{"id":1148,"date":"2023-07-27T12:05:11","date_gmt":"2023-07-27T12:05:11","guid":{"rendered":"https:\/\/statorials.org\/ja\/r-%e3%81%a6%e3%82%99%e3%81%ae%e5%8d%98%e7%b4%94%e3%81%aa%e7%b7%9a%e5%bd%a2%e5%9b%9e%e5%b8%b0\/"},"modified":"2023-07-27T12:05:11","modified_gmt":"2023-07-27T12:05:11","slug":"r-%e3%81%a6%e3%82%99%e3%81%ae%e5%8d%98%e7%b4%94%e3%81%aa%e7%b7%9a%e5%bd%a2%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%e5%8d%98%e7%b4%94%e3%81%aa%e7%b7%9a%e5%bd%a2%e5%9b%9e%e5%b8%b0\/","title":{"rendered":"R \u3067\u5358\u7d14\u7dda\u5f62\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;\"><a href=\"https:\/\/statorials.org\/ja\/\u7dda\u5f62\u56de\u5e30-1\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u5358\u7d14\u7dda\u5f62\u56de\u5e30\u306f\u3001<\/a>\u5358\u4e00\u306e<a href=\"https:\/\/statorials.org\/ja\/\u5909\u6570\u306e\u8aac\u660e\u5fdc\u7b54\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u8aac\u660e\u5909\u6570<\/a>\u3068\u5358\u4e00\u306e<a href=\"https:\/\/statorials.org\/ja\/\u5909\u6570\u306e\u8aac\u660e\u5fdc\u7b54\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u5fdc\u7b54\u5909\u6570<\/a>\u306e\u9593\u306e\u95a2\u4fc2\u3092\u7406\u89e3\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3067\u304d\u308b\u624b\u6cd5\u3067\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u7c21\u5358\u306b\u8a00\u3046\u3068\u3001\u3053\u306e\u624b\u6cd5\u306f\u30c7\u30fc\u30bf\u306b\u6700\u3082\u3088\u304f\u300c\u9069\u5408\u300d\u3059\u308b\u7dda\u3092\u898b\u3064\u3051\u3001\u6b21\u306e\u5f62\u5f0f\u306b\u306a\u308a\u307e\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u0177 = b <sub>0<\/sub> + b <sub>1<\/sub> x<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u91d1\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>\u0177<\/strong> : \u63a8\u5b9a\u5fdc\u7b54\u5024<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>b <sub>0<\/sub><\/strong> : \u56de\u5e30\u76f4\u7dda\u306e\u539f\u70b9<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>b <sub>1<\/sub><\/strong> : \u56de\u5e30\u76f4\u7dda\u306e\u50be\u304d<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u3053\u306e\u65b9\u7a0b\u5f0f\u306f\u3001\u8aac\u660e\u5909\u6570\u3068\u5fdc\u7b54\u5909\u6570\u306e\u95a2\u4fc2\u3092\u7406\u89e3\u3059\u308b\u306e\u306b\u5f79\u7acb\u3061\u3001(\u7d71\u8a08\u7684\u306b\u6709\u610f\u3067\u3042\u308b\u3068\u4eee\u5b9a\u3057\u3066) \u8aac\u660e\u5909\u6570\u306e\u5024\u306b\u57fa\u3065\u3044\u3066\u5fdc\u7b54\u5909\u6570\u306e\u5024\u3092\u4e88\u6e2c\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u306e\u30c1\u30e5\u30fc\u30c8\u30ea\u30a2\u30eb\u3067\u306f\u3001R \u3067\u5358\u7d14\u306a\u7dda\u5f62\u56de\u5e30\u3092\u5b9f\u884c\u3059\u308b\u65b9\u6cd5\u3092\u6bb5\u968e\u7684\u306b\u8aac\u660e\u3057\u307e\u3059\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><b>\u30b9\u30c6\u30c3\u30d7 