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. Automobile Miles/gallon Displacement(cubic in) Weight(Ib)) Automatic Trans. Corvette 22.50 X X X Cruiser 19.30 X X Omega X 440 X X Nova 514 X X X Corolla E5 X X 5911 X Cougar X X 3800 X Starfire X X O X Cordoba X X X SUMMARY OUTPUT Regression Statistics Multiple R 0.874319 R Square XXXSUMMARY OUTPUT Regression Statistics Multiple R 0.874319 R Square XXX Adjusted R XXX Square Standard Error 3.395 Observations 40 ANOVA df 5S MS F Significance F Regression 3 592.763 XXX XXX XXX Residual 36 414.898 XXX Total 39 1007.661 Coefficients Standard Error t Stat P-value Intercept 45.768 3.861 11.854 0.000 Displacement -0.0176 0.00883 XXX 0.054 Weight -0.00361 0.00074 XXX 0.000 Automatic trans. -0.654 1.201 -0.545 0.589Coefficients Standard Error t Stat P-value Intercept 45.768 3.861 11.854 0.000 Displacement -0.0176 0.00883 XXX 0.054 Weight -0.00361 0.00074 XXX 0.000 Automatic trans. -0.654 1.201 -0.545 0.589 What is the calculated value of MS-Regression in the ANOVA table? 414.898 11.525 1007.661 592.76 197.588What is the value of the R-square for this problem? O 0.421 O 0.935 O 0.764 O 0.543 O 0.874What is table (critical) value of the F-test statistic, assuming 5% significance level? O 2.24 O 8.60 O 0.05 O 2.87 O 3.5What is calculated value of the t-test statistic for the "Weight" variable? O -0.545 O 1.993 O -4.878 O 4.878 O -1.993The researcher wants to predict the miles/gallon for an automobile that has automatic transmission, displacement is 250 (cubic in.) and weight is 3000 pound. Based on the regression output, what is the predicted miles/gallon? O 35.40 0 29.88 g 30.59 0 21.03 0 34.72 Which of the following predictors were found to be significant at 0.05 significance level? O 'Displacement (cubic in.)' and 'Automatic transmission' O 'Weight (Ib) only O 'Displacement (cubic in.) only O 'Weight (Ib)' and 'Displacement (cubic in.)' O None