For a given set of values for x₁, x₂, …, x_k the confidence interval for the conditional mean of Y is: A)narrower than the prediction interval for the individual Y value. B)wider than the prediction interval for the individual Y value. C)usually about the same as the prediction interval for the individual Y value.

Question

Quizplus · Accepted Answer

The confidence interval for the conditional mean of Y is narrower than the prediction interval for an individual Y value because the prediction interval also accounts for the error in predicting a single value, while the confidence interval focuses on the average outcome.

For a Given Set of Values for X1, X2, …

For a Given Set of Values for X₁, X₂, …