What statistical technique shows how variables rely or depend on each other?

The concept of dependence between variables typically refers to how the value of one variable can affect or is related to another variable. In statistical analysis, different techniques are used to measure this dependence.

The statistical technique that is specifically designed to assess the relationship and dependency of variables on one another is regression analysis. Regression analysis provides a way to model the relationship between a dependent variable and one or more independent variables. It quantifies how changes in the independent variables are associated with changes in the dependent variable, making it a foundational tool in understanding predictive relationships in data.

While correlation methods can identify the strength and direction of a linear relationship between two variables, it does not imply causation or the nature of the dependency as explicitly as regression. Cluster analysis, on the other hand, is used for grouping similar data points together rather than analyzing dependencies between variables. Therefore, while "dependence methods" may theoretically suggest a similar concept, the most recognized and utilized method for understanding how variables rely on each other in a formal context is regression analysis.