{"id":78,"date":"2023-08-05T17:37:55","date_gmt":"2023-08-05T17:37:55","guid":{"rendered":"https:\/\/statorials.org\/tr\/kovaryans\/"},"modified":"2023-08-05T17:37:55","modified_gmt":"2023-08-05T17:37:55","slug":"kovaryans","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/kovaryans\/","title":{"rendered":"Kovaryans"},"content":{"rendered":"<p>Bu makalede kovaryans\u0131n ne oldu\u011fu ve nas\u0131l hesapland\u0131\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r. Kovaryans form\u00fcl\u00fcn\u00fcn yan\u0131 s\u0131ra bir veri k\u00fcmesinin kovaryans\u0131n\u0131n hesaplanmas\u0131na ili\u015fkin bir \u00f6rnek bulacaks\u0131n\u0131z. Ek olarak, sondaki \u00e7evrimi\u00e7i hesap makinesini kullanarak herhangi bir veri serisinin kovaryans\u0131n\u0131 hesaplayabilirsiniz. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-covarianza\"><\/span> Kovaryans nedir?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0130statistikte <strong>kovaryans<\/strong> , iki rastgele de\u011fi\u015fkenin ortak varyasyonunun derecesini g\u00f6steren bir de\u011ferdir. Ba\u015fka bir deyi\u015fle kovaryans, iki de\u011fi\u015fken aras\u0131ndaki ba\u011f\u0131ml\u0131l\u0131\u011f\u0131 analiz etmek i\u00e7in kullan\u0131l\u0131r.<\/p>\n<p> Kovaryans, iki de\u011fi\u015fkenin verileri ile bunlar\u0131n ortalamalar\u0131 aras\u0131ndaki farklar\u0131n \u00e7arp\u0131mlar\u0131n\u0131n toplam\u0131n\u0131n toplam veri say\u0131s\u0131na b\u00f6l\u00fcnmesine e\u015fittir. <\/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=\"kovaryans\" class=\"wp-image-1610\" width=\"301\" height=\"191\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> \ud83d\udc49Herhangi <u style=\"text-decoration-color:#FF8A05;\">bir veri setinin kovaryans\u0131n\u0131 hesaplamak i\u00e7in a\u015fa\u011f\u0131daki hesaplay\u0131c\u0131y\u0131 kullanabilirsiniz.<\/u><\/p>\n<p> Kovaryans de\u011ferinin yorumlanmas\u0131 \u00e7ok basittir:<\/p>\n<ul>\n<li> <strong>Kovaryans\u0131n pozitif olmas\u0131<\/strong> iki de\u011fi\u015fken aras\u0131nda ba\u011f\u0131ml\u0131l\u0131k oldu\u011fu anlam\u0131na gelir. Bu nedenle, bir de\u011fi\u015fkenin de\u011feri artt\u0131\u011f\u0131nda di\u011fer de\u011fi\u015fken de artar veya bunun tersi de ge\u00e7erlidir.<\/li>\n<li> <strong>Kovaryans\u0131n negatif olmas\u0131<\/strong> iki de\u011fi\u015fken aras\u0131ndaki ili\u015fkinin negatif oldu\u011fu anlam\u0131na gelir. Yani bir de\u011fi\u015fkenin de\u011feri artt\u0131\u011f\u0131nda di\u011fer de\u011fi\u015fken azal\u0131r ve bunun tersi de ge\u00e7erlidir.<\/li>\n<li> <strong>Kovaryans\u0131n s\u0131f\u0131r olmas\u0131<\/strong> (veya de\u011ferinin s\u0131f\u0131ra yak\u0131n olmas\u0131) iki de\u011fi\u015fken aras\u0131nda herhangi bir ili\u015fkinin olmad\u0131\u011f\u0131 anlam\u0131na gelir. Ba\u015fka bir deyi\u015fle, iki rastgele de\u011fi\u015fken ba\u011f\u0131ms\u0131zd\u0131r. <\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"como-calcular-la-covarianza\"><\/span> Kovaryans nas\u0131l hesaplan\u0131r<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Bir veri serisinin kovaryans\u0131n\u0131 hesaplamak i\u00e7in a\u015fa\u011f\u0131daki ad\u0131mlar ger\u00e7ekle\u015ftirilmelidir:<\/p>\n<ol style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">Her de\u011fi\u015fkenin ortalamas\u0131n\u0131 ayr\u0131 ayr\u0131 hesaplay\u0131n.<\/span><\/li>\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">Her de\u011fi\u015fken i\u00e7in, de\u011ferlerinin her biri ile de\u011fi\u015fkenin ortalamas\u0131 aras\u0131ndaki fark\u0131 bulun.