Difference between Correlation and Regression

 

Correlation

Regression

Meaning

 Correlation is the relationship between two or more variable, which vary in the same or the opposite direction. Regression is mathematical measure showing the average relationship between two variables.

Variables

 Both the variables x and y are random variables. Here x is a random variable and y is a fixed variable. Sometimes both the variables may be random variables.

Relationship

 It finds out the degree of relationship between two variable and not cause the effect of the variable. It indicates the cause and effect relationship between the variables and establishes a functional relationship.

Uses

 It is used for testing and verifying the relation between two variables and gives limited information. Besides verification, it is used for the prediction of one value, in relationship to the other given value.

Value

 The coefficient correlation is a relative measure. Regression coefficient is an absolute figure.

Applications

 It has limited applications, because it is confined only to linear relationship between the variables. It has wider applications, as it studies linear and non-linear relationship between the variables.

Mathematical Treatment

 It is not very useful for further mathematical treatment. It is widely used for further mathematical treatment.