Consider the following ANOVA table for a multiple regression model. Source df SS MS F Regression 3 375 125 5 Residual 20 500 5 Total 23 875 a) what is the size of this sample? b) how many independent variables are in this model? c) calculate the multiple coefficient of determination. d) test the significance of the overall regression model using a= 0.05. e) calculate the adjusted multiple coefficient of determination.
Consider the following ANOVA table for a multiple regression model. Source df SS MS F Regression 3 375 125 5 Residual 20 500 5 Total 23 875 a) what is the size of this sample? b) how many independent variables are in this model? c) calculate the multiple coefficient of determination. d) test the significance of the overall regression model using a= 0.05. e) calculate the adjusted multiple coefficient of determination.
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Consider the following ANOVA table for a multiple regression model.
Source | df | SS | MS | F |
Regression | 3 | 375 | 125 | 5 |
Residual | 20 | 500 | 5 | |
Total | 23 | 875 |
a) what is the size of this sample?
b) how many independent variables are in this model?
c) calculate the multiple coefficient of determination.
d) test the significance of the overall regression model using a= 0.05.
e) calculate the adjusted multiple coefficient of determination.
I have a lot of these questions. Can i have some help through the steps? please!

Transcribed Image Text:**ANOVA Table for a Multiple Regression Model**
The following table presents an ANOVA (Analysis of Variance) for a multiple regression model. The table includes columns for Source, degrees of freedom (df), Sum of Squares (SS), Mean Square (MS), and the F-statistic (F).
| Source | df | SS | MS | F |
|-------------|-----|-----|-----|---|
| Regression | 3 | 375 | 125 | 5 |
| Residual | 20 | 500 | 25 | |
| Total | 23 | 875 | | |
---
**Question:**
a. What is the size of this sample?
\( n = \square \)
To find the sample size, note that the total degrees of freedom \( df_{\text{Total}} \) is 23. The sample size \( n \) can be calculated as \( n = df_{\text{Total}} + 1 = 23 + 1 = 24 \).
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