The article “Estimating Population Abundance in Plant Species with Dormant Life-Stages: Fire and the Endangered Plant Grevillea caleye R. Br.” (T. Auld and J. Scott, Ecological Management and...

The article “Estimating Population Abundance in Plant Species with Dormant Life-Stages: Fire and the Endangered Plant Grevillea caleye R. Br.” (T. Auld and J. Scott, Ecological Management and Restoration, 2004:125–129) presents estimates of population sizes of a certain rare shrub in areas burnt by fire. The following table presents population counts and areas (in m2) for several patches containing the plant.

a. Compute the least-squares line for predicting population (y) from area (x).

b. Plot the residuals versus the fitted values. Does the model seem appropriate?

c. Compute the least-squares line for predicting ln y from ln x.

d. Plot the residuals versus the fitted values. Does the model seem appropriate?

e. Using the more appropriate model, construct a 95% prediction interval for the population in a patch whose area is 3000m2.