{"id":545,"date":"2023-07-29T13:42:06","date_gmt":"2023-07-29T13:42:06","guid":{"rendered":"https:\/\/statorials.org\/tr\/regresyon-analizinde-artiklar-nasil-hesaplanir\/"},"modified":"2023-07-29T13:42:06","modified_gmt":"2023-07-29T13:42:06","slug":"regresyon-analizinde-artiklar-nasil-hesaplanir","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/regresyon-analizinde-artiklar-nasil-hesaplanir\/","title":{"rendered":"Regresyon analizinde art\u0131klar nas\u0131l hesaplan\u0131r?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/tr\/dogrusal-regresyon-1\/\" target=\"_blank\" rel=\"noopener\">Basit do\u011frusal regresyon,<\/a> iki de\u011fi\u015fken (x ve y) aras\u0131ndaki ili\u015fkiyi anlamak i\u00e7in kullanabilece\u011finiz istatistiksel bir y\u00f6ntemdir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>X<\/strong> de\u011fi\u015fkenine yorday\u0131c\u0131 de\u011fi\u015fken ad\u0131 verilir.<\/span> <span style=\"color: #000000;\">Di\u011fer de\u011fi\u015fken, <strong>y<\/strong> , <a href=\"https:\/\/statorials.org\/tr\/degiskenleri-aciklayici-yanitlar\/\" target=\"_blank\" rel=\"noopener\">yan\u0131t de\u011fi\u015fkeni<\/a> olarak bilinir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, yedi ki\u015finin a\u011f\u0131rl\u0131\u011f\u0131n\u0131 ve boyunu i\u00e7eren a\u015fa\u011f\u0131daki veri setine sahip oldu\u011fumuzu varsayal\u0131m:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-1290 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/poids_hauteur1.jpg\" alt=\"Basit do\u011frusal regresyon\" width=\"197\" height=\"200\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><em>A\u011f\u0131rl\u0131k<\/em> belirleyici de\u011fi\u015fken olsun ve <em>boy da<\/em> yan\u0131t de\u011fi\u015fkeni olsun.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu iki de\u011fi\u015fkeni bir da\u011f\u0131l\u0131m grafi\u011fi kullanarak, x ekseninde a\u011f\u0131rl\u0131k ve y ekseninde y\u00fckseklik olacak \u015fekilde grafiklendirirsek<\/span> <span style=\"color: #000000;\">, \u015f\u00f6yle g\u00f6r\u00fcnecektir:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Da\u011f\u0131l\u0131m grafi\u011finden, a\u011f\u0131rl\u0131k artt\u0131k\u00e7a boyun da artma e\u011filiminde oldu\u011funu a\u00e7\u0131k\u00e7a g\u00f6rebiliriz, ancak a\u011f\u0131rl\u0131k ile boy aras\u0131ndaki bu ili\u015fkiyi ger\u00e7ekte <em>\u00f6l\u00e7mek<\/em> i\u00e7in do\u011frusal regresyon kullanmam\u0131z gerekir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Do\u011frusal regresyon kullanarak verilerimize en iyi &#8220;uyan&#8221; \u00e7izgiyi bulabiliriz:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu en iyi uyum \u00e7izgisinin form\u00fcl\u00fc \u015f\u00f6yle yaz\u0131lm\u0131\u015ft\u0131r:<\/span><\/p>\n<p style=\"text-align: center;\"> <span style=\"color: #000000;\">\u0177 = b <sub>0<\/sub> + b <sub>1<\/sub> x<\/span><\/p>\n<p> <span style=\"color: #000000;\">burada \u0177 yan\u0131t de\u011fi\u015fkeninin tahmin edilen de\u011feridir, b <sub>0<\/sub> kesi\u015fme noktas\u0131d\u0131r, b <sub>1<\/sub> regresyon katsay\u0131s\u0131d\u0131r ve x yorday\u0131c\u0131 de\u011fi\u015fkenin de\u011feridir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu \u00f6rnekte en uygun \u00e7izgi \u015fu \u015fekildedir:<\/span><\/p>\n<p style=\"text-align: center;\"> <span style=\"color: #000000;\">boyut = 32,783 + 