Scaling relations between T_eff,TiO and T_eff,J (left) and between T_eff,TiO and T_eff,i (right). The scattered data points and their uncertainties are taken from Davies et al. (2013, 2015). The thick black line indicates the best-fit scaling relation, the gray shaded band shows the combination of slopes and offsets acceptable within a 1σ uncertainty and the black dotted lines indicate the scatter on the best-fit relation. In red, we show a simple linear fit to the data when one excludes the effect of asymmetric uncertainties. We show a 1:1 relation for comparison. The color bar indicates the mass-loss rates obtained with DUSTY. The sizes of the markers increase proportionally to metallicity.