(A)Estimate the Regression Model

Essay

(A)Estimate the regression model.How well does this model fit the given data?
(B)Is there a linear relationship between X and Y at the 5% significance level? Explain how you arrived at your answer.
(C)Use the estimated regression model to predict the number of caps that will be sold during the next month if the average selling price is $10.
(D)Find a 95% prediction interval for the number of caps determined in Question 90.Use t- multiple = 2.
(E)Find a 95% confidence interval for the average number of caps sold given an average selling price of $10.Use a t-multiple = 2.
(F)How do you explain the differences between the widths of the intervals in (D)and (E)?