Question:
Please provide a step-by-step solution to the homework question, including the required work to arrive at the solution and any Excel documents and plotted graphs. 2. Xl, X2, X3, X4, X5, X1X2, and X1X3 effects are studied at two levels to maximize Y.
a. Analyze data using response tables. Plot main and interaction effects.
b. Construct the appropriate math model using the response table & Excel.
c. Comment on the goodness of the math model. (Is this a good math model? Can you tell? Why or why not?)
d. What can be done (if anything) to come up with a better answer for part c?
|
|
X1
|
X2
|
X3
|
X4
|
X5
|
Y
|
|
1
|
-1
|
-1
|
-1
|
-1
|
-1
|
136
|
|
2
|
-1
|
-1
|
1
|
1
|
1
|
145
|
|
3
|
-1
|
1
|
-1
|
1
|
1
|
155
|
|
4
|
-1
|
1
|
1
|
-1
|
-1
|
149
|
|
5
|
1
|
-1
|
-1
|
-1
|
1
|
143
|
|
6
|
1
|
-1
|
1
|
1
|
-1
|
126
|
|
7
|
1
|
1
|
-1
|
1
|
-1
|
125
|
|
8
|
1
|
1
|
1
|
-1
|
1
|
1381
|