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. AutomobileMiles/gallonDisplacement(cubic in)Weight(lb))Automatic Trans.Corvette22.50xxxCruiser19.30xxxOmegax440xxNovax514xxCorolla E5xx5911xCougarxx3800xStarfirexxx0Cordobaxxx1 SUMMARY OUTPUT Regression Statistics Multiple R0.874319 R Squarexxx Adjusted R Squarexxx Standard Error3.395 Observations40 ANOVA dfSSMSFSignificance F Regression3592.763xxxxxxxxx Residual36414.898xxx Total391007.661 CoefficientsStandard Errort StatP-value Intercept45.7683.86111.8540.000 Displacement-0.01760.00883xxx0.054 Weight-0.003610.00074xxx0.000 Automatic trans.-0.6541.201-0.5450.5891. What is the value of the R-square for this problem?2. What is table (critical) value of the F-test statistic, assuming 5% significance level?3. What is calculated value of the t-test statistic for the “Displacement” variable?4. The 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?5. Which of the following predictors were found to be significant at 0.05 significance level?

Note: Hi, thank you for the question. As per our company guideline we are supposed to answer only…

Answered: What is the value of the R-square for…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.5: Correlation And Causation

Problem 15PPS

See similar textbooks

Related questions

Question

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(lb))	Automatic Trans.
Corvette	22.50	x	x	x
Cruiser	19.30	x	x	x
Omega	x	440	x	x
Nova	x	514	x	x
Corolla E5	x	x	5911	x
Cougar	x	x	3800	x
Starfire	x	x	x	0
Cordoba	x	x	x	1

SUMMARY OUTPUT

Regression Statistics
Multiple R	0.874319
R Square	xxx
Adjusted R Square	xxx
Standard Error	3.395
Observations	40

ANOVA
	df	SS	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	0.589

1. What is the value of the R-square for this problem?

2. What is table (critical) value of the F-test statistic, assuming 5% significance level?

3. What is calculated value of the t-test statistic for the “Displacement” variable?

4. The 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?

5. Which of the following predictors were found to be significant at 0.05 significance level?

Expert Solution