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EXAMPLE 10.23 Computing a confidence interval for p. Let's find a 95% confidence interval for the average gesta- tional age when the umbilical cord diameter is 10 millimeters. The estimated mean age is un-bo+blx-15.1859+(0.9185)(10)=24.371 The standard error is SEU^=sIn+(x*-x*)23(xi-x)2 -4.70416+(10.0-12.5)2349.5-2.021 To find the 95% confidence interval, we compute MAE SEM^=24.371:(2.776)(2.021) 24.37145.610 The interval is 18.761 to 29.981 weeks of age. This is a pretty wide interval given gestation lasts for about 40 weeks. Calculations for the prediction intervals are similar. The only difference is the use of the formula for SEy in place of SE^. This results in a much wider interval. In fact, the interval is slightly more than 28 weeks in width. Even though a linear relationship was found statistically significant, it does not appear um- bilical cord diameter is a precise predictor of gestational age. EXAMPLE 10.23 Computing a confidence interval for p. Let's find a 95% confidence interval for the average gesta- tional age when the umbilical cord diameter is 10 millimeters. The estimated mean age is un-bo+blx-15.1859+(0.9185)(10)=24.371 The standard error is SEU^=sIn+(x*-x*)23(xi-x)2 -4.70416+(10.0-12.5)2349.5-2.021 To find the 95% confidence interval, we compute MAE SEM^=24.371:(2.776)(2.021) 24.37145.610 The interval is 18.761 to 29.981 weeks of age. This is a pretty wide interval given gestation lasts for about 40 weeks. Calculations for the prediction intervals are similar. The only difference is the use of the formula for SEy in place of SE^. This results in a much wider interval. In fact, the interval is slightly more than 28 weeks in width. Even though a linear relationship was found statistically significant, it does not appear um- bilical cord diameter is a precise predictor of gestational age