In: Statistics and Probability
A study was conducted on a high-pressure inlet fogging method for a gas turbine engine. Researchers considered two models. Partial output is provided below.
Source |
Df |
SS |
MS |
F |
Regression |
5 |
148526859 |
29705372 |
94 |
Error |
61 |
19370350 |
317547 |
|
Total |
??? |
167897208 |
Source |
Df |
SS |
MS |
F |
Regression |
??? |
142586570 |
47528857 |
??? |
Error |
63 |
25310639 |
401756 |
|
Total |
??? |
167897208 |
Answer the following questions rounding off at the nearest integer.
The number of observations collected for the study is equal to
The number of predictors considered in the reduced model is equal to
The F-test for global utility of the reduced model is equal to
Results suggest that the complete model provides additional information compared to the reduced model. In fact, the F-test for nested models is equal to which is greater than the rejection region F(alpha =0.05) with numerator degrees of freedom equal to and denominator degrees of freedom equal to .
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