{"id":319,"date":"2023-08-02T14:06:03","date_gmt":"2023-08-02T14:06:03","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e7%ba%bf%e6%80%a7%e5%9b%9e%e5%bd%921\/"},"modified":"2023-08-02T14:06:03","modified_gmt":"2023-08-02T14:06:03","slug":"%e7%ba%bf%e6%80%a7%e5%9b%9e%e5%bd%921","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e7%ba%bf%e6%80%a7%e5%9b%9e%e5%bd%921\/","title":{"rendered":"\u7ebf\u6027\u56de\u5f52"},"content":{"rendered":"<p>\u672c\u6587\u89e3\u91ca\u4e86\u4ec0\u4e48\u662f\u7ebf\u6027\u56de\u5f52\u4ee5\u53ca\u5b83\u5728\u7edf\u8ba1\u5b66\u4e2d\u7684\u7528\u9014\u3002\u6b64\u5916\uff0c\u60a8\u5c06\u80fd\u591f\u770b\u5230\u5982\u4f55\u8ba1\u7b97\u4e24\u79cd\u7c7b\u578b\u7684\u7ebf\u6027\u56de\u5f52\uff1a\u7b80\u5355\u7ebf\u6027\u56de\u5f52\u548c\u591a\u5143\u7ebf\u6027\u56de\u5f52\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-regresion-lineal\"><\/span>\u4ec0\u4e48\u662f\u7ebf\u6027\u56de\u5f52\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u7ebf\u6027\u56de\u5f52<\/strong>\u662f\u4e00\u79cd\u5c06\u4e00\u4e2a\u6216\u591a\u4e2a\u81ea\u53d8\u91cf\u4e0e\u56e0\u53d8\u91cf\u76f8\u5173\u8054\u7684\u7edf\u8ba1\u6a21\u578b\u3002\u7b80\u800c\u8a00\u4e4b\uff0c\u7ebf\u6027\u56de\u5f52\u662f\u4e00\u79cd\u7528\u4e8e\u67e5\u627e\u8fd1\u4f3c\u4e00\u4e2a\u6216\u591a\u4e2a\u89e3\u91ca\u53d8\u91cf\u4e0e\u54cd\u5e94\u53d8\u91cf\u4e4b\u95f4\u5173\u7cfb\u7684\u65b9\u7a0b\u7684\u6280\u672f\u3002<\/p>\n<p>\u4f8b\u5982\uff0c\u65b9\u7a0b y=2+5x <sub>1<\/sub> -3x <sub>2<\/sub> +8x <sub>3<\/sub>\u662f\u4e00\u4e2a\u7ebf\u6027\u56de\u5f52\u6a21\u578b\uff0c\u56e0\u4e3a\u5b83\u5728\u6570\u5b66\u4e0a\u5c06\u4e09\u4e2a\u81ea\u53d8\u91cf (x <sub>1<\/sub> \u3001 x <sub>2<\/sub> \u3001 x <sub>3<\/sub> ) \u4e0e\u56e0\u53d8\u91cf (y) \u76f8\u5173\u8054\uff0c\u800c\u4e14\uff0c\u53d8\u91cf\u4e4b\u95f4\u7684\u5173\u7cfb\u662f\u7ebf\u6027\u7684\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"tipos-de-regresion-lineal\"><\/span>\u7ebf\u6027\u56de\u5f52\u7684\u7c7b\u578b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6709\u4e24\u79cd<strong>\u7c7b\u578b\u7684\u7ebf\u6027\u56de\u5f52<\/strong>\uff1a<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:20px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u7b80\u5355\u7ebf\u6027\u56de\u5f52<\/strong>\uff1a\u5355\u4e2a\u81ea\u53d8\u91cf\u4e0e\u56e0\u53d8\u91cf\u76f8\u5173\u3002\u56e0\u6b64\uff0c\u6b64\u7c7b\u7ebf\u6027\u56de\u5f52\u6a21\u578b\u7684\u65b9\u7a0b\u7684\u5f62\u5f0f\u4e3a y=\u03b2 <sub>0<\/sub> +\u03b2 <sub>1<\/sub> x <sub>1<\/sub> \u3002<\/span><\/li>\n<li style=\"margin-bottom:20px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u591a\u5143\u7ebf\u6027\u56de\u5f52<\/strong>\uff1a\u56de\u5f52\u6a21\u578b\u6709\u51e0\u4e2a\u89e3\u91ca\u53d8\u91cf\u548c\u4e00\u4e2a\u54cd\u5e94\u53d8\u91cf\u3002\u56e0\u6b64\uff0c\u6b64\u7c7b\u7ebf\u6027\u56de\u5f52\u6a21\u578b\u7684\u65b9\u7a0b\u7684\u5f62\u5f0f\u4e3a 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> \u3002<\/span> <\/li>\n<\/ul>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"regresion-lineal-simple\"><\/span>\u7b80\u5355\u7ebf\u6027\u56de\u5f52<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>\u7b80\u5355\u7ebf\u6027\u56de\u5f52<\/strong>\u7528\u4e8e\u5c06\u4e00\u4e2a\u81ea\u53d8\u91cf\u4e0e\u4e24\u4e2a\u53d8\u91cf\u76f8\u5173\u8054\u3002<\/p>\n<p>\u7b80\u5355\u7ebf\u6027\u56de\u5f52\u6a21\u578b\u7684\u65b9\u7a0b\u662f\u4e00\u6761\u76f4\u7ebf\uff0c\u56e0\u6b64\u5b83\u7531\u4e24\u4e2a\u7cfb\u6570\u7ec4\u6210\uff1a\u65b9\u7a0b\u5e38\u6570\uff08\u03b2 <sub>0<\/sub> \uff09\u548c\u4e24\u4e2a\u53d8\u91cf\u4e4b\u95f4\u7684\u76f8\u5173\u7cfb\u6570\uff08\u03b2 <sub>1<\/sub> \uff09\u3002\u56e0\u6b64\uff0c\u7b80\u5355\u7ebf\u6027\u56de\u5f52\u6a21\u578b\u7684\u65b9\u7a0b\u4e3a y=\u03b2 <sub>0<\/sub> +\u03b2 <sub>1<\/sub> x\u3002<\/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>\u7b80\u5355\u7ebf\u6027\u56de\u5f52\u7cfb\u6570\u7684\u8ba1\u7b97\u516c\u5f0f<\/strong>\u5982\u4e0b\uff1a<\/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\">\u91d1\u5b50\uff1a<\/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>\u662f\u56de\u5f52\u7ebf\u7684\u5e38\u6570\u3002<\/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>\u662f\u56de\u5f52\u7ebf\u7684\u659c\u7387\u3002<\/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>\u662f\u6570\u636e i \u7684\u81ea\u53d8\u91cf X \u7684\u503c\u3002<\/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>\u662f\u6570\u636e i \u7684\u56e0\u53d8\u91cf Y \u7684\u503c\u3002<\/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>\u662f\u81ea\u53d8\u91cf\u503c\u7684\u5e73\u5747\u503c<\/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>\u662f\u56e0\u53d8\u91cf Y \u503c\u7684\u5e73\u5747\u503c\u3002 <\/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><strong>\u8bf7\u53c2\u9605\uff1a<\/strong><a href=\"https:\/\/statorials.org\/cn\/\u7b80\u5355\u7ebf\u6027\u56de\u5f52\/\">\u7b80\u5355\u7ebf\u6027\u56de\u5f52\u7684\u5177\u4f53\u793a\u4f8b<\/a><\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"regresion-lineal-multiple\"><\/span>\u591a\u5143\u7ebf\u6027\u56de\u5f52<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u5728<strong>\u591a\u5143\u7ebf\u6027\u56de\u5f52<\/strong>\u6a21\u578b\u4e2d\uff0c\u81f3\u5c11\u5305\u542b\u4e24\u4e2a\u81ea\u53d8\u91cf\u3002\u6362\u53e5\u8bdd\u8bf4\uff0c\u591a\u5143\u7ebf\u6027\u56de\u5f52\u5141\u8bb8\u591a\u4e2a\u89e3\u91ca\u53d8\u91cf\u4e0e\u54cd\u5e94\u53d8\u91cf\u7ebf\u6027\u76f8\u5173\u3002<\/p>\n<p>\u591a\u5143\u7ebf\u6027\u56de\u5f52\u6a21\u578b\u7684\u65b9\u7a0b\u4e3a 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\u3002<\/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\">\u91d1\u5b50\uff1a<\/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>\u662f\u56e0\u53d8\u91cf\u3002<\/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>\u662f\u81ea\u53d8\u91cf i\u3002<\/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>\u662f\u591a\u5143\u7ebf\u6027\u56de\u5f52\u65b9\u7a0b\u7684\u5e38\u6570\u3002<\/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>\u662f\u4e0e\u53d8\u91cf\u76f8\u5173\u7684\u56de\u5f52\u7cfb\u6570<\/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>\u3002<\/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>\u662f\u8bef\u5dee\u6216\u6b8b\u5dee\uff0c\u5373\u89c2\u6d4b\u503c\u4e0e\u6a21\u578b\u4f30\u8ba1\u503c\u4e4b\u95f4\u7684\u5dee\u5f02\u3002<\/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>\u662f\u6a21\u578b\u4e2d\u53d8\u91cf\u7684\u603b\u6570\u3002<\/li>\n<\/ul>\n<p>\u6240\u4ee5\u5982\u679c\u6211\u4eec\u6709\u4e00\u4e2a\u6837