MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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 | Coefficient | SE Coefficient | t | p-value | ||||||||
| Constant | 7.096 | 3.245 | 2.187 | 0.010 | ||||||||
| x1 | 0.222 | 0.117 | 1.897 | 0.000 | ||||||||
| x2 | -1.024 | 0.562 | -1.822 | 0.028 | ||||||||
| x3 | -0.337 | 0.192 | -1.755 | 0.114 | ||||||||
| x4 | 0.623 | 0.263 | 2.369 | 0.001 | ||||||||
| x5 | -0.058 | 0.029 | -2.000 | 0.112 | ||||||||
| Analysis of Variance | ||||||||||
| Source | DF | SS | MS | F | p-value | |||||
| Regression | 5 | 2,009.28 | 401.9 | 7.33 | 0.000 | |||||
| Residual Error | 50 | 2,741.54 | 54.83 | |||||||
| Total | 55 | 4,750.81 | ||||||||
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.
1 and 2 questions dont answer but C1,C2,C3 are mandatory
- Write out the regression equation. (Negative answers should be indicated by a minus sign. Round your answers to 3 decimal places.)
- How large is the sample? How many independent variables are there?
-
c-1. At the 0.05 significance level, state the decision rule to test: H0: β1 = β2 = β3 =β4 = β5 = 0; H1: At least one β is 0. (Round your answer to 2 decimal places.)
---------------H0--------------------regression coefficient is not equal to 0
Reject Atleast one
Fail to Reject No evidence that any
Above you can see options for blanks
-
c-2. Compute the value of the F statistic. (Round your answer to 2 decimal places.)
F value is
-
c-3. What is the decision regarding H0: β1 = β2 = β3 = β4 = β5 = 0?
-----------------H0--------------Regression coefficient is not equal to zero
Reject Atleast one
Fail to reject No evidence that any
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