Exercise

# Bootstrapping by hand

To help you gain intuition about how bootstrapping works, imagine you have a data set that has only three points, `[-1, 0, 1]`

. How many unique bootstrap samples can be drawn (e.g., `[-1, 0, 1]`

and `[1, 0, -1]`

*are* unique), and what is the maximum mean you can get from a bootstrap sample? It might be useful to jot down the samples on a piece of paper.

(These are too few data to get meaningful results from bootstrap procedures, but this example is useful for intuition.)

Instructions

**50 XP**

##### Possible Answers

- There are 3 unique samples, and the maximum mean is 0.
- There are 10 unique samples, and the maximum mean is 0.
- There are 10 unique samples, and the maximum mean is 1.
- There are 27 unique samples, and the maximum mean is 0.
- There are 27 unique samples, and the maximum mean is 1.