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A chemist was interested in examining the effects of four chemicals on a chemical process yield. Let , i = 1, 2, 3, 4, represent the effects of the four chemicals, respectively and y be the process yield. The chemist's first instinct was to include each of the chemicals in the equation in a linear fashion. After the initial analysis, the chemist decided to remove chemicals 2 and 3 from the model.
Complete model: Reduced model:
Use the statistical software output above to test whether the reduced model is adequate at the 0.05 level of significance.
Test Statistic:
F = ______________
Reject Region:
Reject if F > ______________
Conclusion: ______________
There ______________ evidence to indicate that at least one of or
is not 0.
The reduced model ______________ adequate.
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