{"id":1402,"date":"2023-07-26T13:04:46","date_gmt":"2023-07-26T13:04:46","guid":{"rendered":"https:\/\/statorials.org\/tr\/korelasyon-ve-regresyon\/"},"modified":"2023-07-26T13:04:46","modified_gmt":"2023-07-26T13:04:46","slug":"korelasyon-ve-regresyon","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/korelasyon-ve-regresyon\/","title":{"rendered":"Korelasyon ve regresyon: fark nedir?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Korelasyon<\/strong> ve <strong>regresyon<\/strong> birbiriyle ili\u015fkili ancak tamamen ayn\u0131 olmayan iki istatistiksel terimdir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu derste her iki terimin de k\u0131sa bir a\u00e7\u0131klamas\u0131n\u0131 sunaca\u011f\u0131z ve bunlar\u0131n nas\u0131l benzer ve farkl\u0131 olduklar\u0131n\u0131 a\u00e7\u0131klayaca\u011f\u0131z.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Korelasyon nedir?<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\"><strong>Korelasyon<\/strong> , <em>x<\/em> ve <em>y<\/em> olmak \u00fczere iki de\u011fi\u015fken aras\u0131ndaki do\u011frusal ili\u015fkiyi \u00f6l\u00e7er. -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;\">\u00d6rne\u011fin, iki de\u011fi\u015fkeni i\u00e7eren a\u015fa\u011f\u0131daki veri setine sahip oldu\u011fumuzu varsayal\u0131m: (1) \u00c7al\u0131\u015f\u0131lan saat ve (2) 20 farkl\u0131 \u00f6\u011frenci i\u00e7in al\u0131nan s\u0131nav puanlar\u0131:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-13907 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/cor_vs_reg1.png\" alt=\"\" width=\"241\" height=\"456\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">\u00c7al\u0131\u015f\u0131lan saatlere ve s\u0131nav sonu\u00e7lar\u0131na g\u00f6re bir da\u011f\u0131l\u0131m grafi\u011fi olu\u015ftursayd\u0131k, \u015f\u00f6yle g\u00f6r\u00fcn\u00fcrd\u00fc:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-13908 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/cor_vs_reg2.png\" alt=\"\" width=\"478\" height=\"441\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Sadece grafi\u011fe bakarak, daha fazla \u00e7al\u0131\u015fan \u00f6\u011frencilerin s\u0131navlarda daha iyi performans g\u00f6sterme e\u011filiminde olduklar\u0131n\u0131 g\u00f6rebiliriz. Yani iki de\u011fi\u015fken aras\u0131nda <strong>pozitif bir ili\u015fkinin<\/strong> oldu\u011funu g\u00f6rsel olarak g\u00f6rebiliyoruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir hesap makinesi kullanarak bu iki de\u011fi\u015fken aras\u0131ndaki korelasyonun r = <strong>0,915<\/strong> oldu\u011funu g\u00f6rebiliriz. Bu de\u011ferin 1&#8217;e yak\u0131n olmas\u0131 iki de\u011fi\u015fken aras\u0131nda pozitif y\u00f6nde g\u00fc\u00e7l\u00fc bir ili\u015fkinin oldu\u011funu do\u011frulamaktad\u0131r.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Regresyon nedir?<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\"><strong>Regresyon,<\/strong> <em>x<\/em> de\u011fi\u015fkeninin de\u011ferlerini de\u011fi\u015ftirmenin <em>y<\/em> de\u011fi\u015fkeninin de\u011ferlerini nas\u0131l etkiledi\u011fini anlamak i\u00e7in kullanabilece\u011fimiz bir y\u00f6ntemdir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir regresyon modeli, yorday\u0131c\u0131 de\u011fi\u015fken olarak <em>x<\/em> de\u011fi\u015fkenini ve <a href=\"https:\/\/statorials.org\/tr\/degiskenleri-aciklayici-yanitlar\/\" target=\"_blank\" rel=\"noopener\">yan\u0131t de\u011fi\u015fkeni<\/a> olarak di\u011fer de\u011fi\u015fken <em>y&#8217;yi<\/em> kullan\u0131r. Daha sonra iki de\u011fi\u015fken aras\u0131ndaki ili\u015fkiyi en iyi tan\u0131mlayan a\u015fa\u011f\u0131daki forma sahip bir denklem bulunur:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u0177 = b <sub>0<\/sub> + b <sub>1<\/sub> x<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>\u0177:<\/strong> yan\u0131t de\u011fi\u015fkeninin tahmin edilen de\u011feri<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>b <sub>0<\/sub> :<\/strong> Ba\u015flang\u0131\u00e7 noktas\u0131ndaki koordinat (x s\u0131f\u0131ra e\u015fit oldu\u011funda y&#8217;nin de\u011feri)<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>b <sub>1<\/sub> :<\/strong> Regresyon katsay\u0131s\u0131 (x&#8217;teki bir birimlik art\u0131\u015f i\u00e7in y&#8217;deki ortalama art\u0131\u015f)<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>x:<\/strong> tahmin de\u011fi\u015fkeninin de\u011feri<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, \u00f6nceki veri k\u00fcmemizi g\u00f6z \u00f6n\u00fcnde bulundurun:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-13907 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/cor_vs_reg1.png\" alt=\"\" width=\"241\" height=\"456\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/tr\/dogrusal-regresyon-hesaplayicisi\/\" target=\"_blank\" rel=\"noopener\">Do\u011frusal bir regresyon hesaplay\u0131c\u0131s\u0131<\/a> kullanarak, a\u015fa\u011f\u0131daki denklemin bu iki de\u011fi\u015fken aras\u0131ndaki ili\u015fkiyi en iyi \u015fekilde tan\u0131mlad\u0131\u011f\u0131n\u0131 bulduk:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Tahmin edilen s\u0131nav puan\u0131 = 65,47 + 2,58*(\u00e7al\u0131\u015fma saati)<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu denklemi yorumlaman\u0131n yolu \u015fudur:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">S\u0131f\u0131r saat e\u011fitim g\u00f6ren bir \u00f6\u011frencinin tahmini s\u0131nav puan\u0131 <strong>65,47&#8217;dir<\/strong> .<\/span><\/li>\n<li> <span style=\"color: #000000;\">Ek bir saatlik \u00e7al\u0131\u015fmayla ili\u015fkili ortalama s\u0131nav puan\u0131 art\u0131\u015f\u0131 <strong>2,58&#8217;dir<\/strong> .<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bu denklemi bir \u00f6\u011frencinin \u00e7al\u0131\u015f\u0131lan saat say\u0131s\u0131na g\u00f6re alaca\u011f\u0131 puan\u0131 tahmin etmek i\u00e7in de kullanabiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin 6 saat ders \u00e7al\u0131\u015fan bir \u00f6\u011frencinin notu <strong>80,95<\/strong> olmal\u0131d\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Tahmin edilen s\u0131nav puan\u0131 = 65,47 + 2,58*(6) = <strong>80,95<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu denklemi da\u011f\u0131l\u0131m grafi\u011finde bir \u00e7izgi olarak da \u00e7izebiliriz:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-13910 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/cor_vs_reg3.png\" alt=\"Da\u011f\u0131l\u0131m grafi\u011finde korelasyon ve regresyon \u00e7izgisi\" width=\"472\" height=\"435\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Regresyon \u00e7izgisinin verilere olduk\u00e7a iyi \u201cuydu\u011funu\u201d g\u00f6rebiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Daha \u00f6nce bu iki de\u011fi\u015fken aras\u0131ndaki korelasyonun r = <strong>0,915<\/strong> oldu\u011funu hat\u0131rlay\u0131n. Bu de\u011ferin karesini alabilece\u011fimiz ve yan\u0131t de\u011fi\u015fkenindeki yorday\u0131c\u0131 de\u011fi\u015fken taraf\u0131ndan a\u00e7\u0131klanabilen <a href=\"https:\/\/statorials.org\/tr\/varyansin-nasil-yorumlanacagina-dair-basit-bir-aciklama\/\" target=\"_blank\" rel=\"noopener\">varyans\u0131n<\/a> toplam oran\u0131n\u0131 tan\u0131mlayan &#8220;r kare&#8221; ad\u0131 verilen bir say\u0131 elde edebilece\u011fimiz ortaya \u00e7\u0131kt\u0131.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu \u00f6rnekte r <sup>2<\/sup> = 0,915 <sup>2<\/sup> = <strong>0,837<\/strong> . Bu, s\u0131nav puanlar\u0131ndaki de\u011fi\u015fimin %83,7&#8217;sinin \u00e7al\u0131\u015f\u0131lan saat say\u0131s\u0131yla a\u00e7\u0131klanabilece\u011fi anlam\u0131na gelir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Korelasyon ve regresyon: benzerlikler ve farkl\u0131l\u0131klar<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Korelasyon ve regresyon aras\u0131ndaki benzerliklerin ve farkl\u0131l\u0131klar\u0131n bir \u00f6zeti:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Benzerlikler:<\/strong><\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Her ikisi de iki de\u011fi\u015fken aras\u0131ndaki ili\u015fkinin y\u00f6n\u00fcn\u00fc \u00f6l\u00e7er.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Her ikisi de iki de\u011fi\u015fken aras\u0131ndaki ili\u015fkinin g\u00fcc\u00fcn\u00fc \u00f6l\u00e7er.