Question 8Below is some of the regression output from aregression of the gas mileage (expressed in milesper gallon) (MPG) an automobile gets versus thesize of the car's engine (expressed in cubic liters)and the weight of the car (expressed in tons)Regression StatisticsMultiple R0.982R SquareAdjusted RSquareStandard ErrorObservations10ANOVAdfSSMSFSignificance FRegression574.7287.496.38.08847E-06Residual3.0Total595.6Coefficients Standard Error t Stat P-valueUpper 95%Lower 95%Intercept53.32.4821.86 0.00048.4460.19Engine Size-4.81.770.0540.09Weight-183.360.003-24.41Based on the regression output, if we wanted totest the following hypothesis:H0: coefficient on Weight is GREATER THAN -13.7H 1: coefficient on Weight is LESS THAN -13.7What is the critical value for this hypothesis test ifwe use a 5% level of significance? (please expressyour answer using 2 decimal places)

Step 1: Full model containing all predictors : Yi= ( β0+ β1Xi1 + β2 Xi2) +εi i=1,2,…,n To test 2nd…

Below is some of the regression output from a regression of the gas mileage (expressed in miles per gallon) (MPG) an automobile gets versus the size of the car's engine (expressed in cubic liters) and the weight of the car (expressed in tons) Regression Statistics Multiple R 0.982 R Square Adjusted R Square Standard Error Observations 10 ANOVA df MS F Significance F Regression 574.7 287.4 96.3 8.08847E-06 Residual 3.0 Total 9 595.6 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept 53.3 2.48 21.86 0.000 48.44 60.19 Engine Size -4.8 1.77 0.054 0.09 Weight -18 3.36 0.003 -24.41 Based on the regression output, if we wanted to test the following hypothesis: H0: coefficient on Weight is GREATER THAN -13.7 H 1: coefficient on Weight is LESS THAN -13.7 What is the critical value for this hypothesis test if we use a 5% level of significance? (please express your answer using 2 decimal places)

Below is some of the regression output from a regression of the gas mileage (expressed in miles per gallon) (MPG) an automobile gets versus the size of the car's engine (expressed in cubic liters) and the weight of the car (expressed in tons) Regression Statistics Multiple R 0.982 R Square Adjusted R Square Standard Error Observations 10 ANOVA df MS F Significance F Regression 574.7 287.4 96.3 8.08847E-06 Residual 3.0 Total 9 595.6 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept 53.3 2.48 21.86 0.000 48.44 60.19 Engine Size -4.8 1.77 0.054 0.09 Weight -18 3.36 0.003 -24.41 Based on the regression output, if we wanted to test the following hypothesis: H0: coefficient on Weight is GREATER THAN -13.7 H 1: coefficient on Weight is LESS THAN -13.7 What is the critical value for this hypothesis test if we use a 5% level of significance? (please express your answer using 2 decimal places)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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