{"id":317,"date":"2023-08-02T14:06:03","date_gmt":"2023-08-02T14:06:03","guid":{"rendered":"https:\/\/statorials.org\/my\/linear-%e1%80%86%e1%80%af%e1%80%90%e1%80%ba%e1%80%9a%e1%80%af%e1%80%90%e1%80%ba%e1%80%99%e1%80%be%e1%80%af-%e1%81%81\/"},"modified":"2023-08-02T14:06:03","modified_gmt":"2023-08-02T14:06:03","slug":"linear-%e1%80%86%e1%80%af%e1%80%90%e1%80%ba%e1%80%9a%e1%80%af%e1%80%90%e1%80%ba%e1%80%99%e1%80%be%e1%80%af-%e1%81%81","status":"publish","type":"post","link":"https:\/\/statorials.org\/my\/linear-%e1%80%86%e1%80%af%e1%80%90%e1%80%ba%e1%80%9a%e1%80%af%e1%80%90%e1%80%ba%e1%80%99%e1%80%be%e1%80%af-%e1%81%81\/","title":{"rendered":"\u1010\u1005\u103a\u1015\u103c\u1031\u1038\u100a\u102e \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f"},"content":{"rendered":"<p>\u1024\u1006\u1031\u102c\u1004\u103a\u1038\u1015\u102b\u1038\u1010\u103d\u1004\u103a linear regression \u101e\u100a\u103a \u1021\u1018\u101a\u103a\u1021\u101b\u102c\u1014\u103e\u1004\u1037\u103a \u104e\u1004\u103a\u1038\u1000\u102d\u102f \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1019\u103b\u102c\u1038\u1021\u1010\u103d\u1000\u103a \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u101b\u103e\u1004\u103a\u1038\u1015\u103c\u1011\u102c\u1038\u101e\u100a\u103a\u104b \u1011\u102d\u102f\u1037\u1021\u1015\u103c\u1004\u103a\u104a linear regression \u1021\u1019\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038 \u1014\u103e\u1005\u103a\u1001\u102f\u1000\u102d\u102f \u1019\u100a\u103a\u1000\u1032\u1037\u101e\u102d\u102f\u1037 \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1011\u102c\u1038\u101e\u100a\u103a- \u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u101e\u1031\u102c linear regression \u1014\u103e\u1004\u1037\u103a multiple linear regression \u1000\u102d\u102f \u101e\u1004\u103a\u1010\u103d\u1031\u1037\u1019\u103c\u1004\u103a\u1014\u102d\u102f\u1004\u103a\u1019\u100a\u103a\u1016\u103c\u1005\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-regresion-lineal\"><\/span> linear regression \u1006\u102d\u102f\u1010\u102c \u1018\u102c\u101c\u1032\u104b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Linear regression<\/strong> \u101e\u100a\u103a \u1010\u1005\u103a\u1001\u102f \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1010\u1005\u103a\u1001\u102f\u1011\u1000\u103a\u1015\u102d\u102f\u101e\u1031\u102c \u1021\u1019\u103e\u102e\u1021\u1001\u102d\u102f\u1000\u1004\u103a\u1038\u101e\u1031\u102c variable \u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1019\u103e\u102e\u1001\u102d\u102f\u101e\u1031\u102c variable \u1014\u103e\u1004\u1037\u103a \u1006\u1000\u103a\u1005\u1015\u103a\u1014\u1031\u101e\u1031\u102c \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1005\u1036\u1014\u1019\u1030\u1014\u102c\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u101b\u102d\u102f\u1038\u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u101b\u103e\u1004\u103a\u1038\u1015\u103c\u1031\u102c\u101b\u101c\u103b\u103e\u1004\u103a linear regression \u101e\u100a\u103a \u1010\u1005\u103a\u1001\u102f \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1010\u1005\u103a\u1001\u102f\u1011\u1000\u103a\u1015\u102d\u102f\u101e\u1031\u102c explanatory variables \u1014\u103e\u1004\u1037\u103a response variable \u1021\u1000\u103c\u102c\u1038 \u1006\u1000\u103a\u1014\u103d\u101a\u103a\u1019\u103e\u102f\u1000\u102d\u102f \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u101e\u100a\u1037\u103a \u100a\u102e\u1019\u103b\u103e\u1001\u103c\u1004\u103a\u1038\u1010\u1005\u103a\u1001\u102f\u1000\u102d\u102f \u101b\u103e\u102c\u1016\u103d\u1031\u101b\u1014\u103a \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u1037\u103a \u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/p>\n<p> \u1025\u1015\u1019\u102c\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a\u104a \u100a\u102e\u1019\u103b\u103e\u1001\u103c\u1004\u103a\u1038 y=2+5x <sub>1<\/sub> -3x <sub>2<\/sub> +8x <sub>3<\/sub> \u101e\u100a\u103a \u1021\u1019\u103e\u102e\u1021\u1001\u102d\u102f\u1000\u1004\u103a\u1038\u101e\u1031\u102c variable \u101e\u102f\u1036\u1038\u1001\u102f (x <sub>1<\/sub> , x <sub>2<\/sub> , x <sub>3<\/sub> ) \u1010\u102d\u102f\u1037\u1000\u102d\u102f \u101e\u1004\u103a\u1039\u1001\u103b\u102c\u1014\u100a\u103a\u1038\u1021\u101b \u1006\u1000\u103a\u1005\u1015\u103a\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a (y) \u1014\u103e\u1004\u1037\u103a \u1006\u1000\u103a\u1014\u103d\u101a\u103a\u1014\u1031\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a variable \u1019\u103b\u102c\u1038\u1000\u103c\u102c\u1038 \u1006\u1000\u103a\u1005\u1015\u103a\u1019\u103e\u102f\u101e\u100a\u103a linear \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"tipos-de-regresion-lineal\"><\/span>Linear Regression \u1021\u1019\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1019\u103b\u102c\u1038<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>linear regression \u101f\u1030\u104d \u1014\u103e\u1005\u103a\u1019\u103b\u102d\u102f\u1038\u101b\u103e\u102d<\/strong> \u101e\u100a\u103a\u104b<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:20px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>\u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u101e\u1031\u102c linear regression<\/strong> : \u1021\u1019\u103e\u102e\u1021\u1001\u102d\u102f\u1000\u1004\u103a\u1038\u101e\u1031\u102c \u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1010\u1005\u103a\u1001\u102f\u101e\u100a\u103a \u1019\u103e\u102e\u1001\u102d\u102f\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1010\u1005\u103a\u1001\u102f\u1014\u103e\u1004\u1037\u103a \u1001\u103b\u102d\u1010\u103a\u1006\u1000\u103a\u1011\u102c\u1038\u101e\u100a\u103a\u104b \u1024\u1019\u103b\u1009\u103a\u1038\u1000\u103c\u1031\u102c\u1004\u103a\u1038\u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1015\u102f\u1036\u1005\u1036\u1021\u1010\u103d\u1000\u103a \u100a\u102e\u1019\u103b\u103e\u1001\u103c\u1004\u103a\u1038\u101e\u100a\u103a y=\u03b2 <sub>0<\/sub> +\u03b2 <sub>1<\/sub> x <sub>1<\/sub> \u1015\u102f\u1036\u1005\u1036\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/li>\n<li style=\"margin-bottom:20px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Multiple linear regression<\/strong> : regression model \u1010\u103d\u1004\u103a \u101b\u103e\u1004\u103a\u1038\u101c\u1004\u103a\u1038\u1001\u103b\u1000\u103a\u1015\u103c\u1031\u102c\u1004\u103a\u1038\u1014\u102d\u102f\u1004\u103a\u101e\u1031\u102c variable \u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a \u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f variable \u1019\u103b\u102c\u1038\u1005\u103d\u102c\u101b\u103e\u102d\u101e\u100a\u103a\u104b \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a \u1024\u1019\u103b\u1009\u103a\u1038\u1000\u103c\u1031\u102c\u1004\u103a\u1038\u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1015\u102f\u1036\u1005\u1036\u104f \u100a\u102e\u1019\u103b\u103e\u1001\u103c\u1004\u103a\u1038\u101e\u100a\u103a 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> \u1015\u102f\u1036\u1005\u1036\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span> <\/li>\n<\/ul>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"regresion-lineal-simple\"><\/span> \u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u101e\u1031\u102c linear \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> <strong>\u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u101e\u1031\u102c linear regression<\/strong> \u1000\u102d\u102f variable \u1014\u103e\u1005\u103a\u1001\u102f\u101c\u102f\u1036\u1038\u1014\u103e\u1004\u1037\u103a \u101e\u102e\u1038\u1001\u103c\u102c\u1038\u101c\u103d\u1010\u103a\u101c\u1015\u103a\u101e\u1031\u102c variable \u1010\u1005\u103a\u1001\u102f\u1000\u102d\u102f \u1006\u1000\u103a\u1005\u1015\u103a\u101b\u1014\u103a \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u103a\u104b<\/p>\n<p> \u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u101e\u1031\u102c linear regression model \u104f \u100a\u102e\u1019\u103b\u103e\u1001\u103c\u1004\u103a\u1038\u101e\u100a\u103a \u1019\u103b\u1009\u103a\u1038\u1016\u103c\u1031\u102c\u1004\u1037\u103a\u1016\u103c\u1005\u103a\u1015\u103c\u102e\u1038\u104a \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u104e\u1004\u103a\u1038\u1000\u102d\u102f coefficients \u1014\u103e\u1005\u103a\u1001\u102f\u1016\u103c\u1004\u1037\u103a \u1016\u103d\u1032\u1037\u1005\u100a\u103a\u1038\u1011\u102c\u1038\u101e\u100a\u103a- \u100a\u102e\u1019\u103b\u103e\u1001\u103c\u1004\u103a\u1038 (\u03b2 <sub>0<\/sub> ) \u1014\u103e\u1004\u1037\u103a variable \u1014\u103e\u1005\u103a\u1001\u102f\u1000\u103c\u102c\u1038\u101b\u103e\u102d \u1006\u1000\u103a\u1005\u1015\u103a\u1000\u102d\u1014\u103a\u1038 (\u03b2 <sub>1<\/sub> )\u104b \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a \u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u101e\u1031\u102c linear regression model \u1021\u1010\u103d\u1000\u103a \u100a\u102e\u1019\u103b\u103e\u1001\u103c\u1004\u103a\u1038\u1019\u103e\u102c y=\u03b2 <sub>0<\/sub> +\u03b2 <sub>1<\/sub> x \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/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> <strong>\u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u101e\u1031\u102c linear regression coefficients \u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u1014\u103a\u1021\u1010\u103d\u1000\u103a \u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1019\u103b\u102c\u1038\u1019\u103e\u102c<\/strong> \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1010\u102d\u102f\u1004\u103a\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a \u104b<\/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\"> \u101b\u103d\u103e\u1031-<\/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> regression line \u104f \u1000\u102d\u1014\u103a\u1038\u101e\u1031\u1016\u103c\u1005\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/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> regression line \u104f slope \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/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> \u1012\u1031\u1010\u102c i \u104f \u101c\u103d\u1010\u103a\u101c\u1015\u103a\u101e\u1031\u102c \u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a X \u104f \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/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> \u1012\u1031\u1010\u102c i \u104f \u1019\u103e\u102e\u1001\u102d\u102f variable Y \u104f \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/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> \u101c\u103d\u1010\u103a\u101c\u1015\u103a\u101e\u1031\u102c variable \u104f\u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/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> dependent variable Y \u104f \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b <\/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;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <a href=\"https:\/\/statorials.org\/my\/\u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u101e\u1031\u102c-linear-\u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\/\">\u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u101e\u1031\u102c \u1019\u103b\u1009\u103a\u1038\u1000\u103c\u1031\u102c\u1004\u103a\u1038\u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u104f \u1001\u102d\u102f\u1004\u103a\u1019\u102c\u101e\u1031\u102c \u1025\u1015\u1019\u102c\u1000\u102d\u102f<\/a> <strong>\u1000\u103c\u100a\u1037\u103a\u1015\u102b\u104b<\/strong> <\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"regresion-lineal-multiple\"><\/span> \u1019\u103b\u1009\u103a\u1038\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f \u1021\u1019\u103b\u102c\u1038\u1021\u1015\u103c\u102c\u1038<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> <strong>Multiple linear regression<\/strong> model \u1010\u1005\u103a\u1001\u102f\u1010\u103d\u1004\u103a\u104a \u1021\u1014\u100a\u103a\u1038\u1006\u102f\u1036\u1038 \u101e\u102e\u1038\u1001\u103c\u102c\u1038\u101e\u1031\u102c \u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1014\u103e\u1005\u103a\u1001\u102f \u1015\u102b\u101d\u1004\u103a\u1015\u102b\u101e\u100a\u103a\u104b \u1010\u1005\u103a\u1014\u100a\u103a\u1038\u1006\u102d\u102f\u101b\u101e\u1031\u102c\u103a Multiple linear regression \u101e\u100a\u103a \u1019\u103b\u102c\u1038\u1005\u103d\u102c\u101e\u1031\u102c explanatory variable \u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f variable \u1014\u103e\u1004\u1037\u103a linearly \u1001\u103b\u102d\u1010\u103a\u1006\u1000\u103a\u1014\u102d\u102f\u1004\u103a\u1005\u1031\u1015\u102b\u101e\u100a\u103a\u104b<\/p>\n<p> Multiple linear regression model \u1021\u1010\u103d\u1000\u103a \u100a\u102e\u1019\u103b\u103e\u1001\u103c\u1004\u103a\u1038\u1019\u103e\u102c 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 \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/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\"> \u101b\u103d\u103e\u1031-<\/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> dependent variable \u1016\u103c\u1005\u103a\u1015\u102b\u1010\u101a\u103a\u104b<\/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> \u101c\u103d\u1010\u103a\u101c\u1015\u103a\u101e\u1031\u102c \u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a i \u1016\u103c\u1005\u103a\u101e\u100a\u103a \u104b<\/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> Multiple linear regression equation \u104f \u1000\u102d\u1014\u103a\u1038\u101e\u1031\u1016\u103c\u1005\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/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> \u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1014\u103e\u1004\u1037\u103a\u1006\u1000\u103a\u1005\u1015\u103a\u1014\u1031\u101e\u1031\u102c \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/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> error \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a residual \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104a \u1006\u102d\u102f\u101c\u102d\u102f\u101e\u100a\u103a\u1019\u103e\u102c \u101e\u1010\u102d\u1015\u103c\u102f\u1019\u102d\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1014\u103e\u1004\u1037\u103a \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1019\u103e \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1000\u103c\u102c\u1038 \u1000\u103d\u102c\u1001\u103c\u102c\u1038\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u1006\u102d\u102f\u101c\u102d\u102f\u101e\u100a\u103a\u104b<\/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> \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u101b\u103e\u102d \u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1019\u103b\u102c\u1038 \u1005\u102f\u1005\u102f\u1015\u1031\u102b\u1004\u103a\u1038 \u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a \u1016\u103c\u1005\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/li>\n<\/ul>\n<p> \u1012\u102e\u1010\u1031\u102c\u1037 \u1005\u102f\u1005\u102f\u1015\u1031\u102b\u1004\u103a\u1038\u1014\u1019\u1030\u1014\u102c\u1010\u1005\u103a\u1001\u102f\u101b\u101b\u1004\u103a<\/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> \u101c\u1031\u1037\u101c\u102c\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\u1021\u101b\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1019\u103b\u1009\u103a\u1038\u1000\u103c\u1031\u102c\u1004\u103a\u1038\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1015\u102f\u1036\u1005\u1036\u1000\u102d\u102f \u1019\u1000\u103a\u1011\u101b\u1005\u103a\u1015\u102f\u1036\u1005\u1036\u1016\u103c\u1004\u1037\u103a \u1015\u102f\u1036\u1016\u1031\u102c\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a-<\/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> \u1021\u1011\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b \u1019\u1000\u103a\u1011\u101b\u1005\u103a\u1021\u101e\u102f\u1036\u1038\u1021\u1014\u103e\u102f\u1014\u103a\u1038\u1000\u102d\u102f \u1019\u1000\u103a\u1011\u101b\u1005\u103a\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u101e\u102d\u102f\u1037 \u1005\u102c\u101c\u102f\u1036\u1038\u1010\u1005\u103a\u101c\u102f\u1036\u1038\u1005\u102e \u101e\u1010\u103a\u1019\u103e\u1010\u103a\u1001\u103c\u1004\u103a\u1038\u1016\u103c\u1004\u1037\u103a \u1015\u103c\u1014\u103a\u101c\u100a\u103a\u101b\u1031\u1038\u101e\u102c\u1038\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a-<\/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> \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a \u1021\u1014\u100a\u103a\u1038\u1006\u102f\u1036\u1038 \u1005\u1010\u102f\u101b\u1014\u103a\u1038\u1005\u1036\u101e\u1010\u103a\u1019\u103e\u1010\u103a\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u1000\u103b\u1004\u1037\u103a\u101e\u102f\u1036\u1038\u1001\u103c\u1004\u103a\u1038\u1016\u103c\u1004\u1037\u103a\u104a <strong>\u1019\u103b\u102c\u1038\u1005\u103d\u102c\u101e\u1031\u102c \u1019\u103b\u1009\u103a\u1038\u1000\u103c\u1031\u102c\u1004\u103a\u1038\u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1015\u102f\u1036\u1005\u1036\u104f \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u101b\u1014\u103a \u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c<\/strong> \u101e\u102d\u102f\u1037 \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037 \u101b\u1031\u102c\u1000\u103a\u101b\u103e\u102d\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a-<\/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> \u101e\u102d\u102f\u1037\u101e\u1031\u102c\u103a\u104a \u1024\u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u104f\u1021\u101e\u102f\u1036\u1038\u1001\u103b\u1019\u103e\u102f\u101e\u100a\u103a \u1021\u101c\u103d\u1014\u103a\u1015\u1004\u103a\u1015\u1014\u103a\u1038\u1015\u103c\u102e\u1038 \u1021\u1001\u103b\u102d\u1014\u103a\u1000\u102f\u1014\u103a\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u101c\u1000\u103a\u1010\u103d\u1031\u1037\u1010\u103d\u1004\u103a Multiple regression model \u1000\u102d\u102f\u1015\u102d\u102f\u1019\u102d\u102f\u101c\u103b\u1004\u103a\u1019\u103c\u1014\u103a\u1005\u103d\u102c\u1016\u1014\u103a\u1010\u102e\u1038\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u1037\u103a \u1000\u103d\u1014\u103a\u1015\u103b\u1030\u1010\u102c\u1006\u1031\u102c\u1037\u1016\u103a\u101d\u1032 (\u1025\u1015\u1019\u102c Minitab \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a Excel) \u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101b\u1014\u103a \u1021\u1000\u103c\u1036\u1015\u103c\u102f\u1011\u102c\u1038\u101e\u100a\u103a\u104b <\/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>\u1000\u103c\u100a\u1037\u103a\u1015\u102b-<\/strong> <a href=\"https:\/\/statorials.org\/my\/multiple-linear-regression-\u1041\/\">\u1019\u103b\u102c\u1038\u1005\u103d\u102c\u101e\u1031\u102c\u1019\u103b\u1009\u103a\u1038\u1000\u103c\u1031\u102c\u1004\u103a\u1038\u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1015\u102f\u1036\u1005\u1036\u1000\u102d\u102f \u1018\u102c\u101e\u102c\u1015\u103c\u1014\u103a\u1001\u103c\u1004\u103a\u1038\u104b<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"supuestos-de-la-regresion-lineal\"><\/span> Linear Regression \u101a\u1030\u1006\u1001\u103b\u1000\u103a<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> linear regression model \u1010\u103d\u1004\u103a\u104a model \u1019\u103e\u1014\u103a\u1000\u1014\u103a\u1005\u1031\u101b\u1014\u103a\u1021\u1010\u103d\u1000\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1001\u103c\u1031\u1021\u1014\u1031\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a \u1000\u102d\u102f\u1000\u103a\u100a\u102e\u101b\u1019\u100a\u103a-<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>\u101c\u103d\u1010\u103a\u101c\u1015\u103a\u101b\u1031\u1038<\/strong> &#8211; \u1021\u1000\u103c\u103d\u1004\u103a\u1038\u1021\u1000\u103b\u1014\u103a\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1010\u1005\u103a\u1001\u102f\u1014\u103e\u1004\u1037\u103a\u1010\u1005\u103a\u1001\u102f \u1021\u1019\u103e\u102e\u1021\u1001\u102d\u102f\u1000\u1004\u103a\u1038\u101b\u1019\u100a\u103a\u104b \u1005\u1036\u1015\u103c\u101c\u103d\u1010\u103a\u101c\u1015\u103a\u1019\u103e\u102f\u1000\u102d\u102f \u101e\u1031\u1001\u103b\u102c\u1005\u1031\u101b\u1014\u103a \u1018\u102f\u1036\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1019\u103e\u102c \u1014\u1019\u1030\u1014\u102c\u1000\u1031\u102c\u1000\u103a\u101a\u1030\u1001\u103c\u1004\u103a\u1038\u101c\u102f\u1015\u103a\u1004\u1014\u103a\u1038\u1005\u1009\u103a\u1010\u103d\u1004\u103a \u1000\u103b\u1015\u1014\u103a\u1038\u1011\u100a\u1037\u103a\u101e\u103d\u1004\u103a\u1038\u1001\u103c\u1004\u103a\u1038\u1016\u103c\u1005\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Homoscedasticity<\/strong> : \u1021\u1000\u103c\u103d\u1004\u103a\u1038\u1021\u1000\u103b\u1014\u103a\u1019\u103b\u102c\u1038\u104f \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u1010\u103d\u1004\u103a \u1010\u1030\u100a\u102e\u1019\u103e\u102f\u101b\u103e\u102d\u101b\u1019\u100a\u103a\u104a \u1006\u102d\u102f\u101c\u102d\u102f\u101e\u100a\u103a\u1019\u103e\u102c \u1021\u1000\u103c\u103d\u1004\u103a\u1038\u1021\u1000\u103b\u1014\u103a\u1019\u103b\u102c\u1038\u104f \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1019\u103e\u102c \u1005\u1009\u103a\u1006\u1000\u103a\u1019\u1015\u103c\u1010\u103a\u101b\u103e\u102d\u1014\u1031\u101b\u1019\u100a\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Multicollinearity \u1019\u101f\u102f\u1010\u103a\u101e\u1031\u102c-<\/strong> \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1010\u103d\u1004\u103a\u1015\u102b\u101b\u103e\u102d\u101e\u1031\u102c \u101b\u103e\u1004\u103a\u1038\u101c\u1004\u103a\u1038\u1001\u103b\u1000\u103a \u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1010\u1005\u103a\u1001\u102f\u1014\u103e\u1004\u1037\u103a\u1010\u1005\u103a\u1001\u102f \u1001\u103b\u102d\u1010\u103a\u1006\u1000\u103a\u104d\u1019\u101b\u1015\u102b \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1021\u1014\u100a\u103a\u1038\u1006\u102f\u1036\u1038 \u104e\u1004\u103a\u1038\u1010\u102d\u102f\u1037\u104f\u1006\u1000\u103a\u1006\u1036\u101b\u1031\u1038\u101e\u100a\u103a \u1021\u101c\u103d\u1014\u103a\u1021\u102c\u1038\u1014\u100a\u103a\u1038\u1014\u1031\u101b\u1015\u102b\u1019\u100a\u103a\u104b<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Normality<\/strong> : \u1000\u103b\u1014\u103a\u101b\u103e\u102d\u101e\u1031\u102c\u1015\u1005\u1039\u1005\u100a\u103a\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1015\u102f\u1036\u1019\u103e\u1014\u103a\u1016\u103c\u1014\u1037\u103a\u101d\u1031\u101b\u1015\u102b\u1019\u100a\u103a \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1010\u1005\u103a\u1014\u100a\u103a\u1038\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a\u1006\u102d\u102f\u101c\u102d\u102f\u101b\u1004\u103a\u1038 0 \u1016\u103c\u1004\u1037\u103a \u1015\u102f\u1036\u1019\u103e\u1014\u103a\u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\u1021\u1010\u102d\u102f\u1004\u103a\u1038 \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1019\u100a\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Linearity<\/strong> : \u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f variable \u1014\u103e\u1004\u1037\u103a explanatory variables \u1021\u1000\u103c\u102c\u1038 \u1006\u1000\u103a\u1014\u103d\u101a\u103a\u1019\u103e\u102f\u101e\u100a\u103a linear \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u101f\u102f \u101a\u1030\u1006\u1015\u102b\u101e\u100a\u103a\u104b<\/span> <\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfpara-que-sirve-la-regresion-lineal\"><\/span> linear regression \u1000\u102d\u102f \u1018\u102c\u1021\u1010\u103d\u1000\u103a\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u101c\u1032\u104b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Linear regression \u1010\u103d\u1004\u103a \u1021\u1001\u103c\u1031\u1001\u1036\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1019\u103e\u102f \u1014\u103e\u1005\u103a\u1001\u102f\u101b\u103e\u102d\u101e\u100a\u103a- Linear regression \u1000\u102d\u102f explanatory variables \u1014\u103e\u1004\u1037\u103a response variable \u1021\u1000\u103c\u102c\u1038 \u1006\u1000\u103a\u1014\u103d\u101a\u103a\u1019\u103e\u102f\u1000\u102d\u102f \u101b\u103e\u1004\u103a\u1038\u1015\u103c\u101b\u1014\u103a \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1015\u103c\u102e\u1038 \u1021\u101c\u102c\u1038\u1010\u1030\u104a linear regression \u1000\u102d\u102f \u101c\u1031\u1037\u101c\u102c\u1019\u103e\u102f\u1021\u101e\u1005\u103a\u1021\u1010\u103d\u1000\u103a dependent variable \u104f\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1000\u102d\u102f \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u101b\u1014\u103a \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1015\u102b\u101e\u100a\u103a\u104b<\/p>\n<p> linear regression model \u104f \u100a\u102e\u1019\u103b\u103e\u1001\u103c\u1004\u103a\u1038\u1000\u102d\u102f \u101b\u101a\u1030\u1001\u103c\u1004\u103a\u1038\u1016\u103c\u1004\u1037\u103a\u104a model \u101b\u103e\u102d variables \u1019\u103b\u102c\u1038\u1000\u103c\u102c\u1038\u1010\u103d\u1004\u103a \u1006\u1000\u103a\u1005\u1015\u103a\u1019\u103e\u102f \u1021\u1019\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1000\u102d\u102f \u101e\u102d\u101b\u103e\u102d\u1014\u102d\u102f\u1004\u103a\u1015\u102b\u101e\u100a\u103a\u104b \u1021\u1019\u103e\u102e\u1021\u1001\u102d\u102f\u1000\u1004\u103a\u1038\u101e\u1031\u102c \u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1010\u1005\u103a\u1001\u102f\u104f \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u101e\u100a\u103a \u1021\u1015\u1031\u102b\u1004\u103a\u1038\u101c\u1000\u1039\u1001\u100f\u102c\u1016\u103c\u1005\u103a\u1015\u102b\u1000\u104a \u1019\u103e\u102e\u1001\u102d\u102f\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u101e\u100a\u103a \u1010\u102d\u102f\u1038\u101c\u102c\u101e\u1031\u102c\u1021\u1001\u102b\u1010\u103d\u1004\u103a \u1010\u102d\u102f\u1038\u101c\u102c\u1019\u100a\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1021\u1019\u103e\u102e\u1021\u1001\u102d\u102f\u1000\u1004\u103a\u1038\u101e\u1031\u102c\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1010\u1005\u103a\u1001\u102f\u104f \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u101e\u100a\u103a \u1021\u1014\u102f\u1010\u103a\u1016\u103c\u1005\u103a\u1014\u1031\u1015\u102b\u1000\u104a \u1019\u103e\u102e\u1001\u102d\u102f\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u101e\u100a\u103a \u1010\u102d\u102f\u1038\u101c\u102c\u101e\u1031\u102c\u1021\u1001\u102b \u101c\u103b\u1031\u102c\u1037\u1014\u100a\u103a\u1038\u101e\u103d\u102c\u1038\u1019\u100a\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/p>\n<p> \u1010\u1005\u103a\u1016\u1000\u103a\u1010\u103d\u1004\u103a\u104a linear regression \u1010\u103d\u1004\u103a \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1011\u102c\u1038\u101e\u1031\u102c equation \u101e\u100a\u103a value \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1015\u103c\u102f\u101c\u102f\u1015\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a \u1005\u1036\u1015\u103c\u100a\u102e\u1019\u103b\u103e\u1001\u103c\u1004\u103a\u1038\u101e\u102d\u102f\u1037 explanatory variable \u1019\u103b\u102c\u1038\u104f \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1019\u102d\u1010\u103a\u1006\u1000\u103a\u1015\u1031\u1038\u1001\u103c\u1004\u103a\u1038\u1016\u103c\u1004\u1037\u103a data \u1021\u101e\u1005\u103a\u1010\u1005\u103a\u1001\u102f\u1021\u1010\u103d\u1000\u103a dependent variable \u104f\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1014\u102d\u102f\u1004\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u1024\u1006\u1031\u102c\u1004\u103a\u1038\u1015\u102b\u1038\u1010\u103d\u1004\u103a linear regression \u101e\u100a\u103a \u1021\u1018\u101a\u103a\u1021\u101b\u102c\u1014\u103e\u1004\u1037\u103a \u104e\u1004\u103a\u1038\u1000\u102d\u102f \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1019\u103b\u102c\u1038\u1021\u1010\u103d\u1000\u103a \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u101b\u103e\u1004\u103a\u1038\u1015\u103c\u1011\u102c\u1038\u101e\u100a\u103a\u104b \u1011\u102d\u102f\u1037\u1021\u1015\u103c\u1004\u103a\u104a linear regression \u1021\u1019\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038 \u1014\u103e\u1005\u103a\u1001\u102f\u1000\u102d\u102f \u1019\u100a\u103a\u1000\u1032\u1037\u101e\u102d\u102f\u1037 \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1011\u102c\u1038\u101e\u100a\u103a- \u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u101e\u1031\u102c linear regression \u1014\u103e\u1004\u1037\u103a multiple linear regression \u1000\u102d\u102f \u101e\u1004\u103a\u1010\u103d\u1031\u1037\u1019\u103c\u1004\u103a\u1014\u102d\u102f\u1004\u103a\u1019\u100a\u103a\u1016\u103c\u1005\u103a\u1015\u102b\u101e\u100a\u103a\u104b linear regression \u1006\u102d\u102f\u1010\u102c \u1018\u102c\u101c\u1032\u104b Linear regression \u101e\u100a\u103a \u1010\u1005\u103a\u1001\u102f \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1010\u1005\u103a\u1001\u102f\u1011\u1000\u103a\u1015\u102d\u102f\u101e\u1031\u102c \u1021\u1019\u103e\u102e\u1021\u1001\u102d\u102f\u1000\u1004\u103a\u1038\u101e\u1031\u102c variable \u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1019\u103e\u102e\u1001\u102d\u102f\u101e\u1031\u102c variable \u1014\u103e\u1004\u1037\u103a \u1006\u1000\u103a\u1005\u1015\u103a\u1014\u1031\u101e\u1031\u102c \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1005\u1036\u1014\u1019\u1030\u1014\u102c\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u101b\u102d\u102f\u1038\u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u101b\u103e\u1004\u103a\u1038\u1015\u103c\u1031\u102c\u101b\u101c\u103b\u103e\u1004\u103a linear regression \u101e\u100a\u103a \u1010\u1005\u103a\u1001\u102f \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1010\u1005\u103a\u1001\u102f\u1011\u1000\u103a\u1015\u102d\u102f\u101e\u1031\u102c explanatory variables \u1014\u103e\u1004\u1037\u103a response variable [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[6],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - 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