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Question: suppose the true relationship between ey and the quantitative independent...

Question details

Suppose the true relationship between E(y) and the quantitative independent variables x1 and x2 is

E(y)= 4-x1+2x2+x1x2

Explain the interaction term on the mean response E(y) and answer to the questions:

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 changes when x1 is changed from 4 to 2, and x2 is simultaneously changed from 1 to 2.

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