Suppose that you believe that a cubic relationship exists between the independent variable (of time)and the dependent variable Y.Which of the following would represent a valid linear regression model? A)Y = b₀ + b₁X, where X = time³ B)Y = b₀ + b₁X³, where X = time C)Y = b₀ + 3b₁X, where X = time³ D)Y = b₀ + 3b₁X, where X = time

Question

Quizplus · Accepted Answer

A cubic relationship implies that the dependent variable Y is related to the independent variable (time) to the third power. Option A correctly represents a cubic relationship by including a term for $X^3$, where $X$ is time, making it a valid linear regression model for a cubic relationship.

Suppose That You Believe That a Cubic Relationship Exists Between