{"id":2520,"date":"2023-07-21T22:18:27","date_gmt":"2023-07-21T22:18:27","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e4%bb%8e%e5%8e%9f%e7%82%b9%e5%9b%9e%e5%bd%92\/"},"modified":"2023-07-21T22:18:27","modified_gmt":"2023-07-21T22:18:27","slug":"%e4%bb%8e%e5%8e%9f%e7%82%b9%e5%9b%9e%e5%bd%92","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e4%bb%8e%e5%8e%9f%e7%82%b9%e5%9b%9e%e5%bd%92\/","title":{"rendered":"\u901a\u8fc7\u539f\u70b9\u56de\u5f52\uff1a\u5b9a\u4e49\u548c\u793a\u4f8b"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u7b80\u5355\u7ebf\u6027\u56de\u5f52\u662f\u4e00\u79cd\u53ef\u7528\u4e8e\u91cf\u5316\u4e00\u4e2a\u6216\u591a\u4e2a\u9884\u6d4b\u53d8\u91cf\u4e0e<a href=\"https:\/\/statorials.org\/cn\/\u53d8\u91cf\u89e3\u91ca\u6027\u53cd\u5e94\/\" target=\"_blank\" rel=\"noopener\">\u54cd\u5e94\u53d8\u91cf<\/a>\u4e4b\u95f4\u5173\u7cfb\u7684\u65b9\u6cd5\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u7b80\u5355\u7684\u7ebf\u6027\u56de\u5f52\u6a21\u578b\u91c7\u7528\u4ee5\u4e0b\u5f62\u5f0f\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>y = \u03b2 <sub>0<\/sub> + \u03b2 <sub>1<\/sub> x<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u91d1\u5b50\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>y<\/strong> \uff1a\u54cd\u5e94\u53d8\u91cf\u7684\u503c<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>\u03b2 <sub>0<\/sub><\/strong> \uff1ax = 0 \u65f6\u54cd\u5e94\u53d8\u91cf\u7684\u503c\uff08\u79f0\u4e3a\u201c\u622a\u8ddd\u201d\u9879\uff09<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u03b2 <sub>1<\/sub><\/strong> \uff1a\u4e0e x \u589e\u52a0 1 \u4e2a\u5355\u4f4d\u76f8\u5173\u7684\u54cd\u5e94\u53d8\u91cf\u7684\u5e73\u5747\u589e\u52a0<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>x<\/strong> \uff1a\u9884\u6d4b\u53d8\u91cf\u7684\u503c<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u8be5\u6a21\u578b\u7684\u4fee\u6539\u7248\u672c\u79f0\u4e3a<strong>\u539f\u70b9\u56de\u5f52<\/strong>\uff0c\u5f53 x \u7b49\u4e8e 0 \u65f6\uff0c\u5b83\u5f3a\u5236 y \u7b49\u4e8e 0\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8fd9\u79cd\u7c7b\u578b\u7684\u6a21\u578b\u91c7\u7528\u4ee5\u4e0b\u5f62\u5f0f\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>y = <sub>\u03b21x<\/sub><\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u8bf7\u6ce8\u610f\uff0c\u622a\u8ddd\u9879\u5df2\u4ece\u6a21\u578b\u4e2d\u5b8c\u5168\u5220\u9664\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5f53\u7814\u7a76\u4eba\u5458\u77e5\u9053\u5f53\u9884\u6d4b\u53d8\u91cf\u4e3a\u96f6\u65f6\u54cd\u5e94\u53d8\u91cf\u5fc5\u987b\u4e3a\u96f6\u65f6\uff0c\u6709\u65f6\u4f1a\u4f7f\u7528\u6b64\u6a21\u578b\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5728\u73b0\u5b9e\u4e16\u754c\u4e2d\uff0c\u6b64\u7c7b\u6a21\u578b\u6700\u5e38\u7528\u4e8e<a href=\"https:\/\/esajournals.onlinelibrary.wiley.com\/doi\/full\/10.1002\/ecy.1660\" target=\"_blank\" rel=\"noopener\">\u6797\u4e1a\u6216\u751f\u6001\u7814\u7a76<\/a>\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4f8b\u5982\uff0c\u7814\u7a76\u4eba\u5458\u53ef\u4ee5\u4f7f\u7528\u6811\u5468\u957f\u6765\u9884\u6d4b\u6811\u9ad8\u3002\u5982\u679c\u7ed9\u5b9a\u7684\u6811\u7684\u5468\u957f\u4e3a\u96f6\uff0c\u5219\u5b83\u7684\u9ad8\u5ea6\u4e5f\u5fc5\u5b9a\u4e3a\u96f6\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u56e0\u6b64\uff0c\u5f53\u5bf9\u8fd9\u4e9b\u6570\u636e\u62df\u5408\u56de\u5f52\u6a21\u578b\u65f6\uff0c\u539f\u59cb\u9879\u975e\u96f6\u662f\u6ca