The data shown in the following table are highway gasoline mileage performance and engine displacement for a sample of 20 cars.

(a) Fit a simple linear model relating highway miles per gallon (y) to engine displacement (x) using least squares.
(b) Find an estimate of the mean highway gasoline mileage performance for a car with 150 cubic inches engine displacement.
(c) Obtain the fitted value of y and the corresponding residual for a car, the Ford Escort, with engine displacement of 114 cubic inches.

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Engine Displacement (in') Engine Displacement (in') MPG MPG Model Make Make (highway) Model (highway) 27 Ford Ford Honda Taurus Tempo 97 Legend 30 19 29 153 Acura 735i Regal Cavalier 209 173 33 BMW 90 Buick Chevrolet Chevrolet 30 Accord RX-7 260E Tracer 119 80 32 23 Mazda Mercedes 121 30 24 29 159 Celebrity 151 156 97 24 30 Chrysler Dodge Dodge Ford Mercury Conquest Nissan Aries 135 26 29 Maxima 181 28 Dynasty 181 Oldsmobile Plymouth Pontiac Cutlass Laser Grand Prix 173 122 31 25 37 Escort 114 302 29 Ford Mustang 173