The estimated regression equation for a model involving two independent variables and 10 observations is as follows: \[ \hat{y} = 29.1370 + 0.5103x_1 + 0.4980x_2 \] (a) **Interpret \( b_1 \) in this estimated regression equation.** Choose the correct interpretation: - \( b_1 = 0.5103 \) is an estimate of the change in \( y \) corresponding to a 1 unit change in \( x_2 \) when \( x_1 \) is held constant. - \( b_1 = 29.1370 \) is an estimate of the change in \( y \) corresponding to a 1 unit change in \( x_1 \) when \( x_2 \) is held constant. - \( b_1 = 0.4980 \) is an estimate of the change in \( y \) corresponding to a 1 unit change in \( x_2 \) when \( x_1 \) is held constant. - \( b_1 = 0.4980 \) is an estimate of the change in \( y \) corresponding to a 1 unit change in \( x_1 \) when \( x_2 \) is held constant. - \( b_1 = 0.5103 \) is an estimate of the change in \( y \) corresponding to a 1 unit change in \( x_1 \) when \( x_2 \) is held constant. (b) **Interpret \( b_2 \) in this estimated regression equation.** Choose the correct interpretation: - \( b_2 = 0.4980 \) is an estimate of the change in \( y \) corresponding to a 1 unit change in \( x_2 \) when \( x_1 \) is held constant. - \( b_2 = 0.4980 \) is an estimate of the change in \( y \) corresponding to a 1 unit change in \( x_1 \) when \( x_2 \) is held constant. - \( b_2 = 0.5103 \) is an estimate of the change in \( y \) corresponding to a 1 unit change in \( x_2 \) when \( x_1 \) is held constant. - \( b_2 = 0.5103 \)
The estimated regression equation for a model involving two independent variables and 10 observations is as follows: \[ \hat{y} = 29.1370 + 0.5103x_1 + 0.4980x_2 \] (a) **Interpret \( b_1 \) in this estimated regression equation.** Choose the correct interpretation: - \( b_1 = 0.5103 \) is an estimate of the change in \( y \) corresponding to a 1 unit change in \( x_2 \) when \( x_1 \) is held constant. - \( b_1 = 29.1370 \) is an estimate of the change in \( y \) corresponding to a 1 unit change in \( x_1 \) when \( x_2 \) is held constant. - \( b_1 = 0.4980 \) is an estimate of the change in \( y \) corresponding to a 1 unit change in \( x_2 \) when \( x_1 \) is held constant. - \( b_1 = 0.4980 \) is an estimate of the change in \( y \) corresponding to a 1 unit change in \( x_1 \) when \( x_2 \) is held constant. - \( b_1 = 0.5103 \) is an estimate of the change in \( y \) corresponding to a 1 unit change in \( x_1 \) when \( x_2 \) is held constant. (b) **Interpret \( b_2 \) in this estimated regression equation.** Choose the correct interpretation: - \( b_2 = 0.4980 \) is an estimate of the change in \( y \) corresponding to a 1 unit change in \( x_2 \) when \( x_1 \) is held constant. - \( b_2 = 0.4980 \) is an estimate of the change in \( y \) corresponding to a 1 unit change in \( x_1 \) when \( x_2 \) is held constant. - \( b_2 = 0.5103 \) is an estimate of the change in \( y \) corresponding to a 1 unit change in \( x_2 \) when \( x_1 \) is held constant. - \( b_2 = 0.5103 \)
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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![The estimated regression equation for a model involving two independent variables and 10 observations is as follows:
\[ \hat{y} = 29.1370 + 0.5103x_1 + 0.4980x_2 \]
(a) **Interpret \( b_1 \) in this estimated regression equation.**
Choose the correct interpretation:
- \( b_1 = 0.5103 \) is an estimate of the change in \( y \) corresponding to a 1 unit change in \( x_2 \) when \( x_1 \) is held constant.
- \( b_1 = 29.1370 \) is an estimate of the change in \( y \) corresponding to a 1 unit change in \( x_1 \) when \( x_2 \) is held constant.
- \( b_1 = 0.4980 \) is an estimate of the change in \( y \) corresponding to a 1 unit change in \( x_2 \) when \( x_1 \) is held constant.
- \( b_1 = 0.4980 \) is an estimate of the change in \( y \) corresponding to a 1 unit change in \( x_1 \) when \( x_2 \) is held constant.
- \( b_1 = 0.5103 \) is an estimate of the change in \( y \) corresponding to a 1 unit change in \( x_1 \) when \( x_2 \) is held constant.
(b) **Interpret \( b_2 \) in this estimated regression equation.**
Choose the correct interpretation:
- \( b_2 = 0.4980 \) is an estimate of the change in \( y \) corresponding to a 1 unit change in \( x_2 \) when \( x_1 \) is held constant.
- \( b_2 = 0.4980 \) is an estimate of the change in \( y \) corresponding to a 1 unit change in \( x_1 \) when \( x_2 \) is held constant.
- \( b_2 = 0.5103 \) is an estimate of the change in \( y \) corresponding to a 1 unit change in \( x_2 \) when \( x_1 \) is held constant.
- \( b_2 = 0.5103 \)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe3199557-9ae5-4736-b6b1-84cac0662acc%2F6f72c79f-4bc0-4545-b886-b03d9f13b7c9%2Fk7igcq_processed.png&w=3840&q=75)
Transcribed Image Text:The estimated regression equation for a model involving two independent variables and 10 observations is as follows:
\[ \hat{y} = 29.1370 + 0.5103x_1 + 0.4980x_2 \]
(a) **Interpret \( b_1 \) in this estimated regression equation.**
Choose the correct interpretation:
- \( b_1 = 0.5103 \) is an estimate of the change in \( y \) corresponding to a 1 unit change in \( x_2 \) when \( x_1 \) is held constant.
- \( b_1 = 29.1370 \) is an estimate of the change in \( y \) corresponding to a 1 unit change in \( x_1 \) when \( x_2 \) is held constant.
- \( b_1 = 0.4980 \) is an estimate of the change in \( y \) corresponding to a 1 unit change in \( x_2 \) when \( x_1 \) is held constant.
- \( b_1 = 0.4980 \) is an estimate of the change in \( y \) corresponding to a 1 unit change in \( x_1 \) when \( x_2 \) is held constant.
- \( b_1 = 0.5103 \) is an estimate of the change in \( y \) corresponding to a 1 unit change in \( x_1 \) when \( x_2 \) is held constant.
(b) **Interpret \( b_2 \) in this estimated regression equation.**
Choose the correct interpretation:
- \( b_2 = 0.4980 \) is an estimate of the change in \( y \) corresponding to a 1 unit change in \( x_2 \) when \( x_1 \) is held constant.
- \( b_2 = 0.4980 \) is an estimate of the change in \( y \) corresponding to a 1 unit change in \( x_1 \) when \( x_2 \) is held constant.
- \( b_2 = 0.5103 \) is an estimate of the change in \( y \) corresponding to a 1 unit change in \( x_2 \) when \( x_1 \) is held constant.
- \( b_2 = 0.5103 \)
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