The coefficient of discrimination, denoted ๐ ยฒ, is a commonly used performance metric for regression. It provides a measure of the proportion of the variance of a dependent variable that is explained by a regression model and defined by

Where ๐ฆ๐ is a dependent variable, ๐ฆฬ๐ is the output of the regression model, both indexed by ๐, and ำฏ is the mean of the dependent variable. ๐ ยฒ is always less than or equal to 1; the larger it is, the more the variance of the dependent variable is explained by the regression model.
The coefficient of discrimination is important because it is a commonly used and accepted performance metric for regression models.
How C3 AI Helps Organizations Use Coefficient of Discrimination, R-Squared (R2)
The coefficient of discrimination, or ๐ ยฒ, can be used readily as a performance metric by setting the scoring metric of a C3 MLPipe to MLRSquaredMetric.