Day 9 in math modeling

Homework:
- Homework notebooks due next Wednesday (all work from Chapter 2, up to - but not including - Project 2).
- Project 2 (due the 21st).
Homework/project problems?
Concepts page on website
Big Project status report
Linear Algebra background report
Continue discussion of Project 2.3 from day 8
- chi-square example: decile cutpoints for a standard (N(0,1)) normal distribution:
  - 0,0.253347,0.524401,0.841621,1.28155
  - survival: mean=0.591667; std. dev=0.118089
- At left is the result of running 1000 simulations of the chi-square statistic using a random sample from a normal distribution; at right is the chi-square with degree 4. Pretty similar, yes?
- quantile function (inverse of cdf):
- quantile plots - another (visual) test for normality (or for fit to any given distribution)
We'll end in the lab (time permitting), using project file Day9.nb. We want to work on Project 2.3 (and, by analogy, your second class project):
1. Simulate the deterministic population of Chickadees for 100 years.
2. Simulate the stochastic population of Chickadees for 100 years, assuming normal survival and recruitment parameters.
3. Can you create a qqplot of the survival and recruitment parameters?

Website maintained by Andy Long. Comments appreciated.