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For this problem, use the multiple regression equation below to complete parts (a) and (b). Y₁ = 10 + 5X₁₁; +3X₂i a. Interpret the meaning of the slopes. OA. If X₁ increases one unit, Y increases 5 units. If X₂ increases one unit, Y increases 3 units. O 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. OC. 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. OD. If X₁ increases one unit, Y increases 3 units. If X₂ increases one unit, Y increases 5 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 X₁ and X₂ are both 0. B. The Y-intercept 10 is the estimate of the mean value of Y if X₁ is 0.

For this problem, use the multiple regression equation below to complete parts (a) and (b). Y₁ = 10 + 5X₁₁; +3X₂i a. Interpret the meaning of the slopes. OA. If X₁ increases one unit, Y increases 5 units. If X₂ increases one unit, Y increases 3 units. O 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. OC. 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. OD. If X₁ increases one unit, Y increases 3 units. If X₂ increases one unit, Y increases 5 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 X₁ and X₂ are both 0. B. The Y-intercept 10 is the estimate of the mean value of Y if X₁ is 0.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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For this problem, use the multiple regression equation below to complete parts (a) and (b). \[ \hat{Y}_i = 10 + 5X_{1i} + 3X_{2i} \] **a. Interpret the meaning of the slopes.** A. If \(X_1\) increases one unit, \(Y\) increases 5 units. If \(X_2\) increases one unit, \(Y\) increases 3 units. B. If \(X_2\) is constant, when \(X_1\) increases one unit, \(Y\) increases 5 units. If \(X_1\) is constant, when \(X_2\) increases one unit, \(Y\) increases 3 units. C. If \(X_2\) is constant, when \(X_1\) increases one unit, \(Y\) increases 3 units. If \(X_1\) is constant, when \(X_2\) increases one unit, \(Y\) increases 5 units. D. If \(X_1\) increases one unit, \(Y\) increases 3 units. If \(X_2\) 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 \(Y\) if \(X_1\) and \(X_2\) are both 0. B. The Y-intercept 10 is the estimate of the mean value of \(Y\) if \(X_1\) is 0. C. The Y-intercept 5 is the estimate of the mean value of \(Y\) if \(X_2\) is 0.
Transcribed Image Text:For this problem, use the multiple regression equation below to complete parts (a) and (b). \[ \hat{Y}_i = 10 + 5X_{1i} + 3X_{2i} \] **a. Interpret the meaning of the slopes.** A. If \(X_1\) increases one unit, \(Y\) increases 5 units. If \(X_2\) increases one unit, \(Y\) increases 3 units. B. If \(X_2\) is constant, when \(X_1\) increases one unit, \(Y\) increases 5 units. If \(X_1\) is constant, when \(X_2\) increases one unit, \(Y\) increases 3 units. C. If \(X_2\) is constant, when \(X_1\) increases one unit, \(Y\) increases 3 units. If \(X_1\) is constant, when \(X_2\) increases one unit, \(Y\) increases 5 units. D. If \(X_1\) increases one unit, \(Y\) increases 3 units. If \(X_2\) 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 \(Y\) if \(X_1\) and \(X_2\) are both 0. B. The Y-intercept 10 is the estimate of the mean value of \(Y\) if \(X_1\) is 0. C. The Y-intercept 5 is the estimate of the mean value of \(Y\) if \(X_2\) is 0.
**Multiple Regression Analysis** For this problem, use the multiple regression equation below to complete parts (a) and (b). \[ \hat{Y}_i = 10 + 5X_{1i} + 3X_{2i} \] --- **a. Effects of \(X_1\) and \(X_2\) on \(Y\)** - **Option B:** If \(X_2\) is constant, when \(X_1\) increases one unit, \(Y\) increases 5 units. If \(X_1\) is constant, when \(X_2\) increases one unit, \(Y\) increases 3 units. - **Option C:** If \(X_2\) is constant, when \(X_1\) increases one unit, \(Y\) increases 3 units. If \(X_1\) is constant, when \(X_2\) increases one unit, \(Y\) increases 5 units. - **Option D:** If \(X_1\) increases one unit, \(Y\) increases 3 units. If \(X_2\) increases one unit, \(Y\) increases 5 units. --- **b. Interpret the meaning of the Y-intercept.** - **Option A:** The Y-intercept 10 is the estimate of the mean value of \(Y\) if \(X_1\) and \(X_2\) are both 0. - **Option B:** The Y-intercept 10 is the estimate of the mean value of \(Y\) if \(X_1\) is 0. - **Option C:** The Y-intercept 5 is the estimate of the mean value of \(Y\) if \(X_1\) is 0. - **Option D:** The Y-intercept 5 is the estimate of the mean value of \(Y\) if \(X_1\) and \(X_2\) are both 0.
Transcribed Image Text:**Multiple Regression Analysis** For this problem, use the multiple regression equation below to complete parts (a) and (b). \[ \hat{Y}_i = 10 + 5X_{1i} + 3X_{2i} \] --- **a. Effects of \(X_1\) and \(X_2\) on \(Y\)** - **Option B:** If \(X_2\) is constant, when \(X_1\) increases one unit, \(Y\) increases 5 units. If \(X_1\) is constant, when \(X_2\) increases one unit, \(Y\) increases 3 units. - **Option C:** If \(X_2\) is constant, when \(X_1\) increases one unit, \(Y\) increases 3 units. If \(X_1\) is constant, when \(X_2\) increases one unit, \(Y\) increases 5 units. - **Option D:** If \(X_1\) increases one unit, \(Y\) increases 3 units. If \(X_2\) increases one unit, \(Y\) increases 5 units. --- **b. Interpret the meaning of the Y-intercept.** - **Option A:** The Y-intercept 10 is the estimate of the mean value of \(Y\) if \(X_1\) and \(X_2\) are both 0. - **Option B:** The Y-intercept 10 is the estimate of the mean value of \(Y\) if \(X_1\) is 0. - **Option C:** The Y-intercept 5 is the estimate of the mean value of \(Y\) if \(X_1\) is 0. - **Option D:** The Y-intercept 5 is the estimate of the mean value of \(Y\) if \(X_1\) and \(X_2\) are both 0.
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Slopes in multiple regression is known as partial slopes :

 

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