The path of steepest ascent is usually computed assuming that the model is truly first order; that is, there is no interaction. However, even if there is interaction, steepest ascent ignoring the interaction still usually produces good results. To illustrate, suppose that we have fit the model ˆy =20+5x1−8x2+3x1x2ŷ=20+5x1−8x2+3x1x2 Using coded variables (−1 ≤ xi ≤ +1) a) Draw the path of steepest ascent that you would obtain if the interaction were ignored. b) Draw the path of steepest ascent that you would obtain with the interaction included in the model. Compare this with the path found in part (a).
The path of steepest ascent is usually computed assuming that the model is truly first order; that is, there is no interaction. However, even if there is interaction, steepest ascent ignoring the interaction still usually produces good results. To illustrate, suppose that we have fit the model ˆy =20+5x1−8x2+3x1x2ŷ=20+5x1−8x2+3x1x2 Using coded variables (−1 ≤ xi ≤ +1) a) Draw the path of steepest ascent that you would obtain if the interaction were ignored. b) Draw the path of steepest ascent that you would obtain with the interaction included in the model. Compare this with the path found in part (a).
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Problem 1P
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The path of steepest ascent is usually computed assuming that the model is truly first order; that is, there is no interaction. However, even if there is interaction, steepest ascent ignoring the interaction still usually produces good results. To illustrate, suppose that we have fit the model
ˆy =20+5x1−8x2+3x1x2ŷ=20+5x1−8x2+3x1x2
Using coded variables (−1 ≤ xi ≤ +1)
a) Draw the path of steepest ascent that you would obtain if the interaction were ignored.
b) Draw the path of steepest ascent that you would obtain with the interaction included in the model. Compare this with the path found in part (a).
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