In: Statistics and Probability
Definition -
A Curvilinear Relationship is a type of relationship between two variables where as one variable increases, so does the other variable, but only up to a certain point, after which, as one variable continues to increase, the other decreases. If you were to graph this kind of curvilinear relationship, you will come up with an inverted-U.
The other type of curvilinear relationship is one where as one
variable increases, the other decreases up to a certain point,
after which, both variables increase together. This will give you a
U-shaped curve.
Example :-
An example of a curvilinear relationship would be staff cheerfulness and customer satisfaction.
The more cheerful a service staff is, the higher the customer
satisfaction, but only up to a certain point. When a service staff is too cheerful, it might be perceived by customers as fake or annoying, bringing down their satisfaction level.