Assignment Schedule for Mat375

You might try some of the R code at the end, if you have the courage! I like RStudio (freely available) for doing my work in R. Google and download if you wish.

keeling = Import["Desktop/classes/2018Spring/mat375/Keeling.csv"];

to read the data into Mathematica as a matrix (where you need to use the proper directory path). (Due 2/2)

Advertising expenditures. This example is from Mooney and Swift's A Course in Mathematical Modeling (p. 169). They suggest two models for the data:

• Power model: $y(t)=at^b$
• Exponential model: $y(t)=ae^{bt}$

• How do they compare with the linear model and with each other? Examine all of the usual diagnostics.
• What problem does the power model pose, relative to starting value of time $t$? Does it change if we represent years as 1970 rather than 70?

  How do we interpret the power? (Remember my remarks above about interpreting the parameters of your model!)

  Does the exponential model suffer the same problem? What is the impact of a shift in time scale?

This is your introduction to a system whose dynamics we will be studying.

In particular, I want you to notice all of the scatterplots and regressions. The authors use regression to characterize various facets of the population biology, as well as to estimate parameters for models. Regression is a very important tool in our modeling toolboxes.

You should have done this by Wednesday, 2/14.

Review your own city's rainfall report (and collaboration), and compare and contrast the two reports for your two previous cities. Three pages, typed. Due Monday, 3/26.

Olinick's Hoffman Galla tribe example: Please read Olinick's Chapter 11 on the Galla's practice of Age Classes for males (to discuss Monday).

Hoffman's 1965 paper (in which he describes the deterministic model).