please do all parts! The estimated regression equation for this data set is y=4.4878+1.9549x.Part A: (in image)Part B: is the linear function is the appropriate regression function for this data set?Part C: do the residuals have a constant variance?Part D: are the residuals independent?Part E: are the error terms are normally distributed?y x22 821 818 846 2241 2254 2276 3258 3268 32 Below is a transcription of the dataset, which is useful for educational purposes, especially in statistics and data analysis:| x | y | Residual ||----|----|----------|| 8 | 22 | [ ] || 8 | 21 | [ ] || 8 | 18 | [ ] || 22 | 46 | [ ] || 22 | 41 | [ ] || 22 | 54 | [ ] || 32 | 76 | [ ] || 32 | 58 | [ ] || 32 | 68 | [ ] |### Explanation:- **Columns:** - **x**: Represents the independent variable. - **y**: Represents the dependent variable. - **Residual**: This column is left blank and is meant for calculating the residuals, which are the differences between the observed and predicted values of y in a regression analysis.### Educational Context:Residuals are essential in regression analysis for understanding the accuracy of the model's predictions. They help determine how well a statistical model, such as a linear regression, fits the data. A residual is calculated by subtracting the predicted value from the observed value (Residual = Observed y - Predicted y). Analyzing the pattern of residuals can indicate whether the model assumptions are valid and highlight any potential areas for model improvement.

A:The residual plot is obtained as:The residuals are obtained using the following…

The estimated regression equation for this data set is y=4.4878+1.9549x. Part A: (in image) Part B: is the linear function is the appropriate regression function for this data set? Part C: do the residuals have a constant variance? Part D: are the residuals independent? Part E: are the error terms are normally distributed?

The estimated regression equation for this data set is y=4.4878+1.9549x. Part A: (in image) Part B: is the linear function is the appropriate regression function for this data set? Part C: do the residuals have a constant variance? Part D: are the residuals independent? Part E: are the error terms are normally distributed?

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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