u0628\u0625\u062c\u0645\u0627\u0644\u064a<\/p>\n<p style=\";text-align:right;direction:rtl\">\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> \u0627\u0644\u0645\u0644\u0627\u062d\u0638\u0627\u062a\u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u0623\u0646 \u0646\u0637\u0631\u062d \u0646\u0645\u0648\u0630\u062c \u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631 \u0627\u0644\u062e\u0637\u064a \u0627\u0644\u0645\u062a\u0639\u062f\u062f \u0641\u064a \u0634\u0643\u0644 \u0645\u0635\u0641\u0648\u0641\u0629:<\/p>\n<p style=\";text-align:right;direction:rtl\">\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 style=\";text-align:right;direction:rtl\"> \u064a\u0645\u0643\u0646 \u0625\u0639\u0627\u062f\u0629 \u0643\u062a\u0627\u0628\u0629 \u062a\u0639\u0628\u064a\u0631 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0623\u0639\u0644\u0627\u0647 \u0639\u0646 \u0637\u0631\u064a\u0642 \u062a\u062e\u0635\u064a\u0635 \u062d\u0631\u0641 \u0644\u0643\u0644 \u0645\u0635\u0641\u0648\u0641\u0629:<\/p>\n<p style=\";text-align:right;direction:rtl\">\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 style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c \u0645\u0646 \u062e\u0644\u0627\u0644 \u062a\u0637\u0628\u064a\u0642 \u0645\u0639\u064a\u0627\u0631 \u0627\u0644\u0645\u0631\u0628\u0639\u0627\u062a \u0627\u0644\u0635\u063a\u0631\u0649\u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0644\u0648\u0635\u0648\u0644 \u0625\u0644\u0649 <strong>\u0635\u064a\u063a\u0629 \u062a\u0642\u062f\u064a\u0631 \u0645\u0639\u0627\u0645\u0644\u0627\u062a \u0646\u0645\u0648\u0630\u062c \u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631 \u0627\u0644\u062e\u0637\u064a \u0627\u0644\u0645\u062a\u0639\u062f\u062f<\/strong> :<\/p>\n<p style=\";text-align:right;direction:rtl\">\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 style=\";text-align:right;direction:rtl\"> \u0648\u0645\u0639 \u0630\u0644\u0643\u060c \u0641\u0625\u0646 \u062a\u0637\u0628\u064a\u0642 \u0647\u0630\u0647 \u0627\u0644\u0635\u064a\u063a\u0629 \u0634\u0627\u0642 \u0644\u0644\u063a\u0627\u064a\u0629 \u0648\u064a\u0633\u062a\u063a\u0631\u0642 \u0648\u0642\u062a\u064b\u0627 \u0637\u0648\u064a\u0644\u0627\u064b\u060c \u0648\u0644\u0647\u0630\u0627 \u0627\u0644\u0633\u0628\u0628 \u064a\u0648\u0635\u0649 \u0639\u0645\u0644\u064a\u064b\u0627 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0628\u0631\u0627\u0645\u062c \u0627\u0644\u0643\u0645\u0628\u064a\u0648\u062a\u0631 (\u0645\u062b\u0644 Minitab \u0623\u0648 Excel) \u0627\u0644\u062a\u064a \u062a\u0633\u0645\u062d \u0628\u0625\u0646\u0634\u0627\u0621 \u0646\u0645\u0648\u0630\u062c \u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631 \u0627\u0644\u0645\u062a\u0639\u062f\u062f \u0628\u0633\u0631\u0639\u0629 \u0623\u0643\u0628\u0631. <\/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;;text-align:right;direction:rtl\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>\u0627\u0646\u0638\u0631:<\/strong> <a href=\"https:\/\/statorials.org\/ar\/\u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631-\u0627\u0644\u062e\u0637\u064a-\u0627\u0644\u0645\u062a\u0639\u062f\u062f-1\/\">\u062a\u0641\u0633\u064a\u0631 \u0646\u0645\u0648\u0630\u062c \u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631 \u0627\u0644\u062e\u0637\u064a \u0627\u0644\u0645\u062a\u0639\u062f\u062f<\/a> <\/div>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"supuestos-de-la-regresion-lineal\"><\/span> \u0627\u0641\u062a\u0631\u0627\u0636\u0627\u062a \u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631 \u0627\u0644\u062e\u0637\u064a<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0641\u064a \u0646\u0645\u0648\u0630\u062c \u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631 \u0627\u0644\u062e\u0637\u064a\u060c \u064a\u062c\u0628 \u0627\u0633\u062a\u064a\u0641\u0627\u0621 \u0627\u0644\u0634\u0631\u0648\u0637 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u062d\u062a\u0649 \u064a\u0643\u0648\u0646 \u0627\u0644\u0646\u0645\u0648\u0630\u062c \u0635\u0627\u0644\u062d\u064b\u0627:<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;;text-align:right;direction:rtl\">\n<li style=\"margin-bottom:16px;text-align:right;direction:rtl\"> <span style=\"color:#101010;font-weight: normal;\"><strong>\u0627\u0644\u0627\u0633\u062a\u0642\u0644\u0627\u0644<\/strong> : \u064a\u062c\u0628 \u0623\u0646 \u062a\u0643\u0648\u0646 \u0627\u0644\u0628\u0642\u0627\u064a\u0627 \u0645\u0633\u062a\u0642\u0644\u0629 \u0639\u0646 \u0628\u0639\u0636\u0647\u0627 \u0627\u0644\u0628\u0639\u0636. \u0625\u062d\u062f\u0649 \u0627\u0644\u0637\u0631\u0642 \u0627\u0644\u0634\u0627\u0626\u0639\u0629 \u0644\u0636\u0645\u0627\u0646 \u0627\u0633\u062a\u0642\u0644\u0627\u0644\u064a\u0629 \u0627\u0644\u0646\u0645\u0648\u0630\u062c \u0647\u064a \u0625\u0636\u0627\u0641\u0629 \u0627\u0644\u0639\u0634\u0648\u0627\u0626\u064a\u0629 \u0625\u0644\u0649 \u0639\u0645\u0644\u064a\u0629 \u0623\u062e\u0630 \u0627\u0644\u0639\u064a\u0646\u0627\u062a.<\/span><\/li>\n<li style=\"margin-bottom:16px;text-align:right;direction:rtl\"> <span style=\"color:#101010;font-weight: normal;\"><strong>\u0627\u0644\u062a\u062c\u0627\u0646\u0633<\/strong> : \u064a\u062c\u0628 \u0623\u0646 \u064a\u0643\u0648\u0646 \u0647\u0646\u0627\u0643 \u062a\u062c\u0627\u0646\u0633 \u0641\u064a \u062a\u0628\u0627\u064a\u0646\u0627\u062a \u0627\u0644\u0628\u0642\u0627\u064a\u0627\u060c \u0623\u064a \u0623\u0646 \u062a\u0628\u0627\u064a\u0646 \u0627\u0644\u0628\u0642\u0627\u064a\u0627 \u064a\u062c\u0628 \u0623\u0646 \u064a\u0643\u0648\u0646 \u062b\u0627\u0628\u062a\u0627\u064b.<\/span><\/li>\n<li style=\"margin-bottom:16px;text-align:right;direction:rtl\"> <span style=\"color:#101010;font-weight: normal;\"><strong>\u0639\u062f\u0645 \u062a\u0639\u062f\u062f \u0627\u0644\u062e\u0637\u064a\u0629<\/strong> : \u0644\u0627 \u064a\u0645\u0643\u0646 \u0631\u0628\u0637 \u0627\u0644\u0645\u062a\u063a\u064a\u0631\u0627\u062a \u0627\u0644\u062a\u0648\u0636\u064a\u062d\u064a\u0629 \u0627\u0644\u0645\u062a\u0636\u0645\u0646\u0629 \u0641\u064a \u0627\u0644\u0646\u0645\u0648\u0630\u062c \u0628\u0628\u0639\u0636\u0647\u0627 \u0627\u0644\u0628\u0639\u0636\u060c \u0623\u0648 \u0639\u0644\u0649 \u0627\u0644\u0623\u0642\u0644 \u064a\u062c\u0628 \u0623\u0646 \u062a\u0643\u0648\u0646 \u0627\u0644\u0639\u0644\u0627\u0642\u0629 \u0628\u064a\u0646\u0647\u0627 \u0636\u0639\u064a\u0641\u0629 \u0644\u0644\u063a\u0627\u064a\u0629.