A sample of 153 heights and weights results in se = 6.15793 cm. Using the regression found from the data, a height of 175 cm is used to find that the predicted weight is 91.2 kg and the 95% prediction interval is (59.1 kg, 123.3 kg).
(a) Write a statement that interprets that prediction interval.
(b) What is the major advantage of using a prediction interval instead of simply using the predicted weight of 91.2 kg? Why is the terminology of prediction interval used instead of the confidence interval?
(c) Write a statement that interprets the prediction interval.