1: \u30c7\u30fc\u30bf\u3092\u30ed\u30fc\u30c9\u3059\u308b<\/b><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u3053\u306e\u4f8b\u3067\u306f\u300115 \u4eba\u306e\u751f\u5f92\u306b\u5bfe\u3057\u3066\u6b21\u306e 2 \u3064\u306e\u5909\u6570\u3092\u542b\u3080\u507d\u306e\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u3092\u4f5c\u6210\u3057\u307e\u3059\u3002<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u7279\u5b9a\u306e\u8a66\u9a13\u306e\u5408\u8a08\u5b66\u7fd2\u6642\u9593\u6570<\/span><\/li>\n<li><span style=\"color: #000000;\">\u8a66\u9a13\u306e\u7d50\u679c<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u8aac\u660e\u5909\u6570\u3068\u3057\u3066<em>\u6642\u9593<\/em>\u3001\u5fdc\u7b54\u5909\u6570\u3068\u3057\u3066<em>\u691c\u67fb\u7d50\u679c<\/em>\u3092\u4f7f\u7528\u3057\u3066\u3001\u5358\u7d14\u306a\u7dda\u5f62\u56de\u5e30\u30e2\u30c7\u30eb\u306e\u5f53\u3066\u306f\u3081\u3092\u8a66\u307f\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u30b3\u30fc\u30c9\u306f\u3001R \u3067\u3053\u306e\u507d\u306e\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u3092\u4f5c\u6210\u3059\u308b\u65b9\u6cd5\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create dataset<\/span>\ndf &lt;- data.frame(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;\">#view first six rows of dataset\n<\/span>head(df)\n\n  hours score\n1 1 64\n2 2 66\n3 4 76\n4 5 73\n5 5 74\n6 6 81\n\n<span style=\"color: #008080;\">#attach dataset to make it more convenient to work with\n<\/span>attach(df)\n<\/strong><\/pre>\n<h3><span style=\"color: #000000;\"><b>\u30b9\u30c6\u30c3\u30d7 2: \u30c7\u30fc\u30bf\u3092\u8996\u899a\u5316\u3059\u308b<\/b><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u5358\u7d14\u306a\u7dda\u5f62\u56de\u5e30\u30e2\u30c7\u30eb\u3092\u5f53\u3066\u306f\u3081\u308b\u524d\u306b\u3001\u307e\u305a\u30c7\u30fc\u30bf\u3092\u8996\u899a\u5316\u3057\u3066\u7406\u89e3\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u307e\u305a\u3001<em>\u6642\u9593<\/em>\u3068<em>\u30b9\u30b3\u30a2<\/em>\u306e\u95a2\u4fc2\u304c\u307b\u307c\u7dda\u5f62\u3067\u3042\u308b\u3053\u3068\u3092\u78ba\u8a8d\u3057\u307e\u3059\u3002\u3053\u308c\u306f\u3001\u5358\u7d14\u306a\u7dda\u5f62\u56de\u5e30\u306e\u5927\u898f\u6a21\u306a<a href=\"https:\/\/statorials.org\/ja\/\u7dda\u5f62\u56de\u5e30\u306e\u4eee\u5b9a\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u57fa\u790e<\/a>\u3068\u306a\u308b\u4eee\u5b9a\u3060\u304b\u3089\u3067\u3059\u3002\u5358\u7d14\u306a\u6563\u5e03\u56f3\u3092\u4f5c\u6210\u3057\u3066\u30012 \u3064\u306e\u5909\u6570\u9593\u306e\u95a2\u4fc2\u3092\u8996\u899a\u5316\u3067\u304d\u307e\u3059\u3002<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>scatter.smooth(hours, score, main=' <span style=\"color: #008000;\">Hours studied vs. Exam Score<\/span> ')\n<\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-11531 