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.

PredictorCoefSE CoefTConstant9.4872.2644.19X₁0.3620.0874.16X₂-0.3620.144-2.51X₃0.177-0.096-1.84X₄0.7640.1943.94X₅-0.3050.164-1.86

Analysis of VarianceSourceDFSSMSFRegression53710.00742.0014.39Residual Error562647.3857.55Total616357.38

X₁is the number of architects employed by the company.X₂is the number of engineers employed by the company.X₃is the number of years involved with health care projects.X₄is the number of states in which the firm operates.X₅is the percent of the firm's work that is health carerelated.

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

=+X₁+X₂+X₃+X₄+X₅.

b.How large is the sample? How many independent variables are there?

SamplenIndependent variablesk

c-1.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.)

RejectH₀ifF>

c-2.Compute the value of theFstatistic.(Round your answer to 2 decimal places.)

Computed value ofFis

c-3.Can we conclude that the set of regression coefficients could be different from 0? Use the .05 significance level.

(Click to select)

Reject

Do not Reject

H₀.(Click to select)

Not all

All

of the regression coefficients are zero.

ForX₁ForX₂ForX₃ForX₄ForX₅H₀: ₁= 0H₀: ₂= 0H₀: ₃= 0H₀: ₄= 0H₀: ₅= 0H₁: ₁ 0H₁: ₂ 0H₁: ₃ 0H₁: ₄ 0H₁: ₅ 0

d-1.State the decision rule for .05 significance level.(Negative amountsshould be indicated by a minus sign.Round your answers to 3 decimal places.)

RejectH₀iftt>.

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

t valueX₁X₂X₃X₄X₅

e.Which variable would you consider eliminating?

Consider eliminating variables(Click to select)

X3 and X5

X1 and X2

X2 and X4

X4 and X5

.