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26 September, 04:21

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.

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  1. 26 September, 05:14
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    (A) Simple First Order Model with Two Predictor Variables.

    Step-by-step 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.
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