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.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter2: Exponential, Logarithmic, And Trigonometric Functions

Section2.CR: Chapter 2 Review

Problem 111CR: Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data...

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