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Use the following multiple regression equation. Y_i = 50 - 7X_1i + 6X_2i a. Inte

ID: 3257269 • Letter: U

Question

Use the following multiple regression equation. Y_i = 50 - 7X_1i + 6X_2i a. Interpret the meaning of the slopes. b. Interpret the meaning of the Y intercept. a. Interpret the meaning of the slopes. For each one-unit increase in X_1, Y will (1) ____ an estimated _____ units, holding (2) ____ constant. For each one-unit increase in X_2, Y will (3) _____ an estimated _____ units, holding (4) ______ constant. b. Interpret the meaning of the Y intercept. Choose the correct answer below. The Y-intercept 50 estimates the value of Y when X_2 is 0. The Y-intercept 7 estimates the value of Y when both X_1 and X_2 are 0. The Y-intercept 6 estimates the value of Y when both X_1 and X_2 are 0. The Y-intercept 50 estimates the value of Y when both X_1 and X_2 are 0. The Y-intercept 50 estimates the value of Y when X_1 is 0. he Y-intercept 6 estimates the value of Y when X_2 is 0. The Y-intercept 7 estimates the value of Y when X_1 is 0. increase X_2 increase X_1 decrease Y decrease Y X_1 X_2

Explanation / Answer

We are given,

Y^i = 50 – 7X1i +6X2i

Question a) Interpret the meaning of the slopes:

For one -unit increase in X1, Y will decrease an estimated 7 units , holding X2 constant. For each- one unit increase in X2, Y will increase an estimated 6 units holding X1 constant.

Question b) Interpret the meaning of the Y intercept.

( D ) The Y –intercept 50 estimates the value of Y when both X1 and x2 are 0

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