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Chapter 14 Question #8 The following regression output was obtained from a study of architectural firms. The dependent variable is the total amount of fees in millions of dollars. Predictor Cock SE Cook 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 OF SS MS 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 a. Write out the regression equation b. How large is the sample? How many independent variables are there? c. Conduct a global test of hypothesis to see if any of the set of regression coefficients could be different from 0. Use the .05 significance level. What is your conclusion? d. Conduct a test of hypothesis for each independent variable. Use the .05 significance level. Which variable would you consider eliminating first? e. Outline a strategy for deleting independent variables in this case