Recall the original model = 25.2 + 5.5x, and the new model = 16.3 +2.3x₁ + 12.1x₂ - 5.8x3. The p-value associated with this test is the upper tail area of the F distribution with the degrees of freedom for the numerator equal to the number of independent variables that were added to obtain the full model. There were two additional variables in the full model, so there are 3 X degrees of freedom for the numerator. The degrees of freedom for the denominator will be n-p1 where n = 27 total observations, and p is the number of independent variables in the model. Thus, the degrees of freedom for the denominator is n-p-1 = 21 x.
Recall the original model = 25.2 + 5.5x, and the new model = 16.3 +2.3x₁ + 12.1x₂ - 5.8x3. The p-value associated with this test is the upper tail area of the F distribution with the degrees of freedom for the numerator equal to the number of independent variables that were added to obtain the full model. There were two additional variables in the full model, so there are 3 X degrees of freedom for the numerator. The degrees of freedom for the denominator will be n-p1 where n = 27 total observations, and p is the number of independent variables in the model. Thus, the degrees of freedom for the denominator is n-p-1 = 21 x.
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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![Recall the original model \( \hat{y} = 25.2 + 5.5x_1 \) and the new model \( \hat{y} = 16.3 + 2.3x_1 + 12.1x_2 - 5.8x_3 \).
The p-value associated with this test is the upper tail area of the F distribution with the degrees of freedom for the numerator equal to the number of independent variables that were added to obtain the full model. There were two additional variables in the full model, so there are \( \textcolor{red}{3 \, \text{✘}} \) degrees of freedom for the numerator.
The degrees of freedom for the denominator will be \( n - p - 1 \) where \( n = 27 \) total observations, and \( p \) is the number of independent variables in the model. Thus, the degrees of freedom for the denominator is
\[ n - p - 1 = \textcolor{red}{21 \, \text{✘}} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff7b76bbb-1122-4c75-9c9e-2038b7c47d4e%2F5a978fbf-e87a-483e-bdd4-fee164b1f94e%2Fsyogqeg_processed.png&w=3840&q=75)
Transcribed Image Text:Recall the original model \( \hat{y} = 25.2 + 5.5x_1 \) and the new model \( \hat{y} = 16.3 + 2.3x_1 + 12.1x_2 - 5.8x_3 \).
The p-value associated with this test is the upper tail area of the F distribution with the degrees of freedom for the numerator equal to the number of independent variables that were added to obtain the full model. There were two additional variables in the full model, so there are \( \textcolor{red}{3 \, \text{✘}} \) degrees of freedom for the numerator.
The degrees of freedom for the denominator will be \( n - p - 1 \) where \( n = 27 \) total observations, and \( p \) is the number of independent variables in the model. Thus, the degrees of freedom for the denominator is
\[ n - p - 1 = \textcolor{red}{21 \, \text{✘}} \]
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