Question
Please help with regression problem! Multiple choice
A researcher is interested to find out how the engine displacement vehicle weight, and the type of transmission [i.e. automatic & manual] affect the automobile gasoline mileage. Type of transmission is represented by one dummy variable: automatic (-1, if transmission is automatic; 0, if transmission is manual) Part of the raw data and the regression output of 40 different car models are given below. cementícubic Weightlb)l Trans Automobile Miles/gallon Displacement(cubic in) Corvette 22.50 x Cruiser 19.30x Omega x Novax 440 514 Corolla E5 x 5911 x Cougar x 3800x Starfire x Cordobax SUMMARY OUTPUT
SUMMARY OUTPUT Regression Statistics Multiple R 0.874319 R Square xxx Adjusted R Square Standard Error 3.395 Observations 40 ANOVA Significance df MS F Regression 3 Residual 36 Total 592.763 xxxXxx xxx 414.898 xxx 39 1007.661 Coeficients Standard Error t Stat P-value Intercept 45.768 3.861 11.854 0.000 Displacement -0.0176 0.00883 x 0.054
Displacement -0.0176 0.00883 xxx 0.054 Weight -0.00361 0.00074xxx 0.000 -0.654 1.201 -0.545 0.589 trans. The researcher wants to predict the miles/gallon for an automobile that has manual transmission, displacement is 250 (cubic in.) and weight is 3000 pound. Based on the regression output, what is the predicted miles/gallon? ○ 36.11 21.74 ○ 30.59 O29.88 O 35.43 4 Previous Next
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Answer #1

y^= 45.768 - 0.0176 * displacement - 0.00361 * weight -0.654 * Automatic Transmission

{Note the coefficient}

here

displacement = 250 , weight = 3000 , Automatic Transmission = 1

y^= 45.768 - 0.0176 *250 - 0.00361 * 3000-0.654 * 1

= 29.884

option D) 29.88 is correct

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