1. In chemical plants, the time to complete a particular filtration cycle is an important characteristic. Seven factors were selected for study: A: Water supply town reservoir well B: Raw material on site other C: Temperature low high D: Recycle yes E: Caustic soda fast slow F: Filter cloth new old G: Hold up time low high no The following experimental plan was chosen. Filtration Time (min) C B + + E + F + + G + + + + + ++IT+T + RunA 1 + 2 3 + 4 5 + 6 7 + 8 9 10 + 11 12 + 13 14 + 15 16 + e +11+1+1+1+1+1+1+ + + + + + + + + + III1++11++++11 Y 38.7 68.7 41.2 78.6 81.0 66.4 77.7 68.4 67.6 42.6 59.0 47.8 61.9 86.4 65.0 66.7 + + + + + + + + + + + + + + + a. c. e. What type of design is this? b. Present all confounding patterns. What type of resolution is it? d. Estimate the main effects and the two-factor interactions. Which factors appear to be important in minimizing the amount of time to complete the filtration cycle? f. Build a prediction model for the amount of time to complete the filtration cycle. g What are the optimal settings for minimizing the amount of time to complete the filtration cycle? 1. In chemical plants, the time to complete a particular filtration cycle is an important characteristic. Seven factors were selected for study: A: Water supply town reservoir well B: Raw material on site other C: Temperature low high D: Recycle yes E: Caustic soda fast slow F: Filter cloth new old G: Hold up time low high no The following experimental plan was chosen. Filtration Time (min) C B + + E + F + + G + + + + + ++IT+T + RunA 1 + 2 3 + 4 5 + 6 7 + 8 9 10 + 11 12 + 13 14 + 15 16 + e +11+1+1+1+1+1+1+ + + + + + + + + + III1++11++++11 Y 38.7 68.7 41.2 78.6 81.0 66.4 77.7 68.4 67.6 42.6 59.0 47.8 61.9 86.4 65.0 66.7 + + + + + + + + + + + + + + + a. c. e. What type of design is this? b. Present all confounding patterns. What type of resolution is it? d. Estimate the main effects and the two-factor interactions. Which factors appear to be important in minimizing the amount of time to complete the filtration cycle? f. Build a prediction model for the amount of time to complete the filtration cycle. g What are the optimal settings for minimizing the amount of time to complete the filtration cycle