{"id":1066,"date":"2023-07-27T19:15:54","date_gmt":"2023-07-27T19:15:54","guid":{"rendered":"https:\/\/statorials.org\/tr\/kovaryans-matrisi-google-sayfalari\/"},"modified":"2023-07-27T19:15:54","modified_gmt":"2023-07-27T19:15:54","slug":"kovaryans-matrisi-google-sayfalari","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/kovaryans-matrisi-google-sayfalari\/","title":{"rendered":"Google e-tablolarda kovaryans matrisi nas\u0131l olu\u015fturulur"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><strong style=\"color: #000000;\">Kovaryans<\/strong> <span style=\"color: #000000;\">, bir de\u011fi\u015fkendeki de\u011fi\u015fikliklerin ikinci bir de\u011fi\u015fkendeki de\u011fi\u015fikliklerle nas\u0131l ili\u015fkilendirildi\u011finin bir \u00f6l\u00e7\u00fcs\u00fcd\u00fcr. Daha spesifik olarak, iki de\u011fi\u015fkenin do\u011frusal olarak ili\u015fkili olma derecesinin bir \u00f6l\u00e7\u00fcs\u00fcd\u00fcr.<\/span><\/p>\n<p class=\"has-text-color\" style=\"color: #000000;\"> \u0130ki de\u011fi\u015fken ( <em>X<\/em> ve <em>Y)<\/em> aras\u0131ndaki kovaryans\u0131 hesaplamak i\u00e7in kullan\u0131lan form\u00fcl:<\/p>\n<p class=\"has-text-color\" style=\"color: #000000; text-align: center;\"> <strong>COV(<\/strong> <em><strong>X<\/strong><\/em> <strong>,<\/strong> <em><strong>Y<\/strong><\/em> <strong>)<\/strong> = \u03a3(x- <span style=\"text-decoration: overline;\">x<\/span> )(y- <span style=\"text-decoration: overline;\">y<\/span> ) \/ n<\/p>\n<p class=\"has-text-color\" style=\"color: #000000;\"> <strong>Kovaryans matrisi,<\/strong> bir\u00e7ok farkl\u0131 de\u011fi\u015fken aras\u0131ndaki kovaryans\u0131 g\u00f6steren bir kare matristir. Bu, bir veri k\u00fcmesinde farkl\u0131 de\u011fi\u015fkenlerin nas\u0131l ili\u015fkili oldu\u011funu anlaman\u0131n yararl\u0131 bir yolu olabilir.<\/p>\n<p class=\"has-text-color\" style=\"color: #000000;\"> A\u015fa\u011f\u0131daki \u00f6rnek, belirli bir veri k\u00fcmesi i\u00e7in Google E-Tablolar&#8217;da kovaryans matrisinin nas\u0131l olu\u015fturulaca\u011f\u0131n\u0131 g\u00f6sterir.<\/p>\n<h3> <strong>Google E-Tablolarda Kovaryans Matrisi Nas\u0131l Olu\u015fturulur<\/strong><\/h3>\n<p class=\"has-text-color\" style=\"color: #000000;\"> <span style=\"color: #000000;\">Diyelim ki 10 farkl\u0131 \u00f6\u011frencinin \u00fc\u00e7 dersteki (matematik, fen bilimleri ve tarih) test puanlar\u0131n\u0131 g\u00f6steren a\u015fa\u011f\u0131daki veri setine sahibiz.<\/span> <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-10975 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/covmatrixfeuilles1.png\" alt=\"\" width=\"425\" height=\"389\" srcset=\"\" sizes=\"auto, \"><figcaption><\/figcaption><\/figure>\n<\/div>\n<p class=\"has-text-color\" style=\"color: #000000;\"> <span style=\"color: #000000;\">Bu veri k\u00fcmesi i\u00e7in bir kovaryans matrisi olu\u015fturmak amac\u0131yla <strong>COVAR()<\/strong> i\u015flevini a\u015fa\u011f\u0131daki s\u00f6zdizimiyle kullanabiliriz:<\/span><\/p>\n<blockquote>\n<p class=\"has-text-color\" style=\"color: #000000;\"> <span style=\"color: #000000;\"><strong>COVAR(veri_y; veri_x)<\/strong><\/span><\/p>\n<\/blockquote>\n<p> <span style=\"color: #000000;\">Bu veri k\u00fcmesinin kovaryans matrisi <strong>B15:D17<\/strong> h\u00fccrelerinde g\u00f6sterilirken, kovaryans matrisini olu\u015fturmak i\u00e7in kullan\u0131lan form\u00fcller a\u015fa\u011f\u0131daki <strong>B21:D23<\/strong> h\u00fccrelerinde g\u00f6sterilmektedir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-10976 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/covmatrixfeuilles2.png\" alt=\"Google E-Tablolar'daki kovaryans matrisi\" width=\"628\" height=\"504\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h3> <strong>Kovaryans matrisi nas\u0131l yorumlan\u0131r?<\/strong><\/h3>\n<p class=\"has-text-color\" style=\"color: #000000;\"> Bir kovaryans matrisimiz oldu\u011funda matris de\u011ferlerini yorumlamak kolayd\u0131r.