Question

MINITAB was used to fit the model to n = 15 data points.
y = β0 + β1x1 + βb2x2 + β3x1x2 + ε
The resulting printout is shown below.
a. What is the prediction equation for the response surface?
b. Describe the geometric form of the response surface of part a.
c. Plot the prediction equation for the case when x2 = 1. Do this twice more on the same graph for the cases when x2 = 3 and x2 = 5.
d. Explain what it means to say that x1 and x2 interact.
Explain why the graph you plotted in part c suggests that x1 and x2 interact.
e. Specify the null and alternative hypotheses you would use to test whether x1 and x2 interact.
f. Conduct the hypothesis test of part e, using α = .01.


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  • CreatedMay 20, 2015
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