The following data show the curb weight horsepower an 14 mi

The following data show the curb weight, horsepower, an 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.

Sports & GT car                            Price          Curb wgt.       HP      Speed 1/4

Accura integra type r                    25,035         2577             195        90.7

Accura NSX-T                              93,758        3066               290        108

BMW Z3 2.8                                 40,900        2844               189         93.2

Chevy Camaro Z28                      24,865        3439               305        103.2

Chevy Corvette                            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  SLK 320            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

Porsche Boxster                          45,560          2822              201          93.2

Toyota Supra Turbo                     40,989           3505             320          105

Volvo C70                                    41,120            3285            236           97

A. Find the estimated regression equation, which uses price and orsepower to predict 1/4 mile speed.

B. Plot the standardized residuals against y. Does gthe residual plot support the assumption about E? Explain

C. Check for any outiers. What are your conclusions?

D. Are there any influential observation? Explain.

Solution

a)

Regression Analysis
R
The following data show the curb weight, horsepower, an 1/4 - mile speed for 16 popular sports and GT cars. Suppose that the price of each sports and GT car is

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