The data set agsrs.dat also contains information on the number of farms in 1987 for the SRS of n = 300 counties from the population of the N = 3078 counties in the
United States (see Example 2.5). In 1987, the United States had a total of 2,087,759 farms.
a. Plot the data.
b. Use ratio estimation to estimate the total number of acres devoted to farming in 1992, using the number of farms in 1987 as the auxiliary variable.
c. Repeat (b), using regression estimation.
d. Which method gives the most precision: ratio estimation with auxiliary variable acres87, ratio estimation with auxiliary variable farms87, or regression estimation with auxiliary variable farms87? Why?