Question
Download Solution PDFयदि x = X-
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFगणना
यहाँ, सहसंबंध गुणांक = r
⇒ r = Cov(x,y)/SxSy
यहाँ, Cov(x,y) = ∑(X - Y)(Y - Y)/(n - 1)
⇒ Sx = √∑(X - X̅) 2/(n - 1)
⇒ Sy = √∑(Y - Y̅ )2/(n - 1)
⇒ Cov(x,y)/SxSy = ∑(X - X̅)(Y - Y̅)/(n - 1)/√(∑(X - X̅)2)√(∑(Y - Y)2)/(n - 1)
⇒ Cov(x,y)/SxSy = ∑(X - X̅ )(Y - Y̅ )/√(∑(X - X̅ )2)√(∑(Y - Y̅ )2)
⇒ Cov(x,y)/SxSy = ∑xy/√∑x2 × √∑y2 यहाँ, x = (X -
∴ कार्ल पियर्सन का सहसंबंध गुणांक ∑xy/√[∑x2 × ∑y2] है।
Last updated on Jul 7, 2025
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