The data presented in the following table give the tensile strength in psi (y) of paper as a function of the percentage of hardwood content (x). Hardwood Content Tensile Strength 1.0 26.8 1.5 29.5 2.0 36.6 3.0 37.8 4.0 38.2 4.5 41.5 5.0 44.8 5.5 44.7 6.0 48.5 6.5 50.1 7.0 52.1 8.0 56.1 9.0 63.1 10.0 62.0 11.0 62.5 12.0 58.0 13.0 52.9 14.0 38.2 15.0 32.9 16.0 21.9 a. Fit polynomial models of degrees 1, 2, and so on to predict tensile strength from hardwood content. For each one, use the F test to compare it with the model of degree one less. Stop when the P-value of the F test is greater than 0.05. What is the degree of the polynomial model chosen by this method? b. Using the model from part (a), estimate the hardwood concentration that produces the highest tensile strength.
The data presented in the following table give the tensile strength in psi (y) of paper as a function of the percentage of hardwood content (x). Hardwood Content Tensile Strength 1.0 26.8 1.5 29.5 2.0 36.6 3.0 37.8 4.0 38.2 4.5 41.5 5.0 44.8 5.5 44.7 6.0 48.5 6.5 50.1 7.0 52.1 8.0 56.1 9.0 63.1 10.0 62.0 11.0 62.5 12.0 58.0 13.0 52.9 14.0 38.2 15.0 32.9 16.0 21.9 a. Fit polynomial models of degrees 1, 2, and so on to predict tensile strength from hardwood content. For each one, use the F test to compare it with the model of degree one less. Stop when the P-value of the F test is greater than 0.05. What is the degree of the polynomial model chosen by this method? b. Using the model from part (a), estimate the hardwood concentration that produces the highest tensile strength.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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