{"id":312,"date":"2023-08-02T16:21:11","date_gmt":"2023-08-02T16:21:11","guid":{"rendered":"https:\/\/statorials.org\/my\/multiple-linear-regression-%e1%81%81\/"},"modified":"2023-08-02T16:21:11","modified_gmt":"2023-08-02T16:21:11","slug":"multiple-linear-regression-%e1%81%81","status":"publish","type":"post","link":"https:\/\/statorials.org\/my\/multiple-linear-regression-%e1%81%81\/","title":{"rendered":"\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"},"content":{"rendered":"<p>\u1024\u1006\u1031\u102c\u1004\u103a\u1038\u1015\u102b\u1038\u101e\u100a\u103a \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1005\u102c\u101b\u1004\u103a\u1038\u1007\u101a\u102c\u1038\u1019\u103b\u102c\u1038\u1010\u103d\u1004\u103a \u1019\u103b\u1009\u103a\u1038\u1000\u103c\u1031\u102c\u1004\u103a\u1038\u1019\u103b\u102d\u102f\u1038\u1005\u102f\u1036\u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1021\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 Multiple linear regression model \u1000\u102d\u102f \u1016\u1014\u103a\u1010\u102e\u1038\u1014\u100a\u103a\u1038\u1014\u103e\u1004\u1037\u103a \u104e\u1004\u103a\u1038\u1000\u102d\u102f \u1021\u1013\u102d\u1015\u1039\u1015\u102c\u101a\u103a\u1016\u103d\u1004\u1037\u103a\u1006\u102d\u102f\u1015\u102f\u1036\u1010\u102d\u102f\u1037\u1000\u102d\u102f \u101e\u1004\u103a\u101c\u1031\u1037\u101c\u102c\u1015\u102b\u1019\u100a\u103a\u104b <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-regresion-lineal-multiple\"><\/span> Multiple linear regression \u1006\u102d\u102f\u1010\u102c \u1018\u102c\u101c\u1032\u104b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Multiple linear regression<\/strong> \u101e\u100a\u103a \u1021\u1019\u103e\u102e\u1021\u1001\u102d\u102f\u1000\u1004\u103a\u1038\u101e\u1031\u102c variable \u1014\u103e\u1005\u103a\u1001\u102f \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1011\u102d\u102f\u1037\u1011\u1000\u103a\u1015\u102d\u102f\u101e\u1031\u102c \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1015\u102f\u1036\u1005\u1036\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\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\u1019\u100a\u1037\u103a statistical model \u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/p>\n<p> \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a multiple linear regression model \u1000\u102d\u102f dependent variable \u1010\u1005\u103a\u1001\u102f\u1014\u103e\u1004\u1037\u103a \u1014\u103e\u1005\u103a\u1001\u102f \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1011\u102d\u102f\u1037\u1011\u1000\u103a\u1015\u102d\u102f\u101e\u1031\u102c \u1021\u1019\u103e\u102e\u1021\u1001\u102d\u102f\u1000\u1004\u103a\u1038\u101e\u1031\u102c \u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a \u1006\u1000\u103a\u1005\u1015\u103a\u1014\u1031\u101e\u100a\u1037\u103a \u100a\u102e\u1019\u103b\u103e\u1001\u103c\u1004\u103a\u1038\u1000\u102d\u102f \u101b\u103e\u102c\u1016\u103d\u1031\u101b\u1014\u103a \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1015\u102b\u101e\u100a\u103a\u104b \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u101e\u102e\u1038\u1001\u103c\u102c\u1038\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u104f\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1000\u102d\u102f \u1021\u1005\u102c\u1038\u1011\u102d\u102f\u1038\u1001\u103c\u1004\u103a\u1038\u1016\u103c\u1004\u1037\u103a\u104a \u1019\u103e\u102e\u1001\u102d\u102f\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u104f\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1000\u102d\u102f \u1021\u1014\u102e\u1038\u1005\u1015\u103a\u1006\u102f\u1036\u1038\u101b\u101b\u103e\u102d\u1019\u100a\u103a\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=3+6x <sub>1<\/sub> -4x <sub>2<\/sub> +7x <sub>3<\/sub> \u101e\u100a\u103a \u1019\u103b\u102c\u1038\u1005\u103d\u102c\u101e\u1031\u102c linear regression model \u1016\u103c\u1005\u103a\u1015\u103c\u102e\u1038\u104a \u104e\u1004\u103a\u1038\u101e\u100a\u103a \u101e\u102e\u1038\u1001\u103c\u102c\u1038\u101c\u103d\u1010\u103a\u101c\u1015\u103a\u101e\u1031\u102c variable \u101e\u102f\u1036\u1038\u1001\u102f (x <sub>1<\/sub> , x <sub>2<\/sub> , x <sub>3<\/sub> ) \u1000\u102d\u102f \u101e\u1004\u103a\u1039\u1001\u103b\u102c\u1014\u100a\u103a\u1038\u1021\u101b \u1019\u103e\u102e\u1001\u102d\u102f\u101e\u1031\u102c variable (y) linear value path \u1010\u1005\u103a\u1001\u102f\u1014\u103e\u1004\u1037\u103a \u1006\u1000\u103a\u1005\u1015\u103a\u1014\u1031\u1015\u102b\u101e\u100a\u103a\u104b . <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-regresion-lineal-multiple\"><\/span> Multiple Linear Regression Formula<span class=\"ez-toc-section-end\"><\/span><\/h2>\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> \u104e\u1004\u103a\u1038\u101e\u100a\u103a \u1021\u1019\u103e\u102c\u1038\u1021\u101a\u103d\u1004\u103a\u1038 \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1000\u103b\u1014\u103a\u101b\u103e\u102d\u1014\u1031\u101e\u1031\u102c\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\u1010\u103d\u1031\u1037\u101b\u103e\u102d\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\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\u1006\u102d\u102f\u1004\u103a\u101b\u102c \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 \u1021\u1006\u102d\u102f\u1015\u103c\u102f\u1014\u102d\u102f\u1004\u103a\u1015\u102b\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-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 array \u1005\u1000\u102c\u1038\u101b\u1015\u103a\u1000\u102d\u102f array \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 linear regression model \u1010\u1005\u103a\u1001\u102f\u104f coefficients \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 \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 \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1015\u102f\u1036\u1005\u1036\u1000\u102d\u102f \u1015\u102d\u102f\u1019\u102d\u102f\u1019\u103c\u1014\u103a\u1006\u1014\u103a\u1005\u103d\u102c\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1014\u102d\u102f\u1004\u103a\u1005\u1031\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\u1032\u1037\u101e\u102d\u102f\u1037) \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<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"supuestos-de-la-regresion-lineal-multiple\"><\/span> Multiple Linear Regression \u101a\u1030\u1006\u1001\u103b\u1000\u103a<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Multiple linear regression model \u1010\u1005\u103a\u1001\u102f\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> : \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\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1014\u103e\u1004\u1037\u103a \u101b\u103e\u1004\u103a\u1038\u1015\u103c\u1001\u103b\u1000\u103a\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1019\u103b\u102c\u1038\u1000\u103c\u102c\u1038 \u1006\u1000\u103a\u1006\u1036\u101b\u1031\u1038\u101e\u100a\u103a \u1019\u103b\u1009\u103a\u1038\u1016\u103c\u1031\u102c\u1004\u1037\u103a\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=\"interpretacion-de-un-modelo-de-regresion-lineal-multiple\"><\/span> Multiple Linear Regression Model \u1000\u102d\u102f \u1018\u102c\u101e\u102c\u1015\u103c\u1014\u103a\u1001\u103c\u1004\u103a\u1038\u104b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Multiple linear regression model \u1000\u102d\u102f\u1021\u1014\u1000\u103a\u1015\u103c\u1014\u103a\u1006\u102d\u102f\u101b\u1014\u103a\u104a<\/strong> regression model \u1019\u103e\u101b\u103e\u1004\u103a\u1038\u1015\u103c\u1011\u102c\u1038\u101e\u1031\u102c \u101b\u102c\u1001\u102d\u102f\u1004\u103a\u1014\u103e\u102f\u1014\u103a\u1038\u1000\u102d\u102f\u1016\u1031\u102c\u103a\u1015\u103c\u101e\u100a\u1037\u103a coefficient of determination (R squared) \u1000\u102d\u102f\u1000\u103c\u100a\u1037\u103a\u101b\u1015\u102b\u1019\u100a\u103a\u104b \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u1001\u103c\u1004\u103a\u1038\u104f\u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038 \u1019\u103c\u1004\u1037\u103a\u1019\u102c\u1038\u101c\u1031\u104a \u101c\u1031\u1037\u101c\u102c\u1011\u102c\u1038\u101e\u1031\u102c \u1021\u1001\u103b\u1000\u103a\u1021\u101c\u1000\u103a\u1014\u1019\u1030\u1014\u102c\u101e\u102d\u102f\u1037 \u1005\u1036\u1014\u1019\u1030\u1014\u102c\u1000\u102d\u102f \u1001\u103b\u102d\u1014\u103a\u100a\u103e\u102d\u1014\u102d\u102f\u1004\u103a\u101c\u1031\u101c\u1031 \u1016\u103c\u1005\u103a\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\/\u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u1001\u103c\u1004\u103a\u1038\u104f-\u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038-r-\u1014\u103e\u1005\u103a\u1011\u1015\u103a\u1000\u102d\u1014\u103a\u1038\/\">\u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u1001\u103c\u1004\u103a\u1038\u104f \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038 (R \u1014\u103e\u1005\u103a\u1011\u1015\u103a\u1000\u102d\u1014\u103a\u1038)<\/a><\/div>\n<p> \u101e\u102d\u102f\u1037\u101e\u1031\u102c\u103a\u104a \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1005\u1036\u1014\u1019\u1030\u1014\u102c\u1010\u1005\u103a\u1001\u102f\u104f \u1021\u1036\u101d\u1004\u103a\u1001\u103d\u1004\u103a\u1000\u103b\u1000\u1031\u102c\u1004\u103a\u1038\u1019\u103e\u102f\u1019\u103e\u102c \u1021\u1011\u1030\u1038\u101e\u1016\u103c\u1004\u1037\u103a \u1019\u103b\u1009\u103a\u1038\u1016\u103c\u1031\u102c\u1004\u1037\u103a\u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1015\u102f\u1036\u1005\u1036\u1019\u103b\u102c\u1038 \u1021\u1019\u103b\u102c\u1038\u1021\u1015\u103c\u102c\u1038\u1010\u103d\u1004\u103a \u1021\u1011\u1004\u103a\u1019\u103e\u102c\u1038\u1005\u1031\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b \u1021\u1018\u101a\u103a\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u1006\u102d\u102f\u101e\u1031\u102c\u103a \u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1021\u102c\u1038 \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u101e\u102d\u102f\u1037 \u1015\u1031\u102b\u1004\u103a\u1038\u1011\u100a\u1037\u103a\u101e\u1031\u102c\u1021\u1001\u102b\u104a \u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u101e\u100a\u103a \u101e\u102d\u101e\u102c\u1011\u1004\u103a\u101b\u103e\u102c\u1038\u1001\u103c\u1004\u103a\u1038\u1019\u101b\u103e\u102d\u101e\u1031\u102c\u103a\u101c\u100a\u103a\u1038\u104a \u101e\u102d\u102f\u1037\u101b\u102c\u1010\u103d\u1004\u103a\u104a \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u101e\u100a\u103a \u101b\u103e\u102f\u1015\u103a\u1011\u103d\u1031\u1038\u1014\u100a\u103a\u1038\u1015\u103c\u102e\u1038 \u1021\u1013\u102d\u1015\u1039\u1015\u102c\u101a\u103a\u1016\u103d\u1004\u1037\u103a\u1006\u102d\u102f\u101b\u1014\u103a \u1015\u102d\u102f\u1019\u102d\u102f\u101c\u103d\u101a\u103a\u1000\u1030\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a\u1000\u102d\u102f \u101c\u103b\u103e\u1031\u102c\u1037\u1001\u103b\u101b\u1014\u103a \u1000\u103c\u102d\u102f\u1038\u1005\u102c\u1038\u1001\u103c\u1004\u103a\u1038\u1016\u103c\u1004\u1037\u103a \u1021\u1006\u102f\u1036\u1038\u1021\u1016\u103c\u1010\u103a\u104f coefficient \u1000\u102d\u102f \u1010\u102d\u102f\u1038\u1019\u103c\u103e\u1004\u1037\u103a\u101b\u1014\u103a \u101c\u102d\u102f\u1021\u1015\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/p>\n<p> \u1024\u1015\u103c\u103f\u1014\u102c\u1000\u102d\u102f\u1016\u103c\u1031\u101b\u103e\u1004\u103a\u1038\u101b\u1014\u103a\u104a \u1001\u103b\u102d\u1014\u103a\u100a\u103e\u102d\u1011\u102c\u1038\u101e\u1031\u102c\u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u1001\u103c\u1004\u103a\u1038\u1006\u102d\u102f\u1004\u103a\u101b\u102c\u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038 (adjusted R \u1014\u103e\u1005\u103a\u1011\u1015\u103a\u1000\u102d\u1014\u103a\u1038) \u101e\u100a\u103a \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1015\u102f\u1036\u1005\u1036\u104f \u1021\u1036\u101d\u1004\u103a\u1001\u103d\u1004\u103a\u1000\u103b\u1021\u101b\u100a\u103a\u1021\u101e\u103d\u1031\u1038\u1000\u102d\u102f \u1010\u102d\u102f\u1004\u103a\u1038\u1010\u102c\u101e\u100a\u1037\u103a \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u1037\u103a \u1001\u103b\u102d\u1014\u103a\u100a\u103e\u102d\u1011\u102c\u1038\u101e\u1031\u102c\u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u1001\u103c\u1004\u103a\u1038\u1006\u102d\u102f\u1004\u103a\u101b\u102c\u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u1014\u103a \u101c\u102d\u102f\u1021\u1015\u103a\u1015\u103c\u102e\u1038 \u1015\u103c\u102f\u1015\u103c\u1004\u103a\u1019\u103d\u1019\u103a\u1038\u1019\u1036\u1011\u102c\u1038\u101e\u1031\u102c\u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a\u1019\u1010\u1030\u1018\u1032\u104a \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u1001\u103b\u1000\u103a\u104b \u104e\u1004\u103a\u1038\u101e\u100a\u103a \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u101b\u103e\u102d \u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a\u1000\u102d\u102f \u1011\u100a\u1037\u103a\u101e\u103d\u1004\u103a\u1038\u1005\u1009\u103a\u1038\u1005\u102c\u1038\u1019\u100a\u103a\u1019\u101f\u102f\u1010\u103a\u1015\u102b\u104b<\/p>\n<p> \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a \u1001\u103b\u102d\u1014\u103a\u100a\u103e\u102d\u1011\u102c\u1038\u101e\u1031\u102c \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u101e\u100a\u103a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1021\u102c\u1038 \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1014\u103e\u1005\u103a\u1001\u102f\u104f \u1021\u1036\u101d\u1004\u103a\u1001\u103d\u1004\u103a\u1000\u103b\u1000\u1031\u102c\u1004\u103a\u1038\u1019\u103e\u102f\u1000\u102d\u102f \u1019\u1010\u1030\u100a\u102e\u101e\u1031\u102c\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a\u1019\u103b\u102c\u1038\u1016\u103c\u1004\u1037\u103a \u1014\u103e\u102d\u102f\u1004\u103a\u1038\u101a\u103e\u1009\u103a\u1014\u102d\u102f\u1004\u103a\u1005\u1031\u1015\u102b\u101e\u100a\u103a\u104b \u1019\u1030\u1021\u101b\u104a \u101e\u1010\u103a\u1019\u103e\u1010\u103a\u1014\u103e\u102f\u1014\u103a\u1038\u1015\u102d\u102f\u1019\u103c\u1004\u1037\u103a\u101e\u1031\u102c \u1001\u103b\u102d\u1014\u103a\u100a\u103e\u102d\u1019\u103e\u102f\u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1019\u103b\u102c\u1038\u101b\u103e\u102d\u101e\u100a\u1037\u103a \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1000\u102d\u102f \u101b\u103d\u1031\u1038\u1001\u103b\u101a\u103a\u101e\u1004\u1037\u103a\u101e\u100a\u103a\u104a \u101e\u102d\u102f\u1037\u101e\u1031\u102c\u103a \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1014\u103e\u1005\u103a\u1001\u102f\u1010\u103d\u1004\u103a \u1021\u101c\u103d\u1014\u103a\u1010\u1030\u100a\u102e\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u101b\u103e\u102d\u1015\u102b\u1000\u104a \u1021\u1013\u102d\u1015\u1039\u1015\u102c\u101a\u103a\u1016\u103d\u1004\u1037\u103a\u1006\u102d\u102f\u101b\u101c\u103d\u101a\u103a\u1000\u1030\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1021\u1014\u100a\u103a\u1038\u1004\u101a\u103a\u1015\u102b\u101e\u1031\u102c \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1000\u102d\u102f \u101b\u103d\u1031\u1038\u1001\u103b\u101a\u103a\u1001\u103c\u1004\u103a\u1038\u101e\u100a\u103a \u1015\u102d\u102f\u1000\u1031\u102c\u1004\u103a\u1038\u1015\u102b\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\/\u1001\u103b\u102d\u1014\u103a\u100a\u103e\u102d\u101e\u1031\u102c\u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038-r-\u1001\u103b\u102d\u1014\u103a\u100a\u103e\u102d\u1005\u1010\u102f\u101b\u1014\u103a\u1038\/\">\u1001\u103b\u102d\u1014\u103a\u100a\u103e\u102d\u1011\u102c\u1038\u101e\u1031\u102c \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u1001\u103c\u1004\u103a\u1038\u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038 (\u1001\u103b\u102d\u1014\u103a\u100a\u103e\u102d\u1011\u102c\u1038\u101e\u1031\u102c R-squared)<\/a><\/div>\n<p> \u1006\u1014\u1037\u103a\u1000\u103b\u1004\u103a\u1018\u1000\u103a\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a\u104a regression coefficients \u101e\u100a\u103a explanatory variable \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 \u1016\u1031\u102c\u103a\u1015\u103c\u101e\u100a\u103a\u104b regression coefficient \u101e\u100a\u103a positive \u1016\u103c\u1005\u103a\u1015\u102b\u1000\u104a explanatory variable \u1010\u102d\u102f\u1038\u101c\u102c\u101e\u100a\u103a\u1014\u103e\u1004\u1037\u103a\u1021\u1019\u103b\u103e \u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f variable \u1010\u102d\u102f\u1038\u101c\u102c\u1015\u102b\u1019\u100a\u103a\u104b regression coefficient \u101e\u100a\u103a negative \u1016\u103c\u1005\u103a\u1015\u102b\u1000\u104a explanatory variable \u1010\u102d\u102f\u1038\u101c\u102c\u101e\u1031\u102c\u1021\u1001\u102b\u1010\u103d\u1004\u103a \u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f variable \u101e\u100a\u103a \u101c\u103b\u1031\u102c\u1037\u1014\u100a\u103a\u1038\u101e\u103d\u102c\u1038\u1019\u100a\u103a\u1016\u103c\u1005\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/p>\n<p> \u101a\u102f\u1010\u1039\u1010\u102d\u1017\u1031\u1012\u1021\u101b\u104a \u101a\u1001\u1004\u103a\u1021\u1001\u103c\u1031\u1021\u1014\u1031\u1014\u103e\u1004\u1037\u103a\u1000\u102d\u102f\u1000\u103a\u100a\u102e\u101b\u1014\u103a\u104a \u1021\u1001\u103c\u102c\u1038\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1000\u102d\u1014\u103a\u1038\u101e\u1031\u101b\u103e\u102d\u1014\u1031\u101b\u1015\u102b\u1019\u100a\u103a\u104b \u1021\u1018\u101a\u103a\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u1006\u102d\u102f\u101e\u1031\u102c\u103a \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u104f \u1019\u1010\u1030\u100a\u102e\u101e\u1031\u102c \u101b\u103e\u1004\u103a\u1038\u1015\u103c\u1001\u103b\u1000\u103a \u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1019\u103b\u102c\u1038\u1000\u103c\u102c\u1038\u1010\u103d\u1004\u103a \u1015\u1031\u102b\u1004\u103a\u1038\u1005\u1015\u103a\u1016\u103d\u1032\u1037\u1005\u100a\u103a\u1038\u1019\u103e\u102f \u1000\u103d\u1032\u1015\u103c\u102c\u1038\u1019\u103e\u102f\u1019\u101b\u103e\u102d\u101b\u1014\u103a \u1021\u101b\u1031\u1038\u1000\u103c\u102e\u1038\u1015\u102b\u101e\u100a\u103a\u104b \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u104f \u101d\u1018\u103a\u1006\u102d\u102f\u1000\u103a\u101b\u103e\u102d \u101e\u1000\u103a\u1006\u102d\u102f\u1004\u103a\u101b\u102c \u1006\u1031\u102c\u1004\u103a\u1038\u1015\u102b\u1038\u1000\u102d\u102f \u101b\u103e\u102c\u1016\u103d\u1031\u1001\u103c\u1004\u103a\u1038\u1016\u103c\u1004\u1037\u103a \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1010\u1005\u103a\u1001\u102f\u104f multicollinearity \u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037 \u101c\u1031\u1037\u101c\u102c\u101e\u100a\u103a\u1000\u102d\u102f \u101e\u1004\u103a\u1000\u103c\u100a\u1037\u103a\u101b\u103e\u102f\u1014\u102d\u102f\u1004\u103a\u1015\u102b\u101e\u100a\u103a\u104b <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"regresion-lineal-multiple-y-simple\"><\/span> \u1019\u103b\u102c\u1038\u1015\u103c\u102c\u1038\u1015\u103c\u102e\u1038 \u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u101e\u1031\u102c \u1019\u103b\u1009\u103a\u1038\u1016\u103c\u1031\u102c\u1004\u1037\u103a\u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u1014\u1031\u102c\u1000\u103a\u1006\u102f\u1036\u1038\u1010\u103d\u1004\u103a\u104a \u104e\u1004\u103a\u1038\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1005\u102c\u101b\u1004\u103a\u1038\u1007\u101a\u102c\u1038\u1019\u103b\u102c\u1038\u1010\u103d\u1004\u103a \u1021\u101e\u102f\u1036\u1038\u1019\u103b\u102c\u1038\u101e\u1031\u102c regression model \u1014\u103e\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u101e\u1031\u102c linear regression model \u1014\u103e\u1004\u1037\u103a multiple linear regression model \u1021\u1000\u103c\u102c\u1038 \u1001\u103c\u102c\u1038\u1014\u102c\u1038\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037 \u1019\u103c\u1004\u103a\u1010\u103d\u1031\u1037\u101b\u1019\u100a\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/p>\n<p> <strong>Simple linear regression<\/strong> \u101e\u100a\u103a \u1021\u1019\u103e\u102e\u1021\u1001\u102d\u102f\u1000\u1004\u103a\u1038\u101e\u1031\u102c variable \u1000\u102d\u102f\u1006\u1000\u103a\u1005\u1015\u103a\u101b\u1014\u103a\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u1031\u102c regression model \u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u101b\u102d\u102f\u1038\u101b\u102d\u102f\u1038 linear regression model \u104f \u100a\u102e\u1019\u103b\u103e\u1001\u103c\u1004\u103a\u1038\u1019\u103e\u102c \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-84736ca4dce84a29289dfa6da60d0242_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=\\beta_0+\\beta_1x_1+\\varepsilon\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"138\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a <strong>Multiple linear regression \u1014\u103e\u1004\u1037\u103a simple linear regression \u1021\u1000\u103c\u102c\u1038 \u1001\u103c\u102c\u1038\u1014\u102c\u1038\u1001\u103b\u1000\u103a\u1019\u103e\u102c<\/strong> explanatory variables \u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a\u1010\u103d\u1004\u103a \u1010\u100a\u103a\u101b\u103e\u102d\u101e\u100a\u103a\u104b Multiple linear regression model \u1010\u103d\u1004\u103a explanatory variable \u1014\u103e\u1005\u103a\u1001\u102f \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1011\u102d\u102f\u1037\u1011\u1000\u103a\u1015\u102d\u102f\u104d \u101b\u103e\u102d\u1015\u103c\u102e\u1038\u104a \u101b\u102d\u102f\u1038\u101b\u102d\u102f\u1038 linear regression model \u1010\u103d\u1004\u103a explanatory variable \u1010\u1005\u103a\u1001\u102f\u101e\u102c\u101b\u103e\u102d\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> \u1014\u102d\u1002\u102f\u1036\u1038\u1001\u103b\u102f\u1015\u103a\u1021\u1014\u1031\u1014\u103e\u1004\u1037\u103a\u104a multiple linear regression \u101e\u100a\u103a \u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u101e\u1031\u102c linear regression \u104f \u1014\u1031\u102c\u1000\u103a\u1006\u1000\u103a\u1010\u103d\u1032\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u1015\u103c\u102e\u1038\u104a \u1015\u102d\u102f\u1019\u102d\u102f\u101b\u103e\u1004\u103a\u1038\u1015\u103c\u1011\u102c\u1038\u101e\u1031\u102c variable \u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a \u104e\u1004\u103a\u1038\u1010\u102d\u102f\u1037\u104f \u101e\u1000\u103a\u1006\u102d\u102f\u1004\u103a\u101b\u102c regression coefficients \u1019\u103b\u102c\u1038\u1000\u102d\u102f \u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u1005\u103d\u102c\u1011\u100a\u1037\u103a\u101e\u103d\u1004\u103a\u1038\u1011\u102c\u1038\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u101e\u102d\u102f\u1037\u101e\u1031\u102c\u103a\u104a \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1000\u103d\u1032\u1015\u103c\u102c\u1038\u1005\u103d\u102c \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1011\u102c\u1038\u101e\u100a\u103a\u104a \u104e\u1004\u103a\u1038\u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101e\u100a\u103a\u1000\u102d\u102f \u1000\u103c\u100a\u1037\u103a\u101b\u103e\u102f\u101b\u1014\u103a \u1024\u1014\u1031\u101b\u102c\u1000\u102d\u102f \u1014\u103e\u102d\u1015\u103a\u1015\u102b- <\/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> <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\u1016\u103c\u1031\u102c\u1004\u1037\u103a\u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1000\u102d\u102f<\/a> <strong>\u1000\u103c\u100a\u1037\u103a\u1015\u102b\u104b<\/strong><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u1024\u1006\u1031\u102c\u1004\u103a\u1038\u1015\u102b\u1038\u101e\u100a\u103a \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1005\u102c\u101b\u1004\u103a\u1038\u1007\u101a\u102c\u1038\u1019\u103b\u102c\u1038\u1010\u103d\u1004\u103a \u1019\u103b\u1009\u103a\u1038\u1000\u103c\u1031\u102c\u1004\u103a\u1038\u1019\u103b\u102d\u102f\u1038\u1005\u102f\u1036\u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1021\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 Multiple linear regression model \u1000\u102d\u102f \u1016\u1014\u103a\u1010\u102e\u1038\u1014\u100a\u103a\u1038\u1014\u103e\u1004\u1037\u103a \u104e\u1004\u103a\u1038\u1000\u102d\u102f \u1021\u1013\u102d\u1015\u1039\u1015\u102c\u101a\u103a\u1016\u103d\u1004\u1037\u103a\u1006\u102d\u102f\u1015\u102f\u1036\u1010\u102d\u102f\u1037\u1000\u102d\u102f \u101e\u1004\u103a\u101c\u1031\u1037\u101c\u102c\u1015\u102b\u1019\u100a\u103a\u104b Multiple linear regression \u1006\u102d\u102f\u1010\u102c \u1018\u102c\u101c\u1032\u104b Multiple linear regression \u101e\u100a\u103a \u1021\u1019\u103e\u102e\u1021\u1001\u102d\u102f\u1000\u1004\u103a\u1038\u101e\u1031\u102c variable \u1014\u103e\u1005\u103a\u1001\u102f \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1011\u102d\u102f\u1037\u1011\u1000\u103a\u1015\u102d\u102f\u101e\u1031\u102c \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1015\u102f\u1036\u1005\u1036\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\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\u1019\u100a\u1037\u103a statistical model \u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a multiple linear regression model \u1000\u102d\u102f dependent variable \u1010\u1005\u103a\u1001\u102f\u1014\u103e\u1004\u1037\u103a [&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 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 Multiple linear regression<\/title>\n<meta name=\"description\" content=\"\u1024\u1014\u1031\u101b\u102c\u1010\u103d\u1004\u103a Multiple linear regression \u101f\u1030\u101e\u100a\u103a \u1021\u1018\u101a\u103a\u1014\u100a\u103a\u1038\u104a multiple linear regression model (\u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c) \u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u1015\u103c\u102f\u101c\u102f\u1015\u103a\u1011\u102c\u1038\u101e\u100a\u103a\u1014\u103e\u1004\u1037\u103a \u104e\u1004\u103a\u1038\u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u1021\u1013\u102d\u1015\u1039\u1015\u102c\u101a\u103a\u1015\u103c\u1014\u103a\u1006\u102d\u102f\u1011\u102c\u1038\u101e\u100a\u103a\u1000\u102d\u102f \u1024\u1014\u1031\u101b\u102c\u1010\u103d\u1004\u103a \u101e\u1004\u103a\u1010\u103d\u1031\u1037\u101c\u102d\u1019\u1037\u103a\u1019\u100a\u103a\u104b\" \/>\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\/my\/multiple-linear-regression-\u1041\/\" \/>\n<meta property=\"og:locale\" content=\"my_MM\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u25b7 Multiple linear regression\" \/>\n<meta property=\"og:description\" content=\"\u1024\u1014\u1031\u101b\u102c\u1010\u103d\u1004\u103a Multiple linear regression \u101f\u1030\u101e\u100a\u103a \u1021\u1018\u101a\u103a\u1014\u100a\u103a\u1038\u104a multiple linear regression model (\u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c) \u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u1015\u103c\u102f\u101c\u102f\u1015\u103a\u1011\u102c\u1038\u101e\u100a\u103a\u1014\u103e\u1004\u1037\u103a \u104e\u1004\u103a\u1038\u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u1021\u1013\u102d\u1015\u1039\u1015\u102c\u101a\u103a\u1015\u103c\u1014\u103a\u1006\u102d\u102f\u1011\u102c\u1038\u101e\u100a\u103a\u1000\u102d\u102f \u1024\u1014\u1031\u101b\u102c\u1010\u103d\u1004\u103a \u101e\u1004\u103a\u1010\u103d\u1031\u1037\u101c\u102d\u1019\u1037\u103a\u1019\u100a\u103a\u104b\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/my\/multiple-linear-regression-\u1041\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-08-02T16:21:11+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-fd3ba8386b5954b654ca555774108ac0_l3.png\" \/>\n<meta name=\"author\" content=\"Benjamin Anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Benjamin Anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" 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