{"id":1149,"date":"2023-07-27T12:19:51","date_gmt":"2023-07-27T12:19:51","guid":{"rendered":"https:\/\/statorials.org\/tr\/regresyon-ve-siniflandirma\/"},"modified":"2023-07-27T12:19:51","modified_gmt":"2023-07-27T12:19:51","slug":"regresyon-ve-siniflandirma","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/regresyon-ve-siniflandirma\/","title":{"rendered":"Regresyon veya s\u0131n\u0131fland\u0131rma: fark nedir?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Makine \u00f6\u011frenimi algoritmalar\u0131 iki farkl\u0131 t\u00fcre ayr\u0131labilir: <a href=\"https:\/\/statorials.org\/tr\/denetimli-ve-denetimsiz-ogrenme\/\" target=\"_blank\" rel=\"noopener noreferrer\">denetimli ve denetimsiz \u00f6\u011frenme algoritmalar\u0131<\/a> .<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-11503 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/supervise4.png\" alt=\"Regresyon veya s\u0131n\u0131fland\u0131rma makine \u00f6\u011frenimi algoritmalar\u0131\" width=\"627\" height=\"239\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Denetimli \u00f6\u011frenme algoritmalar\u0131 iki t\u00fcre ayr\u0131labilir:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1. Regresyon:<\/strong> <strong>Yan\u0131t de\u011fi\u015fkeni s\u00fcreklidir.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin <a href=\"https:\/\/statorials.org\/tr\/degiskenleri-aciklayici-yanitlar\/\" target=\"_blank\" rel=\"noopener noreferrer\">yan\u0131t de\u011fi\u015fkeni<\/a> \u015fu \u015fekilde olabilir:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">A\u011f\u0131rl\u0131k<\/span><\/li>\n<li> <span style=\"color: #000000;\">Y\u00fckseklik<\/span><\/li>\n<li> <span style=\"color: #000000;\">Fiyat<\/span><\/li>\n<li> <span style=\"color: #000000;\">Zaman<\/span><\/li>\n<li> <span style=\"color: #000000;\">T\u00fcm birimler<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Her durumda, bir regresyon modeli s\u00fcrekli bir miktar\u0131 tahmin etmeye \u00e7al\u0131\u015f\u0131r.<\/span><\/p>\n<blockquote>\n<p> <strong><span style=\"color: #000000;\">Regresyon \u00f6rne\u011fi:<\/span><\/strong><\/p>\n<p> <span style=\"color: #000000;\">Diyelim ki 100 farkl\u0131 ev i\u00e7in \u00fc\u00e7 de\u011fi\u015fken i\u00e7eren bir veri setimiz var: metrekare, banyo say\u0131s\u0131 ve sat\u0131\u015f fiyat\u0131.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fkenler olarak metrekare ve banyo say\u0131s\u0131n\u0131, tepki de\u011fi\u015fkeni olarak da sat\u0131\u015f fiyat\u0131n\u0131 kullanan bir regresyon modeli uydurabiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Daha sonra bu modeli, metrekare ve banyo say\u0131s\u0131na g\u00f6re bir evin sat\u0131\u015f fiyat\u0131n\u0131 tahmin etmek i\u00e7in kullanabiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu bir regresyon modeli \u00f6rne\u011fidir \u00e7\u00fcnk\u00fc tepki de\u011fi\u015fkeni (sat\u0131\u015f fiyat\u0131) s\u00fcreklidir.<\/span><\/p>\n<\/blockquote>\n<p> <span style=\"color: #000000;\">Bir regresyon modelinin do\u011frulu\u011funu \u00f6l\u00e7menin en yayg\u0131n yolu, tahmin edilen de\u011ferlerimizin bir modelde g\u00f6zlemlenen de\u011ferlerimizden ortalama olarak ne kadar uzakta oldu\u011funu bize s\u00f6yleyen bir \u00f6l\u00e7\u00fcm olan k\u00f6k ortalama kare hatas\u0131n\u0131n (RMSE) hesaplanmas\u0131d\u0131r. A\u015fa\u011f\u0131daki \u015fekilde hesaplan\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>RMSE<\/strong> = \u221a <span style=\"border-top: 1px solid black;\">\u03a3(P <sub>ben<\/sub> \u2013 \u00d6 <sub>ben<\/sub> ) <sup>2<\/sup> \/ n<\/span><\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u03a3 &#8220;toplam&#8221; anlam\u0131na gelen s\u00fcsl\u00fc bir sembold\u00fcr<\/span><\/li>\n<li> <span style=\"color: #000000;\">P <sub>i,<\/sub> <sup>i&#8217;inci<\/sup> g\u00f6zlem i\u00e7in tahmin edilen de\u011ferdir<\/span><\/li>\n<li> <span style=\"color: #000000;\">O <sub>i,<\/sub> <sup>i&#8217;inci<\/sup> g\u00f6zlem i\u00e7in g\u00f6zlemlenen de\u011ferdir<\/span><\/li>\n<li> <span style=\"color: #000000;\">n \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fcd\u00fcr<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">RMSE ne kadar k\u00fc\u00e7\u00fck olursa, regresyon modeli verilere o kadar iyi uyum sa\u011flayabilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2. S\u0131n\u0131fland\u0131rma:<\/strong> <strong>Yan\u0131t de\u011fi\u015fkeni kategoriktir.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin yan\u0131t de\u011fi\u015fkeni a\u015fa\u011f\u0131daki de\u011ferleri alabilir:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Erkek veya kad\u0131n<\/span><\/li>\n<li> <span style=\"color: #000000;\">Ba\u015far\u0131l\u0131 veya ba\u015far\u0131s\u0131z<\/span><\/li>\n<li> <span style=\"color: #000000;\">D\u00fc\u015f\u00fck, orta veya y\u00fcksek<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Her durumda, bir s\u0131n\u0131fland\u0131rma modeli bir s\u0131n\u0131f etiketini tahmin etmeye \u00e7al\u0131\u015f\u0131r.<\/span><\/p>\n<blockquote>\n<p> <strong><span style=\"color: #000000;\">S\u0131n\u0131fland\u0131rma \u00f6rne\u011fi:<\/span><\/strong><\/p>\n<p> <span style=\"color: #000000;\">Diyelim ki 100 farkl\u0131 \u00fcniversite basketbol oyuncusu i\u00e7in \u00fc\u00e7 de\u011fi\u015fken i\u00e7eren bir veri setimiz var: ma\u00e7 ba\u015f\u0131na puan ortalamas\u0131, lig seviyesi ve NBA&#8217;e se\u00e7ilip se\u00e7ilmedikleri.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fkenler olarak oyun ba\u015f\u0131na ve b\u00f6l\u00fcm seviyesi ba\u015f\u0131na ortalama puanlar\u0131 kullanan ve yan\u0131t de\u011fi\u015fkeni olarak &#8220;taslaklanm\u0131\u015f&#8221; bir s\u0131n\u0131fland\u0131rma modelini uyarlayabiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Daha sonra bu modeli, belirli bir oyuncunun ma\u00e7 ba\u015f\u0131na ald\u0131\u011f\u0131 puan ortalamas\u0131na ve lig seviyesine g\u00f6re NBA&#8217;e al\u0131n\u0131p al\u0131nmayaca\u011f\u0131n\u0131 tahmin etmek i\u00e7in kullanabiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Yan\u0131t de\u011fi\u015fkeni (\u201cyaz\u0131l\u0131\u201d) kategorik oldu\u011fundan bu bir s\u0131n\u0131fland\u0131rma modeli \u00f6rne\u011fidir. Yani sadece iki farkl\u0131 kategoride de\u011fer alabiliyor: \u201cYaz\u0131l\u0131\u201d veya \u201cTaslaks\u0131z\u201d.<br \/><\/span><\/p>\n<\/blockquote>\n<p> <span style=\"color: #000000;\">Bir s\u0131n\u0131fland\u0131rma modelinin do\u011frulu\u011funu \u00f6l\u00e7menin en yayg\u0131n yolu, model taraf\u0131ndan yap\u0131lan do\u011fru s\u0131n\u0131fland\u0131rmalar\u0131n y\u00fczdesini hesaplamakt\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Do\u011fruluk = d\u00fczeltme s\u0131n\u0131fland\u0131rmalar\u0131 \/ toplam s\u0131n\u0131fland\u0131rma denemesi say\u0131s\u0131 * %100<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, bir model, bir oyuncunun olas\u0131 100 se\u00e7imden 88&#8217;inde NBA&#8217;e se\u00e7ilip se\u00e7ilmeyece\u011fini do\u011fru bir \u015fekilde tan\u0131ml\u0131yorsa, modelin do\u011frulu\u011fu \u015fu \u015fekildedir:<\/span><\/p>\n<p> <strong><span style=\"color: #000000;\">Do\u011fruluk = (88\/100) * %100 = %88<\/span><\/strong><\/p>\n<p> <span