<\/span><\/li>\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">Her veri noktas\u0131 i\u00e7in \u00f6nceki ad\u0131mda hesaplanan farklar\u0131 \u00e7arp\u0131n.<\/span><\/li>\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">\u00d6nceki ad\u0131mda elde edilen t\u00fcm sonu\u00e7lar\u0131 toplay\u0131n.<\/span><\/li>\n<li> <span style=\"color:#101010;font-weight: normal;\">Toplam veri say\u0131s\u0131na b\u00f6l\u00fcn. Elde edilen de\u011fer veri serisinin kovaryans\u0131d\u0131r.<\/span><\/li>\n<\/ol>\n<p> \u00d6zetle, iki de\u011fi\u015fken aras\u0131ndaki kovaryans\u0131n hesaplanmas\u0131na ili\u015fkin form\u00fcl a\u015fa\u011f\u0131daki gibidir:<\/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> \u0130ki de\u011fi\u015fken aras\u0131ndaki kovaryans\u0131 \u00e7\u0131karmak i\u00e7in \u015fiddetle tavsiye edilen bir y\u00f6ntem, t\u00fcm veri \u00e7iftlerini i\u00e7eren bir tablo olu\u015fturmak ve yukar\u0131da a\u00e7\u0131klanan ad\u0131mlar\u0131n her biri i\u00e7in bir s\u00fctun eklemektir. Bu \u015fekilde hesaplamalar\u0131n\u0131z \u00e7ok daha iyi organize edilecek ve ne yapt\u0131\u011f\u0131n\u0131z\u0131 daha iyi anlayacaks\u0131n\u0131z. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-del-calculo-de-la-covarianza\"><\/span> Kovaryans hesaplama \u00f6rne\u011fi<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Kovaryans\u0131n tan\u0131m\u0131 g\u00f6z \u00f6n\u00fcne al\u0131nd\u0131\u011f\u0131nda, a\u015fa\u011f\u0131da bu t\u00fcr istatistiksel \u00f6l\u00e7\u00fcmlerin ad\u0131m ad\u0131m hesaplanmas\u0131na ili\u015fkin bir \u00f6rnek verilmi\u015ftir. Ama\u00e7, kovaryans kavram\u0131n\u0131 ve iki de\u011fi\u015fken aras\u0131ndaki korelasyonun nas\u0131l analiz edilece\u011fini daha iyi anlaman\u0131zd\u0131r.<\/p>\n<ul>\n<li> A\u015fa\u011f\u0131daki istatistiksel veri setinin kovaryans\u0131n\u0131 hesaplay\u0131n: <\/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> \u00d6ncelikle her de\u011fi\u015fkenin aritmetik ortalamas\u0131n\u0131 hesaplamam\u0131z gerekir. Bunu yapmak i\u00e7in her de\u011fi\u015fkenin de\u011ferlerinin toplam\u0131n\u0131 toplam veri say\u0131s\u0131na b\u00f6l\u00fcyoruz. <\/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>Bak\u0131n\u0131z:<\/strong> <a href=\"https:\/\/statorials.org\/tr\/aritmetik-ortalama\/\">aritmetik form\u00fcl anlam\u0131<\/a><\/div>\n<p> Her rastgele de\u011fi\u015fkenin ortalamas\u0131n\u0131 belirledikten sonra kovaryans\u0131 elde etmek i\u00e7in veri tablosuna a\u015fa\u011f\u0131daki s\u00fctunlar\u0131 ekleyebiliriz: <\/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=\"kovaryans egzersizi \u00e7\u00f6z\u00fcld\u00fc\" class=\"wp-image-1614\" width=\"376\" height=\"287\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> Dolay\u0131s\u0131yla iki de\u011fi\u015fkenin kovaryans\u0131n\u0131 belirlemek i\u00e7in son s\u00fctunun toplam\u0131n\u0131 veri \u00e7ifti say\u0131s\u0131na b\u00f6lmeniz gerekir:<\/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> Bu durumda kovaryans de\u011feri pozitiftir; bu, incelenen iki rastgele de\u011fi\u015fken aras\u0131nda do\u011frudan bir ba\u011f\u0131ml\u0131l\u0131k oldu\u011fu anlam\u0131na gelir. Ancak kovaryans de\u011ferinin negatif olmas\u0131 iki de\u011fi\u015fken aras\u0131ndaki ba\u011f\u0131ml\u0131l\u0131\u011f\u0131n ters oldu\u011fu anlam\u0131na gelecektir. Son olarak kovaryans de\u011ferinin s\u0131f\u0131r olmas\u0131 veya s\u0131f\u0131ra \u00e7ok yak\u0131n olmas\u0131 iki de\u011fi\u015fken aras\u0131nda do\u011frusal bir ili\u015fkinin olmad\u0131\u011f\u0131 anlam\u0131na gelir.