In a regression model involving 44 observations, the following estimated regression equation was obtained: ŷ= 10 - 4x12x2 + 8x3 + 8x4 For this model, SSR = 500 and SSE = 3500. Refer to Exhibit 15-33. The coefficient of determination for the above model is approximately -.875 .144 .125 .875
In a regression model involving 44 observations, the following estimated regression equation was obtained: ŷ= 10 - 4x12x2 + 8x3 + 8x4 For this model, SSR = 500 and SSE = 3500. Refer to Exhibit 15-33. The coefficient of determination for the above model is approximately -.875 .144 .125 .875
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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![**Exhibit 15-33**
In a regression model involving 44 observations, the following estimated regression equation was obtained:
\[
\hat{y} = 10 - 4x_1 - 2x_2 + 8x_3 + 8x_4
\]
For this model, SSR (Sum of Squares for Regression) = 500 and SSE (Sum of Squares for Error) = 3500.
Refer to Exhibit 15-33. The coefficient of determination for the above model is approximately ______.
- ○ –.875
- ○ .144
- ● .125
- ○ .875
*Note:* The coefficient of determination (R²) is calculated using the formula:
\[
R^2 = \frac{SSR}{SSR + SSE}
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4c6c3461-7492-496f-98bc-6ef78f2648e2%2Fd53c7d66-5e7e-4aab-a648-5a1da2c16a26%2Fcvtawst_processed.png&w=3840&q=75)
Transcribed Image Text:**Exhibit 15-33**
In a regression model involving 44 observations, the following estimated regression equation was obtained:
\[
\hat{y} = 10 - 4x_1 - 2x_2 + 8x_3 + 8x_4
\]
For this model, SSR (Sum of Squares for Regression) = 500 and SSE (Sum of Squares for Error) = 3500.
Refer to Exhibit 15-33. The coefficient of determination for the above model is approximately ______.
- ○ –.875
- ○ .144
- ● .125
- ○ .875
*Note:* The coefficient of determination (R²) is calculated using the formula:
\[
R^2 = \frac{SSR}{SSR + SSE}
\]
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