The following regression output was obtained from a study of architectural firms. The dependent variable is...

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Basic Math

The following regression output was obtained from a study ofarchitectural firms. The dependent variable is the total amount offees in millions of dollars.
PredictorÂ Â Â Â Â
Coef
SE CoefÂ Â Â Â Â Â
TÂ Â Â Â Â
P
Constant
7.987
2.967
2.69
-
X1
0.12242
0.03121
3.92
0.0000
X2
-0.12166
0.05353
-2.27
0.028
X3
-0.06281
0.03901
-1.61
0.114
X4
0.5235
0.1420
3.69
0.001
X5
-0.06472
0.03999
-1.62
0.112
Analysis of Variance
SourceÂ Â Â Â Â Â Â Â Â
DF
SSÂ Â Â Â
MSÂ Â Â Â Â
FÂ Â Â Â
P
Regression
5
3710.00
742.00
12.89
0.000
Residual Error
46
2647.38
57.55
Total
51
6357.38
X1 - # of architects employed by the company
X2 - # of engineers employed by the company
X3 - # of years involved with health care projects
X4 - # of states in which the firm operates
X5 - % of the firms work that is health care-related
Write out the regression equation
How large is the sample? How many independent variables arethere?
Conduct a global test of hypothesis to see if any of the set ofregression coefficients could be different from 0. Use the .05significance level. What is your conclusion?
Conduct a test of hypothesis for each independent variable. Usethe .05 significance level. Which variable would you considereliminating first?
Outline a strategy for deleting independent variables in thiscas

Answer & Explanation Solved by verified expert

4.2 Ratings (853 Votes)

The regression equation will beAs the total DF is 51 So the sample size is 51 There are 5independent variables which are given below X1 ofarchitects employed by the companyX2 of engineers employed by See Answer

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PredictorÂ Â Â Â Â	Coef	SE CoefÂ Â Â Â Â Â	TÂ Â Â Â Â	P
Constant	7.987	2.967	2.69	-
X1	0.12242	0.03121	3.92	0.0000
X2	-0.12166	0.05353	-2.27	0.028
X3	-0.06281	0.03901	-1.61	0.114
X4	0.5235	0.1420	3.69	0.001
X5	-0.06472	0.03999	-1.62	0.112

Analysis of Variance
SourceÂ Â Â Â Â Â Â Â Â	DF	SSÂ Â Â Â	MSÂ Â Â Â Â	FÂ Â Â Â	P
Regression	5	3710.00	742.00	12.89	0.000
Residual Error	46	2647.38	57.55
Total	51	6357.38