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12. (20 points) A consumer advocacy group recorded several variables on 140 models of cars. The resulting information was used to produce the following regression output that relates the city gas mileage (in mpg) and the engine displacement (in cubic inches). The regression equation is mpgicity - 33.4 - 0.0624 displacement Predictor Coef SE Coel Constant 33.4 0.7762 42.00 0.000 displacement -0.0624 0.003810 0.000 - 3.13923 R-Sq - 66.0\\ R-Sqladj) - 65.8% a. (5 points) We have a car that has an engine with 150 cubic inches. Based on this output, what city gas mileage would you predict for this car? b. (5 points) Based on this output what is the correlation between city gas mileage and displacement? c. (5 points) The test statistics for testing the slope is zero is missing. Calculate this value: The group also recorded the power of the engine (in horsepower) for each car. The following regression output was produced. The regression equation is spotcity - 32.2 - 0.0572 horsepower Predictor Coet SE Cool P Constant 32.2 1. 060 32.19 0.000 horsepower -0.0572 0.005022 -11. 39 0.000 S - 3.86688 R-Sq - 48.4% R-Sqladj) - 48.15 d. (5 points) Which of the variables (horsepower or displacement) would be the better predictor of city gas mileage? Explain