Question

It is given that bar X = 10, bar Y = 90, σ_x = 3, σ_y = 12 and r_xy = 0.8. The regression equation of x on y is 

A. y = 3.2x + 58 

B. x = 3.2y + 58 

C. x = −8 + 0.2y 

D. y= −8 + 0.2x

Answer 1

Correct option C. x = −8 + 0.2y

Explanation:

Regression equation of X on Y is

X - bar X = r(σ_x/σ_y)(Y - bar Y)

After Substituting the values and solving it, we get 

X = - 8 + 0.2Y