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Table 4.

Parameters and marginalised 68% uncertainties of the best-fitting analytical model (Eqs. 25), and the natural logarithm of the radial intrinsic scatter term, for the fits to the EXCPReS and REXCESS samples. The fits are illustrated in Fig. 10.

Parameter EXCPReS REXCESS
Tmin 0 . 509 0.452 + 0.452 $ 0.509_{-0.452}^{+0.452} $ 0 . 460 0.377 + 0.377 $ 0.460_{-0.377}^{+0.377} $
T0 1 . 161 0.099 + 0.149 $ 1.161_{-0.099}^{+0.149} $ 1 . 160 0.101 + 0.097 $ 1.160_{-0.101}^{+0.097} $
x 1 . 095 0.485 + 0.581 $ 1.095_{-0.485}^{+0.581} $ 1 . 261 0.379 + 0.391 $ 1.261_{-0.379}^{+0.391} $
xcool 0 . 039 0.254 + 0.185 $ 0.039_{-0.254}^{+0.185} $ 0 . 101 0.155 + 0.177 $ 0.101_{-0.155}^{+0.177} $
a 0 . 036 0.027 + 0.070 $ 0.036_{-0.027}^{+0.070} $ 0 . 043 0.033 + 0.067 $ 0.043_{-0.033}^{+0.067} $
acool 0 . 898 0.378 + 0.553 $ 0.898_{-0.378}^{+0.553} $ 1 . 282 0.369 + 0.514 $ 1.282_{-0.369}^{+0.514} $
b 2 . 360 0.533 + 0.992 $ 2.360_{-0.533}^{+0.992} $ 2 . 318 0.449 + 0.537 $ 2.318_{-0.449}^{+0.537} $
c 2 . 219 1.145 + 1.600 $ 2.219_{-1.145}^{+1.600} $ 3 . 130 1.272 + 1.064 $ 3.130_{-1.272}^{+1.064} $

σ1 0 . 648 0.348 + 0.336 $ 0.648_{-0.348}^{+0.336} $ 0 . 392 0.126 + 0.184 $ 0.392_{-0.126}^{+0.184} $
σ2 0 . 374 0.081 + 0.099 $ 0.374_{-0.081}^{+0.099} $ 0 . 274 0.049 + 0.064 $ 0.274_{-0.049}^{+0.064} $
σ3 0 . 173 0.040 + 0.051 $ 0.173_{-0.040}^{+0.051} $ 0 . 139 0.021 + 0.024 $ 0.139_{-0.021}^{+0.024} $
σ4 0 . 091 0.014 + 0.017 $ 0.091_{-0.014}^{+0.017} $ 0 . 099 0.013 + 0.014 $ 0.099_{-0.013}^{+0.014} $
σ5 0 . 060 0.012 + 0.012 $ 0.060_{-0.012}^{+0.012} $ 0 . 066 0.008 + 0.009 $ 0.066_{-0.008}^{+0.009} $
σ6 0 . 058 0.011 + 0.011 $ 0.058_{-0.011}^{+0.011} $ 0 . 031 0.012 + 0.013 $ 0.031_{-0.012}^{+0.013} $
σ7 0 . 225 0.033 + 0.044 $ 0.225_{0.033}^{+0.044} $ 0 . 143 0.033 + 0.036 $ 0.143_{-0.033}^{+0.036} $

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