h2.pdf - Math 739\/839-01 Fall 2019 Homework Assignment#5 Total Points 10 points 1(Problem 5.5 in book A glass bottle manufacturing company has recorded

h2.pdf - Math 739/839-01 Fall 2019 Homework Assignment#5...

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Math 739/839-01 Fall 2019 Homework Assignment #5 Total Points: 10 points 1. (Problem 5.5 in book) A glass bottle manufacturing company has recorded data on the average number of defects per 10,000 bottles due to stones (small pieces of rock embedded in the bottle wall) and the number of weeks since the last furnace overhaul. The data are in an Excel file in the assignment. a. (5 pts.) Fit a straight-line regression model to the data and perform the standard tests for model adequacy. What is the fitted model? Be sure to include in your discussion the results of the ANOVA, t-tests, R2, and residual plots. From the Actual by Predicted Plot, the line does not seem the best fit for the data. It seems that there is an obvious curvature pattern to most of the data points. For a simple linear regression, the interpretation of the RSquare and RSquare Adjusted are the same. The RSquare = 0.853819, which means that about 85% of the variation in the bottle defects can be explained by the number of weeks since the last furnace overhaul. It also implies that the linear correlation is positive and moderately strong between weeks and defects. However, when we combine the
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