# Question

Consider the following first-order model equation in three quantitative independent variables:

E(y) = 1 + 2x1 + x2 - 3x3

a. Graph the relationship between y and x1 for x2 = 1 and x3 = 3.

b. Repeat part a for x2 = – 1 and x3 = 1.

c. How do the graphed lines in parts a and b relate to each other? What is the slope of each line?

d. If a linear model is first order in three independent variables, what type of geometric relationship will you obtain when you graph E(y) as a function of one of the independent variables for various combinations of values of the other independent variables?

E(y) = 1 + 2x1 + x2 - 3x3

a. Graph the relationship between y and x1 for x2 = 1 and x3 = 3.

b. Repeat part a for x2 = – 1 and x3 = 1.

c. How do the graphed lines in parts a and b relate to each other? What is the slope of each line?

d. If a linear model is first order in three independent variables, what type of geometric relationship will you obtain when you graph E(y) as a function of one of the independent variables for various combinations of values of the other independent variables?

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