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/simpleregr1.png\" alt=\"R \u306e\u5358\u7d14\u7dda\u5f62\u56de\u5e30\u306e\u6563\u5e03\u56f3\" width=\"390\" height=\"384\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u30b0\u30e9\u30d5\u304b\u3089\u3001\u95a2\u4fc2\u304c\u7dda\u5f62\u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<em>\u6642\u9593\u6570\u304c<\/em>\u5897\u52a0\u3059\u308b\u306b\u3064\u308c\u3066\u3001<em>\u30b9\u30b3\u30a2<\/em>\u3082\u76f4\u7dda\u7684\u306b\u5897\u52a0\u3059\u308b\u50be\u5411\u304c\u3042\u308a\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6b21\u306b\u3001\u7bb1\u3072\u3052\u56f3\u3092\u4f5c\u6210\u3057\u3066\u691c\u67fb\u7d50\u679c\u306e\u5206\u5e03\u3092\u8996\u899a\u5316\u3057\u3001 <a href=\"https:\/\/statorials.org\/ja\/\u5916\u308c\u5024\u3092\u9664\u53bb\u3059\u308b-r\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u5916\u308c\u5024<\/a>\u3092\u30c1\u30a7\u30c3\u30af\u3057\u307e\u3059\u3002\u30c7\u30d5\u30a9\u30eb\u30c8\u3067\u306f\u3001R \u306f\u3001\u89b3\u6e2c\u5024\u304c\u7b2c 3 \u56db\u5206\u4f4d (Q3) \u3088\u308a\u4e0a\u306e\u56db\u5206\u4f4d\u7bc4\u56f2\u306e 1.5 \u500d\u3001\u307e\u305f\u306f\u7b2c 1 \u56db\u5206\u4f4d (Q1) \u3088\u308a\u4e0b\u306e\u56db\u5206\u4f4d\u7bc4\u56f2\u306e 1.5 \u500d\u3067\u3042\u308b\u5834\u5408\u3001\u305d\u306e\u89b3\u6e2c\u5024\u3092\u5916\u308c\u5024\u3068\u3057\u3066\u5b9a\u7fa9\u3057\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u89b3\u6e2c\u5024\u304c\u5916\u308c\u5024\u3067\u3042\u308b\u5834\u5408\u3001\u7bb1\u3072\u3052\u56f3\u306b\u5c0f\u3055\u306a\u5186\u304c\u8868\u793a\u3055\u308c\u307e\u3059\u3002<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>boxplot(score)<\/strong> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-11532 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/simpleregr2.png\" alt=\"R \u3067\u306e\u5358\u7d14\u306a\u7dda\u5f62\u56de\u5e30\u306e\u7bb1\u3072\u3052\u56f3\" width=\"410\" height=\"343\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u7bb1\u3072\u3052\u56f3\u306b\u306f\u5c0f\u3055\u306a\u5186\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u3053\u308c\u306f\u3001\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306b\u5916\u308c\u5024\u304c\u306a\u3044\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><b>\u30b9\u30c6\u30c3\u30d7 3: \u5358\u7d14\u306a\u7dda\u5f62\u56de\u5e30\u3092\u5b9f\u884c\u3059\u308b<\/b><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u5909\u6570\u9593\u306e\u95a2\u4fc2\u304c\u7dda\u5f62\u3067\u3042\u308a\u3001\u5916\u308c\u5024\u304c\u306a\u3044\u3053\u3068\u3092\u78ba\u8a8d\u3057\u305f\u3089\u3001<em>\u6642\u9593\u3092<\/em>\u8aac\u660e\u5909\u6570\u3068\u3057\u3066\u3001<em>\u30b9\u30b3\u30a2<\/em>\u3092\u5fdc\u7b54\u5909\u6570\u3068\u3057\u3066\u4f7f\u7528\u3057\u3066\u3001\u5358\u7d14\u306a\u7dda\u5f62\u56de\u5e30\u30e2\u30c7\u30eb\u306e\u8fd1\u4f3c\u306b\u9032\u3080\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#fit