You may need to use the appropriate technology to answer this question. 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 the following 9-75.686-6.254x Monthly Sales (y) Interest Rate (In Percent) (x) 22 20 93 7.7 10 45 10.5 5.4 (a) Obtain a measure of how well the estimated regression line fits the data, by giving the proportion of variability in monthly sales that can be explained by a linear relationship with the interest rate. (Round your answer to four decimal places.) (b) You want to test if there is a significant relationship between the interest rate and monthly sales at the 10% level of significance. State the null and alternative hypotheses. (Enter 1 for as needed.) Ho (c) At the 0.10 level, use a t-test to test the hypotheses. Find the value of the test statistic. (Round your answer to three decimal places.) webassign.net 4370 (c) At the 0.10 level, use a t-test to test the hypotheses Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value What is your conclusion? O Do not reject H- We conclude that the relationship between x and y is significant. O Reject H. We cannot conclude that the relationship between x and y is significant Reject Ho We conclude that the relationship between x and y is significant. Do not reject Ho We cannot conclude that the relationship between x and y is significant (d) Construct a 99% confidence interval for the average monthly sales for all months with a 10% interest rate. (Round your answers to three decimal places.) to (e) Construct a 99% prediction interval for the monthly sales of one month with a 10% interest rate. (Round your answers to three decimal places.) to