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.

Aconcession manager at yankee stadium wants to know how temperature affects beer sales. she took a sample of 10 games and recorded the number of beers sold and the temperature in the middle of the game. temperature 80 68 78 79 87 74 86 92 77 84 number of beers 20533 1439 13829 21286 30985 17187 30240 87596 9610 28742 a. draw a scatter plot of the data. b. the manager estimates the regression equation to be: numberofbeers = −100, 678 + 1, 513 ∗ temperature draw this on your scatter plot. c. for one of the estimated points, indicate the residual with ei . d. for that same point, indicate what part of the variation is explained by the model with ˆyi − y¯.