The following model $y = \beta _ { 0 } + \beta _ { 1 } x + \beta _ { 2 } x ^ { 2 }$ + $\varepsilon$ is referred to as a:
A) simple linear regression model.
B) first-order model with one predictor variable.
C) second-order model with one predictor variable.
D) third-order model with two predictor variables.

Question

Quizplus · Accepted Answer

The model includes a quadratic term ($x^2$), making it a second-order model with one predictor variable $x$.

The Following Model y=β0+β1x+β2x2y = \beta _ { 0 } + \beta _ { 1 } x + \beta _ { 2 } x ^ { 2 }y=β0​+β1​x+β2​x2

The Following Model $y = \beta _ { 0 } + \beta _ { 1 } x + \beta _ { 2 } x ^ { 2 }$