The following regression output was obtained from a study of architectural firms

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.

  

  

  

  

Write out the regression equation. (Round your answers to 3 decimal places. Negative amounts should be indicated by a minus sign.)

  

  

  

State the decision rule for .05 significance level: H0: 1 = 2 = 3 =4 =5 =0; H1: Not all 's are 0. (Round your answer to 2 decimal places.)

  

  

  

  

Can we conclude that the set of regression coefficients could be different from 0? Use the .05 significance level.

  

  

State the decision rule for .05 significance level. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.)

Compute the value of the test statistic. (Round your answers to 2 decimal places. Negative amounts should be indicated by a minus sign.)

  

  

Predictor Coef SE Coef T     Constant 11.487 2.514 4.57 X1 0.472 0.372 1.27 X2 -0.472 0.180 -2.62 X3 0.287 -0.111 -2.59 X4 0.874 0.270 3.24 X5 -0.415 0.211 -1.97

Explanation / Answer

a) y^ = 11.487 + 0.472 *x1 - 0.472*x2 + 0.287 *x3 + 0.874 *x4 -0.415 *x5
b) n-1 = 49
n = 50
k = 5
c-1) F > 2.42704     (DF1 = 5 ,DF2 = 44 , alpha = 0.05)
c-2) F = 16.39

c-3)
as TS > critical
reject Ho    

d-1)
t-critical = 2.015368
t > 2.01536 , ot t < -2.015368
d-2)
x1   1.27
x2   -2.62
x3   -2.59
x4   3.24
x5   -1.97

e) x1 and x5

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