Question
An experiment was conducted on a chemical process that produces a polymer. The four factors studied were temperature A, catalyst concentration B, time C, and
An experiment was conducted on a chemical process that produces a polymer. The four factors studied were temperature A, catalyst concentration B, time C, and pressure D. Two responses, molecular weight and viscosity, were observed. The design matrix and response data are
Std Order | Actual Run Order | A | B | C | D | Molecular Weight | Viscosity | Point Type |
1 | 14 | -1 | -1 | -1 | -1 | 3000 | 1610 | 1 |
2 | 9 | 1 | -1 | -1 | -1 | 3013 | 1725 | 1 |
3 | 13 | -1 | 1 | -1 | -1 | 2894 | 1748 | 1 |
4 | 8 | 1 | 1 | -1 | -1 | 3138 | 1875 | 1 |
5 | 3 | -1 | -1 | 1 | -1 | 3269 | 1587 | 1 |
6 | 11 | 1 | -1 | 1 | -1 | 3281 | 1754 | 1 |
7 | 18 | -1 | 1 | 1 | -1 | 3000 | 1725 | 1 |
8 | 17 | 1 | 1 | 1 | -1 | 3438 | 1863 | 1 |
9 | 6 | -1 | -1 | -1 | 1 | 3000 | 1610 | 1 |
10 | 7 | 1 | -1 | -1 | 1 | 2988 | 1754 | 1 |
11 | 2 | -1 | 1 | -1 | 1 | 2875 | 1725 | 1 |
12 | 10 | 1 | 1 | -1 | 1 | 3150 | 1725 | 1 |
13 | 4 | -1 | -1 | 1 | 1 | 3281 | 1633 | 1 |
14 | 19 | 1 | -1 | 1 | 1 | 3288 | 1714 | 1 |
15 | 15 | -1 | 1 | 1 | 1 | 3125 | 1725 | 1 |
16 | 20 | 1 | 1 | 1 | 1 | 3388 | 1840 | 1 |
17 | 1 | 0 | 0 | 0 | 0 | 3144 | 1725 | 0 |
18 | 5 | 0 | 0 | 0 | 0 | 3125 | 1679 | 0 |
19 | 16 | 0 | 0 | 0 | 0 | 3000 | 1754 | 0 |
20 | 12 | 0 | 0 | 0 | 0 | 3094 | 1725 | 0 |
In Natural Values the factor levels are:
A (degrees C) Low =100, High =120
B (%) Low =4% High =8%
C (minutes Low =20, High =30
D (psi) Low =60, High =75
a report to management of your analysis and recommendations. For both response variables it is expected that you create a model equation, assess if the model is linear (give reason) and assess the adequacy of the model. If the goal is to maximize the Molecular Weight, where would you recommend that the inputs be set - stated in natural values.Clearly state all of your conclusions in practical terms.
using minitab
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