log g dependency on FR, T eff, and [Fe/H]. The left panel illustrates the distribution of points of the tightest relation in FR-T eff-log g space, where the colors introduce metallicity as a fourth dimension. The fit solutions to Eq. (13) at fixed [Fe/H] values of −3.5 dex, −1.75 dex, and 0.00 dex are shown as three parallel hyperplanes. The top right panel resembles the distribution in FR-log g space, only. There, dashed lines indicate the track of the iso-metallicity lines on the surface at a fixed temperature of 5000 K. The inlay shows the most extreme spectra in terms of gravity, as well as the two wavelength regions the FR was computed from (blue). The fit residuals with respect to FR are presented in the lower right frame. All three scatter-plots follow the same [Fe/H] color coding as indicated by the bar on the right.
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