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Assignment 6B 1

Statistics

Assignment 6B 1. The data below shows the filtration time (y) corresponding to independent variables tem-perature (x,) and pressure (x2). 
x2 
-1 -1 54 -1 1 45 1 -1 32 1 I 47 -1.414 0 50 1.414 0 53 0 -1.414 47 0 1.414 51 0 o 41 0 0 39 0 0 44 0 0 42 0 o 40 
(a) Fit a second-order model. (b) What operating conditions would you recommend if the objective is to minimize the filtration time? (c) What operating conditions would you recommend if the objective is to operate the process at a mean filtration rate very close to 46? 
Submit Minitab outputs for all of the following problems. 2. Solve Homework 2, Problem 1 using Minitab. 3. Solve Homework 3, Problem 3 using Minitab. 4. Solve Homework 3, Problems 7, 8 and 9 using Minitab. 5. Solve Homework 4, Problem 3 using Minitab. 6. Solve Homework 4, Problems 5, 7 and 9 using Minitab. 7. The data in the attached file PCA.xlsx describes data for 569 tumors, taken from the Wisconsin Breast Cancer Database. Thirty features have been extracted from each tumor. Using PCA, find principal components that embody 95% of the total variation seen in the thirty features. List your principal components as linear combinations of the original thirty features. 
 

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