simple linear regression model\n<\/span>model &lt;- lm(score~hours)\n\n<span style=\"color: #008080;\">#view model summary<\/span>\nsummary(model)\n\nCall:\nlm(formula = score ~ hours)\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\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u30e2\u30c7\u30eb\u306e\u6982\u8981\u304b\u3089\u3001\u8fd1\u4f3c\u3055\u308c\u305f\u56de\u5e30\u5f0f\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u30b9\u30b3\u30a2 = 65.334 + 1.982*(\u6642\u9593)<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u308c\u306f\u3001\u5b66\u7fd2\u6642\u9593\u304c\u8ffd\u52a0\u3055\u308c\u308b\u3054\u3068\u306b\u3001\u8a66\u9a13\u306e\u5e73\u5747\u30b9\u30b3\u30a2\u304c<strong>1,982<\/strong>\u70b9\u5897\u52a0\u3059\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002\u5143\u306e\u5024<strong>65,334<\/strong>\u306f\u30010 \u6642\u9593\u52c9\u5f37\u3057\u305f\u751f\u5f92\u306e\u4e88\u60f3\u3055\u308c\u308b\u8a66\u9a13\u306e\u5e73\u5747\u30b9\u30b3\u30a2\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u306e\u65b9\u7a0b\u5f0f\u3092\u4f7f\u7528\u3057\u3066\u3001\u5b66\u751f\u306e\u52c9\u5f37\u6642\u9593\u306b\u57fa\u3065\u3044\u3066\u4e88\u60f3\u3055\u308c\u308b\u8a66\u9a13\u306e\u5f97\u70b9\u3092\u6c42\u3081\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002\u305f\u3068\u3048\u3070\u300110 \u6642\u9593\u52c9\u5f37\u3057\u305f\u751f\u5f92\u306f\u3001\u8a66\u9a13\u30b9\u30b3\u30a2<strong>85.15<\/strong>\u3092\u9054\u6210\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u30b9\u30b3\u30a2 = 65.334 + 1.982*(10) = 85.15<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u30e2\u30c7\u30eb\u306e\u6982\u8981\u306e\u6b8b\u308a\u306e\u90e8\u5206\u3092\u89e3\u91c8\u3059\u308b\u65b9\u6cd5\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>Pr(&gt;|t|):<\/strong>\u3053\u308c\u306f\u30e2\u30c7\u30eb\u4fc2\u6570\u306b\u95a2\u9023\u4ed8\u3051\u3089\u308c\u305f p \u5024\u3067\u3059\u3002<em>\u6642\u9593<\/em>\u306e p \u5024 (2.25e-06) \u306f 0.05 \u3088\u308a\u3082\u5927\u5e45\u306b\u5c0f\u3055\u3044\u305f\u3081\u3001<em>\u6642\u9593<\/em>\u3068<em>\u30b9\u30b3\u30a2<\/em>\u306e\u9593\u306b\u7d71\u8a08\u7684\u306b\u6709\u610f\u306a\u95a2\u9023\u304c\u3042\u308b\u3068\u8a00\u3048\u307e\u3059\u3002<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>\u591a\u91cd R \u4e8c\u4e57:<\/strong>\u3053\u306e\u6570\u5024\u306f\u3001\u8a66\u9a13\u306e\u5f97\u70b9\u306e\u5909\u52d5\u306e\u30d1\u30fc\u30bb\u30f3\u30c6\u30fc\u30b8\u304c\u52c9\u5f37\u6642\u9593\u6570\u306b\u3088\u3063\u3066\u8aac\u660e\u3067\u304d\u308b\u3053\u3068\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002\u4e00\u822c\u306b\u3001\u56de\u5e30\u30e2\u30c7\u30eb\u306e R \u4e8c\u4e57\u5024\u304c\u5927\u304d\u3044\u307b\u3069\u3001\u8aac\u660e\u5909\u6570\u306f\u5fdc\u7b54\u5909\u6570\u306e\u5024\u3092\u3088\u308a\u9069\u5207\u306b\u4e88\u6e2c\u3067\u304d\u307e\u3059\u3002\u3053\u306e\u5834\u5408\u3001\u30b9\u30b3\u30a2\u306e\u5909\u52d5\u306e<strong>83.1%<\/strong>\u306f\u52c9\u5f37\u6642\u9593\u306b\u3088\u3063\u3066\u8aac\u660e\u3067\u304d\u307e\u3059\u3002<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>\u6b8b\u5dee\u6a19\u6e96\u8aa4\u5dee:<\/strong>\u3053\u308c\u306f\u3001\u89b3\u6e2c\u5024\u3068\u56de\u5e30\u76f4\u7dda\u306e\u9593\u306e\u5e73\u5747\u8ddd\u96e2\u3067\u3059\u3002\u3053\u306e\u5024\u304c\u4f4e\u3044\u307b\u3069\u3001\u56de\u5e30\u76f4\u7dda\u306f\u89b3\u5bdf\u3055\u308c\u305f\u30c7\u30fc\u30bf\u3068\u3088\u308a\u4e00\u81f4\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u3053\u306e\u5834\u5408\u3001\u8a66\u9a13\u3067\u89b3\u5bdf\u3055\u308c\u305f\u5e73\u5747\u30b9\u30b3\u30a2\u306f\u3001\u56de\u5e30\u76f4\u7dda\u306b\u3088\u3063\u3066\u4e88\u6e2c\u3055\u308c\u305f\u30b9\u30b3\u30a2\u304b\u3089<strong>3,641<\/strong>\u30dd\u30a4\u30f3\u30c8\u5916\u308c\u3066\u3044\u307e\u3059\u3002<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>F \u7d71\u8a08\u91cf\u3068 p \u5024:<\/strong> F \u7d71\u8a08\u91cf ( <strong>63.91<\/strong> ) \u3068\u5bfe\u5fdc\u3059\u308b p \u5024 ( <strong>2.253e-06<\/strong> ) \u306f\u3001\u56de\u5e30\u30e2\u30c7\u30eb\u306e\u5168\u4f53\u7684\u306a\u6709\u610f\u6027\u3001\u3064\u307e\u308a\u30e2\u30c7\u30eb\u5185\u306e\u8aac\u660e\u5909\u6570\u304c\u5909\u52d5\u3092\u8aac\u660e\u3059\u308b\u306e\u306b\u5f79\u7acb\u3064\u304b\u3069\u3046\u304b\u3092\u793a\u3057\u307e\u3059\u3002 \u3002\u5fdc\u7b54\u5909\u6570\u306b\u3002\u3053\u306e\u4f8b\u306e p \u5024\u306f 0.05 \u672a\u6e80\u3067\u3042\u308b\u305f\u3081\u3001\u30e2\u30c7\u30eb\u306f\u7d71\u8a08\u7684\u306b\u6709\u610f\u3067\u3042\u308a\u3001<em>\u6642\u9593\u306f<\/em><em>\u30b9\u30b3\u30a2\u306e<\/em>\u5909\u52d5\u3092\u8aac\u660e\u3059\u308b\u306e\u306b\u5f79\u7acb\u3064\u3068\u8003\u3048\u3089\u308c\u307e\u3059\u3002<\/span><\/li>\n<\/ul>\n<h3><span style=\"color: #000000;\"><strong>\u30b9\u30c6\u30c3\u30d7 4: \u6b8b\u5dee\u30d7\u30ed\u30c3\u30c8\u3092\u4f5c\u6210\u3059\u308b<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u5358\u7d14\u306a\u7dda\u5f62\u56de\u5e30\u30e2\u30c7\u30eb\u3092\u30c7\u30fc\u30bf\u306b\u5f53\u3066\u306f\u3081\u305f\u5f8c\u306e\u6700\u5f8c\u306e\u30b9\u30c6\u30c3\u30d7\u306f\u3001\u6b8b\u5dee\u30d7\u30ed\u30c3\u30c8\u3092\u4f5c\u6210\u3059\u308b\u3053\u3068\u3067\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u7dda\u5f62\u56de\u5e30\u306e\u91cd\u8981\u306a\u524d\u63d0\u306e 1 \u3064\u306f\u3001\u56de\u5e30\u30e2\u30c7\u30eb\u306e\u6b8b\u5dee\u304c\u307b\u307c\u6b63\u898f\u5206\u5e03\u3057\u3001\u8aac\u660e\u5909\u6570\u306e\u5404\u30ec\u30d9\u30eb\u3067\u7b49<a