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To help consumers in purchasing a laptop computer, Consumer Reports calculates an overall test score for each computer tested based upon rating factors such as

To help consumers in purchasing a laptop computer, Consumer Reports calculates an overall test score for each computer tested based upon rating factors such as ergonomics, portability, performance, display, and battery life. Higher overall scores indicate better test results. The following data show the average retail price and the overall score for ten 13-inch models (Consumer Reports website, October 25, 2012).

Brand & Model Price ($) Overall Score
Samsung Ultrabook NP900X3C-A01US 1250 83
Apple MacBook Air MC965LL/A 1300 83
Apple MacBook Air MD231LL/A 1200 82
HP ENVY 13-2050nr Spectre XT 950 79
Sony VAIO SVS13112FXB 800 77
Acer Aspire S5-391-9880 Ultrabook 1200 74
Apple MacBook Pro MD101LL/A 1200 74
Apple MacBook Pro MD313LL/A 1000 73
Dell Inspiron I13Z-6591SLV 700 67
Samsung NP535U3C-A01US 600 63

a. Develop a scatter diagram with price as the independent variable.

b. What does the scatter diagram developed in part (a) indicate about the relationship between the two variables?

c. Use the least squares method to develop the estimated regression equation.

d. Provide an interpretation of the slope of the estimated regression equation.

e. Another laptop that Consumer Reports tested is the Acer Aspire S3-951-6646 Ultrabook; the price for this laptop was $700. Predict the overall score for this laptop using the estimated regression equation developed in part (c).

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