Question
The following regression output was obtained from a study of architectural firms. The dependent variable is the totalamountof fees in millions of dollars. Predictor Coef
| The following regression output was obtained from a study of architectural firms. The dependent variable is the totalamountof fees in millions of dollars. |
| Predictor | Coef | SE Coef | T | ||||
| Constant | 7.987 | 2.969 | 2.69 | ||||
| X1 | 0.122 | 0.031 | 3.94 | ||||
| X2 | -0.122 | 0.054 | -2.26 | ||||
| X3 | -0.063 | 0.039 | -1.62 | ||||
| X4 | 0.524 | 0.142 | 3.69 | ||||
| X5 | -0.065 | 0.040 | -1.63 |
| Analysis of Variance | ||||||||
| Source | DF | SS | MS | F | ||||
| Regression | 5 | 3710.00 | 742.00 | 12.89 | ||||
| Residual Error | 46 | 2647.38 | 57.55 | |||||
| Total | 51 | 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 withhealth careprojects. |
| X4is the number of states in which the firm operates. |
| X5is thepercentof the firm's work that is health carerelated. |
| a. | Write out the regression equation.(Round your answers to 3 decimalplaces. 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 youranswerto 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)Do not RejectRejectH0.(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 theteststatistic.(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 X5X1 and X2X2 and X4X4 and X5. |
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High School Math 2012 Common-core Algebra 2 Grade 10/11
Authors: Savvas Learning Co
Student Edition
9780133186024, 0133186024
