The management of a chain electronic store would like to develop a model for predicting the weekly sales (in thousands of dollars) for individual stores based on the number of customers who made purchases. A random sample of 12 stores yields the following results:Customers Sales (Thousands of Dollars)907 11.20926 11.05713 8.21741 9.21780 9.42898 10.08510 6.73529 7.02460 6.12872 9.52650 7.53603 7.25a) Estimate a linear regression. What are the values of the estimated intercept and slope? Show how you obtain your answer. b) What is the value of the coefficient of determination?c) What is the value of the coefficient of correlation?d) What is the value of the standard error of the estimate?e) Which of the following is the correct null hypothesis for testing whether the number of customers who make purchases affects weekly sales?A) H0 : ?0 = 0B) H0 : ?1 = 0C) H0 : ? = 0D) H0 : ? = 0f) What is the value of the t test statistic when testing whether the number of customers who make purchases affects weekly sales?g) What are the degrees of freedom of the t test statistic when testing whether the number of customers who make purchases affects weekly sales?h) Construct a 95% confidence interval for the change in average weekly sales when the number of customers who make purchases increases by one. Show how you obtain your answer. i) Construct a 95% confidence interval for the average weekly sales when the number of customers who make purchases is 600. Show how you obtain your answer. j) Construct a 95% prediction interval for the weekly sales of a store that has 600 purchasing customers. Show how you obtain your answer.