A chemical product is produced in a pressure vessel. A factorial experiment is carried out to study
Question:
A chemical product is produced in a pressure vessel. A factorial experiment is carried out to study the factors influencing this product's Viscosity (the response/output). Five factors are tested, and each factor is present at two levels. The design matrix and response data are shown in the attached file. It is required to maximize viscosity,
NOTE: Each student has an individual data set within the workbook assigned. You must use the data assigned to you.
In Natural Values, the factor levels are:
Factor 1 Low =100, High =120
Factor 2 Low =4% High =8%
Factor 3 Low =20, High =30
Factor 4 Low =60, High =75
Factor 5 Low =0.5, High =0.8
Analyze the data following the recipe, and make sure to:
Submit a PDF file,
If you are assigned an Odd Data Set, use a bottom-up approach to reduce the model; if assigned an EVEN Data Set, use a top-down approach to reduce the model.
Make sure to provide recommended process configurations to achieve objectives in natural (actual) units
| L3 | M3 | N3 | O3 | P3 | Output |
| 1 | 1 | -1 | 1 | -1 | 15.99 |
| -1 | -1 | 1 | 1 | -1 | 11.985 |
| 1 | -1 | 1 | 1 | -1 | 16.98 |
| -1 | 1 | 1 | 1 | -1 | 13.975 |
| 1 | 1 | 1 | 1 | -1 | 19.97 |
| -1 | -1 | -1 | -1 | 1 | 10.965 |
| 1 | -1 | -1 | -1 | 1 | 13.96 |
| -1 | 1 | -1 | -1 | 1 | 12.955 |
| 1 | 1 | -1 | -1 | 1 | 12.95 |
| -1 | -1 | 1 | -1 | 1 | 10.945 |
| 1 | -1 | 1 | -1 | 1 | 14.94 |
| -1 | 1 | 1 | -1 | 1 | 17.935 |
| 1 | 1 | 1 | -1 | 1 | 23.93 |
| -1 | -1 | -1 | 1 | 1 | 12.925 |
| 1 | -1 | -1 | 1 | 1 | 22.92 |
| -1 | 1 | -1 | 1 | 1 | 19.915 |
| 1 | 1 | -1 | 1 | 1 | 18.91 |
| -1 | -1 | 1 | 1 | 1 | 21.905 |
| 1 | -1 | 1 | 1 | 1 | 20.9 |
| -1 | 1 | 1 | 1 | 1 | 20.895 |
| 1 | 1 | 1 | 1 | 1 | 22.89 |
| -1 | -1 | -1 | -1 | -1 | 9.885 |
| 1 | -1 | -1 | -1 | -1 | 12.88 |
| -1 | 1 | -1 | -1 | -1 | 11.875 |
| 1 | 1 | -1 | -1 | -1 | 20.87 |
| -1 | -1 | 1 | -1 | -1 | 8.865 |
| 1 | -1 | 1 | -1 | -1 | 20.86 |
| -1 | 1 | 1 | -1 | -1 | 14.855 |
| 1 | 1 | 1 | -1 | -1 | 21.85 |
| -1 | -1 | -1 | 1 | -1 | 11.845 |
| 1 | -1 | -1 | 1 | -1 | 13.84 |
| -1 | 1 | -1 | 1 | -1 | 16.835 |
| 1 | 1 | -1 | 1 | -1 | 19.83 |
