Chapter 12.9, Problem 12.97LM

Determine which pairs of the following models are “nested” models. For each pair of nested models, identify the complete and reduced model.

1. a. E(y) = β₀ + β₁x₁ + β₂x₂
2. b. E (y) = β₀ + β₁x₁
3. c. $E\left(y\right)={\beta }_0+{\beta }_1{x}_1+{\beta }_2{x}_1^2$
4. d. E(y) = β₀ + β₁x₁+ β₂x₁ + β₃x₁x₂
5. e. E(y) = β₀ + β₁x₁ + β₂x₂ + β₃x₁x₂ + β₄x₁²+ β₅x₂²