Consider the first-order model equation in three, Basic Statistics

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Consider the first-order model equation in three

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

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 E(y) is graphed as a function of one of the independent variables for various combinations of values of the other independent variables?

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