Given the following ANOVA table, calculate the F-ratio and the F critical values. ANOVA for Regression Source DF MS Group 5.450 3 Error 19.006 10 Total 24.456 13 F- ratio - 2.41; F critical = 3.71 %3D F- ratio = 14.65; F critical - 4.76 %3D O F- ratio - 0.96; F critical 3.71 F- ratio - 19.87; F critical = 4.76
Given the following ANOVA table, calculate the F-ratio and the F critical values. ANOVA for Regression Source DF MS Group 5.450 3 Error 19.006 10 Total 24.456 13 F- ratio - 2.41; F critical = 3.71 %3D F- ratio = 14.65; F critical - 4.76 %3D O F- ratio - 0.96; F critical 3.71 F- ratio - 19.87; F critical = 4.76
MATLAB: An Introduction with Applications
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
Transcribed Image Text:**ANOVA Table Analysis Exercise**
**Instructions:**
Given the following ANOVA table, calculate the F-ratio and the F critical values.
**ANOVA for Regression**
| Source | SS | DF | MS | F |
|--------|-------|----|-----|-----|
| Group | 5.450 | 3 | | |
| Error | 19.006| 10 | | |
| Total | 24.456| 13 | | |
**Options:**
- (Selected) F-ratio = 2.41; F critical = 3.71
- F-ratio = 14.65; F critical = 4.76
- F-ratio = 0.96; F critical = 3.71
- F-ratio = 19.87; F critical = 4.76
**Explanation:**
In this exercise, you are provided with an ANOVA table that lists the sum of squares (SS), degrees of freedom (DF), mean square (MS), and F values for both the group and error sources, as well as the total. You will use these to calculate the F-ratio and compare it to the critical F values given.
- **SS (Sum of Squares):** Represents the variation attributed to each source.
- **DF (Degrees of Freedom):** Indicates the number of independent values that can vary.
- **MS (Mean Square):** Calculated by dividing SS by DF (MS = SS/DF).
- **F (F-ratio):** Calculated by dividing the MS of the group by the MS of the error.
The task is to determine which of the provided options correctly represents the F-ratio and its corresponding critical value.
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