PC World rated four component characteristics for 10 ultraportable laptop comput
ID: 3363592 • Letter: P
Question
PCWorld rated four component characteristics for 10 ultraportable laptop computers: features; performance; design; and price. Each characteristic was rated using a 0–100 point scale. An overall rating, referred to as the PC World Rating, was then developed for each laptop. The data in webfile Laptop are performance rating, features rating, and the PC World Rating for the 10 laptop computers (PCWorld website, February 5, 2009). Click on the webfile logo to reference the data.
Determine the estimated regression equation that can be used to predict the PC World Rating using the performance rating as the independent variable (to 3 decimals if necessary).
The regression equation is:
PC Rating = _________ + __________ Performance
Determine the estimated regression equation that can be used to predict the PC World Rating using both the performance rating and the features rating (to 3 decimals if necessary).
The regression equation is:
PC Rating = ___________ + _________ Performance + __________Features
Predict the PC World Rating for a laptop computer that has a performance rating of 80 and a features rating of 70 (to the nearest whole number).
________________________
Explanation / Answer
We use Mnitab Software to answer the questions,
Regression Analysis: PCW Rating versus Performance
Analysis of Variance
Source DF Adj SS Adj MS F-Value P-Value
Regression 1 66.34 66.343 9.87 0.014
Performance 1 66.34 66.343 9.87 0.014
Error 8 53.76 6.720
Lack-of-Fit 7 41.26 5.894 0.47 0.811
Pure Error 1 12.50 12.500
Total 9 120.10
Model Summary
S R-sq R-sq(adj) R-sq(pred)
2.59221 55.24% 49.65% 37.16%
Coefficients
Term Coef SE Coef T-Value P-Value VIF
Constant 66.06 3.79 17.42 0.000
Performance 0.1699 0.0541 3.14 0.014 1.00
Regression Equation
PCW Rating = 66.06 + 0.1699 Performance
___________________________________________________________________________________________
Regression Analysis: PCW Rating versus Performance, Features
Analysis of Variance
Source DF Adj SS Adj MS F-Value P-Value
Regression 2 100.51 50.255 17.96 0.002
Performance 1 24.32 24.323 8.69 0.021
Features 1 34.17 34.168 12.21 0.010
Error 7 19.59 2.798
Total 9 120.10
Model Summary
S R-sq R-sq(adj) R-sq(pred)
1.67285 83.69% 79.03% 64.56%
Coefficients
Term Coef SE Coef T-Value P-Value VIF
Constant 39.98 7.86 5.09 0.001
Performance 0.1134 0.0385 2.95 0.021 1.21
Features 0.382 0.109 3.49 0.010 1.21
Regression Equation
PCW Rating = 39.98 + 0.1134 Performance + 0.382 Features
___________________________________________________________________________________________
We have to predict the PC World Rating for a laptop computer that has a performance rating of 80 and a features rating of 70
The regression model used to estimate PCW Ratings is,
PCW Rating = 39.98 + 0.1134 Performance + 0.382 Features
PCW Rating = 39.98 + 0.1134 * 80 + 0.382 * 70
PCW Rating = 75.792
PCW Rating = 76 ( Rounded to nearest whole number)
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.