**ANOVA Analysis****Question:**Based on the ANOVA table given, is there enough evidence at the 0.01 level of significance to conclude that the linear relationship between the independent variables and the dependent variable is statistically significant?**ANOVA Table:**| Source | df | SS | MS | F | Significance F ||------------|----|-------------|------------|----------|----------------|| Regression | 2 | 975.230086 | 487.615043 | 6.928784 | 0.009990 || Residual | 12 | 844.503247 | 70.375271 | | || Total | 14 | 1819.733333 | | | |**Explanation:**- **Source**: This refers to the components of the model – 'Regression' for the explained variance and 'Residual' for the unexplained variance. 'Total' combines both.- **df (Degrees of Freedom)**: Represents the number of values in the final calculation of a statistic that are free to vary.- **SS (Sum of Squares)**: Measures the variability. Here, 975.230086 is for regression, 844.503247 is residual, and 1819.733333 is the total.- **MS (Mean Square)**: SS divided by their respective df. It is 487.615043 for regression and 70.375271 for residual.- **F**: The F-statistic is used to determine if the variances between the populations’ means are significantly different.- **Significance F**: The probability that the observed F-statistic would occur if the null hypothesis were true. A value of 0.009990 indicates significance at the 0.01 level.**Answer:**O Yes O No The F-statistic with a Significance F value of 0.009990 is below the 0.01 significance level, suggesting strong evidence against the null hypothesis. Therefore, choose "Yes" to indicate that there is enough evidence to conclude a statistically significant relationship at the 0.01 level.

The significance value is 0.009990.

Answered: Based on the ANOVA table given, is…

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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