# What is a Nonlinear Relationship?

###### What Are Examples of Nonlinear Relationships?

Nonlinear relationships are relationships between two variables that cannot be described by a straight line. Instead, they may follow a curve or some other pattern. ππ

π Imagine you’re playing with a yo-yo. If you pull the string a little, the yo-yo goes down a little. If you pull the string a lot, the yo-yo goes down a lot. This is a linear relationship. But if you pull the string too much, the yo-yo will come back up. This is a nonlinear relationship.

π For example, let’s say we’re studying the relationship between the temperature and the number of visitors to a zoo. At first, as the temperature increases, more people visit the zoo. But at some point, when the temperature gets too hot, fewer people visit the zoo. This is a nonlinear relationship.

Other examples of nonlinear relationships include:

• The relationship between the distance and the force of gravity between two objects.
• The relationship between the amount of fertilizer and the growth rate of a plant. Too little or too much fertilizer can have a negative impact on the plant’s growth.
• The relationship between the volume of a gas and the pressure. At high pressures, the gas volume decreases more rapidly than at low pressures.

π Understanding nonlinear relationships can help us choose the right statistical method for our data and make better predictions. So next time you’re analyzing data, think like a scientist and consider whether the relationship is linear or nonlinear! π§π¬