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  3. the following regression output was obtained from

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.

Predictor     

Coef

SE Coef      

T     

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

Source         

DF

SS    

MS     

F    

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

  1. Write out the regression equation
  2. How large is the sample? How many independent variables arethere?
  3. 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?
  4. Conduct a test of hypothesis for each independent variable. Usethe .05 significance level. Which variable would you considereliminating first?
  5. Outline a strategy for deleting independent variables in thiscas

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