{"id":323,"date":"2023-08-02T11:12:20","date_gmt":"2023-08-02T11:12:20","guid":{"rendered":"https:\/\/statorials.org\/ja\/%e5%9b%9e%e5%b8%b0%e5%88%86%e6%9e%90\/"},"modified":"2023-08-02T11:12:20","modified_gmt":"2023-08-02T11:12:20","slug":"%e5%9b%9e%e5%b8%b0%e5%88%86%e6%9e%90","status":"publish","type":"post","link":"https:\/\/statorials.org\/ja\/%e5%9b%9e%e5%b8%b0%e5%88%86%e6%9e%90\/","title":{"rendered":"\u56de\u5e30\u5206\u6790"},"content":{"rendered":"<p>\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001\u56de\u5e30\u5206\u6790\u3068\u306f\u4f55\u306a\u306e\u304b\u3001\u7d71\u8a08\u3067\u4f55\u306b\u4f7f\u7528\u3055\u308c\u308b\u306e\u304b\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u3055\u307e\u3056\u307e\u306a\u7a2e\u985e\u306e\u56de\u5e30\u5206\u6790\u304c\u4f55\u3067\u3042\u308b\u304b\u3092\u78ba\u8a8d\u3067\u304d\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-el-analisis-de-regresion\"><\/span>\u56de\u5e30\u5206\u6790\u3068\u306f\u4f55\u3067\u3059\u304b?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u7d71\u8a08\u5b66\u306b\u304a\u3051\u308b<strong>\u56de\u5e30\u5206\u6790\u306f<\/strong>\u30012 \u3064\u4ee5\u4e0a\u306e\u5909\u6570\u9593\u306e\u95a2\u4fc2\u3092\u7814\u7a76\u3059\u308b\u30d7\u30ed\u30bb\u30b9\u3067\u3059\u3002\u3088\u308a\u5177\u4f53\u7684\u306b\u306f\u3001\u56de\u5e30\u5206\u6790\u306b\u306f\u3001\u7814\u7a76\u5185\u306e\u5909\u6570\u3092\u6570\u5b66\u7684\u306b\u95a2\u9023\u4ed8\u3051\u308b\u65b9\u7a0b\u5f0f\u306e\u8a08\u7b97\u304c\u542b\u307e\u308c\u307e\u3059\u3002<\/p>\n<p>\u56de\u5e30\u5206\u6790\u3067\u69cb\u7bc9\u3055\u308c\u305f\u30e2\u30c7\u30eb\u306f\u56de\u5e30\u30e2\u30c7\u30eb\u3068\u547c\u3070\u308c\u3001\u8abf\u67fb\u5bfe\u8c61\u306e\u5909\u6570\u3092\u95a2\u9023\u4ed8\u3051\u308b\u65b9\u7a0b\u5f0f\u306f\u56de\u5e30\u65b9\u7a0b\u5f0f\u3068\u547c\u3070\u308c\u307e\u3059\u3002<\/p>\n<p>\u305f\u3068\u3048\u3070\u3001\u56fd\u306e\u30a4\u30f3\u30d5\u30ec\u3068 GDP \u306e\u95a2\u4fc2\u3092\u8abf\u67fb\u3057\u305f\u3044\u5834\u5408\u306f\u3001\u56de\u5e30\u5206\u6790\u3092\u5b9f\u884c\u3057\u3066 2 \u3064\u306e\u5909\u6570\u9593\u306e\u95a2\u4fc2\u3092\u5206\u6790\u3067\u304d\u307e\u3059\u3002\u3053\u306e\u5834\u5408\u3001\u56de\u5e30\u5206\u6790\u304b\u3089\u5f97\u3089\u308c\u308b\u65b9\u7a0b\u5f0f\u306f\u56de\u5e30\u76f4\u7dda\u306b\u306a\u308a\u307e\u3059\u3002 <\/p>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/ligne-de-regression.png\" alt=\"\u56de\u5e30\u5206\u6790\" class=\"wp-image-6708\" width=\"274\" height=\"256\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u56de\u5e30\u5206\u6790\u306f\u30c7\u30fc\u30bf\u306e\u30b5\u30f3\u30d7\u30eb\u3092\u53ce\u96c6\u3059\u308b\u3053\u3068\u304b\u3089\u69cb\u6210\u3055\u308c\u3001\u53ce\u96c6\u3055\u308c\u305f\u30c7\u30fc\u30bf\u304b\u3089\u3001\u8abf\u67fb\u5bfe\u8c61\u306e\u5909\u6570\u3092\u6570\u5b66\u7684\u306b\u95a2\u9023\u4ed8\u3051\u308b\u65b9\u7a0b\u5f0f\u304c\u8a08\u7b97\u3055\u308c\u307e\u3059\u3002<\/p>\n<p>\u56de\u5e30\u5206\u6790\u3067\u306f\u3001\u56de\u5e30\u30e2\u30c7\u30eb\u306b\u542b\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u6b21\u306e 2 \u7a2e\u985e\u306e\u5909\u6570\u3092\u533a\u5225\u3059\u308b\u3053\u3068\u304c\u91cd\u8981\u3067\u3059\u3002<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u5f93\u5c5e\u5909\u6570 (\u307e\u305f\u306f\u5fdc\u7b54\u5909\u6570)<\/strong> : \u3053\u308c\u306f\u5206\u6790\u3057\u305f\u3044\u8981\u7d20\u3067\u3042\u308b\u305f\u3081\u3001\u3053\u306e\u5909\u6570\u306e\u5024\u304c\u4ed6\u306e\u5909\u6570\u306e\u5024\u306b\u5fdc\u3058\u3066\u3069\u306e\u3088\u3046\u306b\u5909\u5316\u3059\u308b\u304b\u3092\u78ba\u8a8d\u3059\u308b\u305f\u3081\u306b\u56de\u5e30\u30e2\u30c7\u30eb\u304c\u69cb\u7bc9\u3055\u308c\u307e\u3059\u3002<\/span><\/li>\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u72ec\u7acb\u5909\u6570 (\u307e\u305f\u306f\u8aac\u660e\u5909\u6570)<\/strong> : \u5206\u6790\u3057\u305f\u3044\u5909\u6570\u306b\u5f71\u97ff\u3092\u4e0e\u3048\u308b\u53ef\u80fd\u6027\u304c\u9ad8\u3044\u3068\u8003\u3048\u3089\u308c\u308b\u8981\u56e0\u3067\u3059\u3002\u3064\u307e\u308a\u3001\u72ec\u7acb\u5909\u6570\u306e\u5024\u306f\u5f93\u5c5e\u5909\u6570\u306e\u5024\u306b\u5f71\u97ff\u3092\u4e0e\u3048\u307e\u3059\u3002<\/span> <\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"tipos-de-analisis-de-regresion\"><\/span>\u56de\u5e30\u5206\u6790\u306e\u7a2e\u985e<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u57fa\u672c\u7684\u306b\u3001<strong>\u56de\u5e30\u5206\u6790\u306b\u306f 3 \u3064\u306e\u30bf\u30a4\u30d7\u304c<\/strong>\u3042\u308a\u307e\u3059\u3002<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u5358\u7d14\u7dda\u5f62\u56de\u5e30\u5206\u6790<\/strong>: \u56de\u5e30\u30e2\u30c7\u30eb\u306b\u306f\u72ec\u7acb\u5909\u6570\u3068\u5f93\u5c5e\u5909\u6570\u304c\u3042\u308a\u3001\u305d\u308c\u3089\u306f\u7dda\u5f62\u306b\u95a2\u9023\u3057\u3066\u3044\u307e\u3059\u3002<\/span><\/li>\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u91cd\u56de\u5e30\u5206\u6790<\/strong>: 2 \u3064\u4ee5\u4e0a\u306e\u72ec\u7acb\u5909\u6570\u304c\u5f93\u5c5e\u5909\u6570\u3068\u7dda\u5f62\u306b\u95a2\u4fc2\u3057\u307e\u3059\u3002<\/span><\/li>\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u975e\u7dda\u5f62\u56de\u5e30\u5206\u6790<\/strong>: \u72ec\u7acb\u5909\u6570\u3068\u5f93\u5c5e\u5909\u6570\u306e\u9593\u306e\u95a2\u4fc2\u306f\u3001\u975e\u7dda\u5f62\u95a2\u6570\u3092\u4f7f\u7528\u3057\u3066\u30e2\u30c7\u30eb\u5316\u3055\u308c\u307e\u3059\u3002<\/span> <\/li>\n<\/ul>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"analisis-de-regresion-lineal-simple\"><\/span>\u5358\u7d14\u306a\u7dda\u5f62\u56de\u5e30\u5206\u6790<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>\u5358\u7d14\u306a\u7dda\u5f62\u56de\u5e30\u306f\u3001<\/strong>\u7dda\u5f62\u65b9\u7a0b\u5f0f\u3092\u4f7f\u7528\u3057\u3066\u72ec\u7acb\u5909\u6570\u3092\u4e21\u65b9\u306e\u5909\u6570\u306b\u95a2\u9023\u4ed8\u3051\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002<\/p>\n<p>\u5358\u7d14\u306a\u7dda\u5f62\u56de\u5e30\u30e2\u30c7\u30eb\u306e\u65b9\u7a0b\u5f0f\u306f\u76f4\u7dda\u3067\u3042\u308b\u305f\u3081\u3001\u65b9\u7a0b\u5f0f\u306e\u5b9a\u6570 (\u03b2 <sub>0<\/sub> ) \u3068 2 \u3064\u306e\u5909\u6570\u9593\u306e\u76f8\u95a2\u4fc2\u6570 (\u03b2 <sub>1<\/sub> ) \u306e 2 \u3064\u306e\u4fc2\u6570\u3067\u69cb\u6210\u3055\u308c\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u5358\u7d14\u306a\u7dda\u5f62\u56de\u5e30\u30e2\u30c7\u30eb\u306e\u65b9\u7a0b\u5f0f\u306f