{"id":309,"date":"2023-08-02T18:09:42","date_gmt":"2023-08-02T18:09:42","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e8%b0%83%e6%95%b4%e5%86%b3%e5%ae%9a%e7%b3%bb%e6%95%b0-r-%e8%b0%83%e6%95%b4%e5%b9%b3%e6%96%b9\/"},"modified":"2023-08-02T18:09:42","modified_gmt":"2023-08-02T18:09:42","slug":"%e8%b0%83%e6%95%b4%e5%86%b3%e5%ae%9a%e7%b3%bb%e6%95%b0-r-%e8%b0%83%e6%95%b4%e5%b9%b3%e6%96%b9","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e8%b0%83%e6%95%b4%e5%86%b3%e5%ae%9a%e7%b3%bb%e6%95%b0-r-%e8%b0%83%e6%95%b4%e5%b9%b3%e6%96%b9\/","title":{"rendered":"\u8c03\u6574\u540e\u7684\u51b3\u5b9a\u7cfb\u6570\uff08\u8c03\u6574\u540e\u7684 r \u5e73\u65b9\uff09"},"content":{"rendered":"<p>\u672c\u6587\u89e3\u91ca\u4e86\u7edf\u8ba1\u5b66\u4e2d\u8c03\u6574\u51b3\u5b9a\u7cfb\u6570\uff08\u6216\u8c03\u6574 R \u65b9\uff09\u7684\u542b\u4e49\u53ca\u5176\u7528\u9014\u3002\u540c\u6837\uff0c\u60a8\u5c06\u4e86\u89e3\u5982\u4f55\u8ba1\u7b97\u8c03\u6574\u540e\u7684\u51b3\u5b9a\u7cfb\u6570\u3001\u5982\u4f55\u89e3\u91ca\u5b83\uff0c\u4ee5\u53ca\u7528\u4e8e\u8ba1\u7b97\u8c03\u6574\u540e\u7684\u51b3\u5b9a\u7cfb\u6570\u7684\u5728\u7ebf\u8ba1\u7b97\u5668\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-el-coeficiente-de-determinacion-ajustado\"><\/span>\u8c03\u6574\u540e\u7684\u51b3\u5b9a\u7cfb\u6570\u662f\u591a\u5c11\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u8c03\u6574\u51b3\u5b9a\u7cfb\u6570<\/strong>\u4e5f\u79f0\u4e3a<strong>\u8c03\u6574 R \u5e73\u65b9<\/strong>\uff0c\u662f\u4e00\u4e2a\u7cfb\u6570\uff0c\u8868\u793a\u8003\u8651\u6a21\u578b\u4e2d\u5305\u542b\u7684\u89e3\u91ca\u53d8\u91cf\u6570\u91cf\u7684\u56de\u5f52\u6a21\u578b\u7684\u62df\u5408\u4f18\u5ea6\u3002<\/p>\n<p>\u8c03\u6574\u540e\u7684\u51b3\u5b9a\u7cfb\u6570\u7684\u7b26\u53f7\u4e3a<\/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-3ae8b56e515d662eca2beb4afd7fb0f9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bar{R}^2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"21\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u3002<\/p>\n<p>\u56e0\u6b64\uff0c\u8c03\u6574\u540e\u7684\u51b3\u5b9a\u7cfb\u6570\u8861\u91cf\u56de\u5f52\u6a21\u578b\u89e3\u91ca\u7684\u767e\u5206\u6bd4\uff0c\u5bf9\u5f15\u5165\u6a21\u578b\u7684\u6bcf\u4e2a\u89e3\u91ca\u53d8\u91cf\u8fdb\u884c\u60e9\u7f5a\u3002\u4e00\u822c\u6765\u8bf4\uff0c\u56de\u5f52\u6a21\u578b\u7684\u53d8\u91cf\u8d8a\u591a\uff0c\u8d8a\u80fd\u66f4\u597d\u5730\u89e3\u91ca\u6570\u636e\u6837\u672c\uff0c\u4f46\u6a21\u578b\u4e5f\u5c31\u8d8a\u590d\u6742\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u5fc5\u987b\u627e\u5230\u6700\u80fd\u89e3\u91ca\u6570\u636e\u4f46\u53d8\u91cf\u6700\u5c11\u7684\u6a21\u578b\u3002<\/p>\n<p>\u56e0\u6b64\uff0c\u8c03\u6574\u540e\u7684\u51b3\u5b9a\u7cfb\u6570\u7528\u4e8e\u6bd4\u8f83\u4e0d\u540c\u56de\u5f52\u6a21\u578b\u4e4b\u95f4\u7684\u62df\u5408\u4f18\u5ea6\u3002\u901a\u8fc7\u8003\u8651\u6a21\u578b\u4e2d\u53d8\u91cf\u7684\u6570\u91cf\uff0c\u8be5\u7edf\u8ba1\u7cfb\u6570\u5bf9\u4e8e\u6bd4\u8f83\u5177\u6709\u4e0d\u540c\u53d8\u91cf\u7684\u6a21\u578b\u975e\u5e38\u6709\u7528\u3002\u4e0b\u9762\u6211\u4eec\u5c06\u770b\u770b\u5982\u