1\u6709\u610f\u4e49\u7684\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u793a\u4f8b\u663e\u793a\u4e86\u62df\u5408\u666e\u901a\u7b80\u5355\u7ebf\u6027\u56de\u5f52\u6a21\u578b\u548c\u901a\u8fc7\u539f\u70b9\u5b9e\u73b0\u56de\u5f52\u7684\u6a21\u578b\u4e4b\u95f4\u7684\u5dee\u5f02\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u793a\u4f8b\uff1a\u901a\u8fc7\u539f\u70b9\u56de\u5f52<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u5047\u8bbe\u751f\u7269\u5b66\u5bb6\u60f3\u8981\u4f7f\u7528\u6811\u5468\u957f\u6765\u62df\u5408\u56de\u5f52\u6a21\u578b\u6765\u9884\u6d4b\u6811\u9ad8\u3002\u5979\u51fa\u53bb\u6536\u96c6\u4e86 15 \u68f5\u6811\u6837\u672c\u7684\u4ee5\u4e0b\u6d4b\u91cf\u503c\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-22430 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/origine1-1.jpg\" alt=\"\" width=\"305\" height=\"377\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u53ef\u4ee5\u5728 R \u4e2d\u4f7f\u7528\u4ee5\u4e0b\u4ee3\u7801\u6765\u62df\u5408\u4e00\u4e2a\u7b80\u5355\u7684\u7ebf\u6027\u56de\u5f52\u6a21\u578b\u548c\u4e00\u4e2a\u4e0d\u4f7f\u7528\u622a\u8ddd\u7684\u56de\u5f52\u6a21\u578b\uff0c\u5e76\u7ed8\u5236\u4e24\u6761\u56de\u5f52\u7ebf\uff1a<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create data frame\n<\/span>df &lt;- data. <span style=\"color: #3366ff;\">frame<\/span> (circ=c(15, 19, 25, 39, 44, 46, 49, 54, 67, 79, 81, 84, 88, 90, 99),\n                 height=c(200, 234, 285, 375, 440, 470, 564, 544, 639, 750, 830, 854,\n                          901, 912, 989))\n\n<span style=\"color: #008080;\">#fit a simple linear regression model\n<\/span>model &lt;- lm(height ~ circ, data = df)\n\n<span style=\"color: #008080;\">#fit regression through the origin\n<\/span>model_origin &lt;- lm(height ~ 0 + ., data = df)\n\n<span style=\"color: #008080;\">#create scatterplot\n<\/span>plot(df$circ, df$height, xlab=' <span style=\"color: #ff0000;\">Circumference<\/span> ', ylab=' <span style=\"color: #ff0000;\">Height<\/span> ',\n     cex= <span style=\"color: #008000;\">1.5<\/span> , pch= <span style=\"color: #008000;\">16<\/span> , ylim=c(0.1000), xlim=c(0.100))\n\n<span style=\"color: #008080;\">#add the fitted regression lines to the scatterplot\n<\/span>abline(model, col=' <span style=\"color: #ff0000;\">blue<\/span> ', lwd= <span style=\"color: #008000;\">2<\/span> )\nabline(model_origin, lty=' <span style=\"color: #ff0000;\">dashed<\/span> ', col=' <span style=\"color: #ff0000;\">red<\/span> ', lwd= <span style=\"color: #008000;\">2<\/span> )\n<\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-22431\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/origine2.jpg\" alt=\"\u4ece\u539f\u70b9\u56de\u5f52\" width=\"586\" height=\"371\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u7ea2\u8272\u865a\u7ebf\u4ee3\u8868\u7ecf\u8fc7\u539f\u70b9\u7684\u56de\u5f52\u6a21\u578b\uff0c\u84dd\u8272\u5b9e\u7ebf\u4ee3\u8868\u666e\u901a\u7684\u7b80\u5355\u7ebf\u6027\u56de\u5f52\u6a21\u578b\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u53ef\u4ee5\u5728 R \u4e2d\u4f7f\u7528\u4ee5\u4e0b\u4ee3\u7801\u6765\u83b7\u53d6\u6bcf\u4e2a\u6a21\u578b\u7684\u7cfb\u6570\u4f30\u8ba1\uff1a<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#display coefficients for simple linear regression model\n<\/span>coef(model)\n\n(Intercept) circ \n  40.696971 9.529631 \n\n<span style=\"color: #008080;\">#display coefficients for regression model through the origin<\/span>\ncoef(model_origin)\n\n    