\(\bar{Y}=\frac{1690}{10}\) = 169

Regression equation of X on Y

Regression equation of Y on X

**Y - \(\bar{Y}\) = b**_{xy}(X - \(\bar{X}\))

Y – 169 = 0.610 (X – 168.6)

Y – 169 = 0.610X – 102.846

Y = 0.610X – 102.846 + 169

Y = 0.160X + 66.154 … (1)

To get son’s height (Y) when the father height is X = 164 cm.

**Put X = 164 cm in equation (1) we get **

Son’s height = 0.610 × 164 + 66.154

= 100.04 + 66.154 cm

**= 169.19 cm.**