An instructor wanted to know if the scores on pop quizzes are good predictors of the scores on the final exam. He used the following regression model, Y_i = b₁X₁_i + b₂X₂_i + b₃X₃_i + a + e_i, where Y is the score on the final exam, X₁ is the score on the first quiz, X₂ is the score on the second quiz, and X₃ is the average score of the two quizzes. Evaluate this model. A) The assumption of independence is violated. B) The assumption of linearity is violated. C) The assumption of noncollinearity is violated. D) There is no indication of assumption violation based on the information given.

Question

Quizplus · Accepted Answer

The assumption of noncollinearity is violated because the model includes both individual quiz scores and their average, which are highly correlated variables. This can lead to multicollinearity issues in the regression analysis.

An Instructor Wanted to Know If the Scores on Pop