circ \n10.10574 \n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u7b80\u5355\u7ebf\u6027\u56de\u5f52\u6a21\u578b\u7684\u62df\u5408\u65b9\u7a0b\u4e3a\uff1a<\/span><\/p>\n<p><span style=\"color: #000000;\">\u9ad8\u5ea6 = 40.6969 + 9.5296\uff08\u5468\u957f\uff09<\/span><\/p>\n<p><span style=\"color: #000000;\">\u56de\u5f52\u6a21\u578b\u901a\u8fc7\u539f\u70b9\u7684\u62df\u5408\u65b9\u7a0b\u4e3a\uff1a<\/span><\/p>\n<p><span style=\"color: #000000;\">\u9ad8\u5ea6 = 10.1057\uff08\u5468\u957f\uff09<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8bf7\u6ce8\u610f\uff0c\u5468\u957f\u53d8\u91cf\u7684\u7cfb\u6570\u4f30\u8ba1\u503c\u7565\u6709\u4e0d\u540c\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u901a\u8fc7\u539f\u70b9\u4f7f\u7528\u56de\u5f52\u7684\u6ce8\u610f\u4e8b\u9879<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u5728\u4f7f\u7528\u622a\u8ddd\u56de\u5f52\u4e4b\u524d\uff0c\u60a8\u5fc5\u987b\u7edd\u5bf9\u786e\u5b9a\u9884\u6d4b\u53d8\u91cf\u7684\u503c\u4e3a 0 \u610f\u5473\u7740\u54cd\u5e94\u53d8\u91cf\u7684\u503c\u4e3a 0\u3002\u5728\u8bb8\u591a\u60c5\u51b5\u4e0b\uff0c\u51e0\u4e4e\u4e0d\u53ef\u80fd\u786e\u5b9a\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5982\u679c\u60a8\u901a\u8fc7\u539f\u70b9\u4f7f\u7528\u56de\u5f52\u6765\u8282\u7701\u4f30\u8ba1\u539f\u70b9\u7684\u81ea\u7531\u5ea6\uff0c\u90a3\u4e48\u5982\u679c\u60a8\u7684\u6837\u672c\u91cf\u8db3\u591f\u5927\uff0c\u5219\u5f88\u5c11\u4f1a\u4ea7\u751f\u5b9e\u8d28\u6027\u5dee\u5f02\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5982\u679c\u60a8\u9009\u62e9\u901a\u8fc7\u539f\u70b9\u4f7f\u7528\u56de\u5f52\uff0c\u8bf7\u52a1\u5fc5\u5728\u6700\u7ec8\u5206\u6790\u6216\u62a5\u544a\u4e2d\u6982\u8ff0\u60a8\u7684\u63a8\u7406\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u5176\u4ed6\u8d44\u6e90<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u6559\u7a0b\u63d0\u4f9b\u6709\u5173\u7ebf\u6027\u56de\u5f52\u7684\u5176\u4ed6\u4fe1\u606f\uff1a<\/span><\/p>\n<p><a href=\"https:\/\/statorials.org\/cn\/\u7ebf\u6027\u56de\u5f521\/\" target=\"_blank\" rel=\"noopener\">\u7b80\u5355\u7ebf\u6027\u56de\u5f52\u7b80\u4ecb<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/\u591a\u5143\u7ebf\u6027\u56de\u5f52-1\/\" target=\"_blank\" rel=\"noopener\">\u591a\u5143\u7ebf\u6027\u56de\u5f52\u7b80\u4ecb<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/\u9605\u8bfb\u56de\u5f52\u89e3\u91ca\u8868\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u9605\u8bfb\u548c\u89e3\u91ca\u56de\u5f52\u8868<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u7b80\u5355\u7ebf\u6027\u56de\u5f52\u662f\u4e00\u79cd\u53ef\u7528\u4e8e\u91cf\u5316\u4e00\u4e2a\u6216\u591a\u4e2a\u9884\u6d4b\u53d8\u91cf\u4e0e\u54cd\u5e94\u53d8\u91cf\u4e4b\u95f4\u5173\u7cfb\u7684\u65b9\u6cd5\u3002 \u7b80\u5355\u7684\u7ebf\u6027\u56de\u5f52\u6a21\u578b\u91c7\u7528\u4ee5\u4e0b\u5f62\u5f0f\uff1a y [&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-2520","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>\u901a\u8fc7\u539f\u70b9\u56de\u5f52\uff1a\u5b9a\u4e49\u548c\u793a\u4f8b - Statory<\/title>\n<meta name=\"description\" content=\"\u672c\u6559\u7a0b\u901a\u8fc7\u539f\u70b9\u63d0\u4f9b\u4e86\u56de\u5f52\u7684\u89e3\u91ca\uff0c\u5305\u62ec\u6b63\u5f0f\u7684\u5b9a\u4e49\u548c\u793a\u4f8b\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\/\u4ece\u539f\u70b9\u56de\u5f52\/\" \/>\n<meta property=\"og:locale\" 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