{"id":784,"date":"2023-07-28T18:44:38","date_gmt":"2023-07-28T18:44:38","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e4%ba%8c%e6%ac%a1%e5%9b%9e%e5%bd%92-r\/"},"modified":"2023-07-28T18:44:38","modified_gmt":"2023-07-28T18:44:38","slug":"%e4%ba%8c%e6%ac%a1%e5%9b%9e%e5%bd%92-r","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e4%ba%8c%e6%ac%a1%e5%9b%9e%e5%bd%92-r\/","title":{"rendered":"\u5982\u4f55\u5728 r \u4e2d\u6267\u884c\u4e8c\u6b21\u56de\u5f52"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u5f53\u4e24\u4e2a\u53d8\u91cf\u5b58\u5728\u7ebf\u6027\u5173\u7cfb\u65f6\uff0c\u6211\u4eec\u901a\u5e38\u53ef\u4ee5\u4f7f\u7528<a href=\"https:\/\/statorials.org\/cn\/r-\u4e2d\u7684\u7b80\u5355\u7ebf\u6027\u56de\u5f52\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u7b80\u5355\u7ebf\u6027\u56de\u5f52<\/a>\u6765\u91cf\u5316\u5b83\u4eec\u7684\u5173\u7cfb\u3002<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-5772 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/quadregstata1.png\" sizes=\"auto, \" srcset=\"\" alt=\"\u7ebf\u6027\u5173\u7cfb\u793a\u4f8b\" width=\"442\" height=\"318\"><\/p>\n<p><span style=\"color: #000000;\">\u7136\u800c\uff0c\u5f53\u4e24\u4e2a\u53d8\u91cf\u5b58\u5728\u4e8c\u6b21\u5173\u7cfb\u65f6\uff0c\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528<strong>\u4e8c\u6b21\u56de\u5f52<\/strong>\u6765\u91cf\u5316\u5b83\u4eec\u7684\u5173\u7cfb\u3002<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-5773 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/quadregstata2.png\" sizes=\"auto, \" srcset=\"\" alt=\"\u4e8c\u6b21\u5173\u7cfb\u793a\u4f8b\" width=\"441\" height=\"319\"><\/p>\n<p><span style=\"color: #000000;\">\u672c\u6559\u7a0b\u4ecb\u7ecd\u5982\u4f55\u5728 R \u4e2d\u6267\u884c\u4e8c\u6b21\u56de\u5f52\u3002<\/span><\/p>\n<h3><strong>\u793a\u4f8b\uff1aR \u4e2d\u7684\u4e8c\u6b21\u56de\u5f52<\/strong><\/h3>\n<p><span style=\"color: #000000;\">\u5047\u8bbe\u6211\u4eec\u60f3\u4e86\u89e3\u5de5\u4f5c\u65f6\u95f4\u4e0e\u5e78\u798f\u611f\u4e4b\u95f4\u7684\u5173\u7cfb\u3002\u6211\u4eec\u6709\u4ee5\u4e0b\u5173\u4e8e 11 \u540d\u4e0d\u540c\u7684\u4eba\u6bcf\u5468\u5de5\u4f5c\u65f6\u6570\u548c\u62a5\u544a\u7684\u5e78\u798f\u7a0b\u5ea6\uff08\u8303\u56f4\u4e3a 0 \u5230 100\uff09\u7684\u6570\u636e\uff1a<\/span> <\/p>\n<p data-slot-rendered-dynamic=\"true\"><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-6954 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/quadti1.png\" sizes=\"auto, \" srcset=\"\" alt=\"\" width=\"150\" height=\"248\"><\/p>\n<p><span style=\"color: #000000;\">\u4f7f\u7528\u4ee5\u4e0b\u6b65\u9aa4\u5728 R \u4e2d\u62df\u5408\u4e8c\u6b21\u56de\u5f52\u6a21\u578b\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u7b2c 1 \u6b65\uff1a\u8f93\u5165\u6570\u636e\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u9996\u5148\uff0c\u6211\u4eec\u5c06\u521b\u5efa\u4e00\u4e2a\u5305\u542b\u6570\u636e\u7684\u6570\u636e\u6846\uff1a<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#createdata<\/span>\ndata &lt;- data.frame(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;\">\n#viewdata<\/span> \ndata\n\n   hours happiness\n1 6 14\n2 9 28\n3 12 50\n4 14 70\n5 30 89\n6 35 94\n7 40 90\n8 47 75\n9 51 59\n10 55 44\n11 60 27\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\"><strong>\u7b2c 2 \u6b65\uff1a\u53ef\u89c6\u5316\u6570\u636e\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u63a5\u4e0b\u6765\uff0c\u6211\u4eec\u5c06\u521b\u5efa\u4e00\u4e2a\u7b80\u5355\u7684\u6563\u70b9\u56fe\u6765\u53ef\u89c6\u5316\u6570\u636e\u3002<\/span> <\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create