A Chemist Was Interested in Examining the Effects of Three

question 21

Short Answer

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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Definitions:

Behavioural Perspective

An approach in psychology that focuses on observable behaviors rather than internal states, emphasizing the learning processes that shape behavior.

Reinforcement

In psychology, a process that increases the likelihood of a behavior by adding or removing stimuli following the behavior.

Superego

In psychoanalytic theory, the part of a person's mind that acts as a self-critical conscience, reflecting social standards learned from parents and teachers.

Overcompensating

Making up for a deficiency or failure in one area by exerting extra effort or demonstrating excessive behavior in another area.