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2.10. The following are the results of a regression of fuel efficiency (gallons per 100 miles traveled) on the weight (in pounds) of the car.

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2.10. The following are the results of a regression of fuel efficiency (gallons per 100 miles traveled) on the weight (in pounds) of the car. A total of 45 cars were considered. The regression equation is Gall/100 miles = 0.560 + 0.00102 Weight Predictor Coef SE Coef P Constant 0.5598 0.1983 2.82 0.007 Weight 0.00102418 0.00007103 14.42 0.000 R2 = 82.9% R2(adj) = 82.5% Analysis of Variance Source DF SS MS F P Regression 1 13.709 13.709 207.91 0.000 Error 43 2.835 0.066 Total 44 16.544a. Determine an approximate 95% prediction interval for the fuel efficiency of an automobile weighing 2000 pounds. The computer output does not give you the information to construct exact prediction intervals. Approximate the prediction intervals, assuming that the sample size n is large enough to allow you to ignore the parameter estimation uncertainty. b. Determine an approximate 95% prediction interval for the fuel efficiency of an automobile weighing 1500 pounds

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