# set terminal pngcairo  transparent enhanced fontscale 1.0 size 600, 400 
# set output 'fit.6.png'
set bar 1.000000 front
set style circle radius graph 0.02, first 0.00000, 0.00000 
set style ellipse size graph 0.05, 0.03, first 0.00000 angle 0 units xy
set key bmargin center horizontal Right noreverse enhanced autotitle nobox
set style textbox transparent margins  1.0,  1.0 border
unset logscale
unset paxis 1 tics
unset paxis 2 tics
unset paxis 3 tics
unset paxis 4 tics
unset paxis 5 tics
unset paxis 6 tics
unset paxis 7 tics
set title "fitted to realistic model function" 
set xlabel "Temperature T (°C)" 
set ylabel "Density (g/cm^3)" 
set paxis 1 range [ * : * ] noreverse nowriteback
set paxis 2 range [ * : * ] noreverse nowriteback
set paxis 3 range [ * : * ] noreverse nowriteback
set paxis 4 range [ * : * ] noreverse nowriteback
set paxis 5 range [ * : * ] noreverse nowriteback
set paxis