# Logistic Function in R

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Logistic Function in R, Here is a rewritten version of the article with the codes included:

**Logistic Functions in R: A Tutorial**

In this tutorial, we will explore the logistic functions in R, including the density, cumulative distribution function, quantile function, and random number generation.

We will use the `dlogis`

, `plogis`

, `qlogis`

, and `rlogis`

functions to demonstrate each of these functions.

**Example 1: Logistic Density in R (dlogis Function)**

To begin, we need to create a sequence of quantiles:

x_dlogis <- seq(-10, 10, by = 0.1)

Then, we can apply the `dlogis`

function:

y_dlogis <- dlogis(x_dlogis)

To visualize the output, we can plot the values:

plot(y_dlogis)

This will produce a plot of the logistic probability density function (PDF).

**Example 2: Logistic Cumulative Distribution Function (plogis Function)**

For the cumulative distribution function (CDF), we need to create a sequence of quantiles:

x_plogis <- seq(-10, 10, by = 0.1)

Then, we can apply the `plogis`

function:

y_plogis <- plogis(x_plogis)

To visualize the output, we can plot the values:

plot(y_plogis)

This will produce a plot of the logistic cumulative distribution function (CDF).

**Example 3: Logistic Quantile Function (qlogis Function)**

For the quantile function, we need to create a sequence of probabilities:

x_qlogis <- seq(0, 1, by = 0.01)

Then, we can apply the `qlogis`

function:

y_qlogis <- qlogis(x_qlogis)

To visualize the output, we can plot the values:

plot(y_qlogis)

This will produce a plot of the logistic quantile function.

**Example 4: Generating Random Numbers (rlogis Function)**

To generate random numbers with a logistic distribution, we need to set a seed for reproducibility and a sample size:

set.seed(123) N <- 10000

Then, we can apply the `rlogis`

function:

y_rlogis <- rlogis(N)

We can print the values to the RStudio console:

y_rlogis

And create a histogram of the output:

hist(y_rlogis, breaks = 70, main = "")

This will produce a plot of the logistic density.

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