Question: Understanding the fitted regression line. The fitted regression equation for a multiple regression is y = 2.5 + 3.8x1 2.3x2 (a) If x1 =

Understanding the fitted regression line. The fitted regression equation for a multiple regression is

ˆy = 2.5 + 3.8x1 − 2.3x2

(a) If x1 = 4 and x2 = 2, what is the predicted value of y?

(b) For the answer to part

(a) to be valid, is it necessary that the values x1 = 4 and x2 = 2 correspond to a case in the data set?

Explain why or why not.

(c) If you hold x2 at a fixed value, what is the effect of an increase of two units in x1 on the predicted value of y?

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