| -1 | -1 | 1 | 1 | -1 | 16.825 |
| 1 | -1 | 1 | 1 | -1 | 14.82 |
| -1 | 1 | 1 | 1 | -1 | 19.815 |
| 1 | 1 | 1 | 1 | -1 | 16.81 |
| -1 | -1 | -1 | -1 | 1 | 17.805 |
| 1 | -1 | -1 | -1 | 1 | 20.8 |
| -1 | 1 | -1 | -1 | 1 | 16.795 |
| 1 | 1 | -1 | -1 | 1 | 13.79 |
| -1 | -1 | 1 | -1 | 1 | 13.785 |
| 1 | -1 | 1 | -1 | 1 | 18.78 |
| -1 | 1 | 1 | -1 | 1 | 22.775 |
| 1 | 1 | 1 | -1 | 1 | 20.77 |
| -1 | -1 | -1 | 1 | 1 | 20.765 |
| 1 | -1 | -1 | 1 | 1 | 22.76 |
| -1 | 1 | -1 | 1 | 1 | 19.755 |
| 1 | 1 | -1 | 1 | 1 | 14.75 |
| -1 | -1 | 1 | 1 | 1 | 22.745 |
| 1 | -1 | 1 | 1 | 1 | 17.74 |
| -1 | 1 | 1 | 1 | 1 | 24.735 |
| 1 | 1 | 1 | 1 | 1 | 22.73 |
| -1 | -1 | -1 | -1 | -1 | 16.725 |
| 1 | -1 | -1 | -1 | -1 | 8.72 |
| -1 | 1 | -1 | -1 | -1 | 9.715 |
| 1 | 1 | -1 | -1 | -1 | 19.71 |
| -1 | -1 | 1 | -1 | -1 | 16.705 |
| 1 | -1 | 1 | -1 | -1 | 19.7 |
| -1 | 1 | 1 | -1 | -1 | 16.695 |
| 1 | 1 | 1 | -1 | -1 | 22.69 |
| -1 | -1 | -1 | 1 | -1 | 13.685 |
| 1 | -1 | -1 | 1 | -1 | 11.68 |
| -1 | 1 | -1 | 1 | -1 | 19.675 |
| 1 | 1 | -1 | 1 | -1 | 15.67 |
| -1 | -1 | 1 | 1 | -1 | 15.665 |
| 1 | -1 | 1 | 1 | -1 | 13.66 |
| -1 | 1 | 1 | 1 | -1 | 16.655 |
| 1 | 1 | 1 | 1 | -1 | 20.65 |
| -1 | -1 | -1 | -1 | 1 | 11.645 |
| 1 | -1 | -1 | -1 | 1 | 16.64 |
| -1 | 1 | -1 | -1 | 1 | 10.635 |
| 1 | 1 | -1 | -1 | 1 | 13.63 |
| -1 | -1 | 1 | -1 | 1 | 20.625 |
| 1 | -1 | 1 | -1 | 1 | 12.62 |
| -1 | 1 | 1 | -1 | 1 | 20.615 |
| 1 | 1 | 1 | -1 | 1 | 18.61 |
| -1 | -1 | -1 | 1 | 1 | 10.605 |
| 1 | -1 | -1 | 1 | 1 | 19.6 |
| -1 | 1 | -1 | 1 | 1 | 20.595 |
| 1 | 1 | -1 | 1 | 1 | 15.59 |
| -1 | -1 | 1 | 1 | 1 | 16.585 |
| 1 | -1 | 1 | 1 | 1 | 19.58 |
| -1 | 1 | 1 | 1 | 1 | 24.575 |
| 1 | 1 | 1 | 1 | 1 | 21.57 |
| -1 | -1 | -1 | -1 | -1 | 6.565 |
| 1 | -1 | -1 | -1 | -1 | 10.56 |
| -1 | 1 | -1 | -1 | -1 | 13.555 |
| 1 | 1 | -1 | -1 | -1 | 17.55 |
| -1 | -1 | 1 | -1 | -1 | 10.545 |
| 1 | -1 | 1 | -1 | -1 | 19.54 |
| -1 | 1 | 1 | -1 | -1 | 13.535 |
| 1 | 1 | 1 | -1 | -1 | 16.53 |
| -1 | -1 | -1 | 1 | -1 | 8.525 |
| 1 | -1 | -1 | 1 | -1 | 15.52 |
| -1 | 1 | -1 | 1 | -1 | 13.515 |
Expert Answer:
Probability And Statistics For Engineering And The Sciences
ISBN: 9781305251809
9th Edition
Authors: Jay L. Devore
