{"id":3812,"date":"2023-07-15T10:08:32","date_gmt":"2023-07-15T10:08:32","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e5%bc%af%e6%9b%b2%e6%ae%8b%e7%95%99%e7%97%95%e8%bf%b9\/"},"modified":"2023-07-15T10:08:32","modified_gmt":"2023-07-15T10:08:32","slug":"%e5%bc%af%e6%9b%b2%e6%ae%8b%e7%95%99%e7%97%95%e8%bf%b9","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e5%bc%af%e6%9b%b2%e6%ae%8b%e7%95%99%e7%97%95%e8%bf%b9\/","title":{"rendered":"\u5982\u4f55\u89e3\u91ca\u66f2\u7ebf\u6b8b\u5dee\u56fe\uff08\u4e3e\u4f8b\uff09"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>\u6b8b\u5dee\u56fe<\/strong>\u7528\u4e8e\u8bc4\u4f30\u56de\u5f52\u6a21\u578b\u7684<a href=\"https:\/\/statorials.org\/cn\/\u6b8b\u7559\u7269\/\" target=\"_blank\" rel=\"noopener\">\u6b8b\u5dee<\/a>\u662f\u5426\u5448\u6b63\u6001\u5206\u5e03\u4ee5\u53ca\u5b83\u4eec\u662f\u5426\u8868\u73b0\u51fa<a href=\"https:\/\/statorials.org\/cn\/\u7edf\u8ba1\u5b66\u4ee5\u7b80\u5355\u76f4\u63a5\u7684\u65b9\u5f0f\u89e3\u91ca\u6982\u5ff5\uff0c\u6211\u4eec\u4f7f\u5b66\u4e60\u7edf\u8ba1\u53d8\u5f97\u66f4\u5bb9\u6613\/\" target=\"_blank\" rel=\"noopener\">\u5f02\u65b9\u5dee\u6027<\/a>\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u7406\u60f3\u60c5\u51b5\u4e0b\uff0c\u60a8\u5e0c\u671b\u6b8b\u5dee\u56fe\u4e2d\u7684\u70b9\u968f\u673a\u5206\u6563\u5728\u96f6\u503c\u5468\u56f4\uff0c\u6ca1\u6709\u6e05\u6670\u7684\u6a21\u5f0f\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5982\u679c\u60a8\u9047\u5230\u6b8b\u5dee\u56fe\uff0c\u5176\u4e2d\u56fe\u70b9\u5177\u6709\u66f2\u7ebf\u56fe\u6848\uff0c\u5219\u53ef\u80fd\u610f\u5473\u7740\u60a8\u4e3a\u6570\u636e\u6307\u5b9a\u7684\u56de\u5f52\u6a21\u578b\u4e0d\u6b63\u786e\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5728\u5927\u591a\u6570\u60c5\u51b5\u4e0b\uff0c\u8fd9\u610f\u5473\u7740\u60a8\u5c1d\u8bd5\u5c06\u7ebf\u6027\u56de\u5f52\u6a21\u578b\u62df\u5408\u5230\u9075\u5faa\u4e8c\u6b21\u8d8b\u52bf\u7684\u6570\u636e\u96c6\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u793a\u4f8b\u5c55\u793a\u4e86\u5982\u4f55\u5728\u5b9e\u8df5\u4e2d\u89e3\u91ca\uff08\u5e76\u7ea0\u6b63\uff09\u66f2\u7ebf\u6b8b\u5dee\u56fe\u3002<\/span><\/p>\n<h2><strong>\u793a\u4f8b\uff1a\u89e3\u91ca\u66f2\u7ebf\u6b8b\u5dee\u56fe<\/strong><\/h2>\n<p><span style=\"color: #000000;\">\u5047\u8bbe\u6211\u4eec\u6536\u96c6\u529e\u516c\u5ba4 11 \u540d\u4e0d\u540c\u4eba\u5458\u6bcf\u5468\u5de5\u4f5c\u65f6\u6570\u548c\u62a5\u544a\u7684\u5e78\u798f\u7a0b\u5ea6\uff08\u8303\u56f4\u4e3a 0 \u5230 100\uff09\u7684\u4ee5\u4e0b\u6570\u636e\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-6954 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/quadti1.png\" alt=\"\" width=\"163\" height=\"270\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u5982\u679c\u6211\u4eec\u521b\u5efa\u4e00\u4e2a\u7b80\u5355\u7684\u5de5\u4f5c\u65f6\u95f4\u4e0e\u5e78\u798f\u6c34\u5e73\u7684\u6563\u70b9\u56fe\uff0c\u5b83\u4f1a\u662f\u8fd9\u6837\u7684\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-30896 