\(\bar{Y}=\frac{1690}{10}\) = 169
Regression equation of X on Y
Regression equation of Y on X
Y - \(\bar{Y}\) = bxy(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.