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A chemist was interested in examining the effects of three chemicals on a chemical process yield. Let , i = 1, 2, 3, represent the effects of the three chemicals, respectively and y be the process yield. The following output was generated using statistical software.
Find the least squares regression equation.
= _______ + _______
+ _______
+ _______
.
Test the usefulness of the model at the 0.05 level of significance.
The null and alternative hypotheses of interest are: vs.
Test statistic:
F = ______________
Rejection region:
Reject H0 if F > ______________
Conclude:
______________
______________ of the predictor variables (one of the three chemicals) is contributing significant information for the prediction of the chemical process yield.
Which variable, if any, should be removed from the model if a 0.05 level of significance is desired?
______________
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