{"id":1006,"date":"2023-07-28T00:51:30","date_gmt":"2023-07-28T00:51:30","guid":{"rendered":"https:\/\/statorials.org\/tr\/iki-degiskenli-analiz\/"},"modified":"2023-07-28T00:51:30","modified_gmt":"2023-07-28T00:51:30","slug":"iki-degiskenli-analiz","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/iki-degiskenli-analiz\/","title":{"rendered":"I\u0307ki de\u011fi\u015fkenli analize h\u0131zl\u0131 bir giri\u015f"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u0130ki de\u011fi\u015fkenli <strong>analiz<\/strong> terimi, iki de\u011fi\u015fkenin analizini ifade eder. Bunu \u201cbi\u201d \u00f6n ekinin \u201ciki\u201d anlam\u0131na gelmesinden dolay\u0131 hat\u0131rlayabilirsiniz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0130ki de\u011fi\u015fkenli analizin amac\u0131 iki de\u011fi\u015fken aras\u0131ndaki ili\u015fkiyi anlamakt\u0131r. Bu analiz t\u00fcr\u00fcn\u00fc a\u015fa\u011f\u0131dakilerle kar\u015f\u0131la\u015ft\u0131rabilirsiniz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Tek <strong><a href=\"https:\/\/statorials.org\/tr\/tek-degiskenli-analiz\/\" target=\"_blank\" rel=\"noopener\">de\u011fi\u015fkenli analiz<\/a> :<\/strong> Tek de\u011fi\u015fkenin analizi.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u00c7ok de\u011fi\u015fkenli analiz:<\/strong> \u0130ki veya daha fazla de\u011fi\u015fkenin analizi.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u0130ki de\u011fi\u015fkenli analiz ger\u00e7ekle\u015ftirmenin \u00fc\u00e7 yayg\u0131n yolu vard\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1.<\/strong> Da\u011f\u0131l\u0131m grafikleri.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2.<\/strong> Korelasyon katsay\u0131lar\u0131.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>3.<\/strong> Basit do\u011frusal regresyon.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu e\u011fitimde, iki de\u011fi\u015fken hakk\u0131nda bilgi i\u00e7eren a\u015fa\u011f\u0131daki veri setini kullanarak bu iki de\u011fi\u015fkenli analiz t\u00fcrlerinin her birine bir \u00f6rnek verilmektedir: <strong>(1)<\/strong> \u00c7al\u0131\u015fmak i\u00e7in harcanan saatler ve <strong>(2)<\/strong> 20 farkl\u0131 \u00f6\u011frenci taraf\u0131ndan al\u0131nan s\u0131nav puanlar\u0131:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-10408 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/bivarie1.png\" alt=\"\" width=\"256\" height=\"411\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h3> <span style=\"color: #000000;\"><strong>1. Nokta bulutlar\u0131<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Da\u011f\u0131l\u0131m grafi\u011fi, iki de\u011fi\u015fkenli analiz ger\u00e7ekle\u015ftirmek i\u00e7in g\u00f6rsel bir yol sa\u011flar. Bir de\u011fi\u015fkenin de\u011ferini x eksenine, di\u011fer de\u011fi\u015fkenin de\u011ferini y eksenine yerle\u015ftirerek iki de\u011fi\u015fken aras\u0131ndaki ili\u015fkiyi g\u00f6rselle\u015ftirmemize olanak tan\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki da\u011f\u0131l\u0131m grafi\u011finde \u00e7al\u0131\u015f\u0131lan saatleri x eksenine, s\u0131nav sonu\u00e7lar\u0131n\u0131 ise y eksenine yerle\u015ftiriyoruz:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-10409 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/bivarie2.png\" alt=\"Da\u011f\u0131l\u0131m grafi\u011fiyle iki de\u011fi\u015fkenli analiz\" width=\"493\" height=\"383\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">\u0130ki de\u011fi\u015fken aras\u0131nda pozitif bir ili\u015fki oldu\u011funu a\u00e7\u0131k\u00e7a g\u00f6rebiliyoruz: ders \u00e7al\u0131\u015fma saati artt\u0131k\u00e7a s\u0131nav puanlar\u0131 da artma e\u011filiminde.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>2. Korelasyon katsay\u0131lar\u0131<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Korelasyon katsay\u0131s\u0131, iki de\u011fi\u015fkenli analiz ger\u00e7ekle\u015ftirmenin ba\u015fka bir yolunu sa\u011flar. En yayg\u0131n korelasyon katsay\u0131s\u0131 t\u00fcr\u00fc, iki de\u011fi\u015fken aras\u0131ndaki do\u011frusal ili\u015fkinin bir \u00f6l\u00e7\u00fcs\u00fc olan <a href=\"https:\/\/statorials.org\/tr\/pearson-korelasyon-katsayisi-1\/\" target=\"_blank\" rel=\"noopener noreferrer\">Pearson korelasyon katsay\u0131s\u0131d\u0131r<\/a> . <em>&nbsp;<\/em> -1 ile 1 aras\u0131nda bir de\u011fere sahiptir; burada:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">-1, iki de\u011fi\u015fken aras\u0131nda tamamen negatif bir do\u011frusal korelasyonu g\u00f6sterir<\/span><\/li>\n<li> <span style=\"color: #000000;\">0, iki de\u011fi\u015fken aras\u0131nda do\u011frusal bir korelasyon olmad\u0131\u011f\u0131n\u0131 g\u00f6sterir<\/span><\/li>\n<li> <span style=\"color: #000000;\">1, iki de\u011fi\u015fken aras\u0131nda m\u00fckemmel pozitif do\u011frusal bir korelasyonu g\u00f6sterir<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bu basit \u00f6l\u00e7\u00fcm bize iki de\u011fi\u015fkenin nas\u0131l ili\u015fkili oldu\u011fu konusunda iyi bir fikir verir. Uygulamada, iki de\u011fi\u015fken aras\u0131ndaki ili\u015fkiyi anlamak ve b\u00f6ylece aralar\u0131ndaki ili\u015fkiyi g\u00f6rselle\u015ftirip <em>\u00f6l\u00e7ebilmek<\/em> i\u00e7in s\u0131kl\u0131kla da\u011f\u0131l\u0131m grafiklerini <em>ve<\/em> korelasyon katsay\u0131lar\u0131n\u0131 kullan\u0131r\u0131z.