{"id":3615,"date":"2023-07-16T12:25:52","date_gmt":"2023-07-16T12:25:52","guid":{"rendered":"https:\/\/statorials.org\/ja\/r-%e3%81%ae%e5%9b%9e%e5%b8%b0%e4%bf%82%e6%95%b0%e3%81%ae%e4%bf%a1%e9%a0%bc%e5%8c%ba%e9%96%93\/"},"modified":"2023-07-16T12:25:52","modified_gmt":"2023-07-16T12:25:52","slug":"r-%e3%81%ae%e5%9b%9e%e5%b8%b0%e4%bf%82%e6%95%b0%e3%81%ae%e4%bf%a1%e9%a0%bc%e5%8c%ba%e9%96%93","status":"publish","type":"post","link":"https:\/\/statorials.org\/ja\/r-%e3%81%ae%e5%9b%9e%e5%b8%b0%e4%bf%82%e6%95%b0%e3%81%ae%e4%bf%a1%e9%a0%bc%e5%8c%ba%e9%96%93\/","title":{"rendered":"R \u306e\u56de\u5e30\u4fc2\u6570\u306e\u4fe1\u983c\u533a\u9593\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u7dda\u5f62\u56de\u5e30\u30e2\u30c7\u30eb\u3067\u306f\u3001\u56de\u5e30\u4fc2\u6570\u306b\u3088\u3063\u3066\u3001\u4e88\u6e2c\u5909\u6570\u306e 1 \u5358\u4f4d\u306e\u5897\u52a0\u306b\u95a2\u9023\u3059\u308b<a href=\"https:\/\/statorials.org\/ja\/\u5909\u6570\u306e\u8aac\u660e\u5fdc\u7b54\/\" target=\"_blank\" rel=\"noopener\">\u5fdc\u7b54\u5909\u6570<\/a>\u306e\u5e73\u5747\u5909\u5316\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u5f0f\u3092\u4f7f\u7528\u3057\u3066\u3001\u56de\u5e30\u4fc2\u6570\u306e\u4fe1\u983c\u533a\u9593\u3092\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<blockquote>\n<p> <strong><span style=\"color: #000000;\">\u03b2 <sub>1<\/sub>\u306e\u4fe1\u983c\u533a\u9593: b <sub>1<\/sub> \u00b1 t <sub>1-\u03b1\/2, n-2<\/sub> * se(b <sub>1<\/sub> )<\/span><\/strong><\/p>\n<\/blockquote>\n<p><span style=\"color: #000000;\">\u91d1\uff1a<\/span> <\/p>\n<ul>\n<li><strong>&nbsp;<\/strong> <span style=\"color: #000000;\"><strong>b <sub>1<\/sub><\/strong> = \u56de\u5e30\u8868\u306b\u793a\u3055\u308c\u3066\u3044\u308b\u56de\u5e30\u4fc2\u6570<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>t <sub>1-\u221d\/2, n-2<\/sub><\/strong> = n-2 \u81ea\u7531\u5ea6\u306e 1-\u221d \u4fe1\u983c\u6c34\u6e96\u306e\u81e8\u754c t \u5024\u3002n<em>\u306f<\/em>\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u5185\u306e\u89b3\u6e2c\u5024\u306e\u7dcf\u6570\u3067\u3059\u3002<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>se(b <sub>1<\/sub> )<\/strong> = \u56de\u5e30\u8868\u306b\u793a\u3055\u308c\u308b b <sub>1<\/sub>\u306e\u6a19\u6e96\u8aa4\u5dee<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u4f8b\u306f\u3001\u5b9f\u969b\u306b\u56de\u5e30\u52fe\u914d\u306e\u4fe1\u983c\u533a\u9593\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/span><\/p>\n<h2><span style=\"color: #000000;\"><strong>\u4f8b: R \u306e\u56de\u5e30\u4fc2\u6570\u306e\u4fe1\u983c\u533a\u9593<\/strong><\/span><\/h2>\n<p><span style=\"color: #000000;\">\u7279\u5b9a\u306e\u30af\u30e9\u30b9\u306e 15 \u4eba\u306e\u751f\u5f92\u306b\u3064\u3044\u3066<strong>\u3001\u5b66\u7fd2\u6642\u9593\u3092<\/strong>\u4e88\u6e2c\u5909\u6570\u3068\u3057\u3066\u4f7f\u7528\u3057\u3001<strong>\u8a66\u9a13\u306e\u5f97\u70b9\u3092<\/strong>\u5fdc\u7b54\u5909\u6570\u3068\u3057\u3066\u4f7f\u7528\u3057\u3066\u3001\u5358\u7d14\u306a\u7dda\u5f62\u56de\u5e30\u30e2\u30c7\u30eb\u3092\u8fd1\u4f3c\u3057\u305f\u3044\u3068\u3057\u307e\u3059\u3002<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-22174 