Question

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. Predictor Constant X2 Coefficient 9.387 0.232 -1.214 -0.273 0.642 -0.060 SE Coefficient 3.069 0.204 0.584 0.424 0.362 0.028 p-value 0.010 0.000 0.028 0.114 0.001 0.112 3.059 1. 137 -2.079 -0.644 1.773 -2.143 x3 X4 Analysis of Variance Source DF SS Regression 5 2,364.50 Residual Error 53 2,436.07 Total 58 4,800.57 MSF P- 472.9 10.29 0.000 45.96 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.
PLEASE ROUND TO THE DECIMAL PLACES GIVEN.

Answer 1

Answer:-

Page one

Ho: Ⓡ1 R2 = 3By Bs : 0 VIS Hi: at least one ß is not equal to zesa from ANOVA F: 10.29. Freitical = F5, 83, 0.09 = 239 Reject Ho if F > 2-39 C-2) F Statistic = M SR rese = 10.29 = 472.9 45.96 Here F > Freitical = we Reject Ho. At least one regression coefficient not equal to zelo d-1) decision Rule for Ho: R150 Vis Hi! B180 Reject Ho if t,< - 2.002 t, < -2.002 or Oy , nesg , Reject if I titol to +2.002 te=2.002 t;> 2.002 +] = ]-137 for Ho: 82=0 wis Hi Beto Reject Ho if tal-2.002 tos 2.002 or . tes - 2-079 for - Ho: Pozzo uls Hi : B3 to Reject Ho if tzc -2.002 or ta> +2.002 +3=-0.644 for - for Ho by to vis Hi : Bu to Reject Ho if t4 c-2.002 Ho: Rs: 0 vis HiActo Reject Ho if tsc - 2.002 as t4> 2.002 +4 .993 : 1.773 ar ts> 2.002 its : -2.143

Page two

do 2) test statistic 4 - 1.137 Xa 4 - 2 0 79 X3 * -0.644 dr3) x4 of 1973 *s = -2.143 *: Reject Ho. y coefficient is not equal to zelo X2: Reject Hos) coefficient is not equal to zato, xz: Accept HO = coefficient is equal to zero X9: Reject Ho g coefficient is not equal to zeto. Xs: Accept ho g coefficient is equal to zebo.

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