ISE 525 Design of Experiments Homework #1
Spring Semester 2021 Due: Thursday, February 4
Use the data below to calculate the requested regression results by hand
y x1 x2 x3
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107.0 1 1 1
75.8 9 3 -1
66.6 9 3 -3
70.4 1 -1 -3
59.5 9 -3 3
105.0 1 -1 3
94.6 1 1 -1
81.5 1 -1 -1
88.0 1 1 -3
96.4 9 3 3
29.2 9 -3 -3
46.0 9 -3 -1
107.2 1 1 3
58.9 9 -3 1
97.9 1 -1 1
79.7 9 3 1
1) Estimate the parameters of a regression model that relates x1, x2, and x3 to y.
2) Test for the significance of the regression model using the analysis of variance. Interpret the test at the 5% significance level. What is your conclusion?
3) Test for the significance of the individual coefficients using t tests.
Interpret the tests at the 5% significance level. What are your conclusions?
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