## Problem Set 9

This is to be completed by December 21st, 2017.

### Exercises

- Datacamp
- Complete the lesson:

a. Intermediate R: Practice

- Complete the lesson:
- R Lab:
- Consider a two class classification problem with one class denoted
*positive*. - Given a list of probability predictions for the positive class, a list of the correct probabilities (0’s and 1’s), and a number N>=2 of data points, construct a function which produces an Nx2 matrix/dataframe whose ith row (starting at 1) is the pair (x,y) where x is the false positive rate and y is the true positive rate of a classifier which classifies to true if the probability is greater or equal to (i-1)/(N-1).
- Construct another function which produces the line graph associated to the points from the previous function .
- Finally, produce another function which estimates the area under the curve of the previous graph.

- Consider a two class classification problem with one class denoted