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Daha fazlası ve ders videolarını sıralı izlemek için: https://www.khanacademy.org.tr Matematikten sanat tarihine...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4736926/d868939873bd2998c858ab0d5f7ec4a3/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/hzpF6gAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"6","reqid":"1769398008774599-15909041341753795733-balancer-l7leveler-kubr-yp-vla-201-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769398008774599-15909041341753795733-balancer-l7leveler-kubr-yp-vla-201-BAL&text=videoid:4115615923572427038","teaser":[{"list":{"type":"unordered","items":["Bu video, bir eğitmen tarafından sunulan korelasyon katsayısı konusunu anlatan bir eğitim içeriğidir. Eğitmen, interaktif bir alıştırma üzerinden korelasyon katsayısının mantığını açıklamaktadır.","Video, korelasyon katsayısının iki değişken arasındaki bağıntının lineer bir model aracılığıyla ne kadar iyi tanımlandığını ölçtüğünü anlatmaktadır. Eğitmen önce r=1, r=-1 ve r=0 durumlarını koordinat eksenlerinde çizerek açıklar, ardından dört farklı saçılım grafiğini inceleyerek her birine uygun korelasyon katsayısını belirler. Her grafik için lineer bir modelle nasıl açıklanabileceği ve bu modelin korelasyon katsayısının ne anlama geldiği detaylı olarak anlatılmaktadır."]},"endTime":450,"title":"Korelasyon Katsayısı Eğitim Videosu","beginTime":0}],"fullResult":[{"index":0,"title":"Korelasyon Katsayısının Mantığı","list":{"type":"unordered","items":["Korelasyon katsayıları, iki değişken arasındaki bağıntının lineer bir model aracılığıyla ne kadar iyi tanımlandığını ölçerler.","Korelasyon katsayısı (r) 1 olduğunda, değişkenlerden biri artarken diğeri de artıyor ve lineer bir model bu bağıntıyı kusursuz bir biçimde tanımlıyor.","Korelasyon katsayısı -1 olduğunda, değişkenlerden biri artarken diğeri azalıyor ve lineer bir model bu bağıntıyı da iyi bir biçimde tanımlıyor."]},"beginTime":0,"endTime":140,"href":"/video/preview/4115615923572427038?parent-reqid=1769398008774599-15909041341753795733-balancer-l7leveler-kubr-yp-vla-201-BAL&text=KATAII&t=0&ask_summarization=1"},{"index":1,"title":"Korelasyon Katsayısı","list":{"type":"unordered","items":["Korelasyon katsayısı 0 olduğunda, veriler arasında lineer bir model yerleştirmek çok zor ve iki değişken arasındaki bağıntıyı düzgün bir biçimde tanımlayamıyor.","Kusursuz durumlar (r=1 ve r=-1) nadir görülür, gerçekte karşımıza çıkacak durumlar daha karmaşık olabilir.","Korelasyon katsayısı, noktaların doğruyla olan uzaklıklarını ve genel eğilimi göz önünde bulundurarak hesaplanır."]},"beginTime":140,"endTime":187,"href":"/video/preview/4115615923572427038?parent-reqid=1769398008774599-15909041341753795733-balancer-l7leveler-kubr-yp-vla-201-BAL&text=KATAII&t=140&ask_summarization=1"},{"index":2,"title":"Saçılım Grafikleri ve Korelasyon","list":{"type":"unordered","items":["Saçılım grafiklerinde, noktaların doğruya olan uzaklıklarını mümkün olduğunca az tutarak genel eğilim görülebilir.","Negatif ve kuvvetli bir korelasyon durumunda, r değeri -1'e yakın olur ve noktalar doğruyla ters yönde hareket eder.","Pozitif ve güçlü bir korelasyon 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istatistik dersimizde korelasyon analizinin diğer alt başlıkları olan belirlilik katsayısı ve sıralama korelasyonu anlatılmakta ve ders bitiminde bu alt başlıklarla ilgili çalışma soruları...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2967838/a3537a4625ea5d82f36c1d9fc934272f/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/qEzOoQAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"7","reqid":"1769398008774599-15909041341753795733-balancer-l7leveler-kubr-yp-vla-201-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769398008774599-15909041341753795733-balancer-l7leveler-kubr-yp-vla-201-BAL&text=videoid:11582711257515907392","teaser":[{"list":{"type":"unordered","items":["Bu video, bir eğitmen tarafından sunulan istatistik dersinin bir bölümüdür. Eğitmen, öğrencilere korelasyon analizi konusunu anlatmaktadır.","Video, korelasyon analizinin temel kavramlarını ele almaktadır. İlk olarak belirlilik katsayısı (r²) kavramı açıklanmakta, ardından korelasyon katsayısı ve sıralama korelasyonu konuları örneklerle gösterilmektedir. Eğitmen, her iki konuyu da formüllerle ve pratik örneklerle detaylı bir şekilde anlatmaktadır.","Videoda ayrıca bağımlı ve bağımsız değişkenler arasındaki ilişki, farklı mağaza sıralamaları üzerinden sıralama korelasyonunun hesaplanması ve yorumlanması gibi konular da ele alınmaktadır. Eğitmen, konuları adım adım açıklayarak öğrencilere çalışma sorularını çözmektedir."]