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/courbe1.jpg\" alt=\"\" width=\"571\" height=\"354\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u73b0\u5728\u5047\u8bbe\u6211\u4eec\u60f3\u8981\u4f7f\u7528\u5de5\u4f5c\u65f6\u95f4\u6765\u62df\u5408\u56de\u5f52\u6a21\u578b\u6765\u9884\u6d4b\u5e78\u798f\u6c34\u5e73\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u4ee3\u7801\u5c55\u793a\u4e86\u5982\u4f55\u5c06<strong>\u7b80\u5355\u7684\u7ebf\u6027\u56de\u5f52\u6a21\u578b<\/strong>\u62df\u5408\u5230\u8be5\u6570\u636e\u96c6\u5e76\u5728 R \u4e2d\u751f\u6210\u6b8b\u5dee\u56fe\uff1a<\/span> <\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008080;\">#create dataframe\n<\/span>df &lt;- data. <span style=\"color: #3366ff;\">frame<\/span> (hours=c(6, 9, 12, 14, 30, 35, 40, 47, 51, 55, 60),\n                 happiness=c(14, 28, 50, 70, 89, 94, 90, 75, 59, 44, 27))\n<span style=\"color: #008080;\">#fit linear regression model\n<\/span>linear_model &lt;- lm(happiness ~ hours, data=df)\n\n<span style=\"color: #008080;\">#get list of residuals \n<\/span>res &lt;- resid(linear_model)\n\n<span style=\"color: #008080;\">#produce residual vs. fitted plot\n<\/span>plot(fitted(linear_model), res, xlab=' <span style=\"color: #ff0000;\">Fitted Values<\/span> ', ylab=' <span style=\"color: #ff0000;\">Residuals<\/span> ')\n\n<span style=\"color: #008080;\">#add a horizontal line at 0 \n<\/span>abline(0,0)\n<\/strong><\/span><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-30897\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/courbe2.jpg\" alt=\"\u6b8b\u5dee\u66f2\u7ebf\" width=\"475\" height=\"435\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">x \u8f74\u663e\u793a\u62df\u5408\u503c\uff0cy \u8f74\u663e\u793a\u6b8b\u5dee\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4ece\u56fe\u4e2d\uff0c\u6211\u4eec\u53ef\u4ee5\u770b\u5230\u6b8b\u5dee\u4e2d\u5b58\u5728\u66f2\u7ebf\u6a21\u5f0f\uff0c\u8868\u660e\u7ebf\u6027\u56de\u5f52\u6a21\u578b\u65e0\u6cd5\u5bf9\u8be5\u6570\u636e\u96c6\u63d0\u4f9b\u5408\u9002\u7684\u62df\u5408\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u4ee3\u7801\u5c55\u793a\u4e86\u5982\u4f55\u5c06<strong>\u4e8c\u6b21\u56de\u5f52\u6a21\u578b<\/strong>\u62df\u5408\u5230\u8be5\u6570\u636e\u96c6\u5e76\u5728 R \u4e2d\u751f\u6210\u6b8b\u5dee\u56fe\uff1a<\/span> <\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008080;\">#create dataframe\n<\/span>df &lt;- data. <span style=\"color: #3366ff;\">frame<\/span> (hours=c(6, 9, 12, 14, 30, 35, 40, 47, 51, 55, 60),\n                 happiness=c(14, 28, 50, 70, 89, 94, 90, 75, 59, 44, 27))\n<span style=\"color: #008080;\">#define quadratic term to use in model\n<span style=\"color: #000000;\">df$hours2 &lt;- df$hours^2\n\n<span style=\"color: #008080;\">#fit quadratic regression model\n<\/span>quadratic_model &lt;- lm(happiness ~ hours + hours2, data=df)\n\n<span style=\"color: #008080;\">#get list of residuals \n<\/span>res &lt;- resid(quadratic_model)\n\n<span style=\"color: #008080;\">#produce residual vs. fitted plot\n<\/span>plot(fitted(quadratic_model), res, xlab=' <span style=\"color: #ff0000;\">Fitted Values<\/span> ', ylab=' <span style=\"color: #ff0000;\">Residuals<\/span> ')\n\n<span style=\"color: #008080;\">#add a horizontal line at 0 \n<\/span>abline(0,0)<\/span><\/span><\/strong><\/span> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-30898 