You are supervising a summer student who has come to you with the following plan 2^4 and estimated outputs (given in the table below) from 16 runs. Determine the effect of factors A, B, C & D, given that -1 is low and 1 is high for each factor. a) Which factor has the largest effect? b) What factor has the most negative effect? A -1 1 -1 1 -1 1 -1 1 -1 1 -1 -1 1 -1 B С D Outputs -1 -1 4.68 0.8 -1 -1 1.2 -1 -1 -1 -1 1 1 -1 1 -1 1 1 1 1 -1 -1 1 -1 -1 -1 -1 1 1 -1 -1 12 -1 9.53 -1 1 -1 12 -1 5.35 1.6 8.2 1.16 1 -1 1 1 -1 1 1 1 1 1 11.28 5.35 1.6 11.73 1 1.16 1 5.3

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter5: Factoring Polynomials
Section5.5: Differences Of Two Squares
Problem 28OE
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Question
You are supervising a summer student who has come to you with the following plan 2^4 and estimated outputs (given in the table below) from
16 runs. Determine the effect of factors A, B, C & D, given that -1 is low and 1 is high for each factor.
a) Which factor has the largest effect?
b) What factor has the most negative effect?
-1
1
-1
1
-1
-1
1
-1
1
-1
-1
1
-1
-1
-1
-1
1
1
1
-1 1
1
1
1
1
-1
-1
1
-
-1
-1
C
1
D Outputs
4.68
-1 -1 0.8
-1 -1
-1
-1
-1
-1
-1
-1
1
1
1
-1 1.2
-1 11.28
-1
-1
-1
12
-1 5.35
1 1.6
1 8.2
1 1.16
1
5.35
1.6
1
1
12
1
1
9.53
11.73
1.16
5.3
Transcribed Image Text:You are supervising a summer student who has come to you with the following plan 2^4 and estimated outputs (given in the table below) from 16 runs. Determine the effect of factors A, B, C & D, given that -1 is low and 1 is high for each factor. a) Which factor has the largest effect? b) What factor has the most negative effect? -1 1 -1 1 -1 -1 1 -1 1 -1 -1 1 -1 -1 -1 -1 1 1 1 -1 1 1 1 1 1 -1 -1 1 - -1 -1 C 1 D Outputs 4.68 -1 -1 0.8 -1 -1 -1 -1 -1 -1 -1 -1 1 1 1 -1 1.2 -1 11.28 -1 -1 -1 12 -1 5.35 1 1.6 1 8.2 1 1.16 1 5.35 1.6 1 1 12 1 1 9.53 11.73 1.16 5.3
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