{"id":482,"date":"2018-08-30T21:57:47","date_gmt":"2018-08-30T12:57:47","guid":{"rendered":"https:\/\/best-biostatistics.com\/toukei-er\/entry\/difference-between-correlation-and-regression-analyses\/"},"modified":"2024-10-13T15:04:50","modified_gmt":"2024-10-13T06:04:50","slug":"difference-between-correlation-and-regression-analyses","status":"publish","type":"post","link":"https:\/\/best-biostatistics.com\/toukei-er\/entry\/difference-between-correlation-and-regression-analyses\/","title":{"rendered":"\u76f8\u95a2\u3068\u56de\u5e30\u306e\u9055\u3044\u306f\u4f55\u304b\uff1f"},"content":{"rendered":"\n<p>\u76f8\u95a2\u3068\u56de\u5e30\u306f\u3069\u3046\u9055\u3046\u304b\uff1f \u4e21\u65b9\u3068\u30822\u3064\u306e\u30c7\u30fc\u30bf\u306e\u95a2\u4fc2\u6027\u3092\u898b\u3066\u3044\u308b\u308f\u3051\u3067\u3001\u3068\u3066\u3082\u4f3c\u3066\u3044\u308b\u3002\u76f8\u95a2\u3068\u56de\u5e30\u306e\u9055\u3044\u306b\u3064\u3044\u3066\u3001\u307e\u3068\u3081\u3066\u307f\u308b\u3002<\/p>\n\n\n\n<!--more-->\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u76f8\u95a2\u3068\u56de\u5e30\u306e\u6839\u672c\u7684\u306a\u9055\u3044\u306f\">\u76f8\u95a2\u3068\u56de\u5e30\u306e\u6839\u672c\u7684\u306a\u9055\u3044\u306f\uff1f<\/h2>\n\n\n\n<p>\u76f8\u95a2\u306f\u3001\u76f8\u95a2\u4fc2\u6570\u304c\u4e2d\u5fc3\u3067\u3001 \u30c7\u30fc\u30bfX\u3068\u30c7\u30fc\u30bfY\u306e \u304a\u4e92\u3044\u306e\u95a2\u4fc2\u6027\u3092\u898b\u308b\u3002 \u76f8\u95a2\u5206\u6790\u306b\u306f\u3001 Y = aX + b \u307f\u305f\u3044\u306a\u5f0f\u306f\u51fa\u3066\u6765\u306a\u3044\u3002<\/p>\n\n\n\n<p>\u56de\u5e30\u306f\u3001\u56de\u5e30\u5f0f\uff08Y = aX + b \u307f\u305f\u3044\u306a\u5f0f\uff09\u304c\u4e2d\u5fc3\u3067\u3001 \u30c7\u30fc\u30bfX\u306b\u3088\u308b\u30c7\u30fc\u30bfY\u306e\u4e88\u6e2c\u306e\u305f\u3081\u306e\u5f0f\u3092\u4f5c\u308b\u3082\u306e\u3002 \u305d\u306e\u5f0f\u306b\u3088\u3063\u3066\u3001\u65b0\u305f\u306a\u30c7\u30fc\u30bfX\u304b\u3089\u30c7\u30fc\u30bfY\u3092\u4e88\u6e2c\u3067\u304d\u308b\u3002<\/p>\n\n\n\n<p>Y = aX + b \u306e\u5f0f\u306ea\u3068b\u3092\u63a8\u5b9a\u3059\u308b\u3002\u305f\u3060\u3001\u63a8\u5b9a\u3057\u305fa\u3068b\u3092\u4f7f\u3063\u3066\u3001X\u304b\u3089Y\u3092\u8a08\u7b97\u3057\u3066\u3082\u3001 \u5b9f\u969b\u89b3\u6e2c\u3055\u308c\u305fY\u3068\u306f\u305a\u308c\u308b\u3002 \u305d\u306e\u305a\u308c\u3092\u6b8b\u5dee\u3068\u8a00\u3046\u3002<\/p>\n\n\n\n<p>\u6b8b\u5dee\u3092\u5c0f\u3055\u304f\u3059\u308b\u3088\u3046\u306b\u3057\u3066a\u3068b\u3092\u6c42\u3081\u308b\u3002 \u3053\u306e\u65b9\u6cd5\u304c\u6700\u5c0f\u4e8c\u4e57\u6cd5\u3002<\/p>\n\n\n\n<p>\u76f8\u95a2\u306b\u306f\u51fa\u3066\u3053\u306a\u3044\u767b\u5834\u4eba\u7269\u304c\u305f\u304f\u3055\u3093\u51fa\u3066\u304f\u308b\u306e\u304c\u3001\u56de\u5e30\u306e\u7279\u5fb4\u3060\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u76f8\u95a2\u3068\u56de\u5e30\u306e\u8003\u3048\u65b9\u306e\u9055\u3044\u306f\">\u76f8\u95a2\u3068\u56de\u5e30\u306e\u8003\u3048\u65b9\u306e\u9055\u3044\u306f\uff1f<\/h2>\n\n\n\n<p><span style=\"color: #000000;\" data-darkreader-inline-color=\"\"> \u76f8\u95a2\u306f\u3001X\u3068Y\u3068\u304c\u95a2\u4fc2\u3057\u3066\u3044\u308b\u304b\u3082\u3057\u308c\u306a\u3044\u3068\u306f\u8003\u3048\u3066\u3044\u308b\u304c\u3001 \u3069\u3061\u3089\u304c\u539f\u56e0\u3067\u3069\u3061\u3089\u304c\u7d50\u679c\u304b\u3092\u8003\u3048\u3066\u3044\u306a\u3044\u3002 <\/span><\/p>\n\n\n\n<p><span data-darkreader-inline-color=\"\" style=\"color: rgb(0, 0, 0); --darkreader-inline-color: 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#e8e6e3;\">X<\/span><span data-darkreader-inline-color=\"\" style=\"color: rgb(0, 0, 0); --darkreader-inline-color: #e8e6e3;\"> <\/span><span data-darkreader-inline-color=\"\" style=\"color: rgb(0, 0, 0); --darkreader-inline-color: #e8e6e3;\">+<\/span><span data-darkreader-inline-color=\"\" style=\"color: rgb(0, 0, 0); --darkreader-inline-color: #e8e6e3;\"> <\/span><span data-darkreader-inline-color=\"\" style=\"color: rgb(0, 0, 0); --darkreader-inline-color: #e8e6e3;\">b<\/span><span data-darkreader-inline-color=\"\" style=\"color: rgb(0, 0, 0); --darkreader-inline-color: #e8e6e3;\"> \u3060\u3002<\/span><\/p>\n\n\n\n<div id=\"biost-3137727386\" class=\"biost- biost-entity-placement\"><p style=\"text-align: center;\"><span style=\"font-size: 20px;\"><strong><a href=\"https:\/\/best-biostatistics.com\/kmhl\">\uff1e\uff1e\u3082\u3046\u7d71\u8a08\u3067\u60a9\u3080\u306e\u306f\u7d42\u308f\u308a\u306b\u3057\u307e\u305b\u3093\u304b\uff1f\u00a0<\/a><\/strong><\/span><\/p>\r\n<a href=\"https:\/\/best-biostatistics.com\/kmhl\"><img class=\"aligncenter wp-image-2794 size-full\" src=\"https:\/\/best-biostatistics.com\/wp\/wp-content\/uploads\/2023\/11\/bn_r_03.png\" alt=\"\" width=\"500\" height=\"327\" \/><\/a>\r\n<p style=\"text-align: center;\"><span style=\"color: #ff0000; font-size: 20px;\"><strong><span class=\"marker2\">\u21911\u4e07\u4eba\u4ee5\u4e0a\u306e\u533b\u7642\u5f93\u4e8b\u8005\u304c\u8cfc\u8aad\u4e2d<\/span><\/strong><\/span><\/p><\/div><h2 class=\"wp-block-heading\" id=\"\u76f8\u95a2\u3068\u56de\u5e30\u306e\u691c\u5b9a\u306e\u9055\u3044\u306f\">\u76f8\u95a2\u3068\u56de\u5e30\u306e\u691c\u5b9a\u306e\u9055\u3044\u306f\uff1f<\/h2>\n\n\n\n<p><span