<\/p>\n<p> Bu \u00f6rne\u011fin \u00e7\u00f6z\u00fcm\u00fcnden de g\u00f6rebilece\u011finiz gibi s\u00fctunlar\u0131 tabloya eklemek ve hesaplamalar\u0131 h\u0131zl\u0131 bir \u015fekilde ger\u00e7ekle\u015ftirmek i\u00e7in Excel gibi bir bilgisayar program\u0131 kullanmak olduk\u00e7a faydal\u0131d\u0131r. Aksi takdirde i\u015flemleri manuel olarak hesaplayarak kovaryans\u0131n bulunmas\u0131 \u00e7ok daha uzun s\u00fcrer. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"calculadora-de-la-covarianza\"><\/span> Kovaryans Hesaplay\u0131c\u0131<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0130ki de\u011fi\u015fken aras\u0131ndaki kovaryans\u0131 hesaplamak i\u00e7in a\u015fa\u011f\u0131daki hesap makinesine bir dizi istatistiksel veri girin. Veri \u00e7iftlerini, ilk kutuda yaln\u0131zca bir de\u011fi\u015fkenin de\u011ferleri olacak ve ikinci kutuda yaln\u0131zca ikinci de\u011fi\u015fkenin de\u011ferleri olacak \u015fekilde ay\u0131rman\u0131z gerekir.<\/p>\n<p> Veriler bir bo\u015flukla ayr\u0131lmal\u0131 ve ondal\u0131k ay\u0131r\u0131c\u0131 olarak nokta kullan\u0131larak girilmelidir.<\/p>\n<form action=\"\" method=\"post\">\n<ul>\n<li> Rastgele de\u011fi\u015fken <\/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> Rastgele de\u011fi\u015fken 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=\"Kovaryans\u0131 hesaplay\u0131n\"><\/div>\n<\/form>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"propiedades-de-la-covarianza\"><\/span> Kovaryans \u00d6zellikleri<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Kovaryans a\u015fa\u011f\u0131daki \u00f6zelliklere sahiptir:<\/p>\n<ul>\n<li> Bir rastgele de\u011fi\u015fken ile bir sabit aras\u0131ndaki kovaryans s\u0131f\u0131rd\u0131r.<\/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> Bir de\u011fi\u015fkenin kendisinin kovaryans\u0131, o de\u011fi\u015fkenin varyans\u0131na e\u015fittir. <\/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>Bak\u0131n\u0131z:<\/strong> <a href=\"https:\/\/statorials.org\/tr\/varyans\/\">varyans nedir?<\/a><\/div>\n<ul>\n<li> Kovaryans simetri \u00f6zelli\u011fini kar\u015f\u0131lar, dolay\u0131s\u0131yla X ve Y de\u011fi\u015fkenlerinin kovaryans\u0131 Y ve X de\u011fi\u015fkenlerinin kovaryans\u0131na e\u015fittir. De\u011fi\u015fkenlerin s\u0131ras\u0131 kovaryans\u0131n sonucunu etkilemez.<\/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> De\u011fi\u015fkenler sabitlerle \u00e7arp\u0131l\u0131rsa \u00f6nce kovaryans\u0131 hesaplayabilir, ard\u0131ndan sonucu sabitlerle \u00e7arpabilirsiniz.<\/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> De\u011fi\u015fkenlere terim eklemek kovaryans sonucunu etkilemez.<\/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> \u0130ki rastgele de\u011fi\u015fken aras\u0131ndaki kovaryans onlar\u0131n matematiksel beklentileriyle ilgilidir. X ve Y de\u011fi\u015fkenleri aras\u0131ndaki kovaryans, X ve Y \u00e7arp\u0131m\u0131n\u0131n matematiksel beklentisi eksi her de\u011fi\u015fkenin matematiksel beklentisinin \u00e7arp\u0131m\u0131na e\u015fittir.<\/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> De\u011fi\u015fkenlerle \u00e7al\u0131\u015f\u0131rken a\u015fa\u011f\u0131daki cebirsel ifade kovaryansa g\u00f6re doldurulur:<\/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>Bu makalede kovaryans\u0131n ne oldu\u011fu ve nas\u0131l hesapland\u0131\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r. Kovaryans form\u00fcl\u00fcn\u00fcn yan\u0131 s\u0131ra bir veri k\u00fcmesinin kovaryans\u0131n\u0131n hesaplanmas\u0131na ili\u015fkin bir \u00f6rnek bulacaks\u0131n\u0131z. Ek olarak, sondaki \u00e7evrimi\u00e7i hesap makinesini kullanarak herhangi bir veri serisinin kovaryans\u0131n\u0131 hesaplayabilirsiniz. Kovaryans nedir? \u0130statistikte kovaryans , iki rastgele de\u011fi\u015fkenin ortak varyasyonunun derecesini g\u00f6steren bir de\u011ferdir. Ba\u015fka bir deyi\u015fle kovaryans, iki de\u011fi\u015fken [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[14],"tags":[],"class_list":["post-78","post","type-post","status-publish","format-standard","hentry","category-istatistik"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 Kovaryans: form\u00fcl, \u00f6rnek, \u00f6zellikler, hesap makinesi,...