Buy Again Tread Wear Steering Tire 8.1 8.5 8.9 Goodyear Assurance TripleTred Michelin HydroEdge Michelin Harmony Dunlop SP 60 Goodyear Assurance ComforTred Yokohama Y372 8.3 8.2 9.0 8.9 8.8 8.3 7.9 7.1 8.9 7.1 8.5 8.2 7.7 7.9 8.2 8.4 7.0 7.9 Yokohama Aegis LS4 Kumho Power Star 758 8.3 4.5 6.2 7.9 7.9 Goodycar Assurance Hankook H406 Michelin Energy LX4 Michelin MX4 Michelin Symmetry Kumho 722 5.8 7.6 6.8 7.8 4.8 5.7 7.4 5.3 6.5 7.0 4.2 6.9 7.2 5.7 5.0 6.6 Dunlop SP 40 A/S Bridgestone Insignia SE200 Goodyear Integrity Dunlop SP20 FE 3.4 4.2 6.2 3.6 5.5 5.7 2.9 5.4 5.7 3.3 5.0 5.7 a. Develop an estimated regression cquation that can be used to predict the Buy Again rating given thc Steering rating. At the .05 level of significance, test for a significant relationship. b. Did the estimated regression equation developed in part (a) provide a good fit to the data? Explain. c. Develop an estimated regression equation that can be used to predict the Buy Again rating given the Steering rating and the Tread Wear rating. d. Is the addition of the Tread Wear independent variable significant? Use a = .05. Buy Again Tread Wear Steering Tire 8.1 8.5 8.9 Goodyear Assurance TripleTred Michelin HydroEdge Michelin Harmony Dunlop SP 60 Goodyear Assurance ComforTred Yokohama Y372 8.3 8.2 9.0 8.9 8.8 8.3 7.9 7.1 8.9 7.1 8.5 8.2 7.7 7.9 8.2 8.4 7.0 7.9 Yokohama Aegis LS4 Kumho Power Star 758 8.3 4.5 6.2 7.9 7.9 Goodycar Assurance Hankook H406 Michelin Energy LX4 Michelin MX4 Michelin Symmetry Kumho 722 5.8 7.6 6.8 7.8 4.8 5.7 7.4 5.3 6.5 7.0 4.2 6.9 7.2 5.7 5.0 6.6 Dunlop SP 40 A/S Bridgestone Insignia SE200 Goodyear Integrity Dunlop SP20 FE 3.4 4.2 6.2 3.6 5.5 5.7 2.9 5.4 5.7 3.3 5.0 5.7 a. Develop an estimated regression cquation that can be used to predict the Buy Again rating given thc Steering rating. At the .05 level of significance, test for a significant relationship. b. Did the estimated regression equation developed in part (a) provide a good fit to the data? Explain. c. Develop an estimated regression equation that can be used to predict the Buy Again rating given the Steering rating and the Tread Wear rating. d. Is the addition of the Tread Wear independent variable significant? Use a = .05.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 an independent consumer survey to help drivers help each other by sharing their long-term tire experiences. The following data show survey ratings (1 to 10 scale with 10 the highest rating) for 18 maximum performance summer tires (Tire Rack website, February 3, 2009). 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. (Data is in TireRack file)

1. Develop an 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. Interpret the coefficients (Say what they mean in terms of change in you corresponding to a change in x)

2. Did the estimated regression equation developed in part (a) provide a good fit to the data? Explain.

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.

