Question: suppose the true relationship between ey and the quantitative independent...
Suppose the true relationship between E(y) and the quantitative independent variables x1 and x2 is
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.