{"id":75,"date":"2023-08-05T17:37:55","date_gmt":"2023-08-05T17:37:55","guid":{"rendered":"https:\/\/statorials.org\/ja\/%e5%85%b1%e5%88%86%e6%95%a3\/"},"modified":"2023-08-05T17:37:55","modified_gmt":"2023-08-05T17:37:55","slug":"%e5%85%b1%e5%88%86%e6%95%a3","status":"publish","type":"post","link":"https:\/\/statorials.org\/ja\/%e5%85%b1%e5%88%86%e6%95%a3\/","title":{"rendered":"\u5171\u5206\u6563"},"content":{"rendered":"<p>\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001\u5171\u5206\u6563\u3068\u306f\u4f55\u304b\u3001\u307e\u305f\u305d\u306e\u8a08\u7b97\u65b9\u6cd5\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002\u5171\u5206\u6563\u306e\u5f0f\u3068\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306e\u5171\u5206\u6563\u306e\u8a08\u7b97\u4f8b\u304c\u898b\u3064\u304b\u308a\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u6700\u5f8c\u306b\u30aa\u30f3\u30e9\u30a4\u30f3\u8a08\u7b97\u6a5f\u3092\u4f7f\u7528\u3057\u3066\u3001\u4efb\u610f\u306e\u30c7\u30fc\u30bf\u7cfb\u5217\u306e\u5171\u5206\u6563\u3092\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-covarianza\"><\/span>\u5171\u5206\u6563\u3068\u306f\u4f55\u3067\u3059\u304b?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u7d71\u8a08\u5b66\u306b\u304a\u3051\u308b<strong>\u5171\u5206\u6563\u306f<\/strong>\u30012 \u3064\u306e\u78ba\u7387\u5909\u6570\u306e\u5171\u540c\u5909\u52d5\u306e\u7a0b\u5ea6\u3092\u793a\u3059\u5024\u3067\u3059\u3002\u8a00\u3044\u63db\u3048\u308c\u3070\u3001\u5171\u5206\u6563\u306f 2 \u3064\u306e\u5909\u6570\u9593\u306e\u4f9d\u5b58\u95a2\u4fc2\u3092\u5206\u6790\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002<\/p>\n<p>\u5171\u5206\u6563\u306f\u30012 \u3064\u306e\u5909\u6570\u306e\u30c7\u30fc\u30bf\u3068\u305d\u308c\u305e\u308c\u306e\u5e73\u5747\u306e\u5dee\u306e\u7a4d\u306e\u5408\u8a08\u3092\u30c7\u30fc\u30bf\u306e\u7dcf\u6570\u3067\u5272\u3063\u305f\u3082\u306e\u306b\u7b49\u3057\u304f\u306a\u308a\u307e\u3059\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/covariance.png\" alt=\"\u5171\u5206\u6563\" class=\"wp-image-1610\" width=\"301\" height=\"191\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> \ud83d\udc49<u style=\"text-decoration-color:#FF8A05;\">\u4ee5\u4e0b\u306e\u8a08\u7b97\u6a5f\u3092\u4f7f\u7528\u3057\u3066\u3001\u4efb\u610f\u306e\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306e\u5171\u5206\u6563\u3092\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002<\/u><\/p>\n<p>\u5171\u5206\u6563\u5024\u306e\u89e3\u91c8\u306f\u975e\u5e38\u306b\u7c21\u5358\u3067\u3059\u3002<\/p>\n<ul>\n<li><strong>\u5171\u5206\u6563\u304c\u6b63\u306e<\/strong>\u5834\u5408\u30012 \u3064\u306e\u5909\u6570\u9593\u306b\u4f9d\u5b58\u95a2\u4fc2\u304c\u3042\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u30011 \u3064\u306e\u5909\u6570\u306e\u5024\u304c\u5897\u52a0\u3059\u308b\u3068\u3001\u4ed6\u306e\u5909\u6570\u3082\u5897\u52a0\u3057\u3001\u305d\u306e\u9006\u3082\u540c\u69d8\u3067\u3059\u3002<\/li>\n<li><strong>\u5171\u5206\u6563\u304c\u8ca0<\/strong>\u306e\u5834\u5408\u30012 \u3064\u306e\u5909\u6570\u9593\u306e\u95a2\u4fc2\u304c\u8ca0\u3067\u3042\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u30011 \u3064\u306e\u5909\u6570\u306e\u5024\u304c\u5897\u52a0\u3059\u308b\u3068\u3001\u3082\u3046 1 \u3064\u306e\u5909\u6570\u306e\u5024\u304c\u6e1b\u5c11\u3057\u3001\u305d\u306e\u9006\u3082\u540c\u69d8\u3067\u3059\u3002<\/li>\n<li><strong>\u5171\u5206\u6563\u304c\u30bc\u30ed<\/strong>(\u307e\u305f\u306f\u305d\u306e\u5024\u304c\u30bc\u30ed\u306b\u8fd1\u3044) \u306e\u5834\u5408\u3001\u3053\u308c\u306f 2 \u3064\u306e\u5909\u6570\u9593\u306b\u95a2\u4fc2\u304c\u306a\u3044\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002\u8a00\u3044\u63db\u3048\u308c\u3070\u30012 \u3064\u306e\u78ba\u7387\u5909\u6570\u306f\u72ec\u7acb\u3057\u3066\u3044\u307e\u3059\u3002 <\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"como-calcular-la-covarianza\"><\/span>\u5171\u5206\u6563\u306e\u8a08\u7b97\u65b9\u6cd5<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u30c7\u30fc\u30bf\u7cfb\u5217\u306e\u5171\u5206\u6563\u3092\u8a08\u7b97\u3059\u308b\u306b\u306f\u3001\u6b21\u306e\u624b\u9806\u3092\u5b9f\u884c\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<ol style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:12px\"><span style=\"color:#101010;font-weight: normal;\">\u5404\u5909\u6570\u306e\u5e73\u5747\u3092\u500b\u5225\u306b\u8a08\u7b97\u3057\u307e\u3059\u3002<\/span><\/li>\n<li style=\"margin-bottom:12px\"><span style=\"color:#101010;font-weight: normal;\">\u5404\u5909\u6570\u306b\u3064\u3044\u3066\u3001\u305d\u306e\u5404\u5024\u3068\u5909\u6570\u306e\u5e73\u5747\u306e\u5dee\u3092\u898b\u3064\u3051\u307e\u3059\u3002<\/span><\/li>\n<li style=\"margin-bottom:12px\"><span style=\"color:#101010;font-weight: normal;\">\u5404\u30c7\u30fc\u30bf \u30dd\u30a4\u30f3\u30c8\u306b\u3064\u3044\u3066\u3001\u524d\u306e\u624b\u9806\u3067\u8a08\u7b97\u3055\u308c\u305f\u5dee\u3092\u4e57\u7b97\u3057\u307e\u3059\u3002<\/span><\/li>\n<li style=\"margin-bottom:12px\"><span style=\"color:#101010;font-weight: normal;\">\u524d\u306e\u30b9\u30c6\u30c3\u30d7\u3067\u5f97\u3089\u308c\u305f\u3059\u3079\u3066\u306e\u7d50\u679c\u3092\u5408\u8a08\u3057\u307e\u3059\u3002<\/span><\/li>\n<li><span style=\"color:#101010;font-weight: normal;\">\u30c7\u30fc\u30bf\u306e\u7dcf\u6570\u3067\u5272\u308a\u307e\u3059\u3002\u5f97\u3089\u308c\u305f\u5024\u306f\u30c7\u30fc\u30bf\u7cfb\u5217\u306e\u5171\u5206\u6563\u3067\u3059\u3002<\/span><\/li>\n<\/ol>\n<p>\u8981\u7d04\u3059\u308b\u3068\u30012 \u3064\u306e\u5909\u6570\u9593\u306e\u5171\u5206\u6563\u3092\u8a08\u7b97\u3059\u308b\u5f0f\u306f\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-6e8484a2dfa35044eae76362ca631df2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Cov(X,Y)=\\cfrac{\\displaystyle \\sum_{i=1}^n (x_i-\\overline{x})(y_i-\\overline{y})}{n}\" title=\"Rendered by QuickLaTeX.com\" height=\"70\" width=\"257\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> 2 \u3064\u306e\u5909\u6570\u9593\u306e\u5171\u5206\u6563\u3092\u62bd\u51fa\u3059\u308b\u305f\u3081\u306e\u5f37\u304f\u63a8\u5968\u3055\u308c\u308b\u65b9\u6cd5\u306f\u3001\u3059\u3079\u3066\u306e\u30c7\u30fc\u30bf \u30da\u30a2\u3092\u542b\u3080\u30c6\u30fc\u30d6\u30eb\u3092\u4f5c\u6210\u3057\u3001\u4e0a\u3067\u8aac\u660e\u3057\u305f\u5404\u624b\u9806\u306b\u5217\u3092\u8ffd\u52a0\u3059\u308b\u3053\u3068\u3067\u3059\u3002\u3053\u3046\u3059\u308b\u3053\u3068\u3067\u3001\u8a08\u7b97\u304c\u3088\u308a\u6574\u7406\u3055\u308c\u3001\u4f55\u3092\u3057\u3066\u3044\u308b\u306e\u304b\u3092\u3088\u308a\u3088\u304f\u7406\u89e3\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-del-calculo-de-la-covarianza\"><\/span>\u5171\u5206\u6563\u8a08\u7b97\u306e\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5171\u5206\u6563\u306e\u5b9a\u7fa9\u3092\u8003\u616e\u3057\u3066\u3001\u3053\u306e\u30bf\u30a4\u30d7\u306e\u7d71\u8a08\u7684\u5c3a\u5ea6\u3092\u8a08\u7b97\u3059\u308b\u6bb5\u968e\u7684\u306a\u4f8b\u3092\u4ee5\u4e0b\u306b\u793a\u3057\u307e\u3059\u3002\u76ee\u7684\u306f\u3001\u5171\u5206\u6563\u306e\u6982\u5ff5\u3068 2 \u3064\u306e\u5909\u6570\u9593\u306e\u76f8\u95a2\u95a2\u4fc2\u3092\u5206\u6790\u3059\u308b\u65b9\u6cd5\u3092\u3088\u308a\u6df1\u304f\u7406\u89e3\u3059\u308b\u3053\u3068\u3067\u3059\u3002<\/p>\n<ul>\n<li>\u6b21\u306e\u7d71\u8a08\u30c7\u30fc\u30bf \u30bb\u30c3\u30c8\u306e\u5171\u5206\u6563\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002 <\/li>\n<\/ul>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/exemple-donnees-variables-aleatoires.png\" alt=\"\" class=\"wp-image-1612\" width=\"116\" height=\"286\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u307e\u305a\u3001\u5404\u5909\u6570\u306e\u7b97\u8853\u5e73\u5747\u3092\u8a08\u7b97\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u308c\u3092\u884c\u3046\u306b\u306f\u3001\u5404\u5909\u6570\u306e\u5024\u306e\u5408\u8a08\u3092\u30c7\u30fc\u30bf\u306e\u7dcf\u6570\u3067\u5272\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-4cbd143f38881aba1c648a4d6f306adf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{x}=\\cfrac{58}{10}=5,8\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"103\" style=\"vertical-align: -12px;\"><\/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-a19af98b2edc689420b116d93fffbe6c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{y}=\\cfrac{51}{10}=5,1\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"101\" style=\"vertical-align: -12px;\"><\/p>\n<\/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\/\u7b97\u8853\u5e73\u5747\/\">\u7b97\u8853\u5f0f\u306e\u5e73\u5747<\/a><\/div>\n<p>\u5404\u78ba\u7387\u5909\u6570\u306e\u5e73\u5747\u3092\u6c7a\u5b9a\u3057\u305f\u3089\u3001\u6b21\u306e\u5217\u3092\u30c7\u30fc\u30bf \u30c6\u30fc\u30d6\u30eb\u306b\u8ffd\u52a0\u3057\u3066\u5171\u5206\u6563\u3092\u53d6\u5f97\u3067\u304d\u307e\u3059\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/exercice-de-covariance-resolu.png\" alt=\"\u5171\u5206\u6563\u6f14\u7fd2\u304c\u89e3\u6c7a\u3055\u308c\u307e\u3057\u305f\" class=\"wp-image-1614\" width=\"376\" height=\"287\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u3057\u305f\u304c\u3063\u3066\u30012 \u3064\u306e\u5909\u6570\u306e\u5171\u5206\u6563\u3092\u6c42\u3081\u308b\u306b\u306f\u3001\u6700\u5f8c\u306e\u5217\u306e\u5408\u8a08\u3092\u30c7\u30fc\u30bf \u30da\u30a2\u306e\u6570\u3067\u5272\u308b\u5fc5\u8981\u304c\u3042\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-49b4992f8443e4d94e38dfa56da38a9a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}Cov(X,Y)&amp;=\\cfrac{\\displaystyle \\sum_{i=1}^n (x_i-\\overline{x})(y_i-\\overline{y})}{n}\\\\[2ex] Cov(X,Y)&amp;= \\cfrac{41,2}{10} \\\\[2ex]Cov(X,Y)&amp;= 4,12\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"175\" width=\"257\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u3053\u306e\u5834\u5408\u3001\u5171\u5206\u6563\u5024\u306f\u6b63\u3067\u3042\u308a\u3001\u8abf\u67fb\u3055\u308c\u305f 2 \u3064\u306e\u78ba\u7387\u5909\u6570\u9593\u306b\u76f4\u63a5\u7684\u306a\u4f9d\u5b58\u95a2\u4fc2\u304c\u3042\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002\u305f\u3060\u3057\u3001\u5171\u5206\u6563\u5024\u304c\u8ca0\u3067\u3042\u3063\u305f\u5834\u5408\u3001\u3053\u308c\u306f 2 \u3064\u306e\u5909\u6570\u9593\u306e\u4f9d\u5b58\u95a2\u4fc2\u304c\u9006\u3067\u3042\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002\u6700\u5f8c\u306b\u3001\u5171\u5206\u6563\u5024\u304c\u30bc\u30ed\u307e\u305f\u306f\u30bc\u30ed\u306b\u975e\u5e38\u306b\u8fd1\u3044\u5834\u5408\u306f\u30012 \u3064\u306e\u5909\u6570\u9593\u306b\u7dda\u5f62\u95a2\u4fc2\u304c\u306a\u3044\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002<\/p>\n<p>\u3053\u306e\u4f8b\u3092\u89e3\u304f\u3068\u308f\u304b\u308b\u3088\u3046\u306b\u3001Excel \u306a\u3069\u306e\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u30fc \u30d7\u30ed\u30b0\u30e9\u30e0\u3092\u4f7f\u7528\u3057\u3066\u30c6\u30fc\u30d6\u30eb\u306b\u5217\u3092\u8ffd\u52a0\u3057\u3001\u8a08\u7b97\u3092\u3059\u3070\u3084\u304f\u5b9f\u884c\u3059\u308b\u3068\u975e\u5e38\u306b\u4fbf\u5229\u3067\u3059\u3002\u305d\u308c\u4ee5\u5916\u306e\u5834\u5408\u3001\u64cd\u4f5c\u3092\u624b\u52d5\u3067\u8a08\u7b97\u3059\u308b\u3068\u3001\u5171\u5206\u6563\u3092\u898b\u3064\u3051\u308b\u306e\u306b\u975e\u5e38\u306b\u9577\u3044\u6642\u9593\u304c\u304b\u304b\u308a\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"calculadora-de-la-covarianza\"><\/span>\u5171\u5206\u6563\u8a08\u7b97\u6a5f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4e00\u9023\u306e\u7d71\u8a08\u30c7\u30fc\u30bf\u3092\u6b21\u306e\u8a08\u7b97\u6a5f\u306b\u5165\u529b\u3057\u3066\u30012 \u3064\u306e\u5909\u6570\u9593\u306e\u5171\u5206\u6563\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002\u6700\u521d\u306e\u30dc\u30c3\u30af\u30b9\u306b\u306f 1 \u3064\u306e\u5909\u6570\u306e\u5024\u306e\u307f\u304c\u542b\u307e\u308c\u30012 \u756a\u76ee\u306e\u30dc\u30c3\u30af\u30b9\u306b\u306f 2 \u756a\u76ee\u306e\u5909\u6570\u306e\u5024\u306e\u307f\u304c\u542b\u307e\u308c\u308b\u3088\u3046\u306b\u3001\u30c7\u30fc\u30bf\u306e\u30da\u30a2\u3092\u5206\u96e2\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<p>\u30c7\u30fc\u30bf\u306f\u30b9\u30da\u30fc\u30b9\u3067\u533a\u5207\u3089\u308c\u3001\u5c0f\u6570\u70b9\u3068\u3057\u3066\u30d4\u30ea\u30aa\u30c9\u3092\u4f7f\u7528\u3057\u3066\u5165\u529b\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<form action=\"\" method=\"post\">\n<ul>\n<li>\u78ba\u7387\u5909\u6570<\/li>\n<\/ul>\n<p><textarea name=\"datosX\" style=\"border:1.5px solid #4FC3F7; border-radius:15px;\" placeholder=\"1 4 8 5 7.2 9 ...