The average daily cost of living in dollars [1:] and the average wage in dollars (y) in 12 regions of a country are shown in the following table. x 77 84 88 77 89 105 69 85 78 91 78 110 y 134 149 136 157 164 194 137 159 156 167 158 172 Assume that the averages are jointly normally distributed. Use the z-values rounded to two decimal places to obtain the answers. (a) Find a regression line relating the wage to the cost of living. Round your answer to one decimal place (e.g. 98.7}. g : 65.8192 Round your answer to two decimal places (e.g. 98.76). A )31 : 1.0603 (b) Test for the signicance of regression using a x 0.0]. hypothesis thatl = 0. (c) Estimate the correlation coefficient. Round your answer to three decimal places (e.g. 98.765). r= 0.742 (d) Test the hypothesis that p = 0, using a = 0.1. Reject v hypothesis that p = 0. (e) Test the hypothesis that p = 0.5, using a = 0.01. Fail to reject w|hypothesis that p = 0.5. (f) Construct a 99% confidence interval for the correlation coefficient. Round your answers to three decimal places (e.g. 98.765). HI 0.293 i 0.923