{"id":1564,"date":"2023-07-25T20:42:10","date_gmt":"2023-07-25T20:42:10","guid":{"rendered":"https:\/\/statorials.org\/ja\/r-%e3%81%a6%e3%82%99%e3%81%ae%e3%81%b8%e3%82%99%e3%81%8d%e4%b9%97%e5%9b%9e%e5%b8%b0\/"},"modified":"2023-07-25T20:42:10","modified_gmt":"2023-07-25T20:42:10","slug":"r-%e3%81%a6%e3%82%99%e3%81%ae%e3%81%b8%e3%82%99%e3%81%8d%e4%b9%97%e5%9b%9e%e5%b8%b0","status":"publish","type":"post","link":"https:\/\/statorials.org\/ja\/r-%e3%81%a6%e3%82%99%e3%81%ae%e3%81%b8%e3%82%99%e3%81%8d%e4%b9%97%e5%9b%9e%e5%b8%b0\/","title":{"rendered":"R \u3067\u3079\u304d\u4e57\u56de\u5e30\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>\u3079\u304d\u4e57\u56de\u5e30\u306f<\/strong>\u3001\u6b21\u306e\u5f62\u5f0f\u3092\u3068\u308b\u975e\u7dda\u5f62\u56de\u5e30\u306e\u4e00\u7a2e\u3067\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>y = ax <sup>b<\/sup><\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u91d1\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>y:<\/strong>\u5fdc\u7b54\u5909\u6570<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>x:<\/strong>\u4e88\u6e2c\u5909\u6570<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>a\u3001b:<\/strong> <em>x<\/em>\u3068<em>y<\/em>\u306e\u95a2\u4fc2\u3092\u8aac\u660e\u3059\u308b\u56de\u5e30\u4fc2\u6570<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u3053\u306e\u30bf\u30a4\u30d7\u306e\u56de\u5e30\u306f\u3001<a href=\"https:\/\/statorials.org\/ja\/\u5909\u6570\u306e\u8aac\u660e\u5fdc\u7b54\/\" target=\"_blank\" rel=\"noopener\">\u5fdc\u7b54\u5909\u6570\u304c<\/a>\u4e88\u6e2c\u5909\u6570\u306e\u7d2f\u4e57\u306b\u7b49\u3057\u3044\u72b6\u6cc1\u3092\u30e2\u30c7\u30eb\u5316\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u6bb5\u968e\u7684\u306a\u4f8b\u306f\u3001R \u306e\u7279\u5b9a\u306e\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306b\u5bfe\u3057\u3066\u691c\u51fa\u529b\u56de\u5e30\u3092\u5b9f\u884c\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\u3092\u4f5c\u6210\u3059\u308b<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u307e\u305a\u30012 \u3064\u306e\u5909\u6570 x \u3068 y \u306e\u507d\u306e\u30c7\u30fc\u30bf\u3092\u4f5c\u6210\u3057\u307e\u3057\u3087\u3046\u3002<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create data<\/span>\nx=1:20\ny=c(1, 8, 5, 7, 6, 20, 15, 19, 23, 37, 33, 38, 49, 50, 56, 52, 70, 89, 97, 115)<\/strong><\/pre>\n<h3><span style=\"color: #000000;\"><strong>\u30b9\u30c6\u30c3\u30d7 2: \u30c7\u30fc\u30bf\u3092\u8996\u899a\u5316\u3059\u308b<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u6b21\u306b\u3001\u6563\u5e03\u56f3\u3092\u4f5c\u6210\u3057\u3066\u3001x \u3068 y \u306e\u95a2\u4fc2\u3092\u8996\u899a\u5316\u3057\u307e\u3057\u3087\u3046\u3002<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create scatterplot<\/span>\nplot(x, y)<\/strong> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-15543 