Working together, use the code from last class to answer the following questions. Do your work in RMarkdown. This will be part of your participation grade.
- What is the the maximum value of $\sigma$?
- Estimate the mean and median of $r$.
- Plot the posterior density of $K$.
- Estimate the probability that the parameter $K$ exceeds 1600 and the probability that $K$ falls between 1000 and 1300.
- Estimate the posterior distribution of the rate of growth and the maximum rate of growth (you’ll need to figure out what this is) and plot their densities.
- Plot the median population growth rate rate and 95% credible intervals as a function of N.
- What is the probability that the intrinsic rate of increase exceeds 0.22? What is the probability that r falls between .18 and .22?