4. Is the addition of the Tread Wear independent variable significant? Use 0.05 level of significance.

Buy Again
Tread Wear
Steering
Tire
8.1
8.5
8.9
Goodyear Assurance TripleTred
Michelin HydroEdge
Michelin Harmony
Dunlop SP 60
Goodyear Assurance ComforTred
Yokohama Y372
8.3
8.2
9.0
8.9
8.8
8.3
7.9
7.1
8.9
7.1
8.5
8.2
7.7
7.9
8.2
8.4
7.0
7.9
Yokohama Aegis LS4
Kumho Power Star 758
8.3
4.5
6.2
7.9
7.9
Goodycar Assurance
Hankook H406
Michelin Energy LX4
Michelin MX4
Michelin Symmetry
Kumho 722
5.8
7.6
6.8
7.8
4.8
5.7
7.4
5.3
6.5
7.0
4.2
6.9
7.2
5.7
5.0
6.6
Dunlop SP 40 A/S
Bridgestone Insignia SE200
Goodyear Integrity
Dunlop SP20 FE
3.4
4.2
6.2
3.6
5.5
5.7
2.9
5.4
5.7
3.3
5.0
5.7
a. Develop an estimated regression cquation that can be used to predict the Buy Again
rating given thc Steering rating. At the .05 level of significance, test for a significant
relationship.
b. Did the estimated regression equation developed in part (a) provide a good fit to the
data? Explain.
c. Develop an estimated regression equation that can be used to predict the Buy Again
rating given the Steering rating and the Tread Wear rating.
d. Is the addition of the Tread Wear independent variable significant? Use a = .05.
Transcribed Image Text:Buy Again Tread Wear Steering Tire 8.1 8.5 8.9 Goodyear Assurance TripleTred Michelin HydroEdge Michelin Harmony Dunlop SP 60 Goodyear Assurance ComforTred Yokohama Y372 8.3 8.2 9.0 8.9 8.8 8.3 7.9 7.1 8.9 7.1 8.5 8.2 7.7 7.9 8.2 8.4 7.0 7.9 Yokohama Aegis LS4 Kumho Power Star 758 8.3 4.5 6.2 7.9 7.9 Goodycar Assurance Hankook H406 Michelin Energy LX4 Michelin MX4 Michelin Symmetry Kumho 722 5.8 7.6 6.8 7.8 4.8 5.7 7.4 5.3 6.5 7.0 4.2 6.9 7.2 5.7 5.0 6.6 Dunlop SP 40 A/S Bridgestone Insignia SE200 Goodyear Integrity Dunlop SP20 FE 3.4 4.2 6.2 3.6 5.5 5.7 2.9 5.4 5.7 3.3 5.0 5.7 a. Develop an estimated regression cquation that can be used to predict the Buy Again rating given thc Steering rating. At the .05 level of significance, test for a significant relationship. b. Did the estimated regression equation developed in part (a) provide a good fit to the data? Explain. c. Develop an estimated regression equation that can be used to predict the Buy Again rating given the Steering rating and the Tread Wear rating. d. Is the addition of the Tread Wear independent variable significant? Use a = .05.
Buy Again
Tread Wear
Steering
Tire
8.1
8.5
8.9
Goodyear Assurance TripleTred
Michelin HydroEdge
Michelin Harmony
Dunlop SP 60
Goodyear Assurance ComforTred
Yokohama Y372
8.3
8.2
9.0
8.9
8.8
8.3
7.9
7.1
8.9
7.1
8.5
8.2
7.7
7.9
8.2
8.4
7.0
7.9
Yokohama Aegis LS4
Kumho Power Star 758
8.3
4.5
6.2
7.9
7.9
Goodycar Assurance
Hankook H406
Michelin Energy LX4
Michelin MX4
Michelin Symmetry
Kumho 722
5.8
7.6
6.8
7.8
4.8
5.7
7.4
5.3
6.5
7.0
4.2
6.9
7.2
5.7
5.0
6.6
Dunlop SP 40 A/S
Bridgestone Insignia SE200
Goodyear Integrity
Dunlop SP20 FE
3.4
4.2
6.2
3.6
5.5
5.7
2.9
5.4
5.7
3.3
5.0
5.7
a. Develop an estimated regression cquation that can be used to predict the Buy Again
rating given thc Steering rating. At the .05 level of significance, test for a significant
relationship.
b. Did the estimated regression equation developed in part (a) provide a good fit to the
data? Explain.
c. Develop an estimated regression equation that can be used to predict the Buy Again
rating given the Steering rating and the Tread Wear rating.
d. Is the addition of the Tread Wear independent variable significant? Use a = .05.
Transcribed Image Text:Buy Again Tread Wear Steering Tire 8.1 8.5 8.9 Goodyear Assurance TripleTred Michelin HydroEdge Michelin Harmony Dunlop SP 60 Goodyear Assurance ComforTred Yokohama Y372 8.3 8.2 9.0 8.9 8.8 8.3 7.9 7.1 8.9 7.1 8.5 8.2 7.7 7.9 8.2 8.4 7.0 7.9 Yokohama Aegis LS4 Kumho Power Star 758 8.3 4.5 6.2 7.9 7.9 Goodycar Assurance Hankook H406 Michelin Energy LX4 Michelin MX4 Michelin Symmetry Kumho 722 5.8 7.6 6.8 7.8 4.8 5.7 7.4 5.3 6.5 7.0 4.2 6.9 7.2 5.7 5.0 6.6 Dunlop SP 40 A/S Bridgestone Insignia SE200 Goodyear Integrity Dunlop SP20 FE 3.4 4.2 6.2 3.6 5.5 5.7 2.9 5.4 5.7 3.3 5.0 5.7 a. Develop an estimated regression cquation that can be used to predict the Buy Again rating given thc Steering rating. At the .05 level of significance, test for a significant relationship. b. Did the estimated regression equation developed in part (a) provide a good fit to the data? Explain. c. Develop an estimated regression equation that can be used to predict the Buy Again rating given the Steering rating and the Tread Wear rating. d. Is the addition of the Tread Wear independent variable significant? Use a = .05.
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