What is a monotonic relationship?
Understand the Problem
The question is asking for an explanation of the concept of a monotonic relationship, which typically refers to a relationship between two variables where one variable consistently increases or decreases as the other variable does. This explanation might involve discussing types of monotonic relationships, such as increasing or decreasing monotonicity.
Answer
A relationship where as one variable increases, the other also increases or decreases consistently.
A monotonic relationship is a relationship between two variables where as one variable increases, the other variable also increases or decreases consistently.
Answer for screen readers
A monotonic relationship is a relationship between two variables where as one variable increases, the other variable also increases or decreases consistently.
More Information
In a monotonic relationship, the rate of change does not have to be constant. This type of relationship can be linear or non-linear, as long as the direction of change remains consistent.
Tips
A common mistake is confusing monotonic relationships with linear relationships. While all linear relationships are monotonic, not all monotonic relationships are linear.
Sources
- Definition of a monotonic relationship and examples - statkat.com
- What is a Monotonic Relationship? - Statology - statology.org
- Linear, nonlinear, and monotonic relationships - Minitab - Support - support.minitab.com
