Northern Yellowstone elk: The northern Yellowstone elk winter in the northern range of Yellowstone National Park.6 A moratorium on elk hunting was imposed in 1969, and after that the growth of the elk...

Northern Yellowstone elk: The northern Yellowstone elk winter in the northern range of Yellowstone National Park.6 A moratorium on elk hunting was imposed in 1969, and after that the growth of the elk population was approximately logistic for a time. The following table gives data on the growth.

a. Use regression to find a logistic model for this elk population.

b. According to the model you made in part a, when would the elk population reach half of the carrying capacity? Note: At one time the gray wolf was a leading predator of the elk, but it was not a factor during this study period. The level at which the elk population stabilized suggests that food supply (and not just predators) can effectively regulate population size in this setting.