Fit a simple linear model relating highway miles per gallon (y)to engine displac

Question

Fit a simple linear model relating highway miles per gallon (y)to engine displacement (x) in cubic inches using least squaresestimates of the intercept (a) andslope(b).

Find an estimate of the mean highway gasoline mileageperformance for a car with 137 cubic inches engine displacement(c).

(a) =???

(b) =???

(c) =???

Carline Engine Displacement MPG (highway) 300C/SRT-8 215 30.8 CARAVAN 2WD 201 32.5 CROSSFIRE ROADSTER 196 35.4 DAKOTA PICKUP 2WD 226 28.1 DAKOTA PICKUP 4WD 226 24.4 DURANGO 2WD 348 24.1 GRAND CHEROKEE 2WD 226 28.5 GRAND CHEROKEE 4WD 348 24.2 LIBERTY/CHEROKEE 2WD 148 32.8 LIBERTY/CHEROKEE 4WD 226 28 NEON/SRT-4/SX 2.0 122 41.3 PACIFICA 2WD 215 30 PACIFICA AWD 215 28.2 PT CRUISER 148 34.1 RAM 1500 PICKUP 2WD 500 18.7 RAM 1500 PICKUP 4WD 348 20.3 SEBRING 4-DR 165 35.1 STRATUS 4-DR 148 37.9 TOWN & COUNTRY 2WD 148 33.8 VIPER CONVERTIBLE 500 25.9 WRANGLER/TJ 4WD 148 26.4

Explanation / Answer

x.P5> x engine y mpg xy X^2 300 c/srt-8 215 30.8 6622 46225 CARAVAN 2WD 201 32.5 6532.5 40401 CROSSFIRE ROADSTER 196 35.4 6938.4 38416 DAKOTA PICKUP 2WD 226 28.1 6350.6 51076 DAKOTA PICKUP 4WD 226 24.4 5514.4 51076 DURANGO 2WD 348 24.1 8386.8 121104 GRAND CHEROKEE 2WD 226 28.5 6441 51076 GRAND CHEROKEE 4WD 348 24.2 8421.6 121104 LIBERTY/CHEROKEE 2WD 148 32.8 4854.4 21904 LIBERTY/CHEROKEE 4WD 226 28 6328 51076 NEON/SRT-4/SX 2.0 122 41.3 5038.6 14884 PACIFICA 2WD 215 30 6450 46225 PACIFICA AWD 215 28.2 6063 46225 PT CRUISER 148 34.1 5046.8 21904 RAM 1500 PICKUP 2WD 500 18.7 9350 250000 RAM 1500 PICKUP 4WD 348 20.3 7064.4 121104

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