0,2001*(a\u011f\u0131rl\u0131k)<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Art\u0131klar nas\u0131l hesaplan\u0131r<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Da\u011f\u0131l\u0131m grafi\u011fimizdeki veri noktalar\u0131n\u0131n her zaman en iyi uyum \u00e7izgisine tam olarak kar\u015f\u0131l\u0131k gelmedi\u011fini unutmay\u0131n:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Veri noktas\u0131 ile <strong>\u00e7izgi<\/strong> aras\u0131ndaki bu farka art\u0131k denir. Her veri noktas\u0131 i\u00e7in, o noktan\u0131n kal\u0131nt\u0131s\u0131n\u0131, ger\u00e7ek de\u011feri ile en uygun \u00e7izgiden tahmin edilen de\u011fer aras\u0131ndaki fark\u0131 alarak hesaplayabiliriz.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 1: Art\u0131\u011f\u0131n hesaplanmas\u0131<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin veri setimizdeki yedi ki\u015finin kilosunu ve boyunu hat\u0131rlay\u0131n:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-1290 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/poids_hauteur1.jpg\" alt=\"Basit do\u011frusal regresyon\" width=\"197\" height=\"200\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">\u0130lk birey <strong>140<\/strong> kilo a\u011f\u0131rl\u0131\u011f\u0131nda. ve <strong>60<\/strong> in\u00e7 y\u00fcksekli\u011finde.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu bireyin beklenen boyunu bulmak i\u00e7in, a\u011f\u0131rl\u0131\u011f\u0131n\u0131 en uygun denklem do\u011frusuna yerle\u015ftirebiliriz:<\/span><\/p>\n<p style=\"text-align: center;\"> <span style=\"color: #000000;\">boyut = 32,783 + 0,2001*(a\u011f\u0131rl\u0131k)<\/span><\/p>\n<p> <span style=\"color: #000000;\">Dolay\u0131s\u0131yla bu bireyin tahmini b\u00fcy\u00fckl\u00fc\u011f\u00fc:<\/span><\/p>\n<p style=\"text-align: center;\"> <span style=\"color: #000000;\">y\u00fckseklik = 32,783 + 0,2001*(140)<\/span><\/p>\n<p style=\"text-align: center;\"> <span style=\"color: #000000;\">y\u00fckseklik = 60,797 in\u00e7<\/span><\/p>\n<p> <span style=\"color: #000000;\">Dolay\u0131s\u0131yla bu veri noktas\u0131 i\u00e7in kalan de\u011fer 60 \u2013 60,797 = <strong>-0,797&#8217;dir<\/strong> .<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 2: Art\u0131\u011f\u0131n hesaplanmas\u0131<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Her bir veri noktas\u0131na ili\u015fkin art\u0131\u011f\u0131 hesaplamak i\u00e7in yukar\u0131da kullan\u0131lan s\u00fcrecin ayn\u0131s\u0131n\u0131 kullanabiliriz. \u00d6rne\u011fin veri setimizdeki ikinci bireye ait art\u0131\u011f\u0131 hesaplayal\u0131m:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-1290 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/poids_hauteur1.jpg\" alt=\"Basit do\u011frusal regresyon\" width=\"197\" height=\"200\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">\u0130kinci birey ise <strong>155<\/strong> kilo a\u011f\u0131rl\u0131\u011f\u0131nda. ve <strong>62<\/strong> in\u00e7 y\u00fcksekli\u011finde.