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AIS 4G 19:11 ezto.mheducation.com * 94%- The following regression output was obt

ID: 3306996 • Letter: A

Question

AIS 4G 19:11 ezto.mheducation.com * 94%- The following regression output was obtained from a study o architectural firms. The dependent variable is the total amount of fees in millions of dollars X1 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. X is the number of states in which the firm operates x5 is the percent of the firm's work that is health care-related. " Write out the regression equation. (Round your answers to 3 decimal places. Negative answers should be indicated by a minus sign.) How large is the sample? How many independent variables are there? ct State the decision rule for .05 significance level: H0: 1-p2 = 3 4s-o: H1: Not all 's are 0, (Round your answer to 2 decimal places.) Compute the value of the F statistic. (Round your answer to 2 decimal places) e Can we conclude that the set of regression coefficients could be different from 0? Use the 05 significance level. o of the regression State the decision rule for.05 significance level. (Round your answers to 3 decimal places 1 Compute the value of the test statistic. (Round your answers to 2 decimal places. Negative answers should be indicated by a

Explanation / Answer

a) coefficient of X2 is -1.120 not -0.112

d-1) df= n-k-1 = 46

critical value = 2.013

hence reject Ho, if t < -2.013 or t > 2.013

d2)

t-value is already given in first table 4th column (header t)

x1 = 3.295 {it is blurrd}

x2 = -2.27

x3 = -1.650 (see the table as blurrred}

x4 = 3.69

x5 = -1.62/-1.82 (see the table as blurrred}

d-3)

when p-value < alpha (0.05)

the variable is significant

if p-value > alpha

we may remove

here p-value of x3 (0.114 ) and x5 (0.112) > 0.05

hence we can remove x3 and x5


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