{"id":1460,"date":"2023-07-26T07:21:14","date_gmt":"2023-07-26T07:21:14","guid":{"rendered":"https:\/\/statorials.org\/ja\/r-%e3%81%ab%e3%81%8a%e3%81%91%e3%82%8b%e4%b8%8d%e9%81%a9%e5%90%88%e3%83%86%e3%82%b9%e3%83%88\/"},"modified":"2023-07-26T07:21:14","modified_gmt":"2023-07-26T07:21:14","slug":"r-%e3%81%ab%e3%81%8a%e3%81%91%e3%82%8b%e4%b8%8d%e9%81%a9%e5%90%88%e3%83%86%e3%82%b9%e3%83%88","status":"publish","type":"post","link":"https:\/\/statorials.org\/ja\/r-%e3%81%ab%e3%81%8a%e3%81%91%e3%82%8b%e4%b8%8d%e9%81%a9%e5%90%88%e3%83%86%e3%82%b9%e3%83%88\/","title":{"rendered":"R \u3067\u4e0d\u9069\u5408\u30c6\u30b9\u30c8\u3092\u5b9f\u884c\u3059\u308b\u65b9\u6cd5 (\u30b9\u30c6\u30c3\u30d7\u30d0\u30a4\u30b9\u30c6\u30c3\u30d7)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>\u4e0d\u9069\u5408\u30c6\u30b9\u30c8\u306f\u3001<\/strong>\u5b8c\u5168\u306a<a href=\"https:\/\/statorials.org\/ja\/\u91cd\u7dda\u5f62\u56de\u5e30\/\" target=\"_blank\" rel=\"noopener\">\u56de\u5e30\u30e2\u30c7\u30eb\u304c<\/a>\u30e2\u30c7\u30eb\u306e\u7e2e\u5c0f\u30d0\u30fc\u30b8\u30e7\u30f3\u3088\u308a\u3082\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306b\u5bfe\u3057\u3066\u5927\u5e45\u306b\u826f\u597d\u306a\u9069\u5408\u3092\u63d0\u4f9b\u3059\u308b\u304b\u3069\u3046\u304b\u3092\u5224\u65ad\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u305f\u3068\u3048\u3070\u3001<em>\u5b66\u7fd2\u6642\u9593\u6570<\/em>\u3092\u4f7f\u7528\u3057\u3066\u3001\u7279\u5b9a\u306e\u5927\u5b66\u306e\u5b66\u751f\u306e<em>\u8a66\u9a13\u306e\u5f97\u70b9<\/em>\u3092\u4e88\u6e2c\u3057\u305f\u3044\u3068\u3057\u307e\u3059\u3002\u6b21\u306e 2 \u3064\u306e\u56de\u5e30\u30e2\u30c7\u30eb\u3092\u9069\u7528\u3059\u308b\u3053\u3068\u3092\u6c7a\u5b9a\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u5b8c\u5168\u306a\u30e2\u30c7\u30eb:<\/strong>\u30b9\u30b3\u30a2 = \u03b2 <sub>0<\/sub> + B <sub>1<\/sub> (\u6642\u9593) + B <sub>2<\/sub> (\u6642\u9593) <sup>2<\/sup><\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u7e2e\u5c0f\u30e2\u30c7\u30eb:<\/strong>\u30b9\u30b3\u30a2 = \u03b2 <sub>0<\/sub> + B <sub>1<\/sub> (\u6642\u9593)<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u30b9\u30c6\u30c3\u30d7\u30d0\u30a4\u30b9\u30c6\u30c3\u30d7\u306e\u4f8b\u306f\u3001R \u3067\u4e0d\u9069\u5408\u30c6\u30b9\u30c8\u3092\u5b9f\u884c\u3057\u3066\u3001\u5b8c\u5168\u306a\u30e2\u30c7\u30eb\u304c\u7e2e\u5c0f\u30e2\u30c7\u30eb\u3088\u308a\u3082\u5927\u5e45\u306b\u512a\u308c\u305f\u9069\u5408\u3092\u63d0\u4f9b\u3059\u308b\u304b\u3069\u3046\u304b\u3092\u5224\u65ad\u3059\u308b\u65b9\u6cd5\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u30b9\u30c6\u30c3\u30d7 1: \u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u3092\u4f5c\u6210\u3057\u3066\u8996\u899a\u5316\u3059\u308b<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u307e\u305a\u3001\u6b21\u306e\u30b3\u30fc\u30c9\u3092\u4f7f\u7528\u3057\u3066\u300150 \u4eba\u306e\u5b66\u751f\u306e\u5b66\u7fd2\u6642\u9593\u6570\u3068\u7372\u5f97\u3057\u305f\u8a66\u9a13\u306e\u30b9\u30b3\u30a2\u3092\u542b\u3080\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u3092\u4f5c\u6210\u3057\u307e\u3059\u3002<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#make this example reproducible\n<\/span>set. <span style=\"color: #3366ff;\">seeds<\/span> (1)\n\n<span style=\"color: #008080;\">#create dataset\n<\/span>df &lt;- data. <span style=\"color: #3366ff;\">frame<\/span> (hours = <span style=\"color: #3366ff;\">runif<\/span> (50, 