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Purpose. Coefficient of determination (R-squared) indicates the proportionate amount of variation in the response variable y explained by the independent variables X in the linear regression model. The larger the R-squared is, the more variability is explained by the linear regression model.
The coefficient of determination R 2 is a measure of the global fit of the model. Specifically, R 2 is an element of [0, 1] and represents the proportion of variability in Y i that may be attributed to some linear combination of the regressors (explanatory variables) in X.