PC Magazine provided ratings for several characteristics of computer monitors, i
ID: 3178289 • Letter: P
Question
PC Magazine provided ratings for several characteristics of computer monitors, including an overall rating (PC Magazine website, April, 2015). The following data show the rating for contrast ratio, resolution, and the overall rating for ten monitors tested using a 0-100 point scale. The highest rated monitor was the BenQ BL3201PH, with an overall rating of 87. a) Develop the estimated regression equation that can be used to predict the Overall Rating using the Contrast Ratio Rating. b) Develop the estimated regression equation that can be used to predict the Overall Rating using both the Contrast Ratio Rating and the Resolution Rating. c) Predict the overall Overall Rating for a computer monitor computer that has a Contrast Ratio Rating of 85 and a Resolution Rating of 74.Explanation / Answer
Part a
Solution:
The estimated regression equation for the prediction of overall rating by using the contrast ratio rating is given as below:
(By using Minitab)
Regression Analysis: Overall Rating versus Contrast Ratio
The regression equation is
Overall Rating = 69.9 + 0.170 Contrast Ratio
Predictor Coef SE Coef T P
Constant 69.892 3.846 18.17 0.000
Contrast 0.16989 0.05407 3.14 0.014
S = 2.592 R-Sq = 55.2% R-Sq(adj) = 49.6%
Analysis of Variance
Source DF SS MS F P
Regression 1 66.343 66.343 9.87 0.014
Residual Error 8 53.757 6.720
Total 9 120.100
Part b
Solution:
The estimated regression equation for the prediction of overall rating by using the contrast ratio rating and resolution rating is given as below:
(By using Minitab)
Regression Analysis: Overall Rating versus Contrast Ratio, Resolution
The regression equation is
Overall Rating = 43.1 + 0.113 Contrast Ratio + 0.382 Resolution
Predictor Coef SE Coef T P
Constant 43.105 8.058 5.35 0.001
Contrast 0.11338 0.03846 2.95 0.021
Resoluti 0.3820 0.1093 3.49 0.010
S = 1.673 R-Sq = 83.7% R-Sq(adj) = 79.0%
Analysis of Variance
Source DF SS MS F P
Regression 2 100.511 50.255 17.96 0.002
Residual Error 7 19.589 2.798
Total 9 120.100
Source DF Seq SS
Contrast 1 66.343
Resoluti 1 34.168
Part c
Solution:
The predicted overall rating is given as below:
The regression equation is
Overall Rating = 43.1 + 0.113*Contrast Ratio + 0.382*Resolution
Overall Rating = 43.1 + 0.113*85 + 0.382*74
Overall Rating = 80.973
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