Section 13.2 Summary

1. A confidence interval may be constructed for the mean response $y$ for a given value of $x$. The confidence interval takes the form point estimate ± margin of error, where the point estimate is $\hat{y}$.
2. A prediction interval may be constructed for a random value of $y$ for a given value of $x$. This prediction interval is similar to the confidence interval for the mean response $y$, except that the margin of error is always larger. Thus, the prediction interval is always wider than the confidence interval.