<\/title>\n<meta name=\"description\" content=\"Kovaryans\u0131n Tan\u0131m\u0131 - Kovaryans Nas\u0131l Hesaplan\u0131r (Form\u00fcl) - Pratik \u00d6rnek - Kovaryans Hesaplay\u0131c\u0131 - Kovaryans\u0131n \u00d6zellikleri\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statorials.org\/tr\/kovaryans\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u25b7 Kovaryans: form\u00fcl, \u00f6rnek, \u00f6zellikler, hesap makinesi,...\" \/>\n<meta property=\"og:description\" content=\"Kovaryans\u0131n Tan\u0131m\u0131 - Kovaryans Nas\u0131l Hesaplan\u0131r (Form\u00fcl) - Pratik \u00d6rnek - Kovaryans Hesaplay\u0131c\u0131 - Kovaryans\u0131n \u00d6zellikleri\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/kovaryans\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-08-05T17:37:55+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/covariance.png\" \/>\n<meta name=\"author\" content=\"Dr.benjamin anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Yazan:\" \/>\n\t<meta name=\"twitter:data1\" content=\"Dr.benjamin anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Tahmini okuma s\u00fcresi\" \/>\n\t<meta name=\"twitter:data2\" content=\"5 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/tr\/kovaryans\/\",\"url\":\"https:\/\/statorials.org\/tr\/kovaryans\/\",\"name\":\"\u25b7 Kovaryans: form\u00fcl, \u00f6rnek, \u00f6zellikler, hesap makinesi,...\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-08-05T17:37:55+00:00\",\"dateModified\":\"2023-08-05T17:37:55+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Kovaryans\u0131n Tan\u0131m\u0131 - Kovaryans Nas\u0131l Hesaplan\u0131r (Form\u00fcl) - Pratik \u00d6rnek - Kovaryans Hesaplay\u0131c\u0131 - Kovaryans\u0131n \u00d6zellikleri\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/kovaryans\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/kovaryans\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/kovaryans\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Kovaryans\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/tr\/#website\",\"url\":\"https:\/\/statorials.org\/tr\/\",\"name\":\"Statorials\",\"description\":\"\u0130statistik okuryazarl\u0131\u011f\u0131 rehberiniz!\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/tr\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"tr\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\",\"name\":\"Dr.benjamin anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"tr\",\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/statorials.org\/tr\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"https:\/\/statorials.org\/tr\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"caption\":\"Dr.benjamin anderson\"},\"description\":\"Merhaba, ben Benjamin, emekli bir istatistik profes\u00f6r\u00fc ve Statorials \u00f6\u011fretmenine d\u00f6n\u00fc\u015ft\u00fcm. \u0130statistik alan\u0131ndaki kapsaml\u0131 deneyimim ve uzmanl\u0131\u011f\u0131mla, \u00f6\u011frencilerimi Statorials arac\u0131l\u0131\u011f\u0131yla g\u00fc\u00e7lendirmek i\u00e7in bilgilerimi payla\u015fmaya can at\u0131yorum. 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