Explained sum of squares: Difference between revisions

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:<math>\hat{y}_i=\hat{a}+\hat{b}_1 x_{1i} + \hat{b}_2 x_{2i} + \cdots \, </math>
 
is the ''i''<sup>&nbsp;th</sup> predicted value of the response variable. The ESS is the sum of the squares of the differences of the predicted values and the mean value of the response variablethen:
 
:<math>\text{ESS} = \sum_{i=1}^n \left(\hat{y}_i - \bar{y}\right)^2.</math>