000 Sprint 953 AM eztomheducationcom 94 The following regre

..000 Sprint 9:53 AM ezto.mheducation.com 94% | 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 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. X4 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 amounts should be indicated by a minus sign) How large is the sample? How many independent variables are there? c. State the decision rule for .05 significance level: H0 1-pe\" 3 4 5 =0: HI: Not a \'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 1. State the decision rule for .05 significance level. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.)

Solution

a) Y = 9.487 + 0.492X₁ - 0.452X₂ + 0.307X₃ + 0.894X₄ - 0.0.435X₅

b) sample size n = 57; independant variables k =5

c-1) F value - 6.61

c-2 ) computed value of F = 54.39

c-3 ) regressions coefficients are not 0\'s

d-1) reject H₀ if t <-t critical value or t > t critical value

d-2 ) X₁ = 4.25

        X₂ = -2.65

        X₃ = -1.98

       X₄ = -1.99

       X₅ = 4.07