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

ID: 3156275 • 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.

  

  

  

  

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.

  

H0. of the regression coefficients are zero.

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.

Explanation / Answer

a) Yhat=10.487+0.402 X1-0.402 X2+0.217 X3+0.804 X4-0.345 X5

b) DF(Regresion)=k-1=5, k=6

DF(Total)=n-1=52, n=53

c.1. The critical F for df(6,53), alpha=0.05 is 2.28.

Reject H0, if F>2.28

c2. 15.39

c3. Test statistic falls in critical region. Reject null hypothesis. Conclude that set of regression coefficients could bedifferent from 0.

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