scatterplot<\/span>\nplot(data$hours, data$happiness, pch=16)<\/strong> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-8616 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/quadratiquer1.png\" alt=\"R \u4e2d\u7684\u6563\u70b9\u56fe\" width=\"370\" height=\"336\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u53ef\u4ee5\u6e05\u695a\u5730\u770b\u5230\u6570\u636e\u4e0d\u9075\u5faa\u7ebf\u6027\u6a21\u5f0f\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u6b65\u9aa4 3\uff1a\u62df\u5408\u4e00\u4e2a\u7b80\u5355\u7684\u7ebf\u6027\u56de\u5f52\u6a21\u578b\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u63a5\u4e0b\u6765\uff0c\u6211\u4eec\u5c06\u62df\u5408\u4e00\u4e2a\u7b80\u5355\u7684\u7ebf\u6027\u56de\u5f52\u6a21\u578b\uff0c\u770b\u770b\u5b83\u4e0e\u6570\u636e\u7684\u62df\u5408\u7a0b\u5ea6\u5982\u4f55\uff1a<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#fit linear model<\/span>\nlinearModel &lt;- lm(happiness ~ hours, data=data)\n\n<span style=\"color: #008080;\">#view model summary<\/span>\nsummary(linearModel)\n\nCall:\nlm(formula = happiness ~ hours)\n\nResiduals:\n   Min 1Q Median 3Q Max \n-39.34 -21.99 -2.03 23.50 35.11 \n\nCoefficients:\n            Estimate Std. Error t value Pr(&gt;|t|)  \n(Intercept) 48.4531 17.3288 2.796 0.0208 *\nhours 0.2981 0.4599 0.648 0.5331  \n---\nSignificant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n\nResidual standard error: 28.72 on 9 degrees of freedom\nMultiple R-squared: 0.0446, Adjusted R-squared: -0.06156 \nF-statistic: 0.4201 on 1 and 9 DF, p-value: 0.5331\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u5982\u591a\u91cd R \u5e73\u65b9\u503c\u6240\u793a\uff0c\u6a21\u578b\u89e3\u91ca\u7684\u5e78\u798f\u611f\u603b\u65b9\u5dee\u4ec5\u4e3a<strong>4.46%<\/strong> \u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u6b65\u9aa4 4\uff1a\u62df\u5408\u4e8c\u6b21\u56de\u5f52\u6a21\u578b\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u63a5\u4e0b\u6765\uff0c\u6211\u4eec\u5c06\u62df\u5408\u4e8c\u6b21\u56de\u5f52\u6a21\u578b\u3002<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create a new variable for hours <sup>2<\/sup><\/span>\ndata$hours2 &lt;- data$hours^2\n\n<span style=\"color: #008080;\">#fit quadratic regression model<\/span>\nquadraticModel &lt;- lm(happiness ~ hours + hours2, data=data)\n\n<span style=\"color: #008080;\">#view model summary\n<\/span>summary(quadraticModel)\n\nCall:\nlm(formula = happiness ~ hours + hours2, data = data)\n\nResiduals:\n    Min 1Q Median 3Q Max \n-6.2484 -3.7429 -0.1812 1.1464 13.6678 \n\nCoefficients:\n             Estimate Std. Error t value Pr(&gt;|t|)    \n(Intercept) -18.25364 6.18507 -2.951 0.0184 *  \nhours 6.74436 0.48551 13.891 6.98e-07 ***\nhours2 -0.10120 0.00746 -13.565 8.38e-07 ***\n---\nSignificant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n\nResidual standard error: 6.218 on 8 degrees of freedom\nMultiple R-squared: 0.9602, Adjusted R-squared: 0.9502 \nF-statistic: 96.49 on 2 and 8 DF, p-value: 2.51e-06\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u6a21\u578b\u89e3\u91ca\u7684\u5e78\u798f\u611f\u603b\u65b9\u5dee\u589e\u52a0\u81f3<b>96.02%<\/b> \u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u4ee5\u4e0b\u4ee3\u7801\u6765\u53ef\u89c6\u5316\u6a21\u578b\u4e0e\u6570\u636e\u7684\u62df\u5408\u7a0b\u5ea6\uff1a<\/span> <\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create