For this problem, use the multiple regression equation below to complete parts (

Question

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

For this problem, use the multiple regression equation below to complete parts (a) and (b). îi = 10 + 5X11 + 3Xzi a. Interpret the meaning of the slopes. O A. If Xincreases one unit, Y increases 5 units. If X, increases one unit, Y increases 3 units. O B. If X, is constant, when X, increases one unit, Y increases 3 units. If X, is constant, when X2 increases one unit, Y increases 5 units. OC. If X, increases one unit, Y increases 3 units. If X, increases one unit, Y increases 5 units. OD. If X, is constant, when X, increases one unit, Y increases 5 units. If X, is constant, when X, increases one unit, Y increases 3 units. b. Interpret the meaning of the Y-intercept. O A. The Y-intercept 10 is the estimate of the mean value of Y if X, is 0. O B. The Y-intercept 5 is the estimate of the mean value of Y if X, is 0. oc. The Y-intercept 5 is the estimate of the mean value of Y if X, and X2 are both 0. OD. The Y-intercept 10 is the estimate of the mean value of Y if X, and X2 are both O.

Explanation / Answer

The regression equation is y=10+5x1+3x2

a) this means that if x1 is increased by 1 unit, y is increased by 5 units if everything else is held constant. thus answer is A

b) intercept is 10, this means that answer is D

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