The data shown below indicate the average tuition (in dollars) over a six-year period for private and public colleges in a region. Complete parts a through c below. Use a = 0.01 where needed. Year Private Public 1 7,846 2,009 2 9,514 2,354 3 10,699 3,169 4 10,872 3,639 5 14,469 4,638 6 15,081 5,662 a Conduct a simple linear regression analysis of these data in which the average tuition for private colleges is predicted by the average public college tuition. Test the significance of the model using a =0.01. What is the estimated regression slope coefficient? b- (Round to two decimal places as needed.) What is the estimated regression intercept? bo - (Round to the nearest whole number as needed.) (. To test the significance, first determine the hypotheses to test. Choose the correct answer below. O A. Ho: B, > 0 HAB, 50 OD. Ho: B, = 0 HAB, #0 OB. Ho: B, 0 HAB, = 0 O E. Ho: B, so HAB, > 0 C, H, B, OC. t> Calculate the simple linear regression test statistic t. (Round to two decimal places as needed.) significant. This means that knowing the average public college tuition Since the test statistic in the rejection region, the null hypothesis. Conclude that the regression model useful help in predicting the average private college tuition. b. How much does the average private college tuition increase when the average public college tuition increases by $100? The average private college tuition increases by $when the average public college tuition increases by $100. (Round to the nearest dollar as needed.) c. When the average public college tuition reaches $7,000, how much would you expect the average private college tuition to be? The average private college tuition would be $when the average public college tuition reaches $7,000. (Round to the nearest dollar as needed.)