Following are data on price, curb weight, horsepower, time to go from 0 to 60 miles per hour, and the speed at ¹⁄4 mile for 16 sports and GT cars.
Curb
Speed at
Price
Weight
Horse-
0 to 60
¹⁄4 mile
Car
($1000s)
(lb.)
power
(seconds)
(mph)
Acura Integra Type R
25.035
2577
195
7
90.7
Acura NSX-T
93.758
3066
290
5
108
BMW Z3 2.8
40.9
2844
189
6.6
93.2
Chevrolet Camaro Z28
24.865
3439
305
5.4
103.2
Chevrolet Corvette Convertible
50.144
3246
345
5.2
102.1
Dodge Viper RT/10
69.742
3319
450
4.4
116.2
Ford Mustang GT
23.2
3227
225
6.8
91.7
Honda Prelude Type SH
26.382
3042
7.7
89.7
Mercedes-Benz CLK320
44.988
3240
215
7.2
93
Mercedes-Benz SLK230
42.762
3025
185
92.3
Mitsubishi 3000GT VR-4
47.518
3737
320
5.7
99
Nissan 240SX SE
25.066
2862
155
9.1
84.6
Pontiac Firebird Trans Am
27.77
3455
Porsche Boxster
45.56
2822
201
6.1
Toyota Supra Turbo
40.989
3505
5.3
105
Volvo C70
41.12
3285
236
6.3
97
a. Develop an estimated regression equation with price, curb weight, horsepower, and time to go from 0 to 60 mph as four independent variables to predict the speed at ¹⁄4 mile.
b. Use theFtest to determine the significance of the regression results. At a .05 level of significance, what is your conclusion?
c. Use thettest to determine the significance of each independent variable. At a .05 level of significance, what is your conclusion?
d. Delete any independent variable that is not significant and provide your recommended estimated regression equation.
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