Exercise

# Inverse cumulative distribution function

The logistic function (logistic distribution CDF) has another important property: each x input value is transformed to a unique value. That means that the transformation can be reversed. The *logit function* is the name for the *inverse logistic function*, which is also the *logistic distribution inverse cumulative distribution function*. (All three terms mean exactly the same thing.)

The logit function takes values between zero and one, and returns values between minus infinity and infinity.

`dplyr`

and `ggplot2`

are loaded.

Instructions 1/2

**undefined XP**

Create a tibble containing three columns.

`x`

values as a sequence from minus`0.001`

to`0.999`

in steps of`0.001`

.`logit_p`

made from`p`

transformed with the logistic distribution inverse CDF.`logit_p_man`

made from`p`

transformed with the equation \(log(\frac{1}{(1 - p)})\).- Check that both logit transformations (
`logit_p`

and`logit_p_man`

) have the same values with`all.equal()`

.