Suppose the true relationship between E(y) and the quantitative independent variables x 1 and x 2 is

Question:

Suppose the true relationship between E(y) and the quantitative independent variables x1 and x2 is described by the following first-order model:

E(y) = 4 - x1 + 2x2

a. Describe the corresponding response surface.

b. Plot the contour lines of the response surface for x1 = 2, 3, 4,where 0 ≤ x2 ≤ 5.

c. Plot the contour lines of the response surface for x2 = 2, 3, 4,where 0 ≤ x1 ≤ 5.

d. Use the contour lines you plotted in parts b and c to explain how changes in the settings of x1 and x2 affect E(y).

e. Use your graph from part b to determine how much E(y) changes when x1 is changed from 4 to 2 and x2 is simultaneously changed from 1 to 2.

Step by Step Answer:

Related Book For  book-img-for-question

Statistics For Engineering And The Sciences

ISBN: 9781498728850

6th Edition

Authors: William M. Mendenhall, Terry L. Sincich

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