Mechanics and Techniques Problems

12.1. Answer the following questions for the regression output shown below.


Results of simple regression for Log(Cost)

Summary measures
	Multiple R	0.8529
	R-Square	0.7274
	StErr of Est	0.0728

ANOVA table
	Source	df	SS	MS	F	p-value
	Explained	1	0.4806	0.4806	90.7367	0.0000
	Unexplained	34	0.1801	0.0053

Regression coefficients
						Lower	Upper
		Coefficient	Std Err	t-value	p-value	limit	limit
	Constant	10.1592	0.0510	199.0448	0.0000	10.0555	10.2630
	Units	0.0008	0.0001	9.5256	0.0000	0.0006	0.0010

What is the regression equation, as taken directly from the output?
What kind of model does this represent (Linear, Logarithmics, Exponential, Power, Multiplicative)?
Convert the regression equation to standard form.

12.2. Answer the following questions for the regression output shown below.


Results of multiple regression for Cost

Summary measures
	Multiple R	0.8931
	R-Square	0.7977
	Adj R-Square	0.7917
	StErr of Est	2392.8335

ANOVA table
	Source	df	SS	MS	F	p-value
	Explained	1	7.68E08	7.68E08	134.0471	0.0000
	Unexplained	34	1.95E08	5.73E06

Regression coefficients
						Lower	Upper
		Coefficient	Std Err	t-value	p-value	limit	limit
	Constant	-63993.3047	9144.3428	-6.9981	0.0000	-82576.8329	-45409.7765
	Log(Units)	16653.5527	1438.3953	11.5779	0.0000	13730.3838	19576.7217

What is the regression equation, as taken directly from the output?
What kind of model does this represent (Linear, Logarithmics, Exponential, Power, Multiplicative)?
Convert the regression equation to standard form.

12.3. Answer the following questions for the regression output shown below.


Results of multiple regression for Log(Production)

Summary measures
	Multiple R	0.9772
	R-Square	0.9550
	Adj R-Square	0.9507
	StErr of Est	0.0598

ANOVA table
	Source	df	SS	MS	F	p-value
	Explained	2	1.5922	0.7961	222.9220	0.0000
	Unexplained	21	0.0750	0.0036

Regression coefficients
						Lower	Upper
		Coefficient	Std Err	t-value	p-value	limit	limit
	Constant	-0.0692	0.4351	-0.1591	0.8751	-0.9740	0.8355
	Log(Labor)	0.7689	0.1448	5.3087	0.0000	0.4677	1.0701
	Log(Capital)	0.2471	0.0640	3.8634	0.0009	0.1141	0.3801

What is the regression equation, as taken directly from the output?
What kind of model does this represent (Linear, Logarithmics, Exponential, Power, Multiplicative)?
Convert the regression equation to standard form.