In the quadratic regression model,y = $\beta$ ₀ + $\beta$ ₁X + $\beta$ ₂X²+ $\varepsilon$ The ?₂ term represents the: A)Rate of curvature of the parabola B)Value of Y when X is zero C)Shift parameter of the parabola D)Y-intercept of the parabola E)Value of X when Y is zero

Question

Quizplus · Accepted Answer

The $\beta_2$ term in a quadratic regression model represents the rate of curvature of the parabola. This term is responsible for the quadratic (squared) relationship between X and Y, influencing how the curve bends.

In the Quadratic Regression Model,y = β\betaβ 0 β\betaβ 1X β\betaβ

In the Quadratic Regression Model,y = $\beta$ ₀ $\beta$ ₁X $\beta$