What is the Difference Between Regression and Correlation?

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Correlation and regression are both techniques used to investigate the relationship between two quantitative variables. However, they serve different purposes and have some key differences:

  1. Purpose: Correlation quantifies the strength of the linear relationship between a pair of variables, while regression expresses the relationship in the form of an equation. In other words, correlation helps to constitute the connection between the two variables, whereas regression helps in estimating a variable's value based on another given value.
  2. Relationship: In correlation, there is no difference between the dependent and independent variables, while in regression, both the dependent and independent variables are different.
  3. Visualization: A single point represents a correlation, while a line visualizes a linear regression.
  4. Assumptions: Both correlation and regression assume that the relationship between the two variables is linear.

In summary, correlation is used to measure the strength of the linear relationship between two variables, while regression is used to predict the value of one variable based on the value of another variable. They both assume a linear relationship between the variables and are used for different purposes in statistical analysis.

Comparative Table: Regression vs Correlation

The main differences between regression and correlation are summarized in the table below:

Aspect Correlation Regression
Definition Correlation indicates the strength of association between variables. Regression is a statistical technique for estimating the change in a dependent variable due to the change in an independent variable.
Relationship Measures the degree to which both variables can move together. Specifies the effect of the change in the unit in the independent variable on the dependent variable.
Goal Aims at finding a numerical value that expresses the relationship between variables. Main purpose is to calculate the values of a random variable based on the values of a given variable.
Independent and Dependent Variables In correlation, both the independent and dependent values have no difference. In regression, both the dependent and independent variables are different.
Method Correlation helps to establish the connection between the two variables. Regression helps in estimating a variable's value based on another given value.

In summary, correlation measures the strength and direction of the relationship between variables, while regression is used to predict the value of a dependent variable based on the value of an independent variable.