{"id":830,"date":"2023-07-28T15:02:39","date_gmt":"2023-07-28T15:02:39","guid":{"rendered":"https:\/\/statorials.org\/tr\/piton-kovaryans-matrisi\/"},"modified":"2023-07-28T15:02:39","modified_gmt":"2023-07-28T15:02:39","slug":"piton-kovaryans-matrisi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/piton-kovaryans-matrisi\/","title":{"rendered":"Python&#39;da kovaryans matrisi nas\u0131l olu\u015fturulur"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Kovaryans<\/strong> , 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\"> <span 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.<\/span><\/p>\n<p class=\"has-text-color\"> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnek Python&#8217;da bir kovaryans matrisinin nas\u0131l olu\u015fturulaca\u011f\u0131n\u0131 g\u00f6sterir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Python&#8217;da Kovaryans Matrisi Nas\u0131l Olu\u015fturulur<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Python&#8217;da bir kovaryans matrisi olu\u015fturmak i\u00e7in a\u015fa\u011f\u0131daki ad\u0131mlar\u0131 kullan\u0131n.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 1: Veri k\u00fcmesini olu\u015fturun.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0130lk olarak, 10 farkl\u0131 \u00f6\u011frencinin \u00fc\u00e7 dersteki (matematik, fen bilimleri ve tarih) test puanlar\u0131n\u0131 i\u00e7eren bir veri seti olu\u015fturaca\u011f\u0131z.<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #107d3f;\">import<\/span> numpy <span style=\"color: #107d3f;\">as<\/span> np\n\nmath = [84, 82, 81, 89, 73, 94, 92, 70, 88, 95]\nscience = [85, 82, 72, 77, 75, 89, 95, 84, 77, 94]\nhistory = [97, 94, 93, 95, 88, 82, 78, 84, 69, 78]\n\ndata = np.array([math, science, history])\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 2: Kovaryans matrisini olu\u015fturun.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Daha sonra, pop\u00fclasyon kovaryans matrisini hesaplayabilmemiz i\u00e7in <strong>\u00f6nyarg\u0131 = True<\/strong> de\u011ferini belirterek numpy <strong>cov()<\/strong> i\u015flevini kullanarak bu veri k\u00fcmesi i\u00e7in kovaryans matrisini olu\u015fturaca\u011f\u0131z.<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>np.cov(data, bias= <span style=\"color: #107d3f;\">True<\/span> )\n\narray([[ 64.96, 33.2, -24.44],\n       [33.2, 56.4, -24.1],\n       [-24.44, -24.1, 75.56]])\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 3: Kovaryans matrisini yorumlay\u0131n.<\/strong><\/span><\/p>\n<p class=\"has-text-color\"> <span style=\"color: #000000;\">Matrisin k\u00f6\u015fegenleri boyunca yer alan de\u011ferler, her bir konunun basit\u00e7e varyanslar\u0131d\u0131r. \u00d6rne\u011fin:<\/span><\/p>\n<ul class=\"has-text-color\">\n<li> <span style=\"color: #000000;\">Matematik puanlar\u0131n\u0131n varyans\u0131 64,96<\/span><\/li>\n<li> <span style=\"color: #000000;\">Fen puanlar\u0131n\u0131n varyans\u0131 56,4<\/span><\/li>\n<li> <span style=\"color: #000000;\">Ge\u00e7mi\u015f puan fark\u0131 75,56<\/span><\/li>\n<\/ul>\n<p class=\"has-text-color\"> <span style=\"color: #000000;\">Matrisin di\u011fer de\u011ferleri farkl\u0131 konular aras\u0131ndaki kovaryanslar\u0131 temsil eder. \u00d6rne\u011fin:<\/span><\/p>\n<ul class=\"has-text-color\">\n<li> <span style=\"color: #000000;\">Matematik ve fen bilimleri puanlar\u0131 aras\u0131ndaki kovaryans 33,2&#8217;dir.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Matematik ve tarih puanlar\u0131 aras\u0131ndaki kovaryans -24,44&#8217;t\u00fcr.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Fen ve tarih puanlar\u0131 aras\u0131ndaki kovaryans -24,1&#8217;dir.<\/span><\/li>\n<\/ul>\n<p class=\"has-text-color\"> <span 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. Tersine, matematikte zay\u0131f performans g\u00f6steren \u00f6\u011frenciler fen alan\u0131nda da d\u00fc\u015f\u00fck performans g\u00f6sterme e\u011filimindedir.