href=\"https:\/\/statorials.org\/ja\/\u4e0d\u5747\u4e00\u5206\u6563\u6027\u56de\u5e30\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u5206\u6563\u3067<\/a>\u3042\u308b\u3068\u3044\u3046\u3053\u3068\u3067\u3059\u3002\u3053\u308c\u3089\u306e\u524d\u63d0\u304c\u6e80\u305f\u3055\u308c\u306a\u3044\u5834\u5408\u3001\u56de\u5e30\u30e2\u30c7\u30eb\u306e\u7d50\u679c\u306f\u8aa4\u89e3\u3092\u62db\u304f\u304b\u3001\u4fe1\u983c\u6027\u304c\u4f4e\u3044\u53ef\u80fd\u6027\u304c\u3042\u308a\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u308c\u3089\u306e\u4eee\u5b9a\u304c\u6e80\u305f\u3055\u308c\u3066\u3044\u308b\u3053\u3068\u3092\u78ba\u8a8d\u3059\u308b\u305f\u3081\u306b\u3001\u6b21\u306e\u6b8b\u5dee\u30d7\u30ed\u30c3\u30c8\u3092\u4f5c\u6210\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u6b8b\u5dee\u3068\u8fd1\u4f3c\u5024\u306e\u30d7\u30ed\u30c3\u30c8:<\/strong>\u3053\u306e\u30d7\u30ed\u30c3\u30c8\u306f\u7b49\u5206\u6563\u6027\u3092\u78ba\u8a8d\u3059\u308b\u306e\u306b\u5f79\u7acb\u3061\u307e\u3059\u3002 X \u8ef8\u306f\u8fd1\u4f3c\u5024\u3092\u8868\u793a\u3057\u3001Y \u8ef8\u306f\u6b8b\u5dee\u3092\u8868\u793a\u3057\u307e\u3059\u3002\u6b8b\u5dee\u304c\u30bc\u30ed\u5024\u306e\u5468\u56f2\u3067\u30b0\u30e9\u30d5\u5168\u4f53\u306b\u30e9\u30f3\u30c0\u30e0\u304b\u3064\u5747\u4e00\u306b\u5206\u5e03\u3057\u3066\u3044\u308b\u3088\u3046\u306b\u898b\u3048\u308b\u9650\u308a\u3001\u7b49\u5206\u6563\u6027\u306b\u9055\u53cd\u3057\u3066\u3044\u306a\u3044\u3068\u4eee\u5b9a\u3067\u304d\u307e\u3059\u3002<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#define residuals\n<\/span>res &lt;- resid(model)\n\n<span style=\"color: #008080;\">#produce residual vs. fitted plot\n<\/span>plot(fitted(model), res)\n\n<span style=\"color: #008080;\">#add a horizontal line at 0 \n<\/span>abline(0,0)\n<\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-11533 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/simpleregr3.png\" alt=\"\u5358\u7d14\u7dda\u5f62\u56de\u5e30\u306e R \u306e\u6b8b\u5dee\u30d7\u30ed\u30c3\u30c8\" width=\"382\" height=\"342\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u6b8b\u5dee\u306f\u30bc\u30ed\u306e\u5468\u308a\u306b\u30e9\u30f3\u30c0\u30e0\u306b\u5206\u6563\u3057\u3066\u3044\u308b\u3088\u3046\u306b\u898b\u3048\u3001\u76ee\u7acb\u3063\u305f\u30d1\u30bf\u30fc\u30f3\u3092\u793a\u3055\u306a\u3044\u305f\u3081\u3001\u3053\u306e\u4eee\u5b9a\u306f\u6e80\u305f\u3055\u308c\u307e\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>QQ \u30d7\u30ed\u30c3\u30c8:<\/strong>\u3053\u306e\u30d7\u30ed\u30c3\u30c8\u306f\u3001\u6b8b\u5dee\u304c\u6b63\u898f\u5206\u5e03\u306b\u5f93\u3046\u304b\u3069\u3046\u304b\u3092\u5224\u65ad\u3059\u308b\u306e\u306b\u5f79\u7acb\u3061\u307e\u3059\u3002\u30d7\u30ed\u30c3\u30c8\u5185\u306e\u30c7\u30fc\u30bf\u5024\u304c 45 \u5ea6\u306e\u89d2\u5ea6\u3067\u307b\u307c\u76f4\u7dda\u306b\u5f93\u3063\u3066\u3044\u308b\u5834\u5408\u3001\u30c7\u30fc\u30bf\u306f\u6b63\u898f\u5206\u5e03\u3057\u3066\u3044\u307e\u3059\u3002<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create