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Given x = 2y + 4 and y = kx + 6 are the lines of regression of x on y and y on x respective.

Find the value of k, if value of r is 0.5.

Answer (Detailed Solution Below)

Option 1 :
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Detailed Solution

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CONCEPT:

Correlation coefficient is the geometric mean between regression coefficients i.e.

CALCULATIONS:

Given equations are x = 2y + 4 and y = kx + 6.

 And 

           (On squaring both sides)

                      ⇒ 

∴ 

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