The following model: y = β₀+ β₁x₁+ β₂x₂+ β₃x₁x₂ + ε A)is a linear model with interaction. B)is a second order polynomial model. C)is a composite model. D)is a convex model.

Question

Quizplus · Accepted Answer

The model includes interaction terms between the variables ₁ and ₂ as well as a triple interaction term between all three variables, which makes it a linear model with interaction. It is not a second order polynomial model because it does not include any squared terms, it is not a composite model because it does not include any nested or composite functions, and it is not a convex model because it does not have a single minimum point.

The Following Model: Y = β0 + β1x1 + β2x2

The Following Model: Y = β₀+ β₁x₁+ β₂x₂