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.

PredictorCoefficientSE Coefficienttp-valueConstant9.4033.0803.0530.010x₁0.2130.2960.7200.000x₂1.1980.5832.0550.028x₃0.2850.0555.1820.114x₄0.6750.3791.7810.001x₅0.0510.0212.4290.112

Analysis of VarianceSourceDFSSMSFp-valueRegression52,308.58461.77.890.000Residual Error452,632.4858.50Total504,941.06

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.

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

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

1. c-1.At the 0.05 significance level, state the decision rule to test:H₀: ₁= ₂= ₃=₄= ₅= 0;H₁: At least one is 0.(Round your answer to 2 decimal places.)

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

1. c-3.What is the decision regardingH₀: ₁= ₂= ₃= ₄= ₅= 0?

1. d-1.State the decision rule for each independent variable. Use the 0.05 significance level.(Round your answers to 3 decimal places.)

Forx₁Forx₂Forx₃Forx₄Forx₅H₀: ₁= 0H₀: ₂= 0H₀: ₃= 0H₀: ₄= 0H₀: ₅= 0H₁: ₁ 0H₁: ₂ 0H₁: ₃ 0H₁: ₄ 0H₁: ₅ 0

1. d-2.Compute the value of the test statistic.(Negative answers should be indicated by a minus sign. Round your answers to 3 decimal places.)

1. d-3.For each variable, make a decision about the hypothesis that the coefficient is equal to zero.