QQ plot for residuals\n<\/span>qqnorm(res)\n\n<span style=\"color: #008080;\">#add a straight diagonal line to the plot\n<\/span>qqline(res) \n<\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-11534 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/simpleregr4.png\" alt=\"R \u306e\u6b63\u898f QQ \u30d7\u30ed\u30c3\u30c8\" width=\"385\" height=\"384\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u6b8b\u5dee\u306f 45 \u5ea6\u306e\u7dda\u304b\u3089\u308f\u305a\u304b\u306b\u9038\u8131\u3057\u3066\u3044\u307e\u3059\u304c\u3001\u91cd\u5927\u306a\u61f8\u5ff5\u3092\u5f15\u304d\u8d77\u3053\u3059\u307b\u3069\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u6b63\u898f\u6027\u306e\u4eee\u5b9a\u304c\u6e80\u305f\u3055\u308c\u3066\u3044\u308b\u3068\u4eee\u5b9a\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6b8b\u5dee\u306f\u6b63\u898f\u5206\u5e03\u3057\u3001\u7b49\u5206\u6563\u3067\u3042\u308b\u305f\u3081\u3001\u5358\u7d14\u306a\u7dda\u5f62\u56de\u5e30\u30e2\u30c7\u30eb\u306e\u4eee\u5b9a\u304c\u6e80\u305f\u3055\u308c\u3066\u3044\u308b\u3053\u3068\u3092\u78ba\u8a8d\u3057\u307e\u3057\u305f\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u30e2\u30c7\u30eb\u306e\u51fa\u529b\u306f\u4fe1\u983c\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><em>\u3053\u306e\u30c1\u30e5\u30fc\u30c8\u30ea\u30a2\u30eb\u3067\u4f7f\u7528\u3055\u308c\u308b\u5b8c\u5168\u306a R \u30b3\u30fc\u30c9\u306f\u3001 <a href=\"https:\/\/raw.githubusercontent.com\/Statorials\/R-Guides\/main\/simple_linear_regression.R\" target=\"_blank\" rel=\"noopener noreferrer\">\u3053\u3053\u306b<\/a>\u3042\u308a\u307e\u3059\u3002<\/em><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5358\u7d14\u7dda\u5f62\u56de\u5e30\u306f\u3001\u5358\u4e00\u306e\u8aac\u660e\u5909\u6570\u3068\u5358\u4e00\u306e\u5fdc\u7b54\u5909\u6570\u306e\u9593\u306e\u95a2\u4fc2\u3092\u7406\u89e3\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3067\u304d\u308b\u624b\u6cd5\u3067\u3059\u3002 \u7c21\u5358\u306b\u8a00\u3046\u3068\u3001\u3053\u306e\u624b\u6cd5\u306f\u30c7\u30fc\u30bf\u306b\u6700\u3082\u3088\u304f\u300c\u9069\u5408\u300d\u3059\u308b\u7dda\u3092\u898b\u3064\u3051\u3001\u6b21\u306e\u5f62\u5f0f\u306b\u306a\u308a\u307e\u3059\u3002 \u0177 = b 0 + b 1 x \u91d1\uff1a \u0177 [&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-1148","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\u5358\u7d14\u7dda\u5f62\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\u3001R \u3067\u5358\u7d14\u306a\u7dda\u5f62\u56de\u5e30\u3092\u5b9f\u884c\u3059\u308b\u65b9\u6cd5\u3092\u6bb5\u968e\u7684\u306a\u4f8b\u3068\u3068\u3082\u306b\u8aac\u660e\u3057\u307e\u3059\u3002\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, 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