13.2.2Polymer 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 response surface model y = Bo+B₁z1+B₂1² + B3I2 + B₁1²2²2 +851112 4 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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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 response
surface model
y =B₁ + B₁¹1 + B21² + B312 + B41² +₁1172
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
strength is maximized?
that the fiber
estimate
Mandards.com
e ...
MAN SA LA CARTA REGIST
SAN ANTON
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 response surface model y =B₁ + B₁¹1 + B21² + B312 + B41² +₁1172 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 strength is maximized? that the fiber estimate Mandards.com e ... MAN SA LA CARTA REGIST SAN ANTON 627 628
1
ONOJLO NO
2
3
4
5
6
7
8
9
12
Concentration of Polymer 1
0
1
0
-1
0
1
1
-1
Concentration of Polymer 2
0
0
1
0
-1
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
E
Transcribed Image Text:1 ONOJLO NO 2 3 4 5 6 7 8 9 12 Concentration of Polymer 1 0 1 0 -1 0 1 1 -1 Concentration of Polymer 2 0 0 1 0 -1 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 E
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