36.00 points The following regression the total amount of fees in millions of do

Question

36.00 points The following regression the total amount of fees in millions of dollars output was obtained from a study of architectural firms. The dependent variable is Constant10.7372.9675.44 0.242 0.03121 4.04 -0242 0.05353 2.39 0.057 003901 1.73 0.644 0.1420 3.81 -0.185 0.03999 174 alysis of Variance Source Regression Residual Error 52 2647.38 57.55 Total DF 5 3710.00 742.00 15.64 SS MSF MS F 57 6357.38 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 X4 is the number of states in which the firm operates Xs 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? Sample n Independent variables k 0? Use the 05 c-3) Can we conclude that the set of regression coefficients could be different from

Explanation / Answer

a] regression equation is,

yhat = 10.737 + 0.242 x1 -0.242 x2 + 0.057 x3 + 0.644 x4 -0.185 x5

b ] sample n = total df = 57

    independent variables k = 5

c] H0: beta1=0 vs H1: beta1 is not equal to 0

d1] reject H0 if t > t (alpha/2),n-2

d2] x1= 4.04 , x2= -2.39 ,x3 =-1.73 , x4 =3.81 , x5=-1.74

d3] variable x2

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