The Tire Rack, America’s leading online distributor of tires and wheels, conducts extensivetesting to provide customers with products that are right for their vehicle, driving style,and driving...

The Tire Rack, America’s leading online distributor of tires and wheels, conducts extensivetesting to provide customers with products that are right for their vehicle, driving style,and driving conditions. In addition, the Tire Rack maintains an independent consumer surveyto help drivers help each other by sharing their long-term tire experiences. The followingdata show survey ratings (1 to 10 scale with 10 the highest rating) for 18 maximumperformance summer tires (Tire Rack website, February 3, 2009). The variable Steeringrates the tire’s steering responsiveness, Tread Wear rates quickness of wear based on thedriver’s expectations, and Buy Again rates the driver’s overall tire satisfaction and desireto purchase the same tire again.Tire Steering Tread Wear Buy AgainGoodyear Assurance TripleTred 8.9 8.5 8.1Michelin HydroEdge 8.9 9.0 8.3Michelin Harmony 8.3 8.8 8.2Dunlop SP 60 8.2 8.5 7.9Goodyear Assurance ComforTred 7.9 7.7 7.1Yokohama Y372 8.4 8.2 8.9Yokohama Aegis LS4 7.9 7.0 7.1Kumho Power Star 758 7.9 7.9 8.3Goodyear Assurance 7.6 5.8 4.5Hankook H406 7.8 6.8 6.2Michelin Energy LX4 7.4 5.7 4.8Michelin MX4 7.0 6.5 5.3Michelin Symmetry 6.9 5.7 4.2Kumho 722 7.2 6.6 5.0Dunlop SP 40 A/S 6.2 4.2 3.4Bridgestone Insignia SE200 5.7 5.5 3.6Goodyear Integrity 5.7 5.4 2.9Dunlop SP20 FE 5.7 5.0 3.3a. Develop an estimated regression equation that can be used to predict the Buy Againrating given based on the Steering rating. At the .05 level of significance, test for a significantrelationship.b. Did the estimated regression equation developed in part (a) provide a good fit to thedata? Explain.c. Develop an estimated regression equation that can be used to predict the Buy Againrating given the Steering rating and the Tread Wear rating.d. Is the addition of the Tread Wear independent variable significant? Use a = .05.