[EX03-070] Luxury cars are sweet if you can afford them. If not, you may want to consider a more affordable “feel alike” model, according to Mitch McCullough, who evaluates 60 to 70 vehicles annually as editor of New Car Test Drive

(http://www.nctd.com).

Luxury Models Cost ($1000)

Mercedes-Benz SLK320 46 Chevrolet Corvette 45 BMW 330i 35 Lexus ES 330 32 Lincoln Town Car 42 Lexus RX 330 SUV 36 Lincoln Aviator SUV 41 Porsche Cayenne S SUV 56 Land Rover Range Rover SUV 73 Cadillac Escalade SUV 53

“Feel Alike” Alternative Cost ($1000)

Chrysler Crossfire 34 Nissan 350Z 27 Infiniti G35 30 Hyundai XG350L 26 Mercury Grand Marquis LS 30 Nissan Murano 28 Ford Explorer Eddie Bauer 34 Infiniti FX35 34 Volkswagen Touareg V8 43 GMC Yukon 36 Source: Reader’s Digest, June 2004

a. Do you expect that the two variables will show a linear relationship? Explain.

b. Construct the scatter diagram using x  luxury cost and y  “feel alike cost.”

c. Does there appear to be a linear pattern? Explain.

d. Calculate the equation for the line of best fit.

e. Use the equation found in part d to estimate the cost of a “feel alike” vehicle comparable to a $40,000 luxury vehicle. Explain the meaning of your answer.

f. Use the equation found in part d to estimate the cost of a “feel alike” vehicle comparable to a $60,000 luxury vehicle. Explain the meaning of your answer.