Example 1 in this section illustrated the procedure for finding a prediction interval for an individual value of y. When using a specific value x0 for predicting the mean of all values of y, the confidence interval is as follows:

Where

The critical value tα/2 is found with n €” 2 degrees of freedom. Using the 40 pairs of shoe print lengths (x) and heights (y) from Data Set 2 in Appendix B, find a 95% confidence interval estimate of the mean height given that the shoe print length is 29.0 cm.

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