Question

For this problem, use the multiple regression equation below to complete parts (a) and (b).

Yi=10+5X1i+3X2i

a. Interpret the meaning of the slopes.

A. If X1 increases one unit, Y increases 3 units. If X2 increases one unit, Y increases 5 units.

B. If X2 is constant, when X1 increases one unit, Y increases 5 units. If X1 is constant when X2

increases one unit, Y increases 3 units. Your answer is correct.

C. If X1 increases one unit, Y increases 5 units. If X2 increases one unit, Y increases 3 units.

D. If X2 is constant when X1 increases one unit, Y increases 3 units. If X1

is constant, when X2 increases one unit, Y increases 5 units.

b. Interpret the meaning of the Y-intercept.

A. The Y-intercept 10 is the estimate of the mean value of Y X1 and X2 are both 0.

B. The Y-intercept 10 is the estimate of the mean value of Y if X1 is 0.

C. The Y-intercept 5 is the estimate of the mean value of Y if X1 and X2 are both 0.

D. The Y-intercept 5 is the estimate of the mean value of Y if X1 is 0.

Answer 1

a) Slope of regression equation denotes that change in dependent variable due to 1 unit change in independent varuables.

So, answer is:

B. If X2 is constant, when X1 increases one unit, Y increases 5 units. If X1 is constant when X2

increases one unit, Y increases 3 units.

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b) Y intercept is the value of dependent variable when the independent variables take the value=0

So, answer is :

A. The Y-intercept 10 is the estimate of the mean value of Y X1 and X2 are both 0.

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