A forest resource manager wants to estimate the number of dead pine trees in a 300 hectare area. The area is divided into 200 plots of 1.5 hectare each. Let x denote the photo count of dead trees and y the actual ground count for a simple random sample of n = 7 plots. The data are: x (photo count) 16 20 24 24 18 32 18 y (ground count) 18 42 24 36 24 39 20 The total number of dead pine trees obtained from the photo count for the whole area is tx = 4200. (i) Plot the photo count of dead trees versus the ground count of dead trees. Why is the method of regression estimation appropriate? (3) (ii) Estimate the average number of dead trees and the standard error of this estimate using regression estimation. (8) (iii) Determine the estimate y and standard error SE () for simple random sampling. (iv) Compare the estimates that you calculated in parts (ii) and (iii). What is your conclusion? (4) (2)