PC Magazine provided ratings for several characteristics of computer monitors, i
ID: 3050525 • 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 Click on the datafile logo to reference the data DATA file Overall Rating Resolution 89 82 Model Contrast Ratio BenQ BL3201PH AOC U2868PQU NEC MultiSync PA322UHD Acer XB280HK Asus ROG Swift PG278Q AOC E1759Fwu Dell UltraSharp UZ2715H NEC MultiSync EA244UHD HP DreamColor Z27x Dell UltraSharp UZ2315H 87 98 84 85 83 75 81 81 79 47 76 a. Develop the estimated regression equation that can be used to predict the Overall Rating using the Contrast Ratio Rating (to 4 decimals if necessary) The regression equation is: Overall Rating = 69.892 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 (to 4 decimals if necessary). The regression equation is: Overall Rating = 43.104 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 (to the nearest whole number). e0 0920169 +0.1 699 Contrast Ratio + 0.1134 Contrast Ratio0.3820 Resolution 81Explanation / Answer
The statistical software output for this problem is:
Multiple linear regression results:
Dependent Variable: Overall Rating
Independent Variable(s): Contrast Ratio, Resolution
Overall Rating = 43.104521 + 0.11338217 Contrast Ratio + 0.38203256 Resolution
Parameter estimates:
Analysis of variance table for multiple regression model:
Summary of fit:
Root MSE: 1.6728533
R-squared: 0.8369
R-squared (adjusted): 0.7903
Hence,
Regression equation will be:
Overall Rating = 43.1045 + 0.1134 Contrast Ratio + 0.3820 Resolution
Parameter Estimate Std. Err. Alternative DF T-Stat P-value Intercept 43.104521 8.0581525 0 7 5.3491816 0.0011 Contrast Ratio 0.11338217 0.038458631 0 7 2.9481594 0.0215 Resolution 0.38203256 0.109333 0 7 3.4942108 0.0101Related Questions
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