style=\"color: #000000;\" data-blogger-escaped-style=\"color: red;\" data-darkreader-inline-color=\"\"> \u76f8\u95a2\u306f\u3001 \u6bcd\u96c6\u56e3\u3067\u306e\u76f8\u95a2\u4fc2\u6570(\u6bcd\u76f8\u95a2\u4fc2\u6570) \u304c\u30bc\u30ed\u304b\u3069\u3046\u304b\u306e\u691c\u5b9a\u3092\u884c\u3046\u3002 \u5e30\u7121\u4eee\u8aac\u306f\u6bcd\u76f8\u95a2\u4fc2\u6570\u304c\u30bc\u30ed\u3002 \u7d71\u8a08\u5b66\u7684\u6709\u610f\u306b\u306a\u308a\u3001\u6bcd\u76f8\u95a2\u4fc2\u6570\u304c\u30bc\u30ed\u3067\u306f\u306a\u3044\u3068\u306e\u7d50\u679c\u3067\u3042\u308c\u3070\u3001\u6a19\u672c\u306e\u76f8\u95a2\u4fc2\u6570\u306e\u5927\u304d\u3055\u304b\u3089\u3001\u610f\u5473\u304c\u3042\u308b\u76f8\u95a2\u95a2\u4fc2\u304b\u3069\u3046\u304b\u3092\u898b\u6975\u3081\u308b\u3002<\/span><\/p>\n\n\n\n<p><span data-blogger-escaped-style=\"color: red;\" data-darkreader-inline-color=\"\" style=\"color: #000000;\">\u56de\u5e30\u306f\u3001\u56de\u5e30\u5f0f Y = aX + b \u306e\u56de\u5e30\u4fc2\u6570 a\u3001 \u3064\u307e\u308a1\u6b21\u76f4\u7dda\u306e\u50be\u304d\u304c \u30bc\u30ed\u304b\u3069\u3046\u304b\u306e\u691c\u5b9a\u3092\u884c\u3046\u3002 \u4eee\u8aac\u691c\u5b9a\u304c\u7d71\u8a08\u5b66\u7684\u306b\u6709\u610f\u3067\u3042\u308c\u3070\u3001 \u56de\u5e30\u4fc2\u6570\u304c\u30bc\u30ed\u3067\u306f\u306a\u3044\u3068\u7d50\u8ad6\u3067\u304d\u3066\u3001 \u56de\u5e30\u5f0f\u306b\u610f\u5473\u304c\u3042\u308b\u3068\u8a00\u3048\u308b\u3002 \u305f\u3060\u3057\u3001\u4e88\u6e2c\u6027\u80fd\u306f\u5225\u554f\u984c\u3002 \u5225\u9014\u3001\u30c1\u30a7\u30c3\u30af\u3059\u308b\u5fc5\u8981\u304c\u3042\u308b\u3002<\/span><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u76f8\u95a2\u4fc2\u6570\u3068\u56de\u5e30\u4fc2\u6570\u306e\u8a08\u7b97\u5f0f\u306e\u9055\u3044\u306f\">\u76f8\u95a2\u4fc2\u6570\u3068\u56de\u5e30\u4fc2\u6570\u306e\u8a08\u7b97\u5f0f\u306e\u9055\u3044\u306f\uff1f<\/h2>\n\n\n\n<p>\u76f8\u95a2\u4fc2\u6570\u306f\u3001\uff38\u3068\uff39\u306e\u5171\u5909\u52d5\u3092\uff38\u306e\u5909\u52d5\u3068\uff39\u306e\u5909\u52d5\u306e\u5e73\u65b9\u6839\u306e\u7a4d\u3067\u5272\u3063\u305f\u3082\u306e\u3067\u3042\u308b\u3002<\/p>\n\n\n\n<p>$$ \\frac{\\sum (X &#8211; \\bar{X}) (Y &#8211; \\bar{Y})}{\\sqrt{\\sum (X &#8211; \\bar{X})^2} \\sqrt{\\sum (Y &#8211; \\bar{Y})^2}} $$<\/p>\n\n\n\n\n\n\n\n<p>$ \\bar{X} $, $ \\bar{Y} $ \u306f\u3001\u305d\u308c\u305e\u308c X \u306e\u5e73\u5747\u3001Y \u306e\u5e73\u5747\u3067\u3042\u308b\u3002<\/p>\n\n\n\n<p>\u56de\u5e30\u4fc2\u6570\u306f\u3001X\u3068Y\u306e\u5171\u5909\u52d5\u3092X\u306e\u5909\u52d5\u3067\u5272\u3063\u305f\u3082\u306e\u3067\u3042\u308b\u3002<\/p>\n\n\n\n<p>$$ \\frac{\\sum (X &#8211; \\bar{X}) (Y &#8211; \\bar{Y})}{\\sum(X &#8211; \\bar{X})^2} $$<\/p>\n\n\n\n\n\n\n\n<p>\u306a\u306e\u3067\u3001\u5024\u306f\u5f53\u7136\u7570\u306a\u308b\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u307e\u3068\u3081\">\u307e\u3068\u3081<\/h2>\n\n\n\n<p><span style=\"color: #000000;\" data-darkreader-inline-color=\"\">\u6839\u672c\u7684\u306a\u9055\u3044\uff1a\u76f8\u95a2\u3068\u56de\u5e30\u306e\u9055\u3044\u306f\u3001 \u30c7\u30fc\u30bf X \u3068 \u30c7\u30fc\u30bf Y \u304c\u304a\u4e92\u3044\u540c\u3058\u7a0b\u5ea6\u306e\u5f71\u97ff\u529b\uff08\u540c\u69d8\u306e\u5f79\u5272\uff09\u3068\u8003\u3048\u308b\u76f8\u95a2\u304b\u3001 \u30c7\u30fc\u30bfX\u3067\u30c7\u30fc\u30bfY\u3092\u4e88\u6e2c\u3059\u308b\u3068\u8003\u3048\u308b\u56de\u5e30\u304b\u306e\u9055\u3044\u3002 <\/span><\/p>\n\n\n\n<p><span style=\"color: #000000;\" data-darkreader-inline-color=\"\">\u8003\u3048\u65b9\u306e\u9055\u3044\uff1a\u539f\u56e0\u3068\u7d50\u679c\u3092\u610f\u8b58\u3057\u306a\u3044\u76f8\u95a2\u304b\u3001 \u539f\u56e0\u3068\u7d50\u679c\u3092\u610f\u8b58\u3059\u308b\u56de\u5e30\u304b\u306e\u9055\u3044\u3002 <\/span><\/p>\n\n\n\n<p><span style=\"color: #000000;\" data-darkreader-inline-color=\"\">\u691c\u5b9a\u306e\u9055\u3044\uff1a\u6bcd\u76f8\u95a2\u4fc2\u6570\u304c\u30bc\u30ed\u304b\u3069\u3046\u304b\u306e\u691c\u5b9a\u3092\u3059\u308b\u306e\u304c\u76f8\u95a2\u3067\u3001 \u56de\u5e30\u4fc2\u6570\u304c\u30bc\u30ed\u304b\u3069\u3046\u304b\u306e\u691c\u5b9a\u3092\u3059\u308b\u306e\u304c\u56de\u5e30\u3002<\/span><\/p>\n\n\n\n<p>\u8a08\u7b97\u5f0f\u306e\u9055\u3044\uff1a\u76f8\u95a2\u4fc2\u6570\u3068\u56de\u5e30\u4fc2\u6570\u306f\u8a08\u7b97\u5f0f\u304c\u7570\u306a\u308b\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u76f8\u95a2\u3068\u56de\u5e30\u306e\u9055\u3044\u306f\u4f55\u304b\u52d5\u753b\">\u76f8\u95a2\u3068\u56de\u5e30\u306e\u9055\u3044\u306f\u4f55\u304b\uff1f\u3010\u52d5\u753b\u3011<\/h2>\n\n\n\n<p><iframe width=\"560\" height=\"315\" src=\"\/\/www.youtube.com\/embed\/PYwhjVvGAFo\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\" id=\"widget2\"><\/iframe><br><a href=\"https:\/\/youtube.com\/watch?v=PYwhjVvGAFo\">\u76f8\u95a2\u5206\u6790\u3068\u56de\u5e30\u5206\u6790\u306e\u9055\u3044\u306f\u4f55\u304b\uff1f\u3010\u7d71\u8a08ER\u306e\u304a\u52a9\u3051\u30c8\u30fc\u30af\u3011<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u76f8\u95a2\u3068\u56de\u5e30\u306f\u3069\u3046\u9055\u3046\u304b\uff1f 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