This question is based on Excel data called mileage. You can download it by clic

Question

This question is based on Excel data called mileage. You can download it by clicking the file name here or fr Data for Final Exam" module in Content. om "Excel Suppose that a consumer organization wanted to develop a multiple regression model to predict a gasoline mileage as measured by miles per gallon (MPG) based on the horsepower (HP) of the car's engine and car. A Sample of 15 recent car models was selected and the relevant data were collected. How do we interpret the weight of the coefficient of HP in the Excel putput? O a) As HP increases by 1, MPG decreases by 0.06 assuming wight is same. O b) As HP increases by 1, MPG decreases by 0.0006assuming wight is same. d) As HP increases by 1, MPG increases by 0.06 assuming wight is same.

Explanation / Answer

Result

coefficient of horsepower is -0.0583 = -0.06

hence when horsepower increase by 1 unit with weight constant , mileage decrease by 0.06 unit

hence option A) is correct

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SUMMARY OUTPUT Regression Statistics Multiple R 0.915559667 R Square 0.838249504 Adjusted R Square 0.811291088 Standard Error 1.956551832 Observations 15 ANOVA df SS MS F Significance F Regression 2 238.0628591 119.0314296 31.09417 1.79E-05 Residual 12 45.93714086 3.828095072 Total 14 284 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Intercept 42.6401974 1.994325058 21.380766 6.39E-11 38.29494 46.98546 38.29494 Horsepower -0.058370868 0.013165631 -4.433579278 0.000816 -0.08706 -0.02969 -0.08706 weight -0.000637692 0.000966215 -0.659989131 0.521727 -0.00274 0.001468 -0.00274

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