MIT 2 830J - Control of Manufacturing Processes (2 pages)

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Control of Manufacturing Processes

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Control of Manufacturing Processes

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2
School:
Massachusetts Institute of Technology
Course:
2 830j - Control of Manufacturing Processes
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MIT OpenCourseWare http ocw mit edu 2 830J 6 780J ESD 63J Control of Manufacturing Processes SMA 6303 Spring 2008 For information about citing these materials or our Terms of Use visit http ocw mit edu terms Massachusetts Institute of Technology Department of Mechanical Engineering Department of Electrical Engineering and Computer Science 2 830J 6 780J Control of Manufacturing Processes Spring 2008 Assignment 7 Out 4 4 2008 due Thursday 4 10 2008 Problem 1 Montgomery 12 10 Problem 2 Montgomery 12 15 Problem 3 Suppose that the following results were obtained from a 2 factor experiment with center point Five replicate measurements were made for each input combination x1 0 1 1 1 1 x2 0 1 1 1 1 0 1014 0 0650 0 0914 0 1107 0 1963 0 1056 0 0650 0 0891 0 1071 0 2185 y 5 replicates 0 0996 0 0667 0 0925 0 1109 0 1914 0 0991 0 0662 0 0855 0 1115 0 1814 0 1038 0 0664 0 0913 0 1145 0 2092 a Attempt to fit a model to these results Examine the residuals using a normal probability plot and a plot of residuals against fitted values Do the residuals appear to have equal variance across the prediction range b Now try fitting models in turn to the transformed data sets exp y and 1 y In each case examine the residuals and draw conclusions about which if either transformation is appropriate These data are also provided in an Excel file on the course website 7 3 xls Problem 4 Montgomery 13 12

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