[SOLVED] CS ISE 525 Design of Experiments Homework #1

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
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?