Exercise

# Generating a 2d radially separable dataset

In this exercise you will create a 2d radially separable dataset containing 400 uniformly distributed data points.

Instructions

**100 XP**

- Generate a data frame
`df`

with:- 400 points with variables
`x1`

and`x2`

. `x1`

and`x2`

uniformly distributed in (-1, 1).

- 400 points with variables
- Introduce a circular boundary of radius 0.8, centred at the origin.
- Create
`df$y`

, which takes value -1 or 1 depending on whether a point lies within or outside the circle.