\u672c\u603b\u5171<\/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>\u89c2\u5bdf\uff0c\u6211\u4eec\u53ef\u4ee5\u4ee5\u77e9\u9635\u5f62\u5f0f\u63d0\u51fa\u591a\u5143\u7ebf\u6027\u56de\u5f52\u6a21\u578b\uff1a<\/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>\u4e0a\u9762\u7684\u77e9\u9635\u8868\u8fbe\u5f0f\u53ef\u4ee5\u901a\u8fc7\u4e3a\u6bcf\u4e2a\u77e9\u9635\u5206\u914d\u4e00\u4e2a\u5b57\u6bcd\u6765\u91cd\u5199\uff1a<\/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>\u56e0\u6b64\uff0c\u901a\u8fc7\u5e94\u7528\u6700\u5c0f\u4e8c\u4e58\u51c6\u5219\uff0c\u6211\u4eec\u53ef\u4ee5\u5f97\u51fa<strong>\u4f30\u8ba1\u591a\u5143\u7ebf\u6027\u56de\u5f52\u6a21\u578b\u7cfb\u6570\u7684\u516c\u5f0f<\/strong>\uff1a<\/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>\u7136\u800c\uff0c\u8be5\u516c\u5f0f\u7684\u5e94\u7528\u975e\u5e38\u8d39\u529b\u4e14\u8017\u65f6\uff0c\u8fd9\u5c31\u662f\u4e3a\u4ec0\u4e48\u5728\u5b9e\u8df5\u4e2d\u5efa\u8bae\u4f7f\u7528\u8ba1\u7b97\u673a\u8f6f\u4ef6\uff08\u4f8b\u5982Minitab\u6216Excel\uff09\uff0c\u5b83\u53ef\u4ee5\u66f4\u5feb\u5730\u521b\u5efa\u591a\u5143\u56de\u5f52\u6a21\u578b\u3002 <\/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>\u8bf7\u53c2\u9605\uff1a<\/strong><a href=\"https:\/\/statorials.org\/cn\/\u591a\u5143\u7ebf\u6027\u56de\u5f521\/\">\u89e3\u91ca\u591a\u5143\u7ebf\u6027\u56de\u5f52\u6a21\u578b<\/a><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"supuestos-de-la-regresion-lineal\"><\/span>\u7ebf\u6027\u56de\u5f52\u5047\u8bbe<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5728\u7ebf\u6027\u56de\u5f52\u6a21\u578b\u4e2d\uff0c\u5fc5\u987b\u6ee1\u8db3\u4ee5\u4e0b\u6761\u4ef6\u624d\u80fd\u4f7f\u6a21\u578b\u6709\u6548\uff1a<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u72ec\u7acb\u6027<\/strong>\uff1a\u6b8b\u57fa\u5fc5\u987b\u5f7c\u6b64\u72ec\u7acb\u3002\u786e\u4fdd\u6a21\u578b\u72ec\u7acb\u6027\u7684\u5e38\u89c1\u65b9\u6cd5\u662f\u5728\u91c7\u6837\u8fc7\u7a0b\u4e2d\u6dfb\u52a0\u968f\u673a\u6027\u3002<\/span><\/li>\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u540c\u65b9\u5dee\u6027<\/strong>\uff1a\u6b8b\u5dee\u7684\u65b9\u5dee\u5fc5\u987b\u5177\u6709\u540c\u8d28\u6027\uff0c\u5373\u6b8b\u5dee\u7684\u53d8\u5f02\u6027\u5fc5\u987b\u6052\u5b9a\u3002<\/span><\/li>\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u975e\u591a\u91cd\u5171\u7ebf\u6027<\/strong>\uff1a\u6a21\u578b\u4e2d\u5305\u542b\u7684\u89e3\u91ca\u53d8\u91cf\u4e0d\u80fd\u76f8\u4e92\u5173\u8054\uff0c\u6216\u8005\u81f3\u5c11\u5b83\u4eec\u7684\u5173\u7cfb\u5fc5\u987b\u975e\u5e38\u5f31\u3002<\/span><\/li>\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u6b63\u6001\u6027<\/strong>\uff1a\u6b8b\u5dee\u5fc5\u987b\u670d\u4ece\u6b63\u6001\u5206\u5e03\uff0c\u6362\u53e5\u8bdd\u8bf4\uff0c\u5b83\u4eec\u5fc5\u987b\u670d\u4ece\u5747\u503c\u4e3a 0 \u7684\u6b63\u6001\u5206\u5e03\u3002<\/span><\/li>\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u7ebf\u6027<\/strong>\uff1a\u5047\u8bbe\u54cd\u5e94\u53d8\u91cf\u548c\u89e3\u91ca\u53d8\u91cf\u4e4b\u95f4\u7684\u5173\u7cfb\u662f\u7ebf\u6027\u7684\u3002<\/span> <\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfpara-que-sirve-la-regresion-lineal\"><\/span>\u7ebf\u6027\u56de\u5f52\u6709\u4ec0\u4e48\u7528\uff1f<span 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