style=\"color: #000000;\">Do\u011fruluk ne kadar y\u00fcksek olursa, s\u0131n\u0131fland\u0131rma modeli sonu\u00e7lar\u0131 o kadar iyi tahmin edebilir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Regresyon ve S\u0131n\u0131fland\u0131rma Aras\u0131ndaki Benzerlikler<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Regresyon ve s\u0131n\u0131fland\u0131rma algoritmalar\u0131 a\u015fa\u011f\u0131daki y\u00f6nlerden benzerdir:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Her ikisi de denetimli \u00f6\u011frenme algoritmalar\u0131d\u0131r, yani her ikisi de bir yan\u0131t de\u011fi\u015fkeni i\u00e7erir.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Her ikisi de bir yan\u0131t\u0131 tahmin etmek amac\u0131yla modeller olu\u015fturmak i\u00e7in bir veya daha fazla <a href=\"https:\/\/statorials.org\/tr\/degiskenleri-aciklayici-yanitlar\/\" target=\"_blank\" rel=\"noopener noreferrer\">a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fken<\/a> kullan\u0131r.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Her ikisi de a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fkenlerin de\u011ferlerindeki de\u011fi\u015fikliklerin bir yan\u0131t de\u011fi\u015fkeninin de\u011ferlerini nas\u0131l etkiledi\u011fini anlamak i\u00e7in kullan\u0131labilir.<\/span><\/li>\n<\/ul>\n<h3> <span style=\"color: #000000;\"><strong>Regresyon ve s\u0131n\u0131fland\u0131rma aras\u0131ndaki farklar<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Regresyon ve s\u0131n\u0131fland\u0131rma algoritmalar\u0131 a\u015fa\u011f\u0131daki \u015fekillerde farkl\u0131l\u0131k g\u00f6sterir:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Regresyon algoritmalar\u0131 s\u00fcrekli bir miktar\u0131 tahmin etmeye \u00e7al\u0131\u015f\u0131r ve s\u0131n\u0131fland\u0131rma algoritmalar\u0131 bir s\u0131n\u0131f etiketini tahmin etmeye \u00e7al\u0131\u015f\u0131r.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Regresyon ve s\u0131n\u0131fland\u0131rma modellerinin do\u011frulu\u011funu nas\u0131l \u00f6l\u00e7t\u00fc\u011f\u00fcm\u00fcz farkl\u0131l\u0131k g\u00f6sterir.<\/span><\/li>\n<\/ul>\n<h3> <span style=\"color: #000000;\"><strong>Regresyonun s\u0131n\u0131fland\u0131rmaya d\u00f6n\u00fc\u015ft\u00fcr\u00fclmesi<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Bir regresyon probleminin, yan\u0131t de\u011fi\u015fkenini basit bir \u015fekilde b\u00f6l\u00fcmlere <strong>ay\u0131rarak<\/strong> bir s\u0131n\u0131fland\u0131rma problemine d\u00f6n\u00fc\u015ft\u00fcr\u00fclebilece\u011fine dikkat edilmelidir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, \u00fc\u00e7 de\u011fi\u015fken i\u00e7eren bir veri setimiz oldu\u011funu varsayal\u0131m: metrekare, banyo say\u0131s\u0131 ve sat\u0131\u015f fiyat\u0131.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Sat\u0131\u015f fiyatlar\u0131n\u0131 tahmin etmek i\u00e7in metrekare ve banyo say\u0131s\u0131n\u0131 kullanarak bir regresyon modeli olu\u015fturabiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ancak sat\u0131\u015f fiyat\u0131n\u0131 \u00fc\u00e7 farkl\u0131 s\u0131n\u0131fa ay\u0131rabiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">80.000 $ \u2013 160.000 $: \u201cD\u00fc\u015f\u00fck sat\u0131\u015f fiyat\u0131\u201d<\/span><\/li>\n<li> <span style=\"color: #000000;\">161.000 $ \u2013 240.000 $: \u201cOrtalama sat\u0131\u015f fiyat\u0131\u201d<\/span><\/li>\n<li> <span style=\"color: #000000;\">241.000 $ \u2013 320.000 $: \u201cY\u00fcksek sat\u0131\u015f fiyat\u0131\u201d<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Daha sonra, belirli bir evin sat\u0131\u015f fiyat\u0131n\u0131n hangi s\u0131n\u0131fa (d\u00fc\u015f\u00fck, orta veya y\u00fcksek) girece\u011fini tahmin etmek i\u00e7in metrekare ve banyo say\u0131s\u0131n\u0131 a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fkenler olarak kullanabiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Her evi bir s\u0131n\u0131fa yerle\u015ftirmeye \u00e7al\u0131\u015ft\u0131\u011f\u0131m\u0131z i\u00e7in bu bir s\u0131n\u0131fland\u0131rma modeli \u00f6rne\u011fi olacakt\u0131r.