8. Tree-based methods

Problems for interactive lecture

Problem 1: from regions to tree

We have a classification problem with covariates (predictors) Sepal.Width and Sepal.Length and reponse Species (three species)

The graph below gives a partition of the predictor space of variables Sepal.Width and Sepal.Length, where the observations are shown in different colors for the different species

a) From regions to tree

Sketch the classification tree corresponding to the partition. Specify variables that are split on and an approximate value of the split point

b) From tree to regions

For the tree plot, draw the corresponding region plot.

Compulsory exercise 3 in 2018: Problem 1 on Classification with trees

https://www.math.ntnu.no/emner/TMA4268/2018v/CompEx/Compulsory3solutions.html

9. Support vector machines