Suppose That the Regression Equation Y = C₁ + 0

Multiple Choice

Suppose that the regression equation y = c₁ + 0.32 x₁ + 0.41 x₂ + 5.31 x₃ predicts an adult's height (y) given the individual's mother's height (x₁) ,his or her father's height (x₂) ,and whether the individual is male (x₃ = 1) or female (x₃ = 0) .All heights are measured in inches.Assume also that this equation is stable through time,the average adult female height is currently 63.8 inches and the average adult male height is 69.7 inches.If the average female height is stable through time (daughters are on average exactly as tall their mothers) ,then c₁ = ______.

A) There is not enough information to determine the average female height in two generations.
B) 16.515
C) 15.751
D) 14.807
E) 13.155