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If 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 _______.
1. 0.54
2. 0.45
3. 0.81
4. 0.72

1 Answer

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Best answer
Correct Answer - Option 1 : 0.54

Given

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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