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12. Regression
12. Regression / Prediction Intervals / Problem 15
Problem 15

A random sample of 130130 male engineering students is obtained, and their heights are measured in inches\(\text{inches}\) and in centimeters\(\text{centimeters}\).
From the regression analysis, the predicted height in centimeters\(\text{centimeters}\) for a student who is 70 inches70\(\text{ inches}\) tall is found to be 177.8 cm177.8\(\text{ cm}\). The sum of squared residuals from the regression is 42.25 cm2\(\text{42.25 cm}\)^2.
i. What is the value of the standard error of estimate (SE)?
ii. For a student whose height is 70 inches70\(\text{ inches}\), what is the 95%95\% prediction interval?