4f55\u89e3\u91ca\u8c03\u6574\u540e\u7684\u51b3\u5b9a\u7cfb\u6570\u3002<\/p>\n<p>\u5728\u7edf\u8ba1\u5b66\u4e2d\uff0c\u8c03\u6574\u51b3\u5b9a\u7cfb\u6570\u4e5f\u79f0\u4e3a<strong>\u4fee\u6b63\u51b3\u5b9a\u7cfb\u6570<\/strong>\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-del-coeficiente-de-determinacion-ajustado\"><\/span>\u8c03\u6574\u51b3\u5b9a\u7cfb\u6570\u516c\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u8c03\u6574\u540e\u51b3\u5b9a\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-bab21915405ecf54c525594c50d434cb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bar{R}^2=1-\\cfrac{N-1}{N-k-1}\\cdot (1-R^2)\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"233\" style=\"vertical-align: -12px;\"><\/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-3ae8b56e515d662eca2beb4afd7fb0f9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bar{R}^2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"21\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f\u8c03\u6574\u540e\u7684\u51b3\u5b9a\u7cfb\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-c7d6931063ed333ca39b952ccfd482b8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"R^2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"21\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f<a href=\"https:\/\/statorials.org\/cn\/\u51b3\u5b9a\u7cfb\u6570-r-\u5e73\u65b9\/\">\u51b3\u5b9a\u7cfb\u6570<\/a>\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-7354bae77b50b7d1faed3e8ea7a3511a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"N\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"16\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f\u6837\u672c\u5927\u5c0f\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-d42bc2203d6f76ad01b27ac9acc0bee1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"k\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f\u56de\u5f52\u6a21\u578b\u4e2d\u89e3\u91ca\u53d8\u91cf\u7684\u6570\u91cf\u3002<\/li>\n<\/ul>\n<p> \ud83d\udc49<u style=\"text-decoration-color:#FF8A05;\">\u60a8\u53ef\u4ee5\u4f7f\u7528\u4e0b\u9762\u7684\u8ba1\u7b97\u5668\u6765\u8ba1\u7b97\u8c03\u6574\u540e\u7684\u51b3\u5b9a\u7cfb\u6570\u3002<\/u><\/p>\n<p>\u5982\u679c\u6211\u4eec\u5206\u6790\u8c03\u6574\u540e\u7684\u51b3\u5b9a\u7cfb\u6570\u7684\u516c\u5f0f\uff0c\u6211\u4eec\u53ef\u4ee5\u63a8\u65ad\u51fa\u5b83\u603b\u662f\u4f4e\u4e8e\u672a\u8c03\u6574\u7684\u51b3\u5b9a\u7cfb\u6570\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"interpretacion-del-coeficiente-de-determinacion-ajustado\"><\/span>\u8c03\u6574\u540e\u51b3\u5b9a\u7cfb\u6570\u7684\u89e3\u91ca<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4e00\u65e6\u6211\u4eec\u4e86\u89e3\u4e86\u8c03\u6574\u51b3\u5b9a\u7cfb\u6570\u7684\u5b9a\u4e49\u53ca\u5176\u516c\u5f0f\u662f\u4ec0\u4e48\uff0c\u5728\u672c\u8282\u4e2d\u6211\u4eec\u5c06\u4e86\u89e3\u5982\u4f55\u89e3\u91ca\u5176\u503c\u3002<\/p>\n<p>\u901a\u5e38\uff0c\u8c03\u6574\u540e\u7684\u51b3\u5b9a\u7cfb\u6570\u7684\u503c\u5728 0 \u5230 1 \u4e4b\u95f4\uff0c\u4f46\u901a\u5e38\u4ee5\u767e\u5206\u6bd4\u8868\u793a\uff0c\u6700\u5c0f\u503c\u4e3a 0%\uff0c\u6700\u5927\u503c\u4e3a 