<\/span><\/p>\n<p class=\"has-text-color\"> <span 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. Tersine, matematikte d\u00fc\u015f\u00fck puan alan \u00f6\u011frenciler tarihte y\u00fcksek puan alma e\u011filimindedir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 4: Kovaryans matrisini g\u00f6rselle\u015ftirin (iste\u011fe ba\u011fl\u0131).<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Seaborn paketinin <strong>heatmap()<\/strong> fonksiyonunu kullanarak kovaryans matrisini g\u00f6rselle\u015ftirebilirsiniz:<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #107d3f;\">import<\/span> seaborn <span style=\"color: #107d3f;\">as<\/span> sns\n<span style=\"color: #107d3f;\">import<\/span> matplotlib.pyplot <span style=\"color: #107d3f;\">as<\/span> plt\n\ncov = np.cov(data, bias=True)\nlabs = ['math', 'science', 'history']\n\nsns.heatmap(cov, annot=True, fmt='g', xticklabels=labs, yticklabels=labs)\nplt.show()\n<\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-9191 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/covariancematrixpython2.png\" alt=\"Python'da Kovaryans Matrisi\" width=\"384\" height=\"274\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Cmap<\/strong> ba\u011f\u0131ms\u0131z de\u011fi\u015fkenini belirterek renk paletini de de\u011fi\u015ftirebilirsiniz:<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>sns.heatmap(cov, annot=True, fmt='g', xticklabels=labs, yticklabels=labs, cmap=' <span style=\"color: #800080;\">YlGnBu<\/span> ')\nplt.show()<\/strong> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-9192 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/covariancematrixpython3.png\" alt=\"Python'da Kovaryans Matrisi\" width=\"398\" height=\"274\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><em>Bu \u0131s\u0131 haritas\u0131n\u0131n nas\u0131l \u015fekillendirilece\u011fine ili\u015fkin daha fazla ayr\u0131nt\u0131 i\u00e7in <a href=\"https:\/\/seaborn.pydata.org\/generated\/seaborn.heatmap.html\" target=\"_blank\" rel=\"noopener\">deniz do\u011fu\u015fu belgelerine<\/a> bak\u0131n.<\/em><\/span><\/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. Kovaryans matrisi, 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. A\u015fa\u011f\u0131daki \u00f6rnek Python&#8217;da bir kovaryans [&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-830","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>Python&#039;da Kovaryans Matrisi Nas\u0131l Olu\u015fturulur - Statorials<\/title>\n<meta name=\"description\" content=\"Python&#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\/piton-kovaryans-matrisi\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Python&#039;da Kovaryans Matrisi Nas\u0131l Olu\u015fturulur - Statorials\" \/>\n<meta property=\"og:description\" content=\"Python&#039;da kovaryans matrisinin nas\u0131l olu\u015fturulaca\u011f\u0131na dair basit bir a\u00e7\u0131klama.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/piton-kovaryans-matrisi\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-28T15:02:39+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/covariancematrixpython2.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=\"3 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/tr\/piton-kovaryans-matrisi\/\",\"url\":\"https:\/\/statorials.org\/tr\/piton-kovaryans-matrisi\/\",\"name\":\"Python&#39;da Kovaryans Matrisi Nas\u0131l Olu\u015fturulur - Statorials\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-07-28T15:02:39+00:00\",\"dateModified\":\"2023-07-28T15:02:39+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Python&#39;da kovaryans matrisinin nas\u0131l olu\u015fturulaca\u011f\u0131na dair basit bir a\u00e7\u0131klama.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/piton-kovaryans-matrisi\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/piton-kovaryans-matrisi\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/piton-kovaryans-matrisi\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Python&#39;da kovaryans matrisi nas\u0131l olu\u015fturulur\"}]},{\"@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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