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/puissancer1.png\" alt=\"\" width=\"450\" height=\"416\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u30b0\u30e9\u30d5\u306f\u30012 \u3064\u306e\u5909\u6570\u9593\u306b\u660e\u78ba\u306a\u529b\u95a2\u4fc2\u304c\u3042\u308b\u3053\u3068\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u7dda\u5f62\u56de\u5e30\u30e2\u30c7\u30eb\u3067\u306f\u306a\u304f\u3001\u3079\u304d\u4e57\u56de\u5e30\u65b9\u7a0b\u5f0f\u3092\u30c7\u30fc\u30bf\u306b\u9069\u5408\u3055\u305b\u308b\u3053\u3068\u304c\u8ce2\u660e\u3067\u3042\u308b\u3068\u601d\u308f\u308c\u307e\u3059\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u30b9\u30c6\u30c3\u30d7 3: \u691c\u51fa\u529b\u56de\u5e30\u30e2\u30c7\u30eb\u3092\u5f53\u3066\u306f\u3081\u308b<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u6b21\u306b\u3001 <strong>lm()<\/strong>\u95a2\u6570\u3092\u4f7f\u7528\u3057\u3066\u56de\u5e30\u30e2\u30c7\u30eb\u3092\u30c7\u30fc\u30bf\u306b\u8fd1\u4f3c\u3057\u3001\u30e2\u30c7\u30eb\u3092\u8fd1\u4f3c\u3059\u308b\u3068\u304d\u306b R \u304c\u5fdc\u7b54\u5909\u6570 log \u3068\u4e88\u6e2c\u5b50\u5909\u6570 log \u3092\u4f7f\u7528\u3059\u308b\u3088\u3046\u306b\u6307\u5b9a\u3057\u307e\u3059\u3002<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#fit the model\n<\/span>model &lt;- lm(log(y)~ log(x))\n\n<span style=\"color: #008080;\">#view the output of the model\n<\/span>summary(model)\n\nCall:\nlm(formula = log(y) ~ log(x))\n\nResiduals:\n     Min 1Q Median 3Q Max \n-0.67014 -0.17190 -0.05341 0.16343 0.93186 \n\nCoefficients:\n            Estimate Std. Error t value Pr(&gt;|t|)    \n(Intercept) 0.15333 0.20332 0.754 0.461    \nlog(x) 1.43439 0.08996 15.945 4.62e-12 ***\n---\nSignificant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n\nResidual standard error: 0.3187 on 18 degrees of freedom\nMultiple R-squared: 0.9339, Adjusted R-squared: 0.9302 \nF-statistic: 254.2 on 1 and 18 DF, p-value: 4.619e-12<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u30e2\u30c7\u30eb<a href=\"https:\/\/statorials.org\/ja\/\u56de\u5e30\u306b\u304a\u3051\u308b\u5168\u4f53\u7684\u306a\u6709\u610f\u6027\u306e-f-\u691c\u5b9a\u3092\u7406\u89e3\u3059\u308b\u305f\u3081\u306e\u7c21\u5358\u306a\u30ab\u3099\u30a4\u30c8\u3099\/\" target=\"_blank\" rel=\"noopener\">\u5168\u4f53\u306e F \u5024<\/a>\u306f 252.1 \u3067\u3001\u5bfe\u5fdc\u3059\u308b p \u5024\u306f\u975e\u5e38\u306b\u4f4e\u304f (4.619e-12)\u3001\u30e2\u30c7\u30eb\u5168\u4f53\u304c\u6709\u7528\u3067\u3042\u308b\u3053\u3068\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u51fa\u529b\u30c6\u30fc\u30d6\u30eb\u306e\u4fc2\u6570\u3092\u4f7f\u7528\u3059\u308b\u3068\u3001\u8fd1\u4f3c\u3055\u308c\u305f\u691c\u51fa\u529b\u56de\u5e30\u5f0f\u304c\u6b21\u306e\u3088\u3046\u306b\u306a\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>ln(y) = 0.15333 + 1.43439ln(x)<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><em>e<\/em>\u3092\u4e21\u8fba\u306b\u9069\u7528\u3059\u308b\u3068\u3001\u65b9\u7a0b\u5f0f\u3092\u6b21\u306e\u3088\u3046\u306b\u66f8\u304d\u63db\u3048\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>y = e <sup>0.15333 + 1.43439ln(x)<\/sup><\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>y = 1.1657x <sup>1.43439<\/sup><\/strong><\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u3053\u306e\u65b9\u7a0b\u5f0f\u3092\u4f7f\u7528\u3057\u3066\u3001\u4e88\u6e2c\u5b50\u5909\u6570<em>x<\/em>\u306e\u5024\u306b\u57fa\u3065\u3044\u3066\u5fdc\u7b54\u5909\u6570<em>y<\/em>\u3092\u4e88\u6e2c\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u305f\u3068\u3048\u3070\u3001 <em>x<\/em> = 12 \u306e\u5834\u5408\u3001 <em>y \u306f<\/em><strong>41.167<\/strong>\u306b\u306a\u308b\u3068\u4e88\u6e2c\u3057\u307e\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\">y = 1.1657(12) <sup>1.43439<\/sup> = 41.167<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u30dc\u30fc\u30ca\u30b9:<\/strong>\u3053\u306e\u30aa\u30f3\u30e9\u30a4\u30f3\u691c\u51fa\u529b\u56de\u5e30\u8a08\u7b97\u30c4\u30fc\u30eb\u3092\u81ea\u7531\u306b\u4f7f\u7528\u3057\u3066\u3001\u6307\u5b9a\u3055\u308c\u305f\u4e88\u6e2c\u5b50\u3068\u5fdc\u7b54\u5909\u6570\u306e\u691c\u51fa\u529b\u56de\u5e30\u5f0f\u3092\u81ea\u52d5\u7684\u306b\u8a08\u7b97\u3067\u304d\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\/\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\/r-\u306e\u6307\u6570\u56de\u5e30\/\" target=\"_blank\" rel=\"noopener\">R \u3067\u6307\u6570\u56de\u5e30\u3092\u5b9f\u884c\u3059\u308b\u65b9\u6cd5<\/a><br \/><a href=\"https:\/\/statorials.org\/ja\/r-\u3066\u3099\u306e\u5bfe\u6570\u56de\u5e30\/\" target=\"_blank\" rel=\"noopener\">R \u3067\u5bfe\u6570\u56de\u5e30\u3092\u5b9f\u884c\u3059\u308b\u65b9\u6cd5<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u3079\u304d\u4e57\u56de\u5e30\u306f\u3001\u6b21\u306e\u5f62\u5f0f\u3092\u3068\u308b\u975e\u7dda\u5f62\u56de\u5e30\u306e\u4e00\u7a2e\u3067\u3059\u3002 y = ax b \u91d1\uff1a y:\u5fdc\u7b54\u5909\u6570 x:\u4e88\u6e2c\u5909\u6570 a\u3001b: x\u3068y\u306e\u95a2\u4fc2\u3092\u8aac\u660e\u3059\u308b\u56de\u5e30\u4fc2\u6570 \u3053\u306e\u30bf\u30a4\u30d7\u306e\u56de\u5e30\u306f\u3001\u5fdc\u7b54\u5909\u6570\u304c\u4e88\u6e2c\u5909\u6570\u306e\u7d2f\u4e57\u306b\u7b49\u3057\u3044\u72b6\u6cc1\u3092\u30e2\u30c7\u30eb\u5316\u3059\u308b\u305f\u3081 [&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-1564","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\u3079\u304d\u4e57\u56de\u5e30\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\u3001\u5b9a\u7fa9\u3068\u4f8b\u3092\u542b\u3081\u3066\u691c\u51fa\u529b\u56de\u5e30\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link 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