The estimated regression equation for a model involving two independent variables and 10 observations follows. ý = 22.1370 + 0.5303Xq + 0.4920Xz (a) Interpret b, in this estimated regression equation. O b₁ = 0.5303 is an estimate of the change in y corresponding to a 1 unit change in x₂ when x₁ is held constant. Ob₁ = = 0.5303 is an estimate of the change in y corresponding to a 1 unit change in x₁ when x₂ is held constant. O b₁ = 22.1370 is an estimate of the change in y corresponding to a 1 unit change in x₁ when x₂ is held constant. Ob ₁ = 0.4920 is an estimate of the change in y corresponding to a 1 unit change in x₂ when x₁ is held constant. O b₁ = = 0.4920 is an estimate of the change in y corresponding to a 1 unit change in x₁ when x₂ is held constant. Interpret b₂ in this estimated regression equation. O b₂ = 0.4920 is an estimate of the change in y corresponding to a 1 unit change in x₂ when x₂ is held constant. O b₂ = 22.1370 is an estimate of the change in y corresponding to a 1 unit change in x₁ when x₂ is held constant. 05203 is an chang ant
The estimated regression equation for a model involving two independent variables and 10 observations follows. ý = 22.1370 + 0.5303Xq + 0.4920Xz (a) Interpret b, in this estimated regression equation. O b₁ = 0.5303 is an estimate of the change in y corresponding to a 1 unit change in x₂ when x₁ is held constant. Ob₁ = = 0.5303 is an estimate of the change in y corresponding to a 1 unit change in x₁ when x₂ is held constant. O b₁ = 22.1370 is an estimate of the change in y corresponding to a 1 unit change in x₁ when x₂ is held constant. Ob ₁ = 0.4920 is an estimate of the change in y corresponding to a 1 unit change in x₂ when x₁ is held constant. O b₁ = = 0.4920 is an estimate of the change in y corresponding to a 1 unit change in x₁ when x₂ is held constant. Interpret b₂ in this estimated regression equation. O b₂ = 0.4920 is an estimate of the change in y corresponding to a 1 unit change in x₂ when x₂ is held constant. O b₂ = 22.1370 is an estimate of the change in y corresponding to a 1 unit change in x₁ when x₂ is held constant. 05203 is an chang ant
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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![## Understanding the Estimated Regression Equation
The estimated regression equation for a model involving two independent variables and 10 observations is given by:
\[
\hat{y} = 22.1370 + 0.5303x_1 + 0.4920x_2
\]
### (a) Interpretation of Coefficients
**Interpret \( b_1 \) in this estimated regression equation:**
- \( b_1 = 0.5303 \) is an estimate of the change in \( y \) corresponding to a 1 unit change in \( x_1 \) when \( x_2 \) is held constant.
- \( b_1 = 0.5303 \) is an estimate of the change in \( y \) corresponding to a 1 unit change in \( x_2 \) when \( x_1 \) is held constant.
- \( b_1 = 22.1370 \) is an estimate of the change in \( y \) corresponding to a 1 unit change in \( x_2 \) when \( x_2 \) is held constant.
- \( b_1 = 0.4920 \) is an estimate of the change in \( y \) corresponding to a 1 unit change in \( x_2 \) when \( x_1 \) is held constant.
- \( b_1 = 0.4920 \) is an estimate of the change in \( y \) corresponding to a 1 unit change in \( x_1 \) when \( x_2 \) is held constant.
**Interpret \( b_2 \) in this estimated regression equation:**
- \( b_2 = 0.4920 \) is an estimate of the change in \( y \) corresponding to a 1 unit change in \( x_2 \) when \( x_1 \) is held constant.
- \( b_2 = 22.1370 \) is an estimate of the change in \( y \) corresponding to a 1 unit change in \( x_2 \) when \( x_2 \) is held constant.
- \( b_2 = 0.5303 \) 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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff7b76bbb-1122-4c75-9c9e-2038b7c47d4e%2Ff7a40ef6-1e6f-447f-8a4a-3c61536c0d98%2Frzfckhm_processed.png&w=3840&q=75)
Transcribed Image Text:## Understanding the Estimated Regression Equation
The estimated regression equation for a model involving two independent variables and 10 observations is given by:
\[
\hat{y} = 22.1370 + 0.5303x_1 + 0.4920x_2
\]
### (a) Interpretation of Coefficients
**Interpret \( b_1 \) in this estimated regression equation:**
- \( b_1 = 0.5303 \) is an estimate of the change in \( y \) corresponding to a 1 unit change in \( x_1 \) when \( x_2 \) is held constant.
- \( b_1 = 0.5303 \) is an estimate of the change in \( y \) corresponding to a 1 unit change in \( x_2 \) when \( x_1 \) is held constant.
- \( b_1 = 22.1370 \) is an estimate of the change in \( y \) corresponding to a 1 unit change in \( x_2 \) when \( x_2 \) is held constant.
- \( b_1 = 0.4920 \) is an estimate of the change in \( y \) corresponding to a 1 unit change in \( x_2 \) when \( x_1 \) is held constant.
- \( b_1 = 0.4920 \) is an estimate of the change in \( y \) corresponding to a 1 unit change in \( x_1 \) when \( x_2 \) is held constant.
**Interpret \( b_2 \) in this estimated regression equation:**
- \( b_2 = 0.4920 \) is an estimate of the change in \( y \) corresponding to a 1 unit change in \( x_2 \) when \( x_1 \) is held constant.
- \( b_2 = 22.1370 \) is an estimate of the change in \( y \) corresponding to a 1 unit change in \( x_2 \) when \( x_2 \) is held constant.
- \( b_2 = 0.5303 \) 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
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