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/intercepter1.png\" alt=\"\" width=\"190\" height=\"377\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/ja\/r\u306elm\u95a2\u6570\/\" target=\"_blank\" rel=\"noopener\">lm()<\/a>\u95a2\u6570\u3092\u4f7f\u7528\u3057\u3066\u3001\u3053\u306e\u5358\u7d14\u306a\u7dda\u5f62\u56de\u5e30\u30e2\u30c7\u30eb\u3092 R \u306b\u5f53\u3066\u306f\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/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> (hours=c(1, 2, 4, 5, 5, 6, 6, 7, 8, 10, 11, 11, 12, 12, 14),\n                 score=c(64, 66, 76, 73, 74, 81, 83, 82, 80, 88, 84, 82, 91, 93, 89))\n\n<span style=\"color: #008080;\">#fit linear regression model\n<\/span>fit &lt;- lm(score ~ hours, data=df)\n\n<span style=\"color: #008080;\">#view model summary\n<\/span>summary(fit)\n\nCall:\nlm(formula = score ~ hours, data = df)\n\nResiduals:\n   Min 1Q Median 3Q Max \n-5,140 -3,219 -1,193 2,816 5,772 \n\nCoefficients:\n            Estimate Std. Error t value Pr(&gt;|t|)    \n(Intercept) 65,334 2,106 31,023 1.41e-13 ***\nhours 1.982 0.248 7.995 2.25e-06 ***\n---\nSignificant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n\nResidual standard error: 3.641 on 13 degrees of freedom\nMultiple R-squared: 0.831, Adjusted R-squared: 0.818 \nF-statistic: 63.91 on 1 and 13 DF, p-value: 2.253e-06<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u7d50\u679c\u306e\u4fc2\u6570\u63a8\u5b9a\u5024\u3092\u4f7f\u7528\u3059\u308b\u3068\u3001\u6b21\u306e\u3088\u3046\u306b\u8fd1\u4f3c\u5358\u7d14\u7dda\u5f62\u56de\u5e30\u30e2\u30c7\u30eb\u3092\u4f5c\u6210\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u30b9\u30b3\u30a2 = 65.334 + 1.982*(\u5b66\u7fd2\u6642\u9593)<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6642\u9593\u306e\u56de\u5e30\u4fc2\u6570\u306f<strong>1.982<\/strong>\u3067\u3042\u308b\u3053\u3068\u306b\u6ce8\u610f\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u308c\u306f\u3001\u5b66\u7fd2\u6642\u9593\u304c 1 \u6642\u9593\u5897\u3048\u308b\u3054\u3068\u306b\u3001\u8a66\u9a13\u306e\u30b9\u30b3\u30a2\u304c\u5e73\u5747<strong>1,982<\/strong>\u70b9\u5897\u52a0\u3059\u308b\u3053\u3068\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>confint()<\/strong>\u95a2\u6570\u3092\u4f7f\u7528\u3057\u3066\u3001\u56de\u5e30\u4fc2\u6570\u306e 95% \u4fe1\u983c\u533a\u9593\u3092\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#calculate confidence interval for regression coefficient for 'hours'<\/span>\nconfint(fit, ' <span style=\"color: #ff0000;\">hours<\/span> ', level= <span style=\"color: #008000;\">0.95<\/span> )\n\n         2.5% 97.5%\nhours 1.446682 2.518068\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u56de\u5e30\u4fc2\u6570\u306e 95% \u4fe1\u983c\u533a\u9593\u306f<strong>[1.446, 2.518]<\/strong>\u3067\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u306e\u4fe1\u983c\u533a\u9593\u306b\u306f\u5024 0 \u304c\u542b\u307e\u308c\u3066\u3044\u306a\u3044\u305f\u3081\u3001\u5b66\u7fd2\u6642\u9593\u3068\u8a66\u9a13\u306e\u6210\u7e3e\u306e\u9593\u306b\u306f\u7d71\u8a08\u7684\u306b\u6709\u610f\u306a\u95a2\u9023\u304c\u3042\u308b\u3068\u7d50\u8ad6\u4ed8\u3051\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u56de\u5e30\u4fc2\u6570\u306e 95% \u4fe1\u983c\u533a\u9593\u3092\u624b\u52d5\u3067\u8a08\u7b97\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u3001\u3053\u308c\u304c\u6b63\u3057\u3044\u3053\u3068\u3092\u78ba\u8a8d\u3059\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u03b2 <sub>1<\/sub>\u306e 95% CI: b <sub>1<\/sub> \u00b1 t <sub>1-\u03b1\/2, n-2<\/sub> * se(b <sub>1<\/sub> )<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u03b2 <sub>1<\/sub>\u306e 95% CI: 1.982 \u00b1 t <sub>0.975\u300115-2<\/sub> * 0.248<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u03b2 <sub>1<\/sub>\u306e 95% CI: 1.982 \u00b1 2.1604 * 0.248<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u03b2 <sub>1<\/sub>\u306e 95% CI: [1.446, 2.518]<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u56de\u5e30\u4fc2\u6570\u306e 95% \u4fe1\u983c\u533a\u9593\u306f<strong>[1.446, 2.518]<\/strong>\u3067\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u6ce8 #1<\/strong> : \u9006 t \u5206\u5e03\u8a08\u7b97\u6a5f\u3092\u4f7f\u7528\u3057\u3066\u300113 \u81ea\u7531\u5ea6\u3067 95% \u306e\u4fe1\u983c\u6c34\u6e96\u306b\u5bfe\u5fdc\u3059\u308b\u81e8\u754c t \u5024\u3092\u898b\u3064\u3051\u307e\u3057\u305f\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u6ce8 #2<\/strong> : \u7570\u306a\u308b\u4fe1\u983c\u6c34\u6e96\u3067\u4fe1\u983c\u533a\u9593\u3092\u8a08\u7b97\u3059\u308b\u306b\u306f\u3001 <strong>confint()<\/strong>\u95a2\u6570\u306e<strong>level<\/strong>\u5f15\u6570\u306e\u5024\u3092\u5909\u66f4\u3059\u308b\u3060\u3051\u3067\u3059\u3002<\/span><\/p>\n<h2><span style=\"color: #000000;\"><strong>\u8ffd\u52a0\u30ea\u30bd\u30fc\u30b9<\/strong><\/span><\/h2>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u30c1\u30e5\u30fc\u30c8\u30ea\u30a2\u30eb\u3067\u306f\u3001R \u306e\u7dda\u5f62\u56de\u5e30\u306b\u95a2\u3059\u308b\u8ffd\u52a0\u60c5\u5831\u3092\u63d0\u4f9b\u3057\u307e\u3059\u3002<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/ja\/r-\u306e\u56de\u5e30\u51fa\u529b\u3092\u89e3\u91c8\u3059\u308b\/\" target=\"_blank\" rel=\"noopener\">R \u3067\u56de\u5e30\u51fa\u529b\u3092\u89e3\u91c8\u3059\u308b\u65b9\u6cd5<\/a><br \/><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 \/>R \u3067\u30ed\u30b8\u30b9\u30c6\u30a3\u30c3\u30af\u56de\u5e30\u3092\u5b9f\u884c\u3059\u308b\u65b9\u6cd5<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u7dda\u5f62\u56de\u5e30\u30e2\u30c7\u30eb\u3067\u306f\u3001\u56de\u5e30\u4fc2\u6570\u306b\u3088\u3063\u3066\u3001\u4e88\u6e2c\u5909\u6570\u306e 1 \u5358\u4f4d\u306e\u5897\u52a0\u306b\u95a2\u9023\u3059\u308b\u5fdc\u7b54\u5909\u6570\u306e\u5e73\u5747\u5909\u5316\u304c\u308f\u304b\u308a\u307e\u3059\u3002 \u6b21\u306e\u5f0f\u3092\u4f7f\u7528\u3057\u3066\u3001\u56de\u5e30\u4fc2\u6570\u306e\u4fe1\u983c\u533a\u9593\u3092\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002 \u03b2 1\u306e\u4fe1\u983c\u533a\u9593: b 1 \u00b1 t 1-\u03b1\/2, n-2  [&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-3615","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 - Statorials \u3067\u56de\u5e30\u4fc2\u6570\u306e\u4fe1\u983c\u533a\u9593\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5<\/title>\n<meta name=\"description\" content=\"\u3053\u306e\u30c1\u30e5\u30fc\u30c8\u30ea\u30a2\u30eb\u3067\u306f\u3001R \u306e\u56de\u5e30\u4fc2\u6570\u306e\u4fe1\u983c\u533a\u9593\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5\u3092\u4f8b\u3092\u6319\u3052\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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