Exercise 14-8 (Algo) (LO14-3) 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 Constant Coefficient 7.267 SE Coefficient 3.000 t p-value 2.422 0.010 x1 0.237 0.220 1.077 0.000 x2 -1.162 0.554 -2.097 0.028 x3 -0.130 0.408 -0.319 0.114 x4 0.538 0.371 1.450 0.001 x5 -0.038 0.030 -1.267 0.112 Analysis of Variance Source DF Regression Residual Error Total SS 5 2,385.91 42 2,212.82 52.69 47 4,598.73 MS 477.2 F p-value 9.06 0.000 x Is the number of architects employed by the company. X2 Is the number of engineers employed by the company. X3 Is the number of years involved with health care projects. ** Is the number of states in which the firm operates. X, Is the percent of the firm's work that is health care-related. a. Write out the regression equation. (Negative answers should be Indicated by a minus sign. Round your answers to 3 decimal places.) x1 + x2+ b. How large is the sample? How many Independent variables are there? Sample n Independent variables k x3+ x5 c-1. At the 0.05 significance level, state the decision rule to test: H: B = =B3 B4 = s = 0; H: At least one is not O. (Round your answer to 2 decimal places.) Reject Ho if F> c-2. Compute the value of the Fstatistic. (Round your answer to 2 decimal places.) Computed value of F c-3. What is the decision regarding H: = = 3 = = s = 0? Ho regression coefficient is not equal to zero. d-1. State the decision rule for each Independent variable. Use the 0.05 significance level. (Round your answers to 3 decimal places.) For x1 For x2 For x4 For x5 Hg: B1 = 0 H1: B1 0 Hg: B = 0 H1: B20 For x3 He: B3 = 0 He: B4 = 0 He: B5 = 0 H: B3 0 Hai Ba H1: B5 0 Reject Ho if t < or t> d-2. Compute the value of the test statistic. (Negative answers should be indicated by a minus sign. Round your answers to 3 decimal places.) x1 tvalue x2 X3 x4 X5 d-3. For each variable, make a decision about the hypothesis that the coefficient is equal to zero. X1 x2 x3 x4 x5