**Question 5: ANOVA Summary Table**Consider the partially completed ANOVA summary table below.| Source | df | SS | MS ||-------------|----|-----|------|| Regression | 1 | 700 | || Residual | — | — | — || Total | 8 | 1100| |a. Complete the remaining entries in the table. b. Calculate the sample coefficient of determination. c. Using α = 0.05, is there a significant relationship between two variables?**Table Explanation:**- **df (Degrees of Freedom):** A measure used in statistics that describes the number of independent values or quantities which can be assigned to a statistical distribution. - **SS (Sum of Squares):** A measure that quantifies the total variation in a data set.- **MS (Mean Square):** This is calculated by dividing the SS by its respective df. It is used to evaluate the variability of a set of data.**Tasks:**- **Part a:** Fill in the missing degrees of freedom for the Residual source and calculate the MS for Regression and Residual.- **Part b:** The sample coefficient of determination (R²) can be calculated using the formula: \[ R^2 = \frac{SS_{Regression}}{SS_{Total}} \]- **Part c:** Determine if the relationship is significant using a significance level of α = 0.05. This can involve calculating the F-statistic and comparing it against a critical value from the F-distribution table.

There is one independent variable and one dependent variable in the data. The partial ANOVA table is…

Answered: 5. Consider the partially completed…

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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5. Consider the partially completed ANOVA summary table below. Source df MS Regression 1 700 Residual Total 8 1100 а. Complete the remaining entries in the table. b. Calculate the sample coefficient of determination. C. Using a=0.05, is there a significant relationship between two variables?