Question

Obtain the two regression lines from the following data N = 20, ΣX = 80, ΣY = 40, ΣX² = 1680, ΣY² = 320 and ΣXY = 480.

Answer 1

ΣX = 80, ΣY = 40, ΣX² = 1680, ΣY² = 320, ΣXY = 480, N = 20

Regression line of Y on X

Regression line of X on Y

X − \(\bar{X}\) = b_xy(Y − \(\bar{Y}\))

X – 4 = 1.33(Y – 2)

X = 1.33Y – 2.66 + 4 

X = 1.33Y + 1.34