Curvilinear Regression

Reading Assignment: RWG: Chapter 2: 51-64, Chapter 5:148-163.

EXAMPLE:

Relationship between Foraging Area and Population Size (number of breeding pairs) for 22 Kittiwake colonies in Scotland's Shetland and Orkney Islands.

SAS commands and output

OUTLINE:

  1. Regress POPSIZE on AREA; residual plots
  2. distribution POPSIZE, AREA and log transformed data
  3. Regress log(POPSIZE) on log(AREA) ; residual plots
  4. Regress log(POPSIZE) on AREA; residual plots
  5. Predictions of POP SIZE (Transforming back to Original Units)
  6. Which transformation?
  7. CI and PI (Transforming back to Original Units)