y=\u03b2 <sub>0<\/sub> +\u03b2 <sub>1<\/sub> x \u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-83e43f626a469e9de3d5ecfed9a216ac_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=\\beta_0+\\beta_1x\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"100\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p><strong>\u5358\u56de\u5e30\u306e\u4fc2\u6570\u3092\u8a08\u7b97\u3059\u308b\u5f0f\u306f<\/strong>\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-459281504d26f92756115054ef567021_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}\\beta_1=\\cfrac{\\displaystyle \\sum_{i=1}^n (x_i-\\overline{x})(y_i-\\overline{y})}{\\displaystyle \\sum_{i=1}^n (x_i-\\overline{x})^2}\\\\[12ex]\\beta_0=\\overline{y}-\\beta_1\\overline{x}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"176\" width=\"192\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\">\u91d1\uff1a<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-c5ba513cc7e504bc674f76afa70a3442_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\beta_0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"17\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u56de\u5e30\u76f4\u7dda\u306e\u5b9a\u6570\u3067\u3059\u3002<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-dff50ab66b848b910ea781069cba1094_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\beta_1\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"16\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u306f\u56de\u5e30\u76f4\u7dda\u306e\u50be\u304d\u3067\u3059\u3002<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-dad27a9703483183e1afd245f5232b83_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x_i\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"15\" style=\"vertical-align: -3px;\"><\/p>\n<p>\u30c7\u30fc\u30bf i \u306e\u72ec\u7acb\u5909\u6570 X \u306e\u5024\u3067\u3059\u3002<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-761333a1d61654bd1cb5c7224b0d1994_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y_i\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u30c7\u30fc\u30bf i \u306e\u5f93\u5c5e\u5909\u6570 Y \u306e\u5024\u3067\u3059\u3002<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-a39858a792fb4fe9a3173e004701f2a7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{x}\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u72ec\u7acb\u5909\u6570\u306e\u5024\u306e\u5e73\u5747\u3067\u3059<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-ed5becac4ccb36fec040f449ba9fa52d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{y}\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"10\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u5f93\u5c5e\u5909\u6570 Y \u306e\u5024\u306e\u5e73\u5747\u3067\u3059\u3002 <\/li>\n<\/ul>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span><strong>\u53c2\u7167:<\/strong><a href=\"https:\/\/statorials.org\/ja\/\u5358\u7d14\u306a\u7dda\u5f62\u56de\u5e30\/\">\u5358\u7d14\u306a\u7dda\u5f62\u56de\u5e30<\/a><\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"analisis-de-regresion-lineal-multiple\"><\/span>\u91cd\u56de\u5e30\u5206\u6790<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>\u91cd\u7dda\u5f62\u56de\u5e30<\/strong>\u30e2\u30c7\u30eb\u306b\u306f\u3001\u5c11\u306a\u304f\u3068\u3082 