The following regression output was obtained from a study of architectural firms
ID: 3228527 • Letter: T
Question
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. X_1 is the number of architects employed by the company. X_2 is the number of engineers employed by the company. X_3 is the number of years involved with health care projects. X_4 is the number of states in which the firm operates. X_5 is the percent of the firm's work that is health care-related. a. Write out the regression equation. (Round your answers to 3 decimal places. Negative amounts should be indicated by a minus sign.) b. How large is the sample? How many independent variables are there? State the decision rule for .05 significance level: H_0: beta_1 = beta_2 = beta_3 = beta_4 = beta_5 = 0: H_1: Not all beta's are 0. (Round your answer to 2 decimal places.) Compute the value of the F statistic. (Round your answer to 2 decimal places.)Explanation / Answer
a. Y=9.487+0.492X1-0.492X2+0.307X3+0.894X4-0.435X5
b.
n=5
independant variable =k=5
c-1
Reject H.0 When F>2.396
c-2
F statistic=14.39