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Consider a regression analysis with three independent variables x1 x2

Consider a regression analysis with three independent variables x1, x2, and x3. Give the equation for the following regression models:

a. The model that includes as predictors all independent variables but no quadratic or interaction terms;

b. The model that includes as predictors all independent variables and all quadratic terms;

c. All models that include as predictors all independent variables, no quadratic terms, and exactly one interaction term;

d. The model that includes as predictors all independent variables, all quadratic terms, and all interaction terms (the full quadratic model).

a. The model that includes as predictors all independent variables but no quadratic or interaction terms;

b. The model that includes as predictors all independent variables and all quadratic terms;

c. All models that include as predictors all independent variables, no quadratic terms, and exactly one interaction term;

d. The model that includes as predictors all independent variables, all quadratic terms, and all interaction terms (the full quadratic model).

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