2 \u3064\u306e\u72ec\u7acb\u5909\u6570\u304c\u542b\u307e\u308c\u307e\u3059\u3002\u8a00\u3044\u63db\u3048\u308c\u3070\u3001\u91cd\u7dda\u5f62\u56de\u5e30\u3067\u306f\u3001\u3044\u304f\u3064\u304b\u306e\u8aac\u660e\u5909\u6570\u3092\u5fdc\u7b54\u5909\u6570\u306b\u7dda\u5f62\u306b\u30ea\u30f3\u30af\u3055\u305b\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u91cd\u7dda\u5f62\u56de\u5e30\u30e2\u30c7\u30eb\u306e\u65b9\u7a0b\u5f0f\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-fd3ba8386b5954b654ca555774108ac0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=\\beta_0+\\beta_1 x_1+\\beta_2 x_2+\\dots+\\beta_m x_m+\\varepsilon\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"305\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\">\u91d1\uff1a<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-38461fc041e953482219abf5d4cce1cb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u306f\u5f93\u5c5e\u5909\u6570\u3067\u3059\u3002<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-dad27a9703483183e1afd245f5232b83_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x_i\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"15\" style=\"vertical-align: -3px;\"><\/p>\n<p>\u306f\u72ec\u7acb\u5909\u6570 i \u3067\u3059\u3002<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-c5ba513cc7e504bc674f76afa70a3442_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\beta_0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"17\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u91cd\u56de\u5e30\u5f0f\u306e\u5b9a\u6570\u3067\u3059\u3002<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-ff540c55c6ee8f10a1dab8e2422947ab_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\beta_i\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"15\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u5909\u6570\u306b\u95a2\u9023\u4ed8\u3051\u3089\u308c\u305f\u56de\u5e30\u4fc2\u6570\u3067\u3059<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-dad27a9703483183e1afd245f5232b83_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x_i\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"15\" style=\"vertical-align: -3px;\"><\/p>\n<p>\u3002<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-29b8f7fac5f2df4b101dff63e95516c5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{\\varepsilon}\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u8aa4\u5dee\u307e\u305f\u306f\u6b8b\u5dee\u3001\u3064\u307e\u308a\u89b3\u6e2c\u5024\u3068\u30e2\u30c7\u30eb\u306b\u3088\u3063\u3066\u63a8\u5b9a\u3055\u308c\u305f\u5024\u306e\u5dee\u3067\u3059\u3002<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-fdc40b8ad1cdad0aab9d632215459d28_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"15\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u306f\u30e2\u30c7\u30eb\u5185\u306e\u5909\u6570\u306e\u7dcf\u6570\u3067\u3059\u3002<\/li>\n<\/ul>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u5408\u8a08\u304c\u542b\u307e\u308c\u308b\u30b5\u30f3\u30d7\u30eb\u304c\u3042\u308b\u5834\u5408\u3001<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-ec4217f4fa5fcd92a9edceba0e708cf7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u89b3\u5bdf\u7d50\u679c\u3092\u57fa\u306b\u3001\u884c\u5217\u5f62\u5f0f\u3067\u91cd\u7dda\u5f62\u56de\u5e30\u30e2\u30c7\u30eb\u3092\u7acb\u3066\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-5848686c8ed0857f16e7e24e2a31024e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{pmatrix}y_1\\\\y_2\\\\\\vdots\\\\y_n\\end{pmatrix}=\\begin{pmatrix}1&amp;x_{11}&amp;\\dots&amp;x_{1m}\\\\1&amp;x_{21}&amp;\\dots&amp;x_{2m}\\\\ \\vdots&amp;\\vdots&amp;\\ddots&amp;\\vdots\\\\1&amp;x_{n1}&amp;\\dots&amp;x_{nm}\\end{pmatrix}\\cdot\\begin{pmatrix}\\beta_0\\\\\\beta_1\\\\\\vdots\\\\\\beta_m\\end{pmatrix}+\\begin{pmatrix}\\varepsilon_1\\\\\\varepsilon_2\\\\\\vdots\\\\\\varepsilon_n\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"96\" width=\"370\" style=\"vertical-align: -43px;\"><\/p>\n<\/p>\n<p>\u4e0a\u8a18\u306e\u884c\u5217\u5f0f\u306f\u3001\u5404\u884c\u5217\u306b\u6587\u5b57\u3092\u5272\u308a\u5f53\u3066\u308b\u3053\u3068\u3067\u66f8\u304d\u63db\u3048\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-7614ddbb78ced2e2b8b6c7642d9969c3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Y=X\\beta+\\varepsilon\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"95\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u6700\u5c0f\u4e8c\u4e57\u57fa\u6e96\u3092\u9069\u7528\u3059\u308b\u3068\u3001<strong>\u91cd\u7dda\u5f62\u56de\u5e30\u30e2\u30c7\u30eb\u306e\u4fc2\u6570\u3092\u63a8\u5b9a\u3059\u308b\u305f\u3081\u306e\u5f0f<\/strong>\u306b\u5230\u9054\u3067\u304d\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-b6ef097cee722e7355fa4eb77b7ea3e5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\widehat{\\beta}=\\left(X^tX\\right)^{-1}X^tY\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"146\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p>\u305f\u3060\u3057\u3001\u3053\u306e\u516c\u5f0f\u306e\u9069\u7528\u306f\u975e\u5e38\u306b\u624b\u9593\u3068\u6642\u9593\u304c\u304b\u304b\u308b\u305f\u3081\u3001\u5b9f\u969b\u306b\u306f\u3001\u91cd\u56de\u5e30\u30e2\u30c7\u30eb\u3092\u3088\u308a\u8fc5\u901f\u306b\u4f5c\u6210\u3067\u304d\u308b\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u30fc \u30bd\u30d5\u30c8\u30a6\u30a7\u30a2 (Minitab \u3084 Excel \u306a\u3069) \u3092\u4f7f\u7528\u3059\u308b\u3053\u3068\u3092\u304a\u52e7\u3081\u3057\u307e\u3059\u3002 <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span><strong>\u53c2\u7167:<\/strong><a href=\"https:\/\/statorials.org\/ja\/\u91cd\u7dda\u5f62\u56de\u5e30-1\/\">\u91cd\u7dda\u5f62\u56de\u5e30<\/a><\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"analisis-de-regresion-no-lineal\"><\/span>\u975e\u7dda\u5f62\u56de\u5e30\u5206\u6790<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u7d71\u8a08\u5b66\u306b\u304a\u3051\u308b<strong>\u975e\u7dda\u5f62\u56de\u5e30\u306f<\/strong>\u3001\u56de\u5e30\u5f0f\u306e\u30e2\u30c7\u30eb\u3068\u3057\u3066\u975e\u7dda\u5f62\u95a2\u6570\u304c\u4f7f\u7528\u3055\u308c\u308b\u56de\u5e30\u306e\u4e00\u7a2e\u3067\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u975e\u7dda\u5f62\u56de\u5e30\u30e2\u30c7\u30eb\u306e\u65b9\u7a0b\u5f0f\u306f\u975e\u7dda\u5f62\u95a2\u6570\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u8ad6\u7406\u7684\u306b\u306f\u3001\u975e\u7dda\u5f62\u56de\u5e30\u306f\u30012 \u3064\u306e\u5909\u6570\u9593\u306e\u95a2\u4fc2\u304c\u7dda\u5f62\u3067\u306f\u306a\u3044\u5834\u5408\u306b\u3001\u72ec\u7acb\u5909\u6570\u3092\u5f93\u5c5e\u5909\u6570\u306b\u95a2\u9023\u4ed8\u3051\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u30b5\u30f3\u30d7\u30eb\u30c7\u30fc\u30bf\u3092\u30b0\u30e9\u30d5\u5316\u3059\u308b\u3068\u304d\u306b\u3001\u305d\u308c\u3089\u304c\u7dda\u5f62\u95a2\u4fc2\u3092\u6301\u305f\u306a\u3044\u3053\u3068\u304c\u89b3\u5bdf\u3055\u308c\u305f\u5834\u5408\u3001\u3064\u307e\u308a\u3001\u305d\u308c\u3089\u304c\u307b\u307c\u76f4\u7dda\u3092\u5f62\u6210\u3057\u3066\u3044\u306a\u3044\u5834\u5408\u306f\u3001\u300c\u975e\u7dda\u5f62\u56de\u5e30\u30e2\u30c7\u30eb\u3092\u4f7f\u7528\u3059\u308b\u300d\u65b9\u304c\u9069\u5207\u3067\u3059\u3002<\/p>\n<p>\u305f\u3068\u3048\u3070\u3001\u65b9\u7a0b\u5f0f y=3-5x-8x <sup>2<\/sup> +x <sup>3<\/sup>\u306f\u30013 \u6b21\u95a2\u6570\u3092\u4ecb\u3057\u3066\u72ec\u7acb\u5909\u6570 X \u3092\u5f93\u5c5e\u5909\u6570 Y \u306b\u6570\u5b66\u7684\u306b\u95a2\u4fc2\u4ed8\u3051\u308b\u305f\u3081\u3001\u975e\u7dda\u5f62\u56de\u5e30\u30e2\u30c7\u30eb\u3067\u3059\u3002<\/p>\n<p><strong>\u975e\u7dda\u5f62\u56de\u5e30\u306b\u306f\u4e3b\u306b 3 \u3064\u306e\u30bf\u30a4\u30d7\u304c<\/strong>\u3042\u308a\u307e\u3059\u3002<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u591a\u9805\u5f0f\u56de\u5e30<\/strong>\u2013 \u65b9\u7a0b\u5f0f\u304c\u591a\u9805\u5f0f\u306e\u5f62\u5f0f\u3067\u3042\u308b\u975e\u7dda\u5f62\u56de\u5e30\u3002<\/span><\/li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-0b684a8af5be9015ef551c6013756a29_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=\\beta_0+\\beta_1 x+\\beta_2 x^2+\\beta_3 x^3+\\dots+\\beta_m x^m\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"324\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u5bfe\u6570\u56de\u5e30<\/strong>\u2013 \u72ec\u7acb\u5909\u6570\u304c\u5bfe\u6570\u5316\u3055\u308c\u308b\u975e\u7dda\u5f62\u56de\u5e30\u3002<\/span><\/li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-54ceab784abf0ace94d994be655104ba_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=\\beta_0+\\beta_1\\cdot \\ln(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"141\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u6307\u6570\u56de\u5e30<\/strong>\u2013 \u72ec\u7acb\u5909\u6570\u304c\u65b9\u7a0b\u5f0f\u306e\u6307\u6570\u306b\u5b58\u5728\u3059\u308b\u975e\u7dda\u5f62\u56de\u5e30\u3002<\/span> <\/li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-3718ef8d7502decf6f62fb5c9fdded80_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=\\beta_0\\cdot e^{\\beta_1\\cdot x}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"98\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<\/ul>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span><strong>\u53c2\u7167:<\/strong><a href=\"https:\/\/statorials.org\/ja\/\u975e\u7dda\u5f62\u56de\u5e30\/\">\u975e\u7dda\u5f62\u56de\u5e30<\/a><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfpara-que-sirve-el-analisis-de-regresion\"><\/span>\u56de\u5e30\u5206\u6790\u306f\u4f55\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u304b?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u56de\u5e30\u5206\u6790\u306b\u306f\u57fa\u672c\u7684\u306b 2 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