5. An automobile dealer wants to see if there is a relationship between monthly sales and the interest rate. A random sample of 4 months was taken. The results of the sample are presented below. The estimated least squares regression equation is Y = 75.061 - 6.254X Y X Monthly Sales Interest Rate (In Percent) 22 9.2 20 7.6 10 10.4 45 5.3 a. Obtain a measure of how well the estimated regression line fits the data. b. You want to test to see if there is a significant relationship between the interest rate and monthly sales at the 1% level of significance. State the null and alternative hypotheses. c. At 99% confidence, test the hypotheses. d. Construct a 99% confidence interval for the average monthly sales for all months with a 10% interest rate. e. Construct a 99% confidence interval for the monthly sales of one month with a 10% interest rate