sequence of hour values<\/span>\nhourValues &lt;- seq(0, 60, 0.1)\n\n<span style=\"color: #008080;\">#create list of predicted happiness levels using quadratic model\n<\/span>happinessPredict &lt;- predict(quadraticModel, list(hours=hourValues, hours2=hourValues^2))\n\n<span style=\"color: #008080;\">#create scatterplot of original data values\n<\/span>plot(data$hours, data$happiness, pch=16)\n<span style=\"color: #008080;\">#add predicted lines based on quadratic regression model<\/span>\nlines(hourValues, happinessPredict, col='blue')\n<\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-8619 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/quadratiquer2.png\" alt=\"R \u4e2d\u7684\u4e8c\u6b21\u56de\u5f52\u6563\u70b9\u56fe\" width=\"399\" height=\"368\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u53ef\u4ee5\u770b\u5230\u4e8c\u6b21\u56de\u5f52\u7ebf\u4e0e\u6570\u636e\u503c\u62df\u5408\u5f97\u76f8\u5f53\u597d\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u6b65\u9aa4 5\uff1a\u89e3\u91ca\u4e8c\u6b21\u56de\u5f52\u6a21\u578b\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u5728\u4e0a\u4e00\u6b65\u4e2d\uff0c\u6211\u4eec\u770b\u5230\u4e8c\u6b21\u56de\u5f52\u6a21\u578b\u7684\u7ed3\u679c\u662f\uff1a<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong>Coefficients:\n             Estimate Std. Error t value Pr(&gt;|t|)    \n(Intercept) -18.25364 6.18507 -2.951 0.0184 *  \nhours 6.74436 0.48551 13.891 6.98e-07 ***\nhours2 -0.10120 0.00746 -13.565 8.38e-07 ***\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u6839\u636e\u6b64\u5904\u63d0\u4f9b\u7684\u7cfb\u6570\uff0c\u8c03\u6574\u540e\u7684\u4e8c\u6b21\u56de\u5f52\u5c06\u662f\uff1a<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u5e78\u798f = -0.1012\uff08\u5c0f\u65f6\uff09 <sup>2<\/sup> + 6.7444\uff08\u5c0f\u65f6\uff09\u2013 18.2536<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u8fd9\u4e2a\u65b9\u7a0b\u6765\u8ba1\u7b97\u4e00\u4e2a\u4eba\u5728\u6bcf\u5468\u5de5\u4f5c\u65f6\u6570\u7684\u60c5\u51b5\u4e0b\u7684\u9884\u671f\u5e78\u798f\u611f\u3002<\/span><\/p>\n<p data-slot-rendered-dynamic=\"true\"><span style=\"color: #000000;\">\u4f8b\u5982\uff0c\u4e00\u4e2a\u6bcf\u5468\u5de5\u4f5c 60 \u5c0f\u65f6\u7684\u4eba\u7684\u5e78\u798f\u6307\u6570\u4e3a<strong>22.09<\/strong> \uff1a<\/span><\/p>\n<p data-slot-rendered-dynamic=\"true\"><span style=\"color: #000000;\">\u5e78\u798f = -0.1012(60) <sup>2<\/sup> + 6.7444(60) \u2013 18.2536 = 22.09<\/span><\/p>\n<p><span style=\"color: #000000;\">\u76f8\u53cd\uff0c\u6bcf\u5468\u5de5\u4f5c 30 \u5c0f\u65f6\u7684\u4eba\u7684\u5e78\u798f\u6307\u6570\u5e94\u8be5\u4e3a<strong>92.99<\/strong> \uff1a<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5e78\u798f = -0.1012(30) <sup>2<\/sup> + 6.7444(30) \u2013 18.2536 = 92.99<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5f53\u4e24\u4e2a\u53d8\u91cf\u5b58\u5728\u7ebf\u6027\u5173\u7cfb\u65f6\uff0c\u6211\u4eec\u901a\u5e38\u53ef\u4ee5\u4f7f\u7528\u7b80\u5355\u7ebf\u6027\u56de\u5f52\u6765\u91cf\u5316\u5b83\u4eec\u7684\u5173\u7cfb\u3002 \u7136\u800c\uff0c\u5f53\u4e24\u4e2a\u53d8\u91cf\u5b58\u5728\u4e8c\u6b21\u5173\u7cfb\u65f6\uff0c\u6211\u4eec [&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-784","post","type-post","status-publish","format-standard","hentry","category-11"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - 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