26. Confidence Interval for Mean Predicted Value From the expression given in this section for the margin of error corresponding to a prediction interval for y, we get which is the standard error of the prediction when predicting for a single y, given that x
x0. When predicting for the mean of all values of y for which x
x0, the point estimate is the same, but is as follows:

Use the data from Table 10-1 to find a point estimate and a 95% confidence interval estimate of the mean of time intervals after eruptions that have duration times of 180 sec.