{"id":312,"date":"2023-08-02T16:52:39","date_gmt":"2023-08-02T16:52:39","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e5%9b%9e%e5%bd%92%e7%b3%bb%e6%95%b0\/"},"modified":"2023-08-02T16:52:39","modified_gmt":"2023-08-02T16:52:39","slug":"%e5%9b%9e%e5%bd%92%e7%b3%bb%e6%95%b0","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e5%9b%9e%e5%bd%92%e7%b3%bb%e6%95%b0\/","title":{"rendered":"\u56de\u5f52\u7cfb\u6570"},"content":{"rendered":"<p>\u672c\u6587\u89e3\u91ca\u4e86\u7edf\u8ba1\u5b66\u4e2d\u7684\u56de\u5f52\u7cfb\u6570\u3002\u56e0\u6b64\uff0c\u60a8\u5c06\u4e86\u89e3\u5982\u4f55\u8ba1\u7b97\u56de\u5f52\u7cfb\u6570\u4ee5\u53ca\u5982\u4f55\u89e3\u91ca\u5176\u503c\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-el-coeficiente-de-regresion\"><\/span>\u56de\u5f52\u7cfb\u6570\u662f\u591a\u5c11\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u56de\u5f52\u7cfb\u6570<\/strong>\u662f\u4e0e\u56de\u5f52\u6a21\u578b\u4e2d\u6bcf\u4e2a\u89e3\u91ca\u53d8\u91cf\u76f8\u5173\u7684\u503c\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u56de\u5f52\u7cfb\u6570\u662f\u56de\u5f52\u65b9\u7a0b\u4e2d\u7684\u89e3\u91ca\u53d8\u91cf\u76f8\u4e58\u7684\u503c\uff0c\u4f7f\u5f97\u6bcf\u4e2a\u89e3\u91ca\u53d8\u91cf\u5bf9\u5e94\u4e00\u4e2a\u56de\u5f52\u7cfb\u6570\u3002<\/p>\n<p>\u4f8b\u5982\uff0c\u5982\u679c\u56de\u5f52\u6a21\u578b\u7684\u7ed3\u679c\u65b9\u7a0b\u4e3a y=3+2x <sub>1<\/sub> -7x <sub>2<\/sub> \uff0c\u5219\u6a21\u578b\u7684\u56de\u5f52\u7cfb\u6570\u4e3a 3\u30012 \u548c -7\u3002\u8bf7\u6ce8\u610f\uff0c\u65b9\u7a0b (3) \u4e2d\u7684\u5e38\u6570\u4e5f\u88ab\u89c6\u4e3a\u56de\u5f52\u7cfb\u6570\uff0c\u5373\u4f7f\u5b83\u4e0d\u4e58\u4ee5\u4efb\u4f55\u53d8\u91cf\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-3e0b8b843c03868db62f87256174dd6b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=\\color{blue}\\bm{3}\\color{black}+\\color{blue}\\bm{2}\\color{black}x_1\\color{blue}\\bm{-7}\\color{black}x_2\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"345\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p>\u56e0\u6b64\uff0c\u5728\u56de\u5f52\u6a21\u578b\u4e2d\uff0c\u6709\u591a\u5c11\u4e2a\u89e3\u91ca\u53d8\u91cf\uff08\u6216\u81ea\u53d8\u91cf\uff09\u5c31\u6709\u591a\u5c11\u4e2a\u56de\u5f52\u7cfb\u6570\u52a0\u4e00\uff0c\u5bf9\u5e94\u4e8e\u6a21\u578b\u65b9\u7a0b\u4e2d\u7684\u5e38\u6570\u3002<\/p>\n<p>\u6b64\u5916\uff0c\u56de\u5f52\u7cfb\u6570\u8868\u793a\u81ea\u53d8\u91cf\u548c\u56e0\u53d8\u91cf\u4e4b\u95f4\u7684\u5173\u7cfb\u3002\u4f8b\u5982\uff0c\u5982\u679c\u56de\u5f52\u7cfb\u6570\u4e3a\u6b63\uff0c\u5219\u610f\u5473\u7740\u968f\u7740\u81ea\u53d8\u91cf\u7684\u589e\u52a0\uff0c\u56e0\u53d8\u91cf\u4e5f\u4f1a\u589e\u52a0\u3002\u7136\u800c\uff0c\u4e24\u4e2a\u53d8\u91cf\u4e4b\u95f4\u7684\u5173\u7cfb\u5e76\u4e0d\u603b\u662f\u90a3\u4e48\u76f4\u63a5\u3002\u4e0b\u9762\u6211\u4eec\u5c06\u770b\u5230\u5982\u4f55\u89e3\u91ca\u56de\u5f52\u7cfb\u6570\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-del-coeficiente-de-regresion\"><\/span>\u56de\u5f52\u7cfb\u6570\u516c\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5bf9\u4e8e\u7b80\u5355\u7ebf\u6027\u56de\u5f52\uff0c\u5176\u65b9\u7a0b\u4e3a\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-59539ee9a2d30ec4b1a2f75658c2123e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=b_0+b_1\\cdot