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ove and below the sta rength, x, is the conc trations of the polym

ove and below the sta rength, x, is the conc trations of the polym

MATLAB: An Introduction with Applications
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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1234567 00 22 8 9 10 11 12 13 A Concentration of Polymer 1 0 1 0 -1 0 1 1 -1 -1 B Concentration of Polymer 2 0 0 1 0 -1 1 -1 1 C Fiber Strength 19.6 18.4 20.7 19.1 16.3 18.9 13.0 18.6 16.4 D LU E
Transcribed Image Text:1234567 00 22 8 9 10 11 12 13 A Concentration of Polymer 1 0 1 0 -1 0 1 1 -1 -1 B Concentration of Polymer 2 0 0 1 0 -1 1 -1 1 C Fiber Strength 19.6 18.4 20.7 19.1 16.3 18.9 13.0 18.6 16.4 D LU E
13.2.2 Polymer Concentrations for Optimal Fiber Strengths Two polymers are ingredients in the manufacture of a synthetic fiber. The data set given in DS 13.2.2 shows the results of an experiment conducted to measure the fiber strength resulting from different concentrations of the two polymers. The polymer concentrations examined represent their standard levels, coded as 0, together with one unit above and below the standard levels. Fit the surface model response y = Bo+B₁z1+B₂I² + B3I2 + B₁2 +₁12 ▶ where the response variable y is the fiber strength, x, is the concentration of polymer 1, and x₂ is the concentration of polymer 2. At what concentrations of the polymers would you estimate that the fiber strength is maximized? 627 628
Transcribed Image Text:13.2.2 Polymer Concentrations for Optimal Fiber Strengths Two polymers are ingredients in the manufacture of a synthetic fiber. The data set given in DS 13.2.2 shows the results of an experiment conducted to measure the fiber strength resulting from different concentrations of the two polymers. The polymer concentrations examined represent their standard levels, coded as 0, together with one unit above and below the standard levels. Fit the surface model response y = Bo+B₁z1+B₂I² + B3I2 + B₁2 +₁12 ▶ where the response variable y is the fiber strength, x, is the concentration of polymer 1, and x₂ is the concentration of polymer 2. At what concentrations of the polymers would you estimate that the fiber strength is maximized? 627 628
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