Fig. 3 | Scientific Reports

Fig. 3

From: Polynomial modelling of high-quality yet incomplete rare earth element data sets and a holistic assessment of REE anomalies

Fig. 3

Root mean squared (RMS) deviation of model prediction from measured data in PetDB dataset. SPM was conducted with maximum polynomial degrees from one to eight. Cerium and Eu are not shown, since they were excluded in many samples’ fitting due to anomalies. The RMS deviation of each REE shows asymptotic behaviour, approaching a lower limit of around 5% at a maximum polynomial degree of three. This behaviour indicates that a maximum polynomial degree of three is optimal, while higher degrees can cause overfitting.

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