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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 2 3 4 5 6 Private 12,693 13, 197 17,734 20,537 24,212 28,806 Public 2,042 2,350 3, 1 15 3,638 4,630 5,612 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? by = (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. OA. Ho: B1 >0 OB. Ho: B1 = 0 O C. Ho: B, So HA: B1 SO HA: B1 # 0 HA: B1 20 OD. Ho: B1 20 OE. Ho: B1 # 0 OF. HO: B1 OB. p 06- t