The Tire Rack, America’s leading online distributor of tires and wheels, conducts extensive testing to provide customers with products that are right for their vehicle, driving style, and driving conditions. In addition, the Tire Rack maintains and independent consumer survey to help drivers help each other by sharing their long-term driving experiences.  The following data show survey ratings (1 to 10 scale with 10 the highest rating) for 18 maximum performance summer tires.  The variable Steering rates the tire’s steering responsiveness, Tread Wear rates quickness of wear based on the driver’s expectations, and Buy Again rates the driver’s overall tire satisfaction and desire to purchase the same tire again. Develop the estimated regression equation that can be used to predict the Buy Again rating given based on the Steering rating. At the .05 level of significance, test for a significant relationship. Did the estimated regression equation developed in part (a) provide a good fit to the data? Develop an estimated regression equation that can be used to predict the Buy Again rating given the Steering rating and the Tread Wear rating.   Tire Steering Tread Wear Buy Again Goodyear Assurance Triple Tred 8.9 8.5 8.1 Michelin HydroEdge 8.9 9.0 8.3 Michelin Harmony 8.3 8.8 8.2 Dunlop SP60 8.2 8.5 7.9 Goodyear Assurance ComforTred 7.9 7.7 7.1 Yokohama Y372 8.4 8.2 8.9 Yokohama Aegis LS4 7.9 7.0 7.1 Kumho Power Star 758 7.9 7.9 8.3 Goodyear Assurance 7.6 5.8 4.5 Hankook H406 7.8 6.8 6.2 Michelin Energy LX4 7.4 5.7 4.8 Michelin MX4 7.0 6.5 5.3 Michelin Symmetry 6.9 5.7 4.2 Kumho 722 7.2 6.6 5.0 Dunlop SP 40 A/S 6.2 4.2 3.4 Bridgestone Insignia SE200 5.7 5.5 3.6 Goodyear Integrity 5.7 5.4 2.9 Dunlop SP20 FE 5.7 5.0 3.3

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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  1. The Tire Rack, America’s leading online distributor of tires and wheels, conducts extensive testing to provide customers with products that are right for their vehicle, driving style, and driving conditions. In addition, the Tire Rack maintains and independent consumer survey to help drivers help each other by sharing their long-term driving experiences.  The following data show survey ratings (1 to 10 scale with 10 the highest rating) for 18 maximum performance summer tires.  The variable Steering rates the tire’s steering responsiveness, Tread Wear rates quickness of wear based on the driver’s expectations, and Buy Again rates the driver’s overall tire satisfaction and desire to purchase the same tire again.
    1. Develop the estimated regression equation that can be used to predict the Buy Again rating given based on the Steering rating. At the .05 level of significance, test for a significant relationship.
    2. Did the estimated regression equation developed in part (a) provide a good fit to the data?
    3. Develop an estimated regression equation that can be used to predict the Buy Again rating given the Steering rating and the Tread Wear rating.

 

Tire

Steering

Tread Wear

Buy Again

Goodyear Assurance Triple Tred

8.9

8.5

8.1

Michelin HydroEdge

8.9

9.0

8.3

Michelin Harmony

8.3

8.8

8.2

Dunlop SP60

8.2

8.5

7.9

Goodyear Assurance ComforTred

7.9

7.7

7.1

Yokohama Y372

8.4

8.2

8.9

Yokohama Aegis LS4

7.9

7.0

7.1

Kumho Power Star 758

7.9

7.9

8.3

Goodyear Assurance

7.6

5.8

4.5

Hankook H406

7.8

6.8

6.2

Michelin Energy LX4

7.4

5.7

4.8

Michelin MX4

7.0

6.5

5.3

Michelin Symmetry

6.9

5.7

4.2

Kumho 722

7.2

6.6

5.0

Dunlop SP 40 A/S

6.2

4.2

3.4

Bridgestone Insignia SE200

5.7

5.5

3.6

Goodyear Integrity

5.7

5.4

2.9

Dunlop SP20 FE

5.7

5.0

3.3

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