Lesson 8: Modeling Non-linear Relationships

Overview

Textbook reading: Chapter 7: Moving Beyond Linearity.

All the pertinent material for this lesson is contained within the textbook readings.

After completing the reading for this lesson, please finish the Quiz and R Lab on Canvas (check the course schedule for due dates).

Upon successful completion of this lesson, you should be able to:

Extend simple linear regression to model the relationship between a response variable, Y, and a single predictor variable, X, in a flexible way using polynomial regression, step functions, regression splines, smoothing splines, and local regression.
Use generalized additive models (GAMs) to flexibly predict Y using several predictors, \(X _ { 1 , } \dots , X _ { p }\).