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>Farkl\u0131l\u0131klar:<\/strong><\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Regresyon iki de\u011fi\u015fken aras\u0131ndaki neden-sonu\u00e7 ili\u015fkisini g\u00f6sterme yetene\u011fine sahiptir. Korelasyon bunu yapmaz.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Regresyon, ba\u015fka bir de\u011fi\u015fkenin de\u011ferine ba\u011fl\u0131 olarak bir de\u011fi\u015fkenin de\u011ferini tahmin etmek i\u00e7in bir denklem kullanabilir. Korelasyon bunu yapmaz.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Regresyon, iki de\u011fi\u015fken aras\u0131ndaki ili\u015fkiyi \u00f6l\u00e7mek i\u00e7in bir denklem kullan\u0131r. Korelasyon tek bir say\u0131 kullan\u0131r.<\/span><\/li>\n<\/ul>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki e\u011fitimlerde bu makalede ele al\u0131nan konulara ili\u015fkin daha ayr\u0131nt\u0131l\u0131 a\u00e7\u0131klamalar sunulmaktad\u0131r.<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/tr\/pearson-korelasyon-katsayisi-1\/\" target=\"_blank\" rel=\"noopener\">Pearson Korelasyon Katsay\u0131s\u0131na Giri\u015f<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/dogrusal-regresyon-1\/\" target=\"_blank\" rel=\"noopener\">Basit Do\u011frusal Regresyona Giri\u015f<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/dogrusal-regresyon-hesaplayicisi\/\" target=\"_blank\" rel=\"noopener\">Basit Do\u011frusal Regresyon Hesaplay\u0131c\u0131s\u0131<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/iyi-r-kare-degeri\/\" target=\"_blank\" rel=\"noopener\">\u0130yi bir R-kare de\u011feri nedir?<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Korelasyon ve regresyon birbiriyle ili\u015fkili ancak tamamen ayn\u0131 olmayan iki istatistiksel terimdir. Bu derste her iki terimin de k\u0131sa bir a\u00e7\u0131klamas\u0131n\u0131 sunaca\u011f\u0131z ve bunlar\u0131n nas\u0131l benzer ve farkl\u0131 olduklar\u0131n\u0131 a\u00e7\u0131klayaca\u011f\u0131z. Korelasyon nedir? Korelasyon , x ve y olmak \u00fczere iki de\u011fi\u015fken aras\u0131ndaki do\u011frusal ili\u015fkiyi \u00f6l\u00e7er. -1 ile 1 aras\u0131nda bir de\u011fere sahiptir; burada: -1, iki [&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-1402","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>Korelasyon ve regresyon: fark nedir?<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde korelasyon ve regresyon aras\u0131ndaki benzerlikler ve farkl\u0131l\u0131klar \u00e7e\u015fitli \u00f6rneklerle a\u00e7\u0131klanmaktad\u0131r.\" \/>\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\/korelasyon-ve-regresyon\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Korelasyon ve regresyon: fark nedir?\" \/>\n<meta property=\"og:description\" content=\"Bu e\u011fitimde korelasyon ve regresyon aras\u0131ndaki benzerlikler ve farkl\u0131l\u0131klar \u00e7e\u015fitli \u00f6rneklerle a\u00e7\u0131klanmaktad\u0131r.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/korelasyon-ve-regresyon\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-26T13:04:46+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/cor_vs_reg1.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=\"4 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/tr\/korelasyon-ve-regresyon\/\",\"url\":\"https:\/\/statorials.org\/tr\/korelasyon-ve-regresyon\/\",\"name\":\"Korelasyon ve regresyon: fark nedir?\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-07-26T13:04:46+00:00\",\"dateModified\":\"2023-07-26T13:04:46+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Bu e\u011fitimde korelasyon ve regresyon aras\u0131ndaki benzerlikler ve farkl\u0131l\u0131klar \u00e7e\u015fitli \u00f6rneklerle a\u00e7\u0131klanmaktad\u0131r.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/korelasyon-ve-regresyon\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/korelasyon-ve-regresyon\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/korelasyon-ve-regresyon\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Korelasyon ve regresyon: fark nedir?\"}]},{\"@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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