### Analysis of Variance (ANOVA) Results**Question:**For the given ANOVA table, determine the number of groups and interpret the results.**ANOVA Table:**| | Sum of Squares | df | Mean Square | F | Sig. ||-------------------|----------------|----|-------------|-------|-------|| **Between Groups**| 58.671 | 2 | 29.336 | 4.106 | 0.038 || **Within Groups** | 107.160 | 15 | 7.144 | | || **Total** | 165.831 | 17 | | | |**Explanation:**- **Sum of Squares:** This value represents the total variability present in the data. - Between Groups: 58.671 - Within Groups: 107.160 - Total: 165.831- **Degrees of Freedom (df):** This indicates the number of independent values that can vary in an analysis without breaking any constraints. - Between Groups: 2 (indicating there are three groups, since df = number of groups - 1) - Within Groups: 15 - Total: 17- **Mean Square:** This is the Sum of Squares divided by the respective df. - Between Groups: 29.336 - Within Groups: 7.144- **F-value:** The ratio of the Mean Square Between Groups to the Mean Square Within Groups. Here, it is 4.106.- **Significance (Sig.):** The p-value indicates the probability of observing the results assuming the null hypothesis is true. A value of 0.038 suggests statistical significance, typically if below 0.05.**Interpretation:**With an F-value of 4.106 and a significance level of 0.038, we conclude that there is a statistically significant difference between the means of the groups being compared. Since the p-value is less than 0.05, we reject the null hypothesis that states there is no effect, implying that the group means are indeed different.

From the information, the degrees of freedom for between groups is 2. The number of groups is 3,…

For the following ANOVA, tell me how many groups there are and interpret the results. Sum of Squares Mean Square df F Sig. Between Groups 58.671 29.336 4.106 .038 Within Groups 107.160 15 7.144 Total 165.831 17

For the following ANOVA, tell me how many groups there are and interpret the results. Sum of Squares Mean Square df F Sig. Between Groups 58.671 29.336 4.106 .038 Within Groups 107.160 15 7.144 Total 165.831 17

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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