One way to measure the strength of the relationship between the response variable y and the predictor variable x is to calculate the coefficient of determination; that is, the proportion of the total variation in y that is explained by the linear regression of y on x.

Coefficient of Determination

This statistic measures the proportion of the variance in the dependent variable that is predictable from the independent variable(s) in a regression model, often represented as R².

Total Variation

The sum of squared differences between observed values and their overall mean in a dataset.

Predictor Variable

A variable used in statistical modeling to predict or explain changes in the dependent variable.