Chevrolet Corvette Convertible

	Price ($1000s)	Curb Weight (lb.)	Horsepower	0 to 60 (seconds)	Speed at 1/4 mile (mph)
Sports & GT Car	Y	X1	X2	X3	X4
Accura Integra Type R	25.035				90.7
Accura NSX-T	93.758				108.0
BMW Z3 2.8	40.900			6.6	93.2
Chevrolet Camaro Z28	24.865			5.4	103.2
Chevrolet Corvette Convertible	50.144			5.2	102.1
Dodge Viper RT/10	69.742			4.4	116.2
Ford Mustang GT	23.200			6.8	91.7
Honda Prelude Type SH	26.382			7.7	89.7
Mercedes-Benz CLK320	44.988			7.2	93.0
Mercedes-Benz SLK230	42.762			6.6	92.3
Mitsubishi 3000GT VR-4	47.518			5.7	99.0
Nissan 240SX SE	25.066			9.1	84.6
Pontiac Firebird Trans Am	27.770			5.4	103.2
Porsche Boxster	45.560			6.1	93.2
Toyota Supra Turbo	40.989			5.3	105.0
Volvo C70	41.120			6.3	97.0

Quiz VI – Statistics II

Name_Surname:

Theory: Price of Sports & GT cars

ANOVA
	df	SS	MS	F
Regression	x=?	x=?	x=?	x=?
Residual	x	2401.8285	x=?
Total	x	5238.2030
	Coefficients	Sb	t Stat	Lower 99.0%	Upper 99.0%
Intercept	-208.4824	x=?	x=?	x=?	446.8482
X1	-0.0140	x	x	x	0.0406
X2	-0.1557	x	x	x	0.3311
X3	1.3754	x	x	x	27.6124
X4	3.3433	x	x	x	9.0454

a) Write the estimated regression equation and interpret the meaning of the estimated regression coefficients;

b) What are the values of the variance and standard deviation of errors, the multiple R, the coefficient of determination, and the adjusted coefficient of determination?

c) What is the predicted price for a sport car with 2950lb. weight, 250 horsepower, 5.5 sec acceleration, and 95 mph speed at ¼ mile?

d) Using 1% significance level, test the null hypothesis that the coefficients of each variable are zero.

e) Using 5% significance level, can you conclude that the coefficients of all independent variables are zero?

f) Construct a 99% confidence interval for the coefficients of all variables.

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