(A)Estimate a simple linear regression model using the sample data.How well does the estimated model fit the sample data?
(B)Perform an F-test for the existence of a linear relationship between Y and X.Use a 5% level of significance.
(C)Plot the fitted values versus residuals associated with the model in (A).What does the plot indicate?
(D)Diagnose what may be causing the problem seen in the residuals plot in (C).What issue(s)do you identify?
(E)Suggest an alternative model to address the issues identified in (D).Are you able to obtain an improved fit to the data? Explain your answer.

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The Answer of (A)Estimate a simple linear regression model using the sample data.How well does the estimated model fit the sample data?
(B)Perform an F-test for the existence of a linear relationship between Y and X.Use a 5% level of significance.
(C)Plot the fitted values versus residuals associated with the model in (A).What does the plot indicate?
(D)Diagnose what may be causing the problem seen in the residuals plot in (C).What issue(s)do you identify?
(E)Suggest an alternative model to address the issues identified in (D).Are you able to obtain an improved fit to the data? Explain your answer.

(A)Estimate a Simple Linear Regression Model Using the Sample Data