15.28 The average age of farm owners. The average age of American farm owners has risen steadily during the last 30 years. Here are data on the average age of farm owners (years) from 1982 to 2012:
| Year: | 1982 | 1987 | 1992 | 1997 |
| Average age: | 50.5 | 52.0 | 53.3 | 54.3 |
| Year: | 2002 | 2007 | 2012 | |
| Average age: | 55.3 | 57.1 | 58.3 |
(a) Make a scatterplot of these data. Draw by eye a regression line for predicting a year’s farm population.
(b) Extend your line to predict the average age of farm owners in 2100. Is this result reasonable? Why?