Question: Suppose we wish to develop a model with three explanatory variables, x1, x2, and x3. (a) Write a model that utilizes all three explanatory variables

Suppose we wish to develop a model with three explanatory variables, x1, x2, and x3.

(a) Write a model that utilizes all three explanatory variables with no interaction.

(b) Write a model that utilizes the explanatory variables x1 and x2 along with interaction between x1 and x2.

(c) Write a model that utilizes all three explanatory variables with interaction between x2 and x3.

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