Montgomery [2020] presents an experiment concerning the tensile strength of synthetic fiber used to make cloth for
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Montgomery [2020] presents an experiment concerning the tensile strength of synthetic fiber used to make cloth for men's shirts: The strength is thought to be affected by the percentage of cotton in the fiber. The data are shown below.
a. Write down the $\mathbf{y}$ vector and $\mathbf{X}$ matrix for the corresponding regression model.
b. Find the least-squares estimates of the model parameters.
c. Find a point estimate of the difference in mean strength between \(15 \%\) and \(25 \%\) cotton.
d. Test the hypothesis that the mean tensile strength is the same for all five cotton percentages.
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Related Book For 
Introduction To Linear Regression Analysis
ISBN: 9781119578727
6th Edition
Authors: Douglas C. Montgomery, Elizabeth A. Peck, G. Geoffrey Vining
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