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.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.3: Lines
Problem 92E
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For this problem, use the multiple regression equation below to complete parts (a) and (b).
Ŷ₁ = 10 + 5X₁₁ + 3X₂i
a. Interpret the meaning of the slopes.
O A. 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.
C. 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.
O D. 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.
Transcribed Image Text:For this problem, use the multiple regression equation below to complete parts (a) and (b). Ŷ₁ = 10 + 5X₁₁ + 3X₂i a. Interpret the meaning of the slopes. O A. 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. C. 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. O D. 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
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.
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.
O D. If X₁ increases one unit, Y increases 3 units. If X₂ increases one unit, Y increases 5 units.
O C.
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.
O B. The Y-intercept 10 is the estimate of the mean value of Y if X₁ is 0.
OC. The Y-intercept 5 is the estimate of the mean value of Y if X₁ is 0.
O D. The Y-intercept 5 is the estimate of the mean value of Y if X₁ and X₂ are both 0.
Transcribed Image Text:For this problem, use the multiple regression equation below to complete parts (a) and (b). Y₁ = 10 + 5X₁₁ +3X₂i 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. 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. O D. If X₁ increases one unit, Y increases 3 units. If X₂ increases one unit, Y increases 5 units. O C. 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. O B. The Y-intercept 10 is the estimate of the mean value of Y if X₁ is 0. OC. The Y-intercept 5 is the estimate of the mean value of Y if X₁ is 0. O D. The Y-intercept 5 is the estimate of the mean value of Y if X₁ and X₂ are both 0.
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