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Mountain States Potato Company sells a by-product of its potato-processing operation, called a filter cake, to area feedlots as cattle feed. The business problem
Mountain States Potato Company sells a by-product of its potato-processing operation, called a filter cake, to area feedlots as cattle feed. The business problem faced by the feedlot owners is that the cattle are not gaining weight as quickly as they once were. The feedlot owners believe that the root cause of the prob- lem is that the percentage of solids in the filter cake is too low. Historically, the percentage of solids in the filter cakes ran slightly above 12%. Lately, however, the solids are running in the 11% range. What is actually affecting the solids is a mystery, but something has to be done quickly. Individuals involved in the process were asked to identify variables that might affect the percentage of solids. This review turned up the six variables (in addition to the percentage of solids) listed in the right column. Data collected by monitoring the process several times daily for 20 days are stored in Potato. 1. Thoroughly analyze the data and develop a regression model to predict the percentage of solids. C1 C2 C3 C4 C5 C6 C7 pH Lower Pr. Upper Pr. Cake Thi. Varidrive. Drum Sp. Solids 3.7 13 14 0.250 33.00 9.7 3.8 17 18 0.875 30.43 2 9.4 10.5 3.8 14 15 0.500 34.00 3 10.9 3.9 14 14 0.500 34.00 4. 11.6 4.3 17 18 0.375 6. 36.24 6. 10.9 4.2 16 17 0.500 31.76 11.0 4.3 16 19 0.375 34.00 8 10.7 3.9 15 16 0.375 6 32.13 9 11.8 3.6 8. 8. 0.375 37.00 10 9.7 4.0 18 18 0.500 6. 36.00 11 11.6 4.0 12 13 0.313 5. 45.00 12 10.9 3.9 15 15 0.500 5. 50.00 13 10.0 3.8 17 18 0,625 5. 46.91 14 10.3 3.8 13 14 0.500 4 57.50 15 10.1 3.6 17 17 0.625 4. 60.40 16 9.9 3.8 17 18 0.500 4. 53.14 17 9.5 3.5 17 18 0.625 6. 34.40 18 10.5 3.8 15 17 0.500 33.96 19 10.8 3.9 15 17 0.750 6 35.00 20 10.4 3.9 14 15 0.500 35.00 21 10.9 4.0 15 16 0.500 34.00 22 11.2 4.4 17 19 0.375 6 34.00 23 9.5 3.8 17 17 0.500 6. 33.49 24 10.7 3.9 15 17 0.500 33.38 25 10.1 3.8 15 17 0.500 41.00 6. 6. 6. C4 C5 C6 C7 C1 C2 C3 Lower Pr.. Upper Pr. Cake Thi. Varidrive.. Drum Sp. Solids pH 17 0.500 6 41.00 10.1 3.8 15 25 17 0.500 36.00 10.5 3.8 17 26 10.9 4.0 15 17 0.250 34.00 27 15.5 4.3 13 15 0.625 41.00 28 13.1 4.0 17 17 0.500 35.00 29 30 11.0 4.0 14 15 0.375 36.00 31 12.5 4.2 15 17 0.313 37.72 32 11.7 4.2 14 14 0.250 9. 36.00 33 11.9 4.4 15 16 0.375 36.52 34 11.7 3.4 8. 10 0.313 6. 38.08 35 17.8 4.3 12 12 0.313 6. 38.00 36 11.8 4.5 14 15 0.250 33.00 37 10.0 3.7 12 13 0.250 48.00 38 10.3 3.7 15 15 0.500 48.00 39 9.8 3.8 14 15 0.500 47.24 40 10.0 3.7 13 14 0.500 6. 37.00 41 10.6 4.1 14 15 0.500 6. 33.70 42 11.2 3.9 13 14 0.375 38.26 43 10.9 3.7 13 14 0.313 38.00 44 11.0 4.1 13 14 0.375 45 37,00 11.0 4.1 14 15 0.375 46 38.00 11.7 4.5 14 14 0.250 47 6. 36.26 11.8 4.4 13 14 0.250 48 9. 37.45 12.0 4.2 13 13 49 0.375 6. 38.00 11.8 4.6 14 14 0.375 9. 36.90 to C1 C2 C3 C4 C5 C6 C7 ca Solids pH Lower Pr.. Upper Pr.. Cake Thi.. Varidrive.. Drum Sp.. 49 11.8 4.6 14 14 0.375 6. 36.90 50 11.1 4.0 14 15 0.500 37.00 51 11.6 3.9 14 14 0.500 6 37.50 52 11.0 4.0 14 15 0.500 36.00 53 11.2 3.9 15 15 0.313 35.00 54 11.0 4.2 14 0.375 6 37.00 14
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