{"id":1254,"date":"2023-07-27T03:17:05","date_gmt":"2023-07-27T03:17:05","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e8%a7%a3%e9%87%8a-r-%e4%b8%ad%e7%9a%84%e5%9b%9e%e5%bd%92%e8%be%93%e5%87%ba\/"},"modified":"2023-07-27T03:17:05","modified_gmt":"2023-07-27T03:17:05","slug":"%e8%a7%a3%e9%87%8a-r-%e4%b8%ad%e7%9a%84%e5%9b%9e%e5%bd%92%e8%be%93%e5%87%ba","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e8%a7%a3%e9%87%8a-r-%e4%b8%ad%e7%9a%84%e5%9b%9e%e5%bd%92%e8%be%93%e5%87%ba\/","title":{"rendered":"\u5982\u4f55\u89e3\u91ca r \u4e2d\u7684\u56de\u5f52\u8f93\u51fa"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u4e3a\u4e86\u5728 R \u4e2d\u62df\u5408 <a href=\"https:\/\/statorials.org\/cn\/\u591a\u5143\u7ebf\u6027\u56de\u5f52\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u7ebf\u6027\u56de\u5f52\u6a21\u578b<\/a>\uff0c\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528<strong>lm()<\/strong>\u547d\u4ee4\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4e3a\u4e86\u663e\u793a\u56de\u5f52\u6a21\u578b\u7684\u8f93\u51fa\uff0c\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528<strong>summary()<\/strong>\u547d\u4ee4\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u672c\u6559\u7a0b\u89e3\u91ca\u5982\u4f55\u89e3\u91ca R \u4e2d\u56de\u5f52\u8f93\u51fa\u7684\u6bcf\u4e2a\u503c\u3002<\/span><\/p>\n<h3><strong>\u793a\u4f8b\uff1a\u89e3\u91ca R \u4e2d\u7684\u56de\u5f52\u8f93\u51fa<\/strong><\/h3>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u4ee3\u7801\u663e\u793a\u4e86\u5982\u4f55\u4f7f\u7528<em>hp<\/em> \u3001 <em>drat<\/em>\u548c<em>wt<\/em>\u4f5c\u4e3a\u9884\u6d4b\u53d8\u91cf\u4ee5\u53ca<em>mpg<\/em>\u4f5c\u4e3a\u54cd\u5e94\u53d8\u91cf\uff0c\u5c06\u591a\u5143\u7ebf\u6027\u56de\u5f52\u6a21\u578b\u4e0e\u96c6\u6210<strong>mtcars<\/strong>\u6570\u636e\u96c6\u8fdb\u884c\u62df\u5408\uff1a<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#fit regression model using hp, drat, and wt as predictors\n<\/span>model &lt;- lm(mpg ~ hp + drat + wt, data = mtcars)\n\n<span style=\"color: #008080;\">#view model summary\n<\/span>summary(model)\n\nCall:\nlm(formula = mpg ~ hp + drat + wt, data = mtcars)\n\nResiduals:\n    Min 1Q Median 3Q Max \n-3.3598 -1.8374 -0.5099 0.9681 5.7078 \n\nCoefficients:\n             Estimate Std. Error t value Pr(&gt;|t|)    \n(Intercept) 29.394934 6.156303 4.775 5.13e-05 ***\nhp -0.032230 0.008925 -3.611 0.001178 ** \ndrat 1.615049 1.226983 1.316 0.198755    \nwt -3.227954 0.796398 -4.053 0.000364 ***\n---\nSignificant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n\nResidual standard error: 2.561 on 28 degrees of freedom\nMultiple R-squared: 0.8369, Adjusted R-squared: 0.8194 \nF-statistic: 47.88 on 3 and 28 DF, p-value: 3.768e-11\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u662f\u89e3\u91ca\u8f93\u51fa\u4e2d\u6bcf\u4e2a\u503c\u7684\u65b9\u6cd5\uff1a<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u79f0\u547c<\/strong><\/span><\/h3>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>Call:\nlm(formula = mpg ~ hp + drat + wt, data = mtcars)<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u672c\u8282\u8ba9\u6211\u4eec\u60f3\u8d77\u4e86\u56de\u5f52\u6a21\u578b\u4e2d\u4f7f\u7528\u7684\u516c\u5f0f\u3002\u6211\u4eec\u53ef\u4ee5\u770b\u5230\uff0c\u6211\u4eec\u4f7f\u7528<strong>mpg<\/strong>\u4f5c\u4e3a\u54cd\u5e94\u53d8\u91cf\uff0c\u4f7f\u7528<strong>hp<\/strong> \u3001 <strong>drat<\/strong>\u548c<strong>wt<\/strong>\u4f5c\u4e3a\u9884\u6d4b\u53d8\u91cf\u3002\u6bcf\u4e2a\u53d8\u91cf\u90fd\u6765\u81ea\u540d\u4e3a<strong>mtcars<\/strong>\u7684\u6570\u636e\u96c6\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u6b8b\u7559\u7269<\/strong><\/span><\/h3>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>Residuals:\n    Min 1Q Median 3Q Max \n-3.3598 -1.8374 -0.5099 0.9681 5.7078 \n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u672c\u90e8\u5206\u663e\u793a\u56de\u5f52\u6a21\u578b\u6b8b\u5dee\u5206\u5e03\u7684\u6458\u8981\u3002\u56de\u60f3\u4e00\u4e0b\uff0c\u6b8b\u5dee\u662f\u56de\u5f52\u6a21\u578b\u7684\u89c2\u6d4b\u503c\u548c\u9884\u6d4b\u503c\u4e4b\u95f4\u7684\u5dee\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6700\u5c0f\u6b8b\u5dee\u4e3a<strong>-3.3598<\/strong> \uff0c\u4e2d\u4f4d\u6b8b\u5dee\u4e3a<strong>-0.5099<\/strong> \uff0c\u6700\u5927\u6b8b\u5dee\u4e3a<strong>5.7078<\/strong> \u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u7cfb\u6570<\/strong><\/span><\/h3>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>Coefficients:\n             Estimate Std. Error t value Pr(&gt;|t|)    \n(Intercept) 29.394934 6.156303 4.775 5.13e-05 ***\nhp -0.032230 0.008925 -3.611 0.001178 ** \ndrat 1.615049 1.226983 1.316 0.198755    \nwt -3.227954 0.796398 -4.053 0.000364 ***\n\n---\nSignificant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u6b64\u90e8\u5206\u663e\u793a\u56de\u5f52\u6a21\u578b\u7684\u4f30\u8ba1\u7cfb\u6570\u3002\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u8fd9\u4e9b\u7cfb\u6570\u6765\u5f62\u6210\u4ee5\u4e0b\u4f30\u8ba1\u56de\u5f52\u65b9\u7a0b\uff1a<\/span><\/p>\n<p><span style=\"color: #000000;\">\u82f1\u91cc\/\u52a0\u4ed1 = 29.39 \u2013 0.03*hp + 1.62*drat \u2013 3.23*\u91cd\u91cf<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5bf9\u4e8e\u6bcf\u4e2a\u9884\u6d4b\u53d8\u91cf\uff0c\u6211\u4eec\u6536\u5230\u4ee5\u4e0b\u503c\uff1a<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u4f30\u8ba1\uff1a<\/strong>\u4f30\u8ba1\u7cfb\u6570\u3002\u8fd9\u544a\u8bc9\u6211\u4eec\uff0c\u5047\u8bbe\u6240\u6709\u5176\u4ed6\u9884\u6d4b\u53d8\u91cf\u4fdd\u6301\u4e0d\u53d8\uff0c\u5219\u4e0e\u9884\u6d4b\u53d8\u91cf\u589e\u52a0\u4e00\u5355\u4f4d\u76f8\u5173\u7684\u54cd\u5e94\u53d8\u91cf\u7684\u5e73\u5747\u589e\u52a0\u91cf\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u6807\u51c6\u3002<\/strong><strong>\u8bef\u5dee<\/strong>\uff1a\u8fd9\u662f\u7cfb\u6570\u7684\u6807\u51c6\u8bef\u5dee\u3002\u8fd9\u662f\u6211\u4eec\u5bf9\u7cfb\u6570\u4f30\u8ba1\u7684\u4e0d\u786e\u5b9a\u6027\u7684\u8861\u91cf\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>t \u503c\uff1a<\/strong>\u8fd9\u662f\u9884\u6d4b\u53d8\u91cf\u7684 t \u7edf\u8ba1\u91cf\uff0c\u8ba1\u7b97\u516c\u5f0f\u4e3a\uff08\u4f30\u8ba1\u503c\uff09\/\uff08\u6807\u51c6\u8bef\u5dee\uff09\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Pr(&gt;|t|)\uff1a<\/strong>\u8fd9\u662f\u5bf9\u5e94\u4e8e t \u7edf\u8ba1\u91cf\u7684 p \u503c\u3002\u5982\u679c\u8be5\u503c\u4f4e\u4e8e\u67d0\u4e2a alpha \u6c34\u5e73\uff08\u4f8b\u5982 0.05\uff09\uff0c\u5219\u8ba4\u4e3a\u9884\u6d4b\u53d8\u91cf\u5177\u6709\u7edf\u8ba1\u663e\u7740\u6027\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5982\u679c\u6211\u4eec\u4f7f\u7528 \u03b1 = 0.05 \u7684 alpha \u6c34\u5e73\u6765\u786e\u5b9a\u54ea\u4e9b\u9884\u6d4b\u53d8\u91cf\u5728\u6b64\u56de\u5f52\u6a21\u578b\u4e2d\u663e\u7740\uff0c\u6211\u4eec\u4f1a\u8bf4<strong>hp<\/strong>\u548c<strong>wt<\/strong>\u662f\u7edf\u8ba1\u4e0a\u663e\u7740\u7684\u9884\u6d4b\u53d8\u91cf\uff0c\u800c<strong>drat<\/strong>\u5219\u4e0d\u662f\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u6a21\u578b\u5145\u5206\u6027\u8bc4\u4f30<\/strong><\/span><\/h3>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>Residual standard error: 2.561 on 28 degrees of freedom\nMultiple R-squared: 0.8369, Adjusted R-squared: 0.8194 \nF-statistic: 47.88 on 3 and 28 DF, p-value: 3.768e-11\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u6700\u540e\u4e00\u90e8\u5206\u663e\u793a\u4e86\u5404\u79cd\u6570\u5b57\uff0c\u53ef\u5e2e\u52a9\u6211\u4eec\u8bc4\u4f30\u56de\u5f52\u6a21\u578b\u4e0e\u6570\u636e\u96c6\u7684\u62df\u5408\u7a0b\u5ea6\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u6b8b\u5dee\u6807\u51c6\u8bef\u5dee\uff1a<\/strong>\u8fd9\u544a\u8bc9\u6211\u4eec\u89c2\u6d4b\u503c\u4e0e\u56de\u5f52\u7ebf\u4e4b\u95f4\u7684\u5e73\u5747\u8ddd\u79bb\u3002\u503c\u8d8a\u5c0f\uff0c\u56de\u5f52\u6a21\u578b\u5bf9\u6570\u636e\u7684\u62df\u5408\u6548\u679c\u8d8a\u597d\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u81ea\u7531\u5ea6\u8ba1\u7b97\u4e3a nk-1\uff0c\u5176\u4e2d n = \u89c2\u6d4b\u503c\u603b\u6570\uff0ck = \u9884\u6d4b\u53d8\u91cf\u6570\u3002\u5728\u6b64\u793a\u4f8b\u4e2d\uff0cmtcars \u6709 32 \u4e2a\u89c2\u6d4b\u503c\uff0c\u6211\u4eec\u5728\u56de\u5f52\u6a21\u578b\u4e2d\u4f7f\u7528\u4e86 3 \u4e2a\u9884\u6d4b\u53d8\u91cf\uff0c\u56e0\u6b64\u81ea\u7531\u5ea6\u4e3a 32 \u2013 3 \u2013 1 = 28\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u591a\u91cd R \u5e73\u65b9\uff1a<\/strong>\u8fd9\u79f0\u4e3a\u51b3\u5b9a\u7cfb\u6570\u3002\u5b83\u544a\u8bc9\u6211\u4eec<a href=\"https:\/\/statorials.org\/cn\/\u53d8\u91cf\u89e3\u91ca\u6027\u53cd\u5e94\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u54cd\u5e94\u53d8\u91cf<\/a>\u4e2d\u7684\u65b9\u5dee\u6709\u591a\u5c11\u53ef\u4ee5\u7531\u9884\u6d4b\u53d8\u91cf\u6765\u89e3\u91ca\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8be5\u503c\u7684\u8303\u56f4\u4ece 0 \u5230 1\u3002\u8d8a\u63a5\u8fd1 1\uff0c\u9884\u6d4b\u53d8\u91cf\u5c31\u8d8a\u80fd\u591f\u9884\u6d4b\u54cd\u5e94\u53d8\u91cf\u7684\u503c\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u8c03\u6574\u540e\u7684 R \u5e73\u65b9\uff1a<\/strong>\u8fd9\u662f R \u5e73\u65b9\u7684\u4fee\u6539\u7248\u672c\uff0c\u5df2\u6839\u636e\u6a21\u578b\u4e2d\u9884\u6d4b\u53d8\u91cf\u7684\u6570\u91cf\u8fdb\u884c\u4e86\u8c03\u6574\u3002\u5b83\u603b\u662f\u5c0f\u4e8e R \u5e73\u65b9\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8c03\u6574\u540e\u7684 R \u5e73\u65b9\u53ef\u7528\u4e8e\u6bd4\u8f83\u4f7f\u7528\u4e0d\u540c\u6570\u91cf\u7684\u9884\u6d4b\u53d8\u91cf\u7684\u4e0d\u540c\u56de\u5f52\u6a21\u578b\u7684\u62df\u5408\u5ea6\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>F \u7edf\u8ba1\u91cf\uff1a<\/strong>\u6307\u793a\u56de\u5f52\u6a21\u578b\u662f\u5426\u6bd4\u4e0d\u5305\u542b\u81ea\u53d8\u91cf\u7684\u6a21\u578b\u66f4\u9002\u5408\u6570\u636e\u3002\u672c\u8d28\u4e0a\uff0c\u5b83\u6d4b\u8bd5\u6574\u4e2a\u56de\u5f52\u6a21\u578b\u662f\u5426\u6709\u7528\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>p \u503c\uff1a<\/strong>\u8fd9\u662f\u5bf9\u5e94\u4e8e F \u7edf\u8ba1\u91cf\u7684 p \u503c\u3002\u5982\u679c\u8be5\u503c\u4f4e\u4e8e\u4e00\u5b9a\u7684\u663e\u7740\u6027\u6c34\u5e73\uff08\u4f8b\u5982 0.05\uff09\uff0c\u5219\u56de\u5f52\u6a21\u578b\u6bd4\u6ca1\u6709\u9884\u6d4b\u53d8\u91cf\u7684\u6a21\u578b\u66f4\u9002\u5408\u6570\u636e\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5728\u6784\u5efa\u56de\u5f52\u6a21\u578b\u65f6\uff0c\u6211\u4eec\u5e0c\u671b\u8be5 p \u503c\u4f4e\u4e8e\u4e00\u5b9a\u7684\u663e\u7740\u6027\u6c34\u5e73\uff0c\u56e0\u4e3a\u5b83\u8868\u660e\u9884\u6d4b\u53d8\u91cf\u5b9e\u9645\u4e0a\u53ef\u7528\u4e8e\u9884\u6d4b\u54cd\u5e94\u53d8\u91cf\u7684\u503c\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u5176\u4ed6\u8d44\u6e90<\/strong><\/span><\/h3>\n<p><a href=\"https:\/\/statorials.org\/cn\/r-\u4e2d\u7684\u7b80\u5355\u7ebf\u6027\u56de\u5f52\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u5982\u4f55\u5728 R \u4e2d\u6267\u884c\u7b80\u5355\u7ebf\u6027\u56de\u5f52<\/a><br \/> <a href=\"https:\/\/statorials.org\/cn\/\u591a\u5143\u7ebf\u6027\u56de\u5f52\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u5982\u4f55\u5728 R \u4e2d\u6267\u884c\u591a\u5143\u7ebf\u6027\u56de\u5f52<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/\u826f\u597d\u7684-r-\u5e73\u65b9\u503c\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u4ec0\u4e48\u662f\u597d\u7684 R \u5e73\u65b9\u503c\uff1f<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u4e3a\u4e86\u5728 R \u4e2d\u62df\u5408 \u7ebf\u6027\u56de\u5f52\u6a21\u578b\uff0c\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528lm()\u547d\u4ee4\u3002 \u4e3a\u4e86\u663e\u793a\u56de\u5f52\u6a21\u578b\u7684\u8f93\u51fa\uff0c\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528summar [&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-1254","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 R \u4e2d\u7684\u56de\u5f52\u8f93\u51fa<\/title>\n<meta name=\"description\" content=\"\u672c\u6559\u7a0b\u901a\u8fc7\u793a\u4f8b\u89e3\u91ca\u5982\u4f55\u89e3\u91ca R \u4e2d\u56de\u5f52\u6a21\u578b\u7684\u8f93\u51fa\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\/\u89e3\u91ca-r-\u4e2d\u7684\u56de\u5f52\u8f93\u51fa\/\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" 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