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu bireyin beklenen boyunu bulmak i\u00e7in, a\u011f\u0131rl\u0131\u011f\u0131n\u0131 en uygun denklem do\u011frusuna yerle\u015ftirebiliriz:<\/span><\/p>\n<p style=\"text-align: center;\"> <span style=\"color: #000000;\">boyut = 32,783 + 0,2001*(a\u011f\u0131rl\u0131k)<\/span><\/p>\n<p> <span style=\"color: #000000;\">Dolay\u0131s\u0131yla bu bireyin tahmini b\u00fcy\u00fckl\u00fc\u011f\u00fc:<\/span><\/p>\n<p style=\"text-align: center;\"> <span style=\"color: #000000;\">y\u00fckseklik = 32,783 + 0,2001*(155)<\/span><\/p>\n<p style=\"text-align: center;\"> <span style=\"color: #000000;\">y\u00fckseklik = 63,7985 in\u00e7<\/span><\/p>\n<p> <span style=\"color: #000000;\">Yani bu veri noktas\u0131 i\u00e7in kalan de\u011fer 62 \u2013 63,7985 = <strong>-1,7985&#8217;tir<\/strong> .<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>T\u00fcm art\u0131klar\u0131 hesapla<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u00d6nceki iki \u00f6rnekle ayn\u0131 y\u00f6ntemi kullanarak her veri noktas\u0131 i\u00e7in art\u0131klar\u0131 hesaplayabiliriz:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Baz\u0131 art\u0131klar\u0131n pozitif, baz\u0131lar\u0131n\u0131n ise negatif oldu\u011funa dikkat edin. <strong>T\u00fcm art\u0131klar\u0131 toplarsak toplam\u0131 s\u0131f\u0131r olur.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Bunun nedeni, do\u011frusal regresyonun, art\u0131klar\u0131n toplam karesini en aza indiren \u00e7izgiyi bulmas\u0131 ve bu nedenle \u00e7izginin, baz\u0131 veri noktalar\u0131 \u00e7izginin \u00fcst\u00fcnde ve di\u011ferleri \u00e7izginin alt\u0131nda yer alacak \u015fekilde verilerden m\u00fckemmel bir \u015fekilde ge\u00e7mesidir.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Kal\u0131nt\u0131lar\u0131 g\u00f6r\u00fcnt\u00fcle<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\"><strong>Kal\u0131nt\u0131n\u0131n<\/strong> , verinin ger\u00e7ek de\u011feri ile en uygun regresyon \u00e7izgisi taraf\u0131ndan tahmin edilen de\u011fer aras\u0131ndaki mesafe oldu\u011funu unutmay\u0131n. Bu mesafeler bir nokta bulutu \u00fczerinde g\u00f6rsel olarak \u015f\u00f6yle g\u00f6r\u00fcn\u00fcr:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Baz\u0131 art\u0131klar\u0131n di\u011ferlerinden daha b\u00fcy\u00fck oldu\u011funa dikkat edin. Ayr\u0131ca daha \u00f6nce de belirtti\u011fimiz gibi baz\u0131 art\u0131klar pozitif, baz\u0131lar\u0131 ise negatiftir.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Art\u0131k yol olu\u015fturma<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Art\u0131klar\u0131 hesaplaman\u0131n amac\u0131, regresyon \u00e7izgisinin verilere ne kadar iyi uydu\u011funu g\u00f6rmektir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Daha b\u00fcy\u00fck art\u0131klar, regresyon \u00e7izgisinin verilere iyi uymad\u0131\u011f\u0131n\u0131, yani ger\u00e7ek veri noktalar\u0131n\u0131n regresyon \u00e7izgisine yakla\u015fmad\u0131\u011f\u0131n\u0131 g\u00f6sterir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Daha k\u00fc\u00e7\u00fck art\u0131klar, regresyon \u00e7izgisinin verilere daha iyi uydu\u011funu, yani ger\u00e7ek veri noktalar\u0131n\u0131n regresyon \u00e7izgisine daha yak\u0131n oldu\u011funu g\u00f6sterir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">T\u00fcm art\u0131klar\u0131 ayn\u0131 anda g\u00f6rselle\u015ftirmek i\u00e7in kullan\u0131\u015fl\u0131 bir grafik t\u00fcr\u00fc, art\u0131k grafi\u011fidir. <strong>Art\u0131k grafi\u011fi,<\/strong> bir regresyon modeli i\u00e7in art\u0131klara kar\u015f\u0131 tahmin edilen de\u011ferleri g\u00f6r\u00fcnt\u00fcleyen bir \u00e7izim t\u00fcr\u00fcd\u00fcr.