Fuel economy, part III. Consider again the data in Exercise 17 about the gas mileage and weights...1 answer below »

Fuel economy, part III. Consider again the data in Exercise 17 about the gas mileage and weights of cars.

a) Create a 95% confidence interval for the average fuel efficiency among cars weighing 2500 pounds, and explain what your interval means.

b) Create a 95% prediction interval for the gas mileage you might get driving your new 3450-pound SUV, and explain what that interval means.

Exercise 17

Fuel economy. A consumer organization has reported test data for 50 car models. We will examine the association between the weight of the car (in thousands of pounds) and the fuel efficiency (in miles per gallon). Here are the scatterplot, summary statistics, and regression analysis:

a) Is there strong evidence of an association between the weight of a car and its gas mileage? Write an appropriate hypothesis.

b) Are the assumptions for regression satisfied?

c) Test your hypothesis and state your conclusion.

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