\" required=\"\" oninvalid=\"this.setCustomValidity('Introduce los datos de la primera variable aqu\u00ed')\" oninput=\"this.setCustomValidity('')\"><\/textarea><\/p>\n<ul style=\"margin-top:25px\">\n<li>\u78ba\u7387\u5909\u6570 Y: <\/li>\n<\/ul>\n<p><textarea name=\"datosY\" style=\"border:1.5px solid #4FC3F7; border-radius:15px;\" placeholder=\"2 5 7 3 2 1 ...\" required=\"\" oninvalid=\"this.setCustomValidity('Introduce los datos de la segunda variable aqu\u00ed')\" oninput=\"this.setCustomValidity('')\"><\/textarea><\/p>\n<div style=\"text-align:center\"><input align=\"center\" style=\"border-radius:30px; margin: 20px\" type=\"submit\" name=\"submit\" value=\"\u5171\u5206\u6563\u3092\u8a08\u7b97\u3059\u308b\"><\/div>\n<\/form>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"propiedades-de-la-covarianza\"><\/span>\u5171\u5206\u6563\u7279\u6027<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5171\u5206\u6563\u306b\u306f\u6b21\u306e\u7279\u6027\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\u78ba\u7387\u5909\u6570\u3068\u5b9a\u6570\u306e\u9593\u306e\u5171\u5206\u6563\u306f\u30bc\u30ed\u3067\u3059\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-3521edd5d0781593491d07e147d9274e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Cov(X,a)=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"111\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li>\u5909\u6570\u3068\u305d\u308c\u81ea\u4f53\u306e\u5171\u5206\u6563\u306f\u3001\u305d\u306e\u5909\u6570\u306e\u5206\u6563\u3068\u7b49\u4fa1\u3067\u3059\u3002 <\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-b96c9e198a0904a56206dedad0e7608c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Cov(X,X)=Var(X)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"169\" style=\"vertical-align: -5px;\"><\/p>\n<\/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\/\u5206\u6563\/\">\u5206\u6563\u3068\u306f\u4f55\u3067\u3059\u304b?<\/a><\/div>\n<ul>\n<li>\u5171\u5206\u6563\u306f\u5bfe\u79f0\u6027\u3092\u6e80\u305f\u3057\u3066\u3044\u308b\u305f\u3081\u3001\u5909\u6570 X \u3068 Y \u306e\u5171\u5206\u6563\u306f\u5909\u6570 Y \u3068 X \u306e\u5171\u5206\u6563\u3068\u7b49\u3057\u304f\u306a\u308a\u307e\u3059\u3002\u5909\u6570\u306e\u9806\u5e8f\u306f\u5171\u5206\u6563\u306e\u7d50\u679c\u306b\u5f71\u97ff\u3057\u307e\u305b\u3093\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-0d384166725954287d0065f3a145c61a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Cov(X,Y)=Cov(Y,X)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"186\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li>\u5909\u6570\u306b\u5b9a\u6570\u3092\u4e57\u7b97\u3059\u308b\u5834\u5408\u306f\u3001\u6700\u521d\u306b\u5171\u5206\u6563\u3092\u8a08\u7b97\u3057\u3066\u304b\u3089\u3001\u305d\u306e\u7d50\u679c\u306b\u5b9a\u6570\u3092\u4e57\u7b97\u3057\u307e\u3059\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-2ea811783444fab37858b563c94c0ce7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Cov(a\\cdot X,b\\cdot Y)=a\\cdot b\\cdot