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Table 2 Statistical performance metrics commonly used in regression analysis

From: Wind speed prediction for site selection and reliable operation of wind power plants in coastal regions using machine learning algorithm variants

Metric

Full form

Equation

MSE

Mean squared error

\(\mathrm{MSE }= \frac{1}{{\text{n}}}\sum_{{\text{i}}=1}^{{\text{n}}}{\left({{\text{y}}}_{{\text{i}}}-{\widehat{{\text{y}}}}_{{\text{i}}}\right)}^{2}\)

MAE

Mean absolute error

\({\text{MAE}}=\frac{1}{{\text{n}}}\sum_{{\text{i}}=1}^{{\text{n}}}\left|{{\text{y}}}_{{\text{i}}}-{\widehat{{\text{y}}}}_{{\text{i}}}\right|\)

R2

Coefficient of determination

\({{\text{R}}}^{2}=1- \frac{\sum_{{\text{i}}=1}^{{\text{n}}}{\left({{\text{y}}}_{{\text{i}}}-{\widehat{{\text{y}}}}_{{\text{i}}}\right)}^{2}}{\sum_{{\text{i}}=1}^{{\text{n}}}{\left({{\text{y}}}_{{\text{i}}}-\overline{{\text{y}} }\right)}^{2}}\)