In: Statistics and Probability
42. The following data show the curb weight, horsepower, and 1/4-mile speed for 16 popular sports and GT cars. Suppose that the price of each sports and GT car is also available. The complete data set is as follows:
a)Plot the standardized residuals against ŷ and the normal probability plot. Do the plots support the assumptions about ε? Explain.
b)Get a list of standardized residuals, standardized deleted residuals, leverages, and Cook’s Distances.
c) Use the results in b), check for any outliers. What are your conclusions? Explain.
d)Use the results in b), check for any influential observations. What are your conclusions? Explain.
Sports & GT Car Price ($1000s) Curb Weight (lb.) Horsepower Speed at 1/4 mile (mph)
Acura Integra Type R 25.035 2577 195 90.7
Acura NSX-T 93.758 3066 290 108
BMW Z3 2.8 40.900 2844 189 93.2
Chevrolet Camaro Z28 24.865 3439 305 103.2
Chevrolet Corvette Convertible 50.144 3246 345 102.1
Dodge Viper RT/10 69.742 3319 450 116.2
Ford Mustang GT 23.200 3227 225 91.7
Honda Prelude Type SH 26.382 3042 195 89.7
Mercedes-Benz CLK320 44.988 3240 215 93
Mercedes-Benz SLK230 42.762 3025 185 92.3
Mitsubishi 3000GT VR-4 47.518 3737 320 99
Nissan 240SX SE 25.066 2862 155 84.6
Pontiac Firebird Trans Am 27.770 3455 305 103.2
PorscheBoxster 45.560 2822 201 93.2
Toyota Supra Turbo 40.989 3505 320 105
Volvo C70 41.120 3285 236 97
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