Cov(X,Y)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"273\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li>\u5909\u6570\u306b\u9805\u3092\u8ffd\u52a0\u3057\u3066\u3082\u3001\u5171\u5206\u6563\u306e\u7d50\u679c\u306b\u306f\u5f71\u97ff\u3057\u307e\u305b\u3093\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-2fa1b5d5152dd55933384887aea08396_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Cov(a+X,b+Y)=Cov(X+Y)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"263\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> 2 \u3064\u306e\u78ba\u7387\u5909\u6570\u9593\u306e\u5171\u5206\u6563\u306f\u3001\u305d\u308c\u3089\u306e\u6570\u5b66\u7684\u671f\u5f85\u5024\u306b\u95a2\u9023\u3057\u3066\u3044\u307e\u3059\u3002\u5909\u6570 X \u3068 Y \u306e\u9593\u306e\u5171\u5206\u6563\u306f\u3001X \u3068 Y \u306e\u7a4d\u306e\u6570\u5b66\u7684\u671f\u5f85\u5024\u304b\u3089\u5404\u5909\u6570\u306e\u6570\u5b66\u7684\u671f\u5f85\u5024\u306e\u7a4d\u3092\u5f15\u3044\u305f\u3082\u306e\u306b\u7b49\u3057\u304f\u306a\u308a\u307e\u3059\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-5cdc964b9ce9f0c87cf3fd8fc5eb84fd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Cov(X,Y)=E[X\\cdot Y]-E[X]\\cdot E[Y]\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"284\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li>\u5909\u6570\u3092\u64cd\u4f5c\u3059\u308b\u5834\u5408\u3001\u5171\u5206\u6563\u306b\u95a2\u3057\u3066\u6b21\u306e\u4ee3\u6570\u5f0f\u304c\u6e80\u305f\u3055\u308c\u307e\u3059\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-5d429b5bb4e4796cc5b8c73ed0845fa2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}\\displaystyle Cov(aX+bY,cW+dV)= \\ &amp; \\displaystyle acCov(X,W)+adCov(X,V)+\\\\[2ex]&amp; +bcCov(Y,W)+bdCov(Y,V)\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"61\" width=\"457\" style=\"vertical-align: 0px;\"><\/p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001\u5171\u5206\u6563\u3068\u306f\u4f55\u304b\u3001\u307e\u305f\u305d\u306e\u8a08\u7b97\u65b9\u6cd5\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002\u5171\u5206\u6563\u306e\u5f0f\u3068\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306e\u5171\u5206\u6563\u306e\u8a08\u7b97\u4f8b\u304c\u898b\u3064\u304b\u308a\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u6700\u5f8c\u306b\u30aa\u30f3\u30e9\u30a4\u30f3\u8a08\u7b97\u6a5f\u3092\u4f7f\u7528\u3057\u3066\u3001\u4efb\u610f\u306e\u30c7\u30fc\u30bf\u7cfb\u5217\u306e\u5171\u5206\u6563\u3092\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002 \u5171\u5206\u6563\u3068\u306f\u4f55\u3067 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[19],"tags":[],"class_list":["post-75","post","type-post","status-publish","format-standard","hentry","category-19"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 \u5171\u5206\u6563: \u5f0f\u3001\u4f8b\u3001\u30d7\u30ed\u30d1\u30c6\u30a3\u3001\u8a08\u7b97\u6a5f\u306a\u3069<\/title>\n<meta name=\"description\" content=\"\u5171\u5206\u6563\u306e\u5b9a\u7fa9 - \u5171\u5206\u6563\u306e\u8a08\u7b97\u65b9\u6cd5\uff08\u5f0f\uff09 - \u5b9f\u8df5\u4f8b - \u5171\u5206\u6563\u8a08\u7b97\u30c4\u30fc\u30eb - \u5171\u5206\u6563\u306e\u6027\u8cea\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" 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