Question
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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