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To help consumers in purchasing a laptop computer, Consumer Reports calculates a

ID: 3059631 • Letter: T

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 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). Click on the webfile logo to reference the data. WEB file Brand & Model Price (S) Overall Score 1250 1300 1200 Samsung Ultrabook NP9o0x3C-A0IUS Apple MacBook Air MC965LLJA Apple MacBook Air MD23ILIJA HP ENVY 13-2050nr Spectre XT Sony VAIO SVS13112FXB Acer Aspire S5-391-9880 Ultrabook Apple MacBook Pro MD101LLUA Apple MacBook Pro MD313LLIA Dell Inspiron 1132-6591SLV Samsung NP535U3C-AO1US 79 1200 1200 1000 74 74 73 67 a. Select a scatter diagram with price as the independent variable 70 600 1000 1200 Price (S) 75 70 65 2 1400 Price (S) 75 70 50 1200 1400 Price (S)

Explanation / Answer

a.

Scatter plot 1 is appropriate

b.

The scatter plot indicates that there is a strong positive association between the two variables

c.

The estimated regression equation is,

Overall Score = 53.860 + 0.0212 Price

d.

The interpretation of the slope is,

With a unit increase in price, the overall score is expected to increase by 0.0212

e.

The predicted overall score is,

53.860 + 0.0212 * 700 = 68.7

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