The cases that make up this dataset are types of cars. the data include the engine size or displacement (in liters) and horsepower (hp) of67 vehicles sold in a certain country in 2011. use the srm of the horsepower on the engine displacement to complete parts (a) through (c).displacement (liters) horsepower4.3 4305.5 5273.1 3264.1 3531.9 1982.1 2703.1 2373.2 2964.3 3882.2 3153.9 4151.7 1251.6 1814.5 5672.5 1772.4 1672.5 2241.9 1462.6 2983.4 2517.1 3011.9 2313.6 3143.8 3085.3 4015.3 5343.4 2562.9 2666.5 4292.4 1861.4 841.8 1391.5 881.5 1163.6 2973.6 2823.7 3002.5 2013.4 2803.9 2981.5 1362.1 1341.8 1454.8 4271.9 2143.8 2993.9 3292.1 2672.1 2162.8 2991.5 982.1 1442.5 1662.5 1732.3 2641.9 1671.3 952.8 1604.1 2352.4 1781.6 1046.3 4882.6 1691.9 2022.1 1361.9 1143.7 279(a) a manufacturer offers 2.9 and 3.6 liter engines in a particular model car. based on these data, how much more horsepower should one expect the larger engine toproduce? give your answer as a 95% confidence interval.(b) do you have any qualms about presenting this interval as an appropriate 95% range? a. yes, because the value of r^2 is too low. b. noc. yes, because the p-value for the two-sided hypothesis β1 = 0 is too high. d. yes, because there are several outliers in the data and they will have to be removed.(c) based on the fit of this regression model, what is the expected horsepower of a car with a 3.1 liter engine? give your answer as a 95% prediction interval. do you think that the standard prediction interval is reasonable? explain.