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 datafile logo to reference the data. DATA file Brand & Model Samsung Ultrabook NP900X3C-A01US Apple MacBook Air MC965LL/A Apple MacBook Air MD231LL/A HP ENVY 13-2050nr Spectre XT Sony VAIO SVS13112FXB Acer Aspire 55-391-9880 Ultrabook Apple MacBook Pro MD101LLIA Apple MacBook Pro MD313LLIA Dell Inspiron 113Z-6591SLV Samsung NP535U3C-A01US Price ($) 1250 1300 1200 950 800 1200 1200 1000 700 600 Overall Score 83 83 82 79 77 74 74 73 67 63 a. Select a scatter diagram with price as the independent variable.
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).

Answer 1

The output of regression analysis

A с F G H J K L M Price x 1250 B Overall y 83 D E SUMMARY OUTPUT 1300 1200 950 800 1200 1200 83 82 79 77 74 Regression Statistics Multiple F 0.786085 R Square 0.61793 Adjusted 1 0.570171 Standard [ 4.416953 Observati 10 74 1000 73 700 67 ANOVA 600 63 df Regressio Residual Total SS MS F gnificance F 1 252.4242 252.4242 12.93855 0.007013 8 156.0758 19.50947 408.5 9 Coefficientsandard Err t Stat P-value Lower 95%Upper 95%ower 95.0%pper 95.0% Intercept 53.86364 6.175123 8.722682 2.33E-05 39.62378 68.1035 39.62378 68.1035 Price x 0.021212 0.005897 3.59702 0.007013 0.007613 0.034811 0.007613 0.034811

a) The scatter plot is

Overall y 90 80 Y=0.021+ 53.86 R=0.617 70 60 Axis Title 50 40 30 20 Overally Linear (Overally) 10 0 0 500 1000 1500 Axis Title

sola b ) Positive relation ship LT = 53.863 +0.0212 X d) for every additional score will increase increase in Price, the overall Limes 0.02 e) X = 700 Û = 53.863 +0.0212 (700) = 68.7