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/courbe3.jpg\" alt=\"\" width=\"477\" height=\"437\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u518d\u6b21\uff0cx \u8f74\u663e\u793a\u62df\u5408\u503c\uff0cy \u8f74\u663e\u793a\u6b8b\u5dee\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4ece\u56fe\u4e2d\u6211\u4eec\u53ef\u4ee5\u770b\u5230\u6b8b\u5dee\u968f\u673a\u5206\u6563\u5728\u96f6\u9644\u8fd1\uff0c\u5e76\u4e14\u6b8b\u5dee\u6ca1\u6709\u660e\u663e\u7684\u8d8b\u52bf\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8fd9\u544a\u8bc9\u6211\u4eec\uff0c\u4e8c\u6b21\u56de\u5f52\u6a21\u578b\u6bd4\u7ebf\u6027\u56de\u5f52\u6a21\u578b\u5728\u62df\u5408\u8be5\u6570\u636e\u96c6\u65b9\u9762\u505a\u5f97\u66f4\u597d\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u9274\u4e8e\u6211\u4eec\u770b\u5230\u5de5\u4f5c\u65f6\u95f4\u548c\u5e78\u798f\u6c34\u5e73\u4e4b\u95f4\u7684\u771f\u6b63\u5173\u7cfb\u4f3c\u4e4e\u662f\u4e8c\u6b21\u65b9\u800c\u4e0d\u662f\u7ebf\u6027\u5173\u7cfb\uff0c\u8fd9\u5e94\u8be5\u662f\u6709\u9053\u7406\u7684\u3002<\/span><\/p>\n<h2><span style=\"color: #000000;\"><strong>\u5176\u4ed6\u8d44\u6e90<\/strong><\/span><\/h2>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u6559\u7a0b\u89e3\u91ca\u4e86\u5982\u4f55\u4f7f\u7528\u4e0d\u540c\u7684\u7edf\u8ba1\u8f6f\u4ef6\u521b\u5efa\u6b8b\u5dee\u56fe\uff1a<\/span><\/p>\n<p><a href=\"https:\/\/statorials.org\/cn\/\u624b\u5de5\u6b8b\u7559\u56fe\u5f62\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u624b\u52a8\u521b\u5efa\u6b8b\u7559\u8def\u5f84<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/\u6b8b\u7559\u75d5\u91cf\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u5728 R \u4e2d\u521b\u5efa\u6b8b\u5dee\u56fe<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/\u5982\u4f55\u5728excel\u4e2d\u521b\u5efa\u6b8b\u7559\u75d5\u8ff9\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u5728 Excel \u4e2d\u521b\u5efa\u6b8b\u5dee\u56fe<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/python-\u6b8b\u5dee\u56fe\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u5728 Python \u4e2d\u521b\u5efa\u6b8b\u5dee\u56fe<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u6b8b\u5dee\u56fe\u7528\u4e8e\u8bc4\u4f30\u56de\u5f52\u6a21\u578b\u7684\u6b8b\u5dee\u662f\u5426\u5448\u6b63\u6001\u5206\u5e03\u4ee5\u53ca\u5b83\u4eec\u662f\u5426\u8868\u73b0\u51fa\u5f02\u65b9\u5dee\u6027\u3002 \u7406\u60f3\u60c5\u51b5\u4e0b\uff0c\u60a8\u5e0c\u671b\u6b8b\u5dee\u56fe\u4e2d\u7684\u70b9\u968f\u673a\u5206\u6563 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[],"class_list":["post-3812","post","type-post","status-publish","format-standard","hentry","category-11"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u5982\u4f55\u89e3\u91ca\u66f2\u7ebf\u6b8b\u5dee\u56fe\uff08\u4e3e\u4f8b\uff09 - Statorials<\/title>\n<meta name=\"description\" content=\"\u672c\u6559\u7a0b\u901a\u8fc7\u793a\u4f8b\u89e3\u91ca\u5982\u4f55\u89e3\u91ca\u66f2\u7ebf\u6b8b\u5dee\u56fe\u3002\" \/>\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\/cn\/\u5f2f\u66f2\u6b8b\u7559\u75d5\u8ff9\/\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta 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