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Following are data on price, curb weight, horsepower, time to go from 0 to 60 miles per hour, and the speed at mile for 16

  1. Following are data on price, curb weight, horsepower, time to go from 0 to 60 miles per hour, and the speed at mile for 16 sports and GT cars (1998 Road & Track Sports & GT Cars).

Sports & GT Car

Price ($1000)

Curb Weight (lb.)

Horsepower

Zero to 60 (Seconds)

Speed at 1/4 mile (mph)

Accura Integra Type R

25.035

2577

195

7

90.7

Accura NSX-T

93.758

3066

290

5

108

BMW Z3 2.8

40.900

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

23.200

3227

225

6.8

91.7

Honda Prelude Type SH

26.382

3042

195

7.7

89.7

Mercedes-Benz CLK320

44.988

3240

215

7.2

93

Mercedes-Benz SLK230

42.762

3025

185

6.6

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

27.770

3455

305

5.4

103.2

Porsche Boxster

45.560

2822

201

6.1

93.2

Toyota Supra Turbo

40.989

3505

320

5.3

105

Volvo C70

41.120

3285

236

6.3

97

  1. 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 mile.
  2. Use the F test to determine the significance of the regression results.At a .05 level of significance, what is your conclusion?
  3. Use the t test to determine the significance of each independent variable.At a .05 level of significance, what is your conclusion?
  4. Delete any independent variable that is not significant and provide your recommended estimated regression equation.

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