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu t\u00fcr grafik genellikle do\u011frusal bir regresyon modelinin belirli bir veri seti i\u00e7in uygun olup olmad\u0131\u011f\u0131n\u0131 de\u011ferlendirmek ve art\u0131klar\u0131n de\u011fi\u015fen varyansl\u0131l\u0131\u011f\u0131n\u0131 kontrol etmek i\u00e7in<\/span> kullan\u0131l\u0131r <span style=\"color: #000000;\">.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Excel&#8217;de basit bir do\u011frusal regresyon modeli i\u00e7in art\u0131k grafi\u011fin nas\u0131l olu\u015fturulaca\u011f\u0131n\u0131 \u00f6\u011frenmek \u00fczere <a href=\"https:\/\/statorials.org\/tr\/excelde-artik-iz-nasil-olusturulur\/\" target=\"_blank\" rel=\"noopener\">bu e\u011fitime<\/a> g\u00f6z at\u0131n.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Basit do\u011frusal regresyon, iki de\u011fi\u015fken (x ve y) aras\u0131ndaki ili\u015fkiyi anlamak i\u00e7in kullanabilece\u011finiz istatistiksel bir y\u00f6ntemdir. X de\u011fi\u015fkenine yorday\u0131c\u0131 de\u011fi\u015fken ad\u0131 verilir. Di\u011fer de\u011fi\u015fken, y , yan\u0131t de\u011fi\u015fkeni olarak bilinir. \u00d6rne\u011fin, yedi ki\u015finin a\u011f\u0131rl\u0131\u011f\u0131n\u0131 ve boyunu i\u00e7eren a\u015fa\u011f\u0131daki veri setine sahip oldu\u011fumuzu varsayal\u0131m: A\u011f\u0131rl\u0131k belirleyici de\u011fi\u015fken olsun ve boy da yan\u0131t de\u011fi\u015fkeni olsun. Bu 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-545","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>Regresyon Analizinde Art\u0131klar Nas\u0131l Hesaplan\u0131r - Statoryaller<\/title>\n<meta name=\"description\" content=\"Regresyon analizinde art\u0131klar\u0131n nas\u0131l hesaplanaca\u011f\u0131na dair basit bir e\u011fitim.\" \/>\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\/regresyon-analizinde-artiklar-nasil-hesaplanir\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Regresyon Analizinde Art\u0131klar Nas\u0131l Hesaplan\u0131r - Statoryaller\" \/>\n<meta property=\"og:description\" content=\"Regresyon analizinde art\u0131klar\u0131n nas\u0131l hesaplanaca\u011f\u0131na dair basit bir e\u011fitim.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/regresyon-analizinde-artiklar-nasil-hesaplanir\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-29T13:42:06+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/poids_hauteur1.jpg\" \/>\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\/regresyon-analizinde-artiklar-nasil-hesaplanir\/\",\"url\":\"https:\/\/statorials.org\/tr\/regresyon-analizinde-artiklar-nasil-hesaplanir\/\",\"name\":\"Regresyon Analizinde Art\u0131klar Nas\u0131l Hesaplan\u0131r - Statoryaller\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-07-29T13:42:06+00:00\",\"dateModified\":\"2023-07-29T13:42:06+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Regresyon analizinde art\u0131klar\u0131n nas\u0131l hesaplanaca\u011f\u0131na dair basit bir e\u011fitim.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/regresyon-analizinde-artiklar-nasil-hesaplanir\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/regresyon-analizinde-artiklar-nasil-hesaplanir\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/regresyon-analizinde-artiklar-nasil-hesaplanir\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Regresyon analizinde art\u0131klar nas\u0131l hesaplan\u0131r?\"}]},{\"@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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