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Find regression coefficient of y on x (byx) if correlation coefficient between x and y values is 0.75 and standard deviation of x and y are 5 and 6.4 respectively. 
1. 0.96
2. 0.59
3. 1.04
4. 1.7

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Correct Answer - Option 1 : 0.96

Given 

Correlation coefficient between x on y = 0.75

Standard deviation of x and y = 5 and 6.4

Formula

Correlation coefficient ‘r’ = Cov(x,y)/SxSy

Cov(x,y) = Coveriance of x and y

Sx = Standard deviation of x

Sy = Standard deviation of y

Correlation coefficient of y on x = byx = Cov(x,y)/Sx2

Calculation

0.75 = Cov(x,y)/5 × 6.4

⇒ Cov(x,y) = 0.75 × 5 × 6.4

⇒ Cov(x,y) = 24

⇒ byx = 24/52

∴ byx = 24/25

correlation coefficient of y on x is 0.96

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