Problem: The Buyer\'s Guide section of the Web site for Car and Driver magazine

Question

Problem:

The Buyer's Guide section of the Web site for Car and Driver magazine provides reviews and road tests for cars, trucks, SUVs, and vans. The average ratings of overall quality, vehicle styling, braking, handling, fuel economy, interior comfort, acceleration, dependability, fit and finish, transmission, and ride are summarized for each vehicle using a scale ranging from 1 (worst) to 10 (best). A portion of the data for 14 Sports/GT cars is shown here (http://www.caranddriver.com, January 7, 2004).

7.97

Question: Use the t test to determine the significance of each independent variable. What is your conclusion at the 0.01 level of significance?

Sports/Gt Overall Handling Dependability Fit and Finish Acura 3.2/CL 7.8 7.83 8.17 7.67 Acura RSX 9.02 9.46 9.35 8.97 Audi TT 9 9.58 8.74 9.38 BMW 3-Series/M3 8.39 9.52 8.39 8.55 Chevrolet Corvette 8.82 9.64 8.54 7.87 Ford Mustang 8.34 8.85 8.7 7.34 Honda Civic Si 8.92 9.31 9.5 7.93 Infiniti G35 8.7 9.34 8.96 8.07 Mazda RX-8 8.58 9.79 8.96 8.12 Mini Cooper 8.76 10 8.69 8.33 Mitsubishi Eclipse 8.17 8.95 8.25 7.36 Nissan 350Z 8.07 9.35 7.56 8.21 Porsche 911 9.55 9.91 8.86 9.55 Toyota Celica 8.77 9.29 9.04

7.97

Question: Use the t test to determine the significance of each independent variable. What is your conclusion at the 0.01 level of significance?

Explanation / Answer

if p-value is less than level of significance , the variable is significant

here    0.01 level of significance

dependability has p-value

hence it is significant . rest variables have p-value more than 0.01 , hence insignificant

SUMMARY OUTPUT Regression Statistics Multiple R 0.929902614 R Square 0.864718871 Adjusted R Square 0.824134533 Standard Error 0.189516393 Observations 14 ANOVA df SS MS F Significance F Regression 3 2.295785368 0.765261789 21.30671342 0.000116 Residual 10 0.359164632 0.035916463 Total 13 2.65495 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept -0.055350585 1.12839499 -0.049052491 0.961843361 -2.56957 2.45887 -2.56957 2.45887 Handling 0.276017472 0.121293459 2.27561712 0.046128121 0.005759 0.546276 0.005759 0.546276 Dependability 0.446866264 0.111066615 4.023407616 0.002425107 0.199394 0.694338 0.199394 0.694338 Fit and Finish 0.270275836 0.095268504 2.836990443 0.017639188 0.058004 0.482547 0.058004 0.482547

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