Thermal parameters as a function of background-subtracted GOES peak flux. Shown are the maxima of the emission measure EM (top), temperature T (middle), and electron density n (bottom) derived from RHESSI (left column) and GOES data (right column). Also shown are power-law fits obtained with the BCES bisector method (full black line). The slope α and intercept b of the obtained power law are shown together with the rank correlation coefficient R . Additionally, an exponential fit is shown for the temperatures (dashed gray lines), and the corresponding fit parameters γ and d are indicated (see main text). Where appropriate, correlations found by the following studies are indicated by dash-dotted lines: Feldman et al. (1996), Battaglia et al. (2005), Hannah et al. (2008), Ryan et al. (2012), Caspi et al. (2014a).