Which of the following regression models is a first-order polynomial? A) y = β₀ + ε B) y = β₀ + β₁x + ε C) y = β₀ + β₁x +β₂x²+ ε D) y = β₀ + β₁x + β₂x² + β₃x³ + ε

Question

Quizplus · Accepted Answer

A first-order polynomial regression model has only one predictor variable with a linear relationship with the response variable. In option B, y has a linear relationship with x, represented by the term β₁x. The other options have higher order terms or multiple predictor variables, making them higher-order polynomial regression models.

Which of the Following Regression Models Is a First-Order Polynomial