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.
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 | Coef | SE Coef | T | ||||
Constant | 9.737 | 3.005 | 3.24 | ||||
X1 | 0.302 | 0.074 | 4.08 | ||||
X2 | -0.302 | 0.123 | -2.46 | ||||
X3 | 0.117 | -0.065 | -1.8 | ||||
X4 | 0.704 | 0.376 | 1.87 | ||||
X5 | -0.245 | -0.118 | 2.08 |
Analysis of Variance | ||||||||
Source | DF | SS | MS | F | ||||
Regression | 5 | 3710.00 | 742.00 | 14.64 | ||||
Residual Error | 54 | 2647.38 | 57.55 | |||||
Total | 59 | 6357.38 |
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? |
Samplen | |
Independent 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)RejectDo not RejectH0.(Click to select)AllNot allof the regression coefficients are zero. |
ForX1 | ForX2 | ForX3 | ForX4 | ForX5 |
H0: 1= 0 | H0: 2= 0 | H0: 3= 0 | H0: 4= 0 | H0: 5= 0 |
H1: 1 0 | H1: 2 0 | H1: 3 0 | H1: 4 0 | H1: 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.) |
RejectH0ift |
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 value | |
X1 | |
X2 | |
X3 | |
X4 | |
X5 |
e. | Which variable would you consider eliminating? |
Consider eliminating variables(Click to select)X3 and X4X1 and X4X2 and X3X3 and X5. |
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