100%\u3002<\/p>\n<p>\u5173\u4e8e<strong>\u8c03\u6574\u51b3\u5b9a\u7cfb\u6570\u7684\u89e3\u91ca<\/strong>\uff0c\u5176\u503c\u8d8a\u9ad8\uff0c\u56de\u5f52\u6a21\u578b\u5bf9\u6570\u636e\u6837\u672c\u7684\u89e3\u91ca\u8d8a\u597d\u3002\u6362\u53e5\u8bdd\u8bf4\uff0c\u8c03\u6574\u540e\u7684\u51b3\u5b9a\u7cfb\u6570\u8d8a\u63a5\u8fd11\uff0c\u6a21\u578b\u5c31\u8d8a\u597d\u3002\u53e6\u4e00\u65b9\u9762\uff0c\u5b83\u8d8a\u63a5\u8fd1 0\uff0c\u751f\u6210\u7684\u56de\u5f52\u6a21\u578b\u7684\u53ef\u9760\u6027\u5c31\u8d8a\u4f4e\u3002<\/p>\n<p>\u540c\u6837\uff0c\u5fc5\u987b\u8bb0\u4f4f\uff0c\u83b7\u5f97\u7684\u56de\u5f52\u6a21\u578b\u6ee1\u8db3\u5148\u524d\u7684\u5047\u8bbe\u3002\u4f8b\u5982\uff0c\u5982\u679c\u6b8b\u5dee\u7684\u53d8\u5f02\u6027\u4e0d\u662f\u6052\u5b9a\u7684\uff08\u540c\u65b9\u5dee\u6027\uff09\uff0c\u90a3\u4e48\u5177\u6709\u975e\u5e38\u9ad8\u7684\u8c03\u6574\u786e\u5b9a\u7cfb\u6570\u7684\u6a21\u578b\u5c31\u6beb\u65e0\u7528\u5904\uff0c\u56e0\u4e3a\u5b83\u4e0d\u6ee1\u8db3\u5176\u5148\u524d\u7684\u5047\u8bbe\u4e4b\u4e00\u3002<\/p>\n<p>\u4e00\u822c\u6765\u8bf4\uff0c\u56de\u5f52\u6a21\u578b\u7684\u81ea\u53d8\u91cf\u8d8a\u591a\uff0c\u5373\u4f7f\u53d8\u91cf\u4e0d\u663e\u7740\uff0c\u672a\u8c03\u6574\u7684\u56de\u5f52\u7cfb\u6570\u4e5f\u8d8a\u9ad8\u3002\u7136\u800c\uff0c\u56de\u5f52\u6a21\u578b\u6709\u5f88\u591a\u53d8\u91cf\u5e76\u4e0d\u91cd\u8981\uff0c\u56e0\u4e3a\u8fd9\u4f1a\u4f7f\u6a21\u578b\u53ca\u5176\u5206\u6790\u53d8\u5f97\u590d\u6742\u3002<\/p>\n<p>\u8c03\u6574\u540e\u7684\u51b3\u5b9a\u7cfb\u6570\u89e3\u51b3\u4e86\u8fd9\u4e2a\u95ee\u9898\u3002\u901a\u8fc7\u5bf9\u5305\u542b\u7684\u6bcf\u4e2a\u53d8\u91cf\u8fdb\u884c\u60e9\u7f5a\uff0c\u8fd9\u4f7f\u6211\u4eec\u80fd\u591f\u6bd4\u8f83\u5177\u6709\u4e0d\u540c\u6570\u91cf\u53d8\u91cf\u7684\u591a\u4e2a\u6a21\u578b\uff0c\u5e76\u9009\u62e9\u6211\u4eec\u6700\u611f\u5174\u8da3\u7684\u6a21\u578b\u3002\u56e0\u6b64\uff0c\u901a\u5e38\u4f7f\u7528\u8c03\u6574\u540e\u7684\u51b3\u5b9a\u7cfb\u6570\u4ee3\u66ff\u7b80\u5355\u7684\u51b3\u5b9a\u7cfb\u6570\u6765\u8fdb\u884c\u4e0d\u540c\u56de\u5f52\u6a21\u578b\u4e4b\u95f4\u7684\u6bd4\u8f83\u3002 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src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-c3ced6a195dc48de5d6296d0bdf1e2d9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"R^2= \" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"39\" style=\"vertical-align: 0px;\"><\/p>\n<p><\/span> <input name=\"r\" style=\"border:1.5px solid #4FC3F7; border-radius:5px;  padding:7px; color:#000000; background-color:#EBF5FB; width:60px\" placeholder=\"0.7418\" required=\"\" oninvalid=\"this.setCustomValidity('Introduce el coeficiente de determinaci\u00f3n sin ajustar aqu\u00ed')\" oninput=\"this.setCustomValidity('')\"><\/div>\n<div style=\"margin-bottom:20px; margin-left:5%\"> <span style=\"color:#101010;font-weight: normal;\"><span style=\"color:#1C2C92\"><strong>\u27a4<\/strong><\/span>\u6837\u672c\u91cf<span style=\"color:#1C2C92\"><strong>\u2192<\/strong><\/span><\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" 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