5, 15), score=50)\ndf$score = df$score + df$hours^3\/150 + df$hours* <span style=\"color: #3366ff;\">runif<\/span> (50, 1, 2)\n\n<span style=\"color: #008080;\">#view first six rows of data\n<\/span>head(df)\n\n      hours score\n1 7.655087 64.30191\n2 8.721239 70.65430\n3 10.728534 73.66114\n4 14.082078 86.14630\n5 7.016819 59.81595\n6 13.983897 83.60510<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u6b21\u306b\u3001\u6563\u5e03\u56f3\u3092\u4f5c\u6210\u3057\u3066\u3001\u6642\u9593\u3068\u30b9\u30b3\u30a2\u306e\u95a2\u4fc2\u3092\u8996\u899a\u5316\u3057\u307e\u3059\u3002<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#load ggplot2 visualization package\n<\/span><span style=\"color: #993300;\">library<\/span> (ggplot2)\n\n<span style=\"color: #008080;\">#create scatterplot\n<\/span>ggplot(df, <span style=\"color: #3366ff;\">aes<\/span> (x=hours, y=score)) +\n  geom_point()<\/strong> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-14476 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/manquefit1.png\" alt=\"\" width=\"428\" height=\"426\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u30b9\u30c6\u30c3\u30d7 2: 2 \u3064\u306e\u7570\u306a\u308b\u30e2\u30c7\u30eb\u3092\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306b\u9069\u5408\u3055\u305b\u308b<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u6b21\u306b\u30012 \u3064\u306e\u7570\u306a\u308b\u56de\u5e30\u30e2\u30c7\u30eb\u3092\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306b\u9069\u5408\u3055\u305b\u307e\u3059\u3002<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#fit full model\n<\/span><span style=\"color: #993300;\"><span style=\"color: #000000;\">full &lt;- lm(score ~ <span style=\"color: #3366ff;\">poly<\/span> (hours,2), data=df)\n<\/span>\n<span style=\"color: #008080;\">#fit reduced model\n<span style=\"color: #000000;\">reduced &lt;- lm(score ~ hours, data=df)<\/span><\/span>\n<\/span><\/strong><\/pre>\n<h3><span style=\"color: #000000;\"><strong>\u30b9\u30c6\u30c3\u30d7 3: \u4e0d\u9069\u5408\u30c6\u30b9\u30c8\u3092\u5b9f\u884c\u3059\u308b<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u6b21\u306b\u3001 <strong>anova()<\/strong>\u30b3\u30de\u30f3\u30c9\u3092\u4f7f\u7528\u3057\u3066\u30012 \u3064\u306e\u30e2\u30c7\u30eb\u9593\u306e\u4e0d\u9069\u5408\u30c6\u30b9\u30c8\u3092\u5b9f\u884c\u3057\u307e\u3059\u3002<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#lack of fit test\n<\/span>anova(full, reduced)\n\nAnalysis of Variance Table\n\nModel 1: score ~ poly(hours, 2)\nModel 2: score ~ hours\n  Res.Df RSS Df Sum of Sq F Pr(&gt;F)   \n1 47 368.48                                \n2 48 451.22 -1 -82.744 10.554 0.002144 **\n---\nSignificant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">F \u691c\u5b9a\u7d71\u8a08\u91cf\u306f<strong>10.554<\/strong>\u3067\u3001\u5bfe\u5fdc\u3059\u308b p \u5024\u306f<strong>0.002144<\/strong>\u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002\u3053\u306e p \u5024\u306f 0.05 \u672a\u6e80\u3067\u3042\u308b\u305f\u3081\u3001\u691c\u5b9a\u306e\u5e30\u7121\u4eee\u8aac\u3092\u68c4\u5374\u3057\u3001\u5b8c\u5168\u306a\u30e2\u30c7\u30eb\u304c\u7e2e\u5c0f\u30e2\u30c7\u30eb\u3088\u308a\u3082\u7d71\u8a08\u7684\u306b\u6709\u610f\u306b\u826f\u597d\u306a\u9069\u5408\u3092\u63d0\u4f9b\u3059\u308b\u3068\u7d50\u8ad6\u4ed8\u3051\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u30b9\u30c6\u30c3\u30d7 4: \u6700\u7d42\u30e2\u30c7\u30eb\u3092\u8996\u899a\u5316\u3059\u308b<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u6700\u5f8c\u306b\u3001\u5143\u306e\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306b\u5bfe\u3057\u3066\u6700\u7d42\u30e2\u30c7\u30eb (\u5b8c\u5168\u306a\u30e2\u30c7\u30eb) \u3092\u8996\u899a\u5316\u3067\u304d\u307e\u3059\u3002<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong>ggplot(df, <span style=\"color: #3366ff;\">aes<\/span> (x=hours, y=score)) + \n          geom_point() +\n          stat_smooth(method=' <span style=\"color: #008000;\">lm<\/span> ', formula = y ~ <span style=\"color: #3366ff;\">poly<\/span> (x,2), size = 1) + \n          xlab(' <span style=\"color: #008000;\">Hours Studied<\/span> ') +\n          ylab(' <span style=\"color: #008000;\">Score<\/span> ')<\/strong><\/span> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-14478 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/manquefit2.png\" alt=\"R \u306e\u9069\u5408\u6027\u306e\u6b20\u5982\u3092\u8996\u899a\u5316\u3059\u308b\" width=\"436\" height=\"444\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u30e2\u30c7\u30eb\u66f2\u7dda\u304c\u30c7\u30fc\u30bf\u306b\u975e\u5e38\u306b\u3088\u304f\u9069\u5408\u3057\u3066\u3044\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u8ffd\u52a0\u30ea\u30bd\u30fc\u30b9<\/strong><\/span><\/h3>\n<p><a href=\"https:\/\/statorials.org\/ja\/r-\u3066\u3099\u306e\u5358\u7d14\u306a\u7dda\u5f62\u56de\u5e30\/\" target=\"_blank\" rel=\"noopener\">R \u3067\u5358\u7d14\u306a\u7dda\u5f62\u56de\u5e30\u3092\u5b9f\u884c\u3059\u308b\u65b9\u6cd5<\/a><br \/><a href=\"https:\/\/statorials.org\/ja\/\u91cd\u7dda\u5f62\u56de\u5e30r\/\" target=\"_blank\" rel=\"noopener\">R \u3067\u91cd\u56de\u5e30\u3092\u5b9f\u884c\u3059\u308b\u65b9\u6cd5<\/a><br \/><a href=\"https:\/\/statorials.org\/ja\/\u591a\u9805\u5f0f\u56de\u5e30-r\/\">R \u3067\u591a\u9805\u5f0f\u56de\u5e30\u3092\u5b9f\u884c\u3059\u308b\u65b9\u6cd5<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u4e0d\u9069\u5408\u30c6\u30b9\u30c8\u306f\u3001\u5b8c\u5168\u306a\u56de\u5e30\u30e2\u30c7\u30eb\u304c\u30e2\u30c7\u30eb\u306e\u7e2e\u5c0f\u30d0\u30fc\u30b8\u30e7\u30f3\u3088\u308a\u3082\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306b\u5bfe\u3057\u3066\u5927\u5e45\u306b\u826f\u597d\u306a\u9069\u5408\u3092\u63d0\u4f9b\u3059\u308b\u304b\u3069\u3046\u304b\u3092\u5224\u65ad\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002 \u305f\u3068\u3048\u3070\u3001\u5b66\u7fd2\u6642\u9593\u6570\u3092\u4f7f\u7528\u3057\u3066\u3001\u7279\u5b9a\u306e\u5927\u5b66\u306e\u5b66\u751f\u306e\u8a66\u9a13\u306e\u5f97\u70b9\u3092\u4e88\u6e2c\u3057\u305f\u3044 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[16],"tags":[],"class_list":["post-1460","post","type-post","status-publish","format-standard","hentry","category-16"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>R \u3067\u4e0d\u9069\u5408\u30c6\u30b9\u30c8\u3092\u5b9f\u884c\u3059\u308b\u65b9\u6cd5 (\u30b9\u30c6\u30c3\u30d7\u30d0\u30a4\u30b9\u30c6\u30c3\u30d7)<\/title>\n<meta name=\"description\" content=\"\u3053\u306e\u30c1\u30e5\u30fc\u30c8\u30ea\u30a2\u30eb\u3067\u306f\u3001R \u3067\u4e0d\u9069\u5408\u30c6\u30b9\u30c8\u3092\u5b9f\u884c\u3059\u308b\u65b9\u6cd5\u3092\u3001\u30b9\u30c6\u30c3\u30d7\u30d0\u30a4\u30b9\u30c6\u30c3\u30d7\u306e\u4f8b\u3092\u542b\u3081\u3066\u8aac\u660e\u3057\u307e\u3059\u3002\" \/>\n<meta name=\"robots\" content=\"index, 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