<\/p>\n<p class=\"has-text-color\" style=\"color: #000000;\"> Matrisin k\u00f6\u015fegenleri boyunca yer alan de\u011ferler, her bir konunun basit\u00e7e varyanslar\u0131d\u0131r. \u00d6rne\u011fin:<\/p>\n<ul class=\"has-text-color\" style=\"color: #000000;\">\n<li> Matematik puanlar\u0131n\u0131n varyans\u0131 64,96<\/li>\n<li> Fen puanlar\u0131n\u0131n varyans\u0131 56,4<\/li>\n<li> Ge\u00e7mi\u015f puan fark\u0131 75,56 <\/li>\n<\/ul>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-10977 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/covmatrixfeuilles3.png\" alt=\"\" width=\"602\" height=\"116\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p class=\"has-text-color\" style=\"color: #000000;\"> Matrisin di\u011fer de\u011ferleri farkl\u0131 konular aras\u0131ndaki kovaryanslar\u0131 temsil eder. \u00d6rne\u011fin:<\/p>\n<ul class=\"has-text-color\" style=\"color: #000000;\">\n<li> Matematik ve fen bilimleri puanlar\u0131 aras\u0131ndaki kovaryans 33,2&#8217;dir.<\/li>\n<li> Matematik ve tarih puanlar\u0131 aras\u0131ndaki kovaryans -24,44&#8217;t\u00fcr.<\/li>\n<li> Fen ve tarih puanlar\u0131 aras\u0131ndaki kovaryans -24,1&#8217;dir. <\/li>\n<\/ul>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-10978 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/covmatrixfeuilles4.png\" alt=\"\" width=\"622\" height=\"118\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p class=\"has-text-color\" style=\"color: #000000;\"> Kovaryans i\u00e7in <strong>pozitif bir say\u0131,<\/strong> iki de\u011fi\u015fkenin art arda artma veya azalma e\u011filiminde oldu\u011funu g\u00f6sterir. \u00d6rne\u011fin matematik ve fen bilimleri aras\u0131nda pozitif bir kovaryans (33.2) vard\u0131r; bu da matematikte y\u00fcksek puan alan \u00f6\u011frencilerin fen bilimlerinde de y\u00fcksek puan alma e\u011filiminde oldu\u011funu g\u00f6sterir. Benzer \u015fekilde matematikte zay\u0131f performans g\u00f6steren \u00f6\u011frenciler fen alan\u0131nda da d\u00fc\u015f\u00fck performans g\u00f6sterme e\u011filimindedir.<\/p>\n<p class=\"has-text-color\" style=\"color: #000000;\"> Kovaryans i\u00e7in <strong>negatif bir say\u0131,<\/strong> bir de\u011fi\u015fken artarken ikinci bir de\u011fi\u015fkenin azalma e\u011filiminde oldu\u011funu g\u00f6sterir. \u00d6rne\u011fin, matematik ve tarihin negatif bir kovaryans\u0131 (-24,44) vard\u0131r, bu da matematikte y\u00fcksek puan alan \u00f6\u011frencilerin tarihte d\u00fc\u015f\u00fck puan alma e\u011filiminde oldu\u011funu g\u00f6sterir. Benzer \u015fekilde, matematikte d\u00fc\u015f\u00fck puan alan \u00f6\u011frenciler tarihte de y\u00fcksek puan alma e\u011filimindedir.<\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/tr\/kovaryans-matrisi-excel\/\" target=\"_blank\" rel=\"noopener noreferrer\">Excel&#8217;de Kovaryans Matrisi Nas\u0131l Olu\u015fturulur<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/kovaryans-matrisi-r\/\" target=\"_blank\" rel=\"noopener noreferrer\">R&#8217;de kovaryans matrisi nas\u0131l olu\u015fturulur<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/piton-kovaryans-matrisi\/\" target=\"_blank\" rel=\"noopener noreferrer\">Python&#8217;da Kovaryans Matrisi Nas\u0131l Olu\u015fturulur<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/spss-kovaryans-matrisi\/\" target=\"_blank\" rel=\"noopener noreferrer\">SPSS&#8217;de Kovaryans Matrisi Nas\u0131l Olu\u015fturulur<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Kovaryans , bir de\u011fi\u015fkendeki de\u011fi\u015fikliklerin ikinci bir de\u011fi\u015fkendeki de\u011fi\u015fikliklerle nas\u0131l ili\u015fkilendirildi\u011finin bir \u00f6l\u00e7\u00fcs\u00fcd\u00fcr. Daha spesifik olarak, iki de\u011fi\u015fkenin do\u011frusal olarak ili\u015fkili olma derecesinin bir \u00f6l\u00e7\u00fcs\u00fcd\u00fcr. \u0130ki de\u011fi\u015fken ( X ve Y) aras\u0131ndaki kovaryans\u0131 hesaplamak i\u00e7in kullan\u0131lan form\u00fcl: COV( X , Y ) = \u03a3(x- x )(y- y ) \/ n Kovaryans matrisi, bir\u00e7ok farkl\u0131 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":[11],"tags":[],"class_list":["post-1066","post","type-post","status-publish","format-standard","hentry","category-rehber"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Google E-Tablolarda Kovaryans Matrisi Nas\u0131l Olu\u015fturulur - Statorials<\/title>\n<meta name=\"description\" content=\"Google E-Tablolar&#039;da kovaryans matrisinin nas\u0131l olu\u015fturulaca\u011f\u0131na dair basit bir a\u00e7\u0131klama.\" \/>\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-matrisi-google-sayfalari\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Google E-Tablolarda Kovaryans Matrisi Nas\u0131l Olu\u015fturulur - 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