Suppose that you believe that a quadratic 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 = time⁴ B)Y = b₀ + b₁X⁴, where X = time C)Y = b₀ + b₁X, where X = time² D)Y = b₀ + b₁X², where X = time

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To model a quadratic relationship in a linear regression framework, you need to include both the linear term (X) and its square (X^2). Option C correctly represents this by including a term for X and a term for X^2 (indicated by the notation which seems to imply X to the power of 2), making it a valid model for capturing a quadratic relationship.

Suppose That You Believe That a Quadratic Relationship Exists Between