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.

Question

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.

Quizplus · Accepted Answer

The Answer of 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.

A Chemist Was Interested in Examining the Effects of Four