},"endTime":1158,"title":"İstatistik Dersi: Korelasyon Analizi","beginTime":0}],"fullResult":[{"index":0,"title":"Korelasyon Analizi ve Belirlilik Katsayısı","list":{"type":"unordered","items":["Bu derste korelasyon analizinden devam edilerek belirlilik katsayısı ve sıralama korelasyonu konuları ele alınacaktır.","Kovaryans iki değişken arasındaki ilişki yönünü (aynı yönde, zıt yönde veya ilişki yok) belirtirken, korelasyon katsayısı hem yönü hem de ilişki şiddetini verir.","Belirlilik katsayısı, bağımlı değişken üzerindeki değişimlerin yüzde kaçı bağımsız değişken tarafından etkilendiğini gösterir ve korelasyon katsayısının karesi olarak hesaplanır."]},"beginTime":5,"endTime":83,"href":"/video/preview/11582711257515907392?parent-reqid=1769398008774599-15909041341753795733-balancer-l7leveler-kubr-yp-vla-201-BAL&text=KATAII&t=5&ask_summarization=1"},{"index":1,"title":"Belirlilik Katsayısının Özellikleri","list":{"type":"unordered","items":["Korelasyon katsayısı -1 ile +1 arasında değer alırken, belirlilik katsayısı (r²) 0 ile +1 arasında değer alır.","Belirlilik katsayısı 0 ise bağımsız değişkenin bağımlı değişken üzerinde hiçbir etkisi yoktur, 1 ise bağımlı değişkenin tamamının bağımsız değişken tarafından etkilendiğini gösterir.","Örnek olarak, müşteri sayısı ile ciro arasındaki ilişki hesaplanarak korelasyon katsayısı 0,95 bulunmuş ve belirlilik katsayısı 0,90 (yaklaşık %90) olarak hesaplanmış, bu da mağazanın ciro yapmasındaki %90'unun müşteri sayısından kaynaklandığını göstermektedir."]},"beginTime":83,"endTime":302,"href":"/video/preview/11582711257515907392?parent-reqid=1769398008774599-15909041341753795733-balancer-l7leveler-kubr-yp-vla-201-BAL&text=KATAII&t=83&ask_summarization=1"},{"index":2,"title":"Sıralama Korelasyonu","list":{"type":"unordered","items":["Sıralama korelasyonu, gözlemlerin sayısal ölçü yerine sıralamalar şeklinde verilmesi durumunda kullanılır ve gözlemler önem derecelerine göre sıra numarası verilerek hesaplanır.","Sıralama korelasyonu (rₛ) formülü: 1 - (6Σd²) / (n(n²-1)) şeklindedir, burada d sıralamalar arasındaki farkları, n ise gözlem sayısıdır.","Sıralama korelasyonu da -1 ile +1 arasında değer alabilir; -1 veya +1 çıkması durumunda sıralamalar arasında güçlü bir ilişki vardır."]},"beginTime":302,"endTime":423,"href":"/video/preview/11582711257515907392?parent-reqid=1769398008774599-15909041341753795733-balancer-l7leveler-kubr-yp-vla-201-BAL&text=KATAII&t=302&ask_summarization=1"},{"index":3,"title":"Sıralama Korelasyonu Örnekleri","list":{"type":"unordered","items":["İki firmaların müdürlerinin kurumlar arasındaki güvenilirlik sıralamaları karşılaştırıldığında, aynı yönlü güçlü bir ilişki (0,78) tespit edilmiştir.","Eğer müdürlerin sıralamaları tam ters olsaydı (örneğin birinci sıralama: 1,2,3,4,5,6; ikinci sıralama: 6,5,4,3,2,1), zıt yönlü güçlü bir ilişki (-1) tespit edilirdi."]},"beginTime":423,"endTime":671,"href":"/video/preview/11582711257515907392?parent-reqid=1769398008774599-15909041341753795733-balancer-l7leveler-kubr-yp-vla-201-BAL&text=KATAII&t=423&ask_summarization=1"},{"index":4,"title":"Belirlilik Katsayısı","list":{"type":"unordered","items":["Bağımlı ve bağımsız iki değişkenden oluşan araştırmada, bağımlı değişkende meydana gelen değişimlerin ne kadarının bağımsız değişken tarafından etkilendiği belirlilik katsayısı (r kare) ile ifade edilir.","Belirlilik katsayısı 0 ile 1 arasında değer alır; 1 ise değişimin %100'ünün bağımsız değişken sebebiyle olduğu, 0 ise bağımsız değişken ile hiçbir ilişkisi olmadığı anlamına gelir.","Belirlilik katsayısı, korelasyon katsayısının karesi olarak bulunur, korelasyon katsayısının karesinin yarısı şeklinde ifade edilmesi yanlıştır."]},"beginTime":677,"endTime":799,"href":"/video/preview/11582711257515907392?parent-reqid=1769398008774599-15909041341753795733-balancer-l7leveler-kubr-yp-vla-201-BAL&text=KATAII&t=677&ask_summarization=1"},{"index":5,"title":"Korelasyon Katsayısı Örneği","list":{"type":"unordered","items":["Korelasyon katsayısı 0,5 olarak bulunmuşsa, bağımlı değişkende meydana gelen değişimlerin %25'inin (0,5² = 0,25) bağımsız değişken tarafından etkilendiği anlaşılır."]},"beginTime":799,"endTime":849,"href":"/video/preview/11582711257515907392?parent-reqid=1769398008774599-15909041341753795733-balancer-l7leveler-kubr-yp-vla-201-BAL&text=KATAII&t=799&ask_summarization=1"},{"index":6,"title":"Sıralama Korelasyonu","list":{"type":"unordered","items":["İki ilde dört mağazanın ciro sıralamaları arasındaki ilişki sıralama korelasyonu ile incelenir.","Sıralamalar tam ters yönde ise, sıralama korelasyonu -1 değerini alır ve güçlü bir negatif ilişki gösterir.","Sıralamalar birbirine yakın ise, 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