Question
Download Solution PDFIf 4y = 15 + 6x is the regression line of y on x, and coefficient of correlation between x and y is 0.9, then regression coefficient of x on y is equal to _______.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven
Regression line of y on x
4y = 15 + 6x
y = 15/4 + (6/4)x
Coefficient of correlation between x and y = ρxy = 0.9
Formula
If the regression coefficient of x on y be bxy, then
ρxy = √(byx × bxy)
Calculation
bxy = 6/4 = 1.5
⇒ 0.9 =√(1.5 × bxy)
⇒ bxy = (0.9 × 0.9)/1.5
⇒ bxy = 0.54
∴ The regression coefficient of x on y is 0.54
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