Question
Download Solution PDFIf x = 3u + 1 and y = 4v + 2 and the regression coefficient between u and v is 1.2, then find regression coefficient between x and y?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDF1 - Given
X = 3u + 1
Y = 4v + 2
Regression coefficient between x and y = (buv) = 1.2
Formula
Regression coefficient are independent of origin but depend on scale
If u = ax + b and v = cy + d
Then buv = (a/c) × bxy
Calculation
According to the question
x = 3u + 1
⇒ u = x/3 – 1/3
Similarly
v = y/4 – 1/2
By using buv = (a/c) × bxy
⇒ 1.2 = (1/3)/(1/4)bxy
⇒ 1.2 = (4/3)bxy
⇒ bxy = 3 × 1.2/4
∴ Regression coefficient between x and y is 0.9
Last updated on Jul 7, 2025
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