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6zet<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki tabloda regresyon ve s\u0131n\u0131fland\u0131rma algoritmalar\u0131 aras\u0131ndaki benzerlikler ve farkl\u0131l\u0131klar \u00f6zetlenmektedir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-11509 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/regression_vs_classification1.png\" alt=\"Regresyon ve s\u0131n\u0131fland\u0131rma aras\u0131ndaki farklar\" width=\"668\" height=\"215\" srcset=\"\" sizes=\"auto, \"><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Makine \u00f6\u011frenimi algoritmalar\u0131 iki farkl\u0131 t\u00fcre ayr\u0131labilir: denetimli ve denetimsiz \u00f6\u011frenme algoritmalar\u0131 . Denetimli \u00f6\u011frenme algoritmalar\u0131 iki t\u00fcre ayr\u0131labilir: 1. Regresyon: Yan\u0131t de\u011fi\u015fkeni s\u00fcreklidir. \u00d6rne\u011fin yan\u0131t de\u011fi\u015fkeni \u015fu \u015fekilde olabilir: A\u011f\u0131rl\u0131k Y\u00fckseklik Fiyat Zaman T\u00fcm birimler Her durumda, bir regresyon modeli s\u00fcrekli bir miktar\u0131 tahmin etmeye \u00e7al\u0131\u015f\u0131r. Regresyon \u00f6rne\u011fi: Diyelim ki 100 farkl\u0131 ev i\u00e7in [&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-1149","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 vs. s\u0131n\u0131fland\u0131rma: fark nedir?<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde makine \u00f6\u011freniminde regresyon ve s\u0131n\u0131fland\u0131rma aras\u0131ndaki fark 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\/regresyon-ve-siniflandirma\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Regresyon vs. s\u0131n\u0131fland\u0131rma: fark nedir?\" \/>\n<meta property=\"og:description\" content=\"Bu e\u011fitimde makine \u00f6\u011freniminde regresyon ve s\u0131n\u0131fland\u0131rma aras\u0131ndaki fark a\u00e7\u0131klanmaktad\u0131r.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/regresyon-ve-siniflandirma\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-27T12:19:51+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/supervise4.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=\"5 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/tr\/regresyon-ve-siniflandirma\/\",\"url\":\"https:\/\/statorials.org\/tr\/regresyon-ve-siniflandirma\/\",\"name\":\"Regresyon vs. s\u0131n\u0131fland\u0131rma: fark nedir?\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-07-27T12:19:51+00:00\",\"dateModified\":\"2023-07-27T12:19:51+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Bu e\u011fitimde makine \u00f6\u011freniminde regresyon ve s\u0131n\u0131fland\u0131rma aras\u0131ndaki fark a\u00e7\u0131klanmaktad\u0131r.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/regresyon-ve-siniflandirma\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/regresyon-ve-siniflandirma\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/regresyon-ve-siniflandirma\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Regresyon veya s\u0131n\u0131fland\u0131rma: 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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