x\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"108\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p>\u6a21\u578b\u4e24\u4e2a\u56de\u5f52\u7cfb\u6570\u7684\u8ba1\u7b97\u516c\u5f0f\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-f4582a02500f36499fc60647a4dd5869_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b_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}\" title=\"Rendered by QuickLaTeX.com\" height=\"107\" width=\"190\" style=\"vertical-align: -49px;\"><\/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-369b22bafb2489dc46579d38f5ac6917_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b_0=\\overline{y}-b_1\\overline{x}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"96\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p>\u60a8\u53ef\u4ee5\u5728\u4ee5\u4e0b\u94fe\u63a5\u4e2d\u770b\u5230\u5df2\u89e3\u51b3\u7684\u8ba1\u7b97\u56de\u5f52\u7cfb\u6570\u7684\u95ee\u9898\uff1a <\/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\/\u7b80\u5355\u7ebf\u6027\u56de\u5f52\/\">\u5df2\u89e3\u51b3\u7684\u7b80\u5355\u7ebf\u6027\u56de\u5f52\u7ec3\u4e60<\/a><\/div>\n<p>\u5982\u679c\u8981\u8ba1\u7b97\u591a\u5143\u7ebf\u6027\u56de\u5f52\u6a21\u578b\u7684\u56de\u5f52\u7cfb\u6570\uff0c\u6700\u597d\u4f7f\u7528\u8ba1\u7b97\u673a\u8f6f\u4ef6\uff0c\u56e0\u4e3a\u516c\u5f0f\u8981\u590d\u6742\u5f97\u591a\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"interpretacion-del-coeficiente-de-regresion\"><\/span>\u56de\u5f52\u7cfb\u6570\u7684\u89e3\u91ca<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u73b0\u5728\u6211\u4eec\u77e5\u9053\u4e86\u7edf\u8ba1\u5b66\u4e2d\u7684\u56de\u5f52\u7cfb\u6570\u662f\u4ec0\u4e48\u4ee5\u53ca\u5b83\u662f\u5982\u4f55\u8ba1\u7b97\u7684\uff0c\u8ba9\u6211\u4eec\u770b\u770b\u5982\u4f55\u89e3\u91ca\u56de\u5f52\u7cfb\u6570\u3002<\/p>\n<p>\u53d8\u91cf<strong>\u56de\u5f52\u7cfb\u6570\u7684\u89e3\u91ca<\/strong>\u5f88\u7b80\u5355\uff1a\u5982\u679c\u5176\u4f59\u89e3\u91ca\u53d8\u91cf\u4fdd\u6301\u4e0d\u53d8\uff0c\u5219\u89e3\u91ca\u53d8\u91cf\u7684\u589e\u52a0\u5c06\u5bfc\u81f4\u56e0\u53d8\u91cf\u7684\u589e\u52a0\u6216\u51cf\u5c11\uff0c\u5177\u4f53\u53d6\u51b3\u4e8e\u5176\u7cfb\u6570\u7684\u7b26\u53f7\u662f\u6b63\u8fd8\u662f\u8d1f\u3002\u79ef\u6781\u7684\u3002\u5206\u522b\u4e3a\u8d1f\u3002 \u3002<\/p>\n<p>\u56e0\u6b64\uff0c\u5982\u679c\u89e3\u91ca\u53d8\u91cf\u7684\u56de\u5f52\u7cfb\u6570\u4e3a\u6b63\uff0c\u5219\u610f\u5473\u7740\u8be5\u53d8\u91cf\u4e0e\u56e0\u53d8\u91cf\u5177\u6709\u6b63\u76f8\u5173\u6027\u3002\u53e6\u4e00\u65b9\u9762\uff0c\u5982\u679c\u7cfb\u6570\u4e3a\u8d1f\uff0c\u5219\u610f\u5473\u7740\u81ea\u53d8\u91cf\u548c\u56e0\u53d8\u91cf\u5177\u6709\u8d1f\u76f8\u5173\u6027\u3002<\/p>\n<p>\u7136\u800c\uff0c\u5982\u679c\u89e3\u91ca\u53d8\u91cf\u4e4b\u95f4\u4e0d\u5b58\u5728\u76f8\u4e92\u4f5c\u7528\uff0c\u4e5f\u5c31\u662f\u8bf4\uff0c\u5f53\u4e00\u4e2a\u89e3\u91ca\u53d8\u91cf\u53d1\u751f\u53d8\u5316\u65f6\uff0c\u5176\u4ed6\u53d8\u91cf\u4fdd\u6301\u4e0d\u53d8\uff0c\u5219\u6240\u6709\u8fd9\u4e9b\u90fd\u662f\u6b63\u786e\u7684\u3002\u5426\u5219\uff0c\u9700\u8981\u66f4\u8be6\u7ec6\u5730\u5206\u6790\u89e3\u91ca\u53d8\u91cf\u548c\u54cd\u5e94\u53d8\u91cf\u4e4b\u95f4\u7684\u5173\u7cfb\u3002<\/p>\n<p>\u8981\u4e86\u89e3\u66f4\u591a\u4fe1\u606f\uff0c\u60a8\u53ef\u4ee5\u67e5\u9605\u6211\u4eec\u7684\u4ee5\u4e0b\u6587\u7ae0\uff1a <\/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\/\u76f8\u5173\u6027\u7c7b\u578b\/\">\u76f8\u5173\u6027\u7c7b\u578b<\/a><\/div>\n<p>\u6b64\u5916\uff0c\u5728\u5206\u6790\u56de\u5f52\u7cfb\u6570\u65f6\uff0c\u8003\u8651\u76f8\u5e94\u53d8\u91cf\u662f\u7ebf\u6027\u8fd8\u662f\u975e\u7ebf\u6027\u4e5f\u5f88\u91cd\u8981\u3002\u56e0\u4e3a\u5982\u679c\u53d8\u91cf\u662f\u975e\u7ebf\u6027\u7684\uff0c\u5219\u53d8\u91cf\u503c\u7684\u53d8\u5316\u5c06\u5bf9\u54cd\u5e94\u53d8\u91cf\u4ea7\u751f\u4e0d\u540c\u7684\u5f71\u54cd\u3002\u4f8b\u5982\uff0c\u4e8c\u6b21\u53d8\u91cf\u5c06\u8d1f\u503c\u8f6c\u6362\u4e3a\u6b63\u503c\uff0c\u56e0\u6b64\u4e8c\u6b21\u53d8\u91cf\u8d8a\u8d1f\uff0c\u54cd\u5e94\u53d8\u91cf\u8d8a\u5927\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"coeficiente-de-regresion-y-coeficiente-de-determinacion\"><\/span>\u56de\u5f52\u7cfb\u6570\u548c\u51b3\u5b9a\u7cfb\u6570<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6700\u540e\uff0c\u6211\u4eec\u770b\u770b\u56de\u5f52\u7cfb\u6570\u548c\u51b3\u5b9a\u7cfb\u6570\u6709\u4ec0\u4e48\u533a\u522b\uff0c\u56e0\u4e3a\u5b83\u4eec\u662f\u56de\u5f52\u6a21\u578b\u4e2d\u975e\u5e38\u91cd\u8981\u7684\u4e24\u4e2a\u7cfb\u6570\uff0c\u5176\u542b\u4e49\u5fc5\u987b\u660e\u786e\u3002<\/p>\n<p><strong>\u51b3\u5b9a\u7cfb\u6570 (R <sup>2<\/sup> )<\/strong>\u662f\u8861\u91cf\u56de\u5f52\u6a21\u578b\u62df\u5408\u4f18\u5ea6\u7684\u7edf\u8ba1\u91cf\u3002\u7b80\u800c\u8a00\u4e4b\uff0c\u51b3\u5b9a\u7cfb\u6570\u663e\u793a\u4e86\u56de\u5f52\u6a21\u578b\u5bf9\u6570\u636e\u96c6\u7684\u62df\u5408\u7a0b\u5ea6\u3002<\/p>\n<p>\u56e0\u6b64\uff0c<strong>\u56de\u5f52\u7cfb\u6570\u4e0e\u51b3\u5b9a\u7cfb\u6570\u7684\u533a\u522b<\/strong>\u5728\u4e8e\uff0c\u56de\u5f52\u7cfb\u6570\u8868\u793a\u81ea\u53d8\u91cf\u4e0e\u56e0\u53d8\u91cf\u4e4b\u95f4\u7684\u5173\u7cfb\uff0c\u800c\u51b3\u5b9a\u7cfb\u6570\u8868\u793a\u56de\u5f52\u6a21\u578b\u7684\u62df\u5408\u4f18\u5ea6\u3002 \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>\u53c2\u89c1\uff1a<\/strong><a href=\"https:\/\/statorials.org\/cn\/\u51b3\u5b9a\u7cfb\u6570-r-\u5e73\u65b9\/\">\u51b3\u5b9a\u7cfb\u6570<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u672c\u6587\u89e3\u91ca\u4e86\u7edf\u8ba1\u5b66\u4e2d\u7684\u56de\u5f52\u7cfb\u6570\u3002\u56e0\u6b64\uff0c\u60a8\u5c06\u4e86\u89e3\u5982\u4f55\u8ba1\u7b97\u56de\u5f52\u7cfb\u6570\u4ee5\u53ca\u5982\u4f55\u89e3\u91ca\u5176\u503c\u3002 \u56de\u5f52\u7cfb\u6570\u662f\u591a\u5c11\uff1f \u56de\u5f52\u7cfb\u6570\u662f\u4e0e [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[14],"tags":[],"class_list":["post-312","post","type-post","status-publish","format-standard","hentry","category-14"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 \u56de\u5f52\u7cfb\u6570<\/title>\n<meta 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