The U.S. Department of Energy’s Fuel Economy Guide provides fuel efficiency data for cars and trucks. The following regression output was obtained for a sample of 45 cars. The variable of interest is highway miles per gallon (Hwy MPG). The independent variables used in the analysis are as follows:The class of the vehicle: Compact, Midsize or Large. Midsize = 1 if the car is a midsize, 0 otherwise. Similarly, Large = 1 if it is a large car, 0 otherwise.Displcement: The engine displacement (size) in litersPremium: Equals 1 if premium fuel is used, 0 if regular fuel is usedCylinders: Number of cylinders Regression Statistics Multiple R0.90 R Square Adjusted R Square0.79 Standard Error1.78 Observations45 ANOVA dfSSMSFSignificance F Regression5536.75107.3533.850.00 Residual39123.703.17 Total44660.44 CoefficientsStandard Errort StatP-valueLower 95%Upper 95%Intercept28.401.2622.480.0025.8530.96Displacement0.300.700.430.67-1.121.71Cylinders-0.940.39-2.400.02-1.74-0.15Midsize4.920.786.330.003.356.49Large1.880.752.510.020.373.40Premium-0.790.60-1.330.19-2.000.41 Suppose that a compact car has a 2.0 liter engine with 4 cylinders and uses premium fuel. Calculated the expected fuel efficiency of the car.How would you interpret the coefficient of “Large”?Which independent variables are significant at the 5% level and why?Calculate the missing R2 and comment on the goodness of fit.What is the 95% confidence interval for the coefficient of Displacement?

Given The following regression output was obtained for a sample of 45 cars. n = 45 Midsize = 1 , 0…

Answered: Suppose that a compact car has a 2.0…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Question

The U.S. Department of Energy’s Fuel Economy Guide provides fuel efficiency data for cars and trucks. The following regression output was obtained for a sample of 45 cars. The variable of interest is highway miles per gallon (Hwy MPG). The independent variables used in the analysis are as follows:

The class of the vehicle: Compact, Midsize or Large. Midsize = 1 if the car is a midsize, 0 otherwise. Similarly, Large = 1 if it is a large car, 0 otherwise.

Displcement: The engine displacement (size) in liters

Premium: Equals 1 if premium fuel is used, 0 if regular fuel is used

Cylinders: Number of cylinders

Regression Statistics
Multiple R	0.90
R Square
Adjusted R Square	0.79
Standard Error	1.78
Observations	45

ANOVA
	df	SS	MS	F	Significance F
Regression	5	536.75	107.35	33.85	0.00
Residual	39	123.70	3.17
Total	44	660.44

	Coefficients	Standard Error	t Stat	P-value	Lower 95%	Upper 95%
Intercept	28.40	1.26	22.48	0.00	25.85	30.96
Displacement	0.30	0.70	0.43	0.67	-1.12	1.71
Cylinders	-0.94	0.39	-2.40	0.02	-1.74	-0.15
Midsize	4.92	0.78	6.33	0.00	3.35	6.49
Large	1.88	0.75	2.51	0.02	0.37	3.40
Premium	-0.79	0.60	-1.33	0.19	-2.00	0.41

Suppose that a compact car has a 2.0 liter engine with 4 cylinders and uses premium fuel. Calculated the expected fuel efficiency of the car.
How would you interpret the coefficient of “Large”?
Which independent variables are significant at the 5% level and why?
Calculate the missing R² and comment on the goodness of fit.
What is the 95% confidence interval for the coefficient of Displacement?

Expert Solution