Given the following ANOVA table: Mean Degrees Source of of Variance Freedom Sum of Sum of F-stat Squares Squares Regression 5.4 Residual 48 2.507 Total What is the value of MSR? Please report your answer in 3 decimal places.
Given the following ANOVA table: Mean Degrees Source of of Variance Freedom Sum of Sum of F-stat Squares Squares Regression 5.4 Residual 48 2.507 Total What is the value of MSR? Please report your answer in 3 decimal places.
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![### ANOVA Table
Given the following ANOVA table:
| Source of Variance | Degrees of Freedom | Sum of Squares | Mean Sum of Squares | F-stat |
|--------------------|--------------------|----------------|---------------------|--------|
| Regression | | | | 5.4 |
| Residual | 48 | 2.507 | | |
| Total | | | | |
**Question:**
What is the value of MSR? Please report your answer in 3 decimal places.
This table is used to perform an Analysis of Variance (ANOVA), which helps to find the significance of one or more categorical independent variables on a continuous dependent variable. The table shows the breakdown of variance into different components: Regression and Residual (also known as Error).
- **Degrees of Freedom (DF):** This indicates the number of independent values or quantities that can vary in the analysis.
- **Sum of Squares (SS):** This is a measure of variance; it quantifies how much the data points differ from the mean.
- **Mean Sum of Squares (MS):** This is obtained by dividing the Sum of Squares by the corresponding Degrees of Freedom.
- **F-statistic (F-stat):** This is used to determine if the variance between the means of the groups is significantly different.
To calculate **MSR (Mean Sum of Squares for Regression)**, you need:
- Degrees of Freedom for Regression (DFR)
- Sum of Squares for Regression (SSR)
MSR is calculated as:
\[ \text{MSR} = \frac{\text{SSR}}{\text{DFR}} \]
However, since neither the DFR nor the SSR are given, some of this necessary information would need to be inferred or provided to solve entirely.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffd1a9013-0758-4534-9910-0212271c840e%2Fa8e5d65f-5e93-419b-93f8-3946fea5b275%2Fmnih97o_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### ANOVA Table
Given the following ANOVA table:
| Source of Variance | Degrees of Freedom | Sum of Squares | Mean Sum of Squares | F-stat |
|--------------------|--------------------|----------------|---------------------|--------|
| Regression | | | | 5.4 |
| Residual | 48 | 2.507 | | |
| Total | | | | |
**Question:**
What is the value of MSR? Please report your answer in 3 decimal places.
This table is used to perform an Analysis of Variance (ANOVA), which helps to find the significance of one or more categorical independent variables on a continuous dependent variable. The table shows the breakdown of variance into different components: Regression and Residual (also known as Error).
- **Degrees of Freedom (DF):** This indicates the number of independent values or quantities that can vary in the analysis.
- **Sum of Squares (SS):** This is a measure of variance; it quantifies how much the data points differ from the mean.
- **Mean Sum of Squares (MS):** This is obtained by dividing the Sum of Squares by the corresponding Degrees of Freedom.
- **F-statistic (F-stat):** This is used to determine if the variance between the means of the groups is significantly different.
To calculate **MSR (Mean Sum of Squares for Regression)**, you need:
- Degrees of Freedom for Regression (DFR)
- Sum of Squares for Regression (SSR)
MSR is calculated as:
\[ \text{MSR} = \frac{\text{SSR}}{\text{DFR}} \]
However, since neither the DFR nor the SSR are given, some of this necessary information would need to be inferred or provided to solve entirely.
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