Question

y = β0 + β1x1 + β2 x12+ ε ​is known as a Group of answer choices simple first-order model with two predictor variables. simple first-order model with one predictor variable second-order model with two predictor variables. second-order model with one predictor variable.

Answer 1

(A)Simple First Order Model with Two Predictor Variables.

Explanation:

A multiple linear regression model with k predictor variables X₁, X₂, ..., Xₖ and a response Y, can be written as:

y = βₒ + β₁x₁ + β₂x₂ + ··· βₖxₖ + ∈.

Where:

x₁ , x₂,...xₖ are the predictor variables.

βₒ ,β₁, β₂ ··· βₖ are the Regression Coefficients.

and ∈ are the residual terms of the model

Multiple regression models describe how a single response variable y depends linearly on a number of predictor variables x.

The model:

y = βₒ + β₁x₁ + β₂x₂ + ∈ has two predictor variables. It is also of first order since there is no quadratic term, therefore it is a Simple First Order Model with Two Predictor Variables.