Suppose You Wish to Explain Student Midterm Scores by Time

Suppose you wish to explain student midterm scores by time taken to complete the exam and you are concerned that the marginal effect of time taken differs depending on the amount of time taken in a quadratic manner.You could control for this possibility by estimating the population regression function

A) Midterm Score = β_{0 +} β₁ ∙ Time Taken + ε.
B) Midterm Score = β_{0 +} β₁ ∙ Time Taken² + ε.
C) Midterm Score = β_{0 +} β₁ ∙ Time Taken + β2 ∙ Time Taken² + ε.
D) Midterm Score = β_{0 +} β₁ ∙ Time Taken + β2 ∙ Time Taken² + β3 ∙ Time Taken³ + ε.