<\/span><\/li>\n<li style=\"margin-bottom:16px;text-align:right;direction:rtl\"> <span style=\"color:#101010;font-weight: normal;\"><strong>\u0627\u0644\u062d\u0627\u0644\u0629 \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629<\/strong> : \u064a\u062c\u0628 \u0623\u0646 \u064a\u062a\u0645 \u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0628\u0642\u0627\u064a\u0627 \u0628\u0634\u0643\u0644 \u0637\u0628\u064a\u0639\u064a\u060c \u0623\u0648 \u0628\u0645\u0639\u0646\u0649 \u0622\u062e\u0631\u060c \u064a\u062c\u0628 \u0623\u0646 \u062a\u062a\u0628\u0639 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0637\u0628\u064a\u0639\u064a \u0628\u0645\u062a\u0648\u0633\u0637 0.<\/span><\/li>\n<li style=\"margin-bottom:16px;text-align:right;direction:rtl\"> <span style=\"color:#101010;font-weight: normal;\"><strong>\u0627\u0644\u062e\u0637\u064a\u0629<\/strong> : \u064a\u0641\u062a\u0631\u0636 \u0623\u0646 \u0627\u0644\u0639\u0644\u0627\u0642\u0629 \u0628\u064a\u0646 \u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u0627\u0633\u062a\u062c\u0627\u0628\u0629 \u0648\u0627\u0644\u0645\u062a\u063a\u064a\u0631\u0627\u062a \u0627\u0644\u062a\u0648\u0636\u064a\u062d\u064a\u0629 \u062e\u0637\u064a\u0629.<\/span> <\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"%c2%bfpara-que-sirve-la-regresion-lineal\"><\/span> \u0645\u0627 \u0647\u0648 \u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631 \u0627\u0644\u062e\u0637\u064a \u0627\u0644\u0645\u0633\u062a\u062e\u062f\u0645\u061f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631 \u0627\u0644\u062e\u0637\u064a \u0644\u0647 \u0641\u064a \u0627\u0644\u0623\u0633\u0627\u0633 \u0627\u0633\u062a\u062e\u062f\u0627\u0645\u0627\u0646: \u064a\u0633\u062a\u062e\u062f\u0645 \u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631 \u0627\u0644\u062e\u0637\u064a \u0644\u0634\u0631\u062d \u0627\u0644\u0639\u0644\u0627\u0642\u0629 \u0628\u064a\u0646 \u0627\u0644\u0645\u062a\u063a\u064a\u0631\u0627\u062a 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\u064a\u0633\u062a\u062e\u062f\u0645 [&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":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 \u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631 \u0627\u0644\u062e\u0637\u064a<\/title>\n<meta name=\"description\" content=\"\u0633\u062a\u062c\u062f \u0647\u0646\u0627 \u0645\u0627 \u0647\u0648 \u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631 \u0627\u0644\u062e\u0637\u064a\u060c \u0648\u0623\u0646\u0648\u0627\u0639 \u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631 \u0627\u0644\u062e\u0637\u064a (\u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631 \u0627\u0644\u062e\u0637\u064a \u0627\u0644\u0641\u0631\u062f\u064a \u0648\u0627\u0644\u0645\u062a\u0639\u062f\u062f) \u0648\u0635\u064a\u063a 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