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>3. Basit do\u011frusal regresyon<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u0130ki de\u011fi\u015fkenli analiz ger\u00e7ekle\u015ftirmenin \u00fc\u00e7\u00fcnc\u00fc yolu<a href=\"https:\/\/statorials.org\/tr\/dogrusal-regresyon-1\/\" target=\"_blank\" rel=\"noopener noreferrer\">basit do\u011frusal regresyon<\/a> kullanmakt\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu y\u00f6ntemi kullanarak bir de\u011fi\u015fkeni <a href=\"https:\/\/statorials.org\/tr\/degiskenleri-aciklayici-yanitlar\/\" target=\"_blank\" rel=\"noopener noreferrer\">a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fken<\/a> , di\u011fer de\u011fi\u015fkeni ise <a href=\"https:\/\/statorials.org\/tr\/degiskenleri-aciklayici-yanitlar\/\" target=\"_blank\" rel=\"noopener noreferrer\">yan\u0131t de\u011fi\u015fkeni<\/a> olarak se\u00e7eriz. Daha sonra veri setine en iyi &#8220;uyan&#8221; sat\u0131r\u0131 buluruz ve bunu daha sonra iki de\u011fi\u015fken aras\u0131ndaki kesin ili\u015fkiyi anlamak i\u00e7in kullanabiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin yukar\u0131daki veri k\u00fcmesi i\u00e7in en uygun sat\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>S\u0131nav puan\u0131 = 69,07 + 3,85*(\u00e7al\u0131\u015f\u0131lan saat)<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu, \u00e7al\u0131\u015f\u0131lan her ek saatin ortalama 3,85&#8217;lik bir s\u0131nav puan\u0131 art\u0131\u015f\u0131yla ili\u015fkili oldu\u011fu anlam\u0131na gelir. Bu do\u011frusal regresyon modelini uygulayarak, \u00e7al\u0131\u015f\u0131lan saat ile s\u0131nav notu aras\u0131ndaki kesin ili\u015fkiyi \u00f6l\u00e7ebiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><b>\u0130lgili:<\/b><\/span> <a href=\"https:\/\/statorials.org\/tr\/basit-dogrusal-regresyon-excel\/\" target=\"_blank\" rel=\"noopener noreferrer\">Excel&#8217;de Basit Do\u011frusal Regresyon Nas\u0131l Ger\u00e7ekle\u015ftirilir<\/a><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00c7\u00f6z\u00fcm<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u0130ki de\u011fi\u015fkenli analiz istatistikte en s\u0131k kullan\u0131lan analiz t\u00fcrlerinden biridir \u00e7\u00fcnk\u00fc genellikle iki de\u011fi\u015fken aras\u0131ndaki ili\u015fkiyi anlamak isteriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Da\u011f\u0131l\u0131m grafiklerini, korelasyon katsay\u0131lar\u0131n\u0131 ve basit do\u011frusal regresyonu kullanarak iki de\u011fi\u015fken aras\u0131ndaki ili\u015fkiyi g\u00f6rselle\u015ftirebilir ve \u00f6l\u00e7ebiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Genellikle bu \u00fc\u00e7 y\u00f6ntem, iki de\u011fi\u015fken aras\u0131ndaki ili\u015fkinin tam bir resmini elde etmek i\u00e7in bir analizde birlikte kullan\u0131l\u0131r. Bu nedenle, her y\u00f6nteme a\u015fina olman\u0131z iyi bir fikirdir.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0130ki de\u011fi\u015fkenli analiz terimi, iki de\u011fi\u015fkenin analizini ifade eder. Bunu \u201cbi\u201d \u00f6n ekinin \u201ciki\u201d anlam\u0131na gelmesinden dolay\u0131 hat\u0131rlayabilirsiniz. \u0130ki de\u011fi\u015fkenli analizin amac\u0131 iki de\u011fi\u015fken aras\u0131ndaki ili\u015fkiyi anlamakt\u0131r. Bu analiz t\u00fcr\u00fcn\u00fc a\u015fa\u011f\u0131dakilerle kar\u015f\u0131la\u015ft\u0131rabilirsiniz: Tek de\u011fi\u015fkenli analiz : Tek de\u011fi\u015fkenin analizi. \u00c7ok de\u011fi\u015fkenli analiz: \u0130ki veya daha fazla de\u011fi\u015fkenin analizi. \u0130ki de\u011fi\u015fkenli analiz ger\u00e7ekle\u015ftirmenin \u00fc\u00e7 yayg\u0131n yolu [&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-1006","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>\u0130ki De\u011fi\u015fkenli Analize H\u0131zl\u0131 Bir Giri\u015f - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitim, resmi bir tan\u0131m ve \u00e7e\u015fitli \u00f6rnekler de dahil olmak \u00fczere iki de\u011fi\u015fkenli analize h\u0131zl\u0131 bir giri\u015f sa\u011flar.\" \/>\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\/iki-degiskenli-analiz\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u0130ki De\u011fi\u015fkenli Analize H\u0131zl\u0131 Bir Giri\u015f - 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