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The usage of the radius-luminosity (R-L) relation for the determination ofblack hole masses across the cosmic history as well as its application forcosmological studies motivates us to analyze its scatter, which has recentlyincreased significantly both for the optical (H$\beta$) and UV (Mg II) lines.To this purpose, we determined the scatter along the R-L relation for anup-to-date reverberation-mapped Mg II sample. Studying linear combinations ofthe luminosity at 3000 A with independent parameters such as the Full Width atHalf Maximum (FWHM), Fe II strength (R$_\mathrm{FeII}$), and the fractionalvariability ($F\mathrm{_{var}}$) for the whole sample, we get only a smalldecrease in the scatter ($\sigma{_{\rm rms}}=0.29-0.30$ dex). Linearcombinations with the dimensionless accretion rate ($\dot{\mathcal{M}}$) andthe Eddington ratio ($\alpha_\mathrm{Edd}$) lead to significant reductions ofthe scatter ($\sigma_{\rm rms}\sim 0.1$ dex), albeit both suffering from theinter-dependency on the observed time-delay. After the division into twosub-samples considering the median value of the $\dot{\mathcal{M}}$ in the fullsample, we find that the scatter decreases significantly for the highlyaccreting sub-sample. In particular, the smallest scatter of $\sigma{_{\rmrms}}=0.17$ dex is associated with the independent parameter R$_\mathrm{FeII}$,followed by the combination with $F\mathrm{_{var}}$, with $\sigma{_{\rmrms}}=0.19$ dex. Both of these independent observationally-inferred parametersare in turn correlated with $\dot{\mathcal{M}}$ and $\alpha_\mathrm{Edd}$.These results suggest that the large scatter along the R-L relation is driven$\textit{mainly}$ by the accretion rate intensity.

Scatter Analysis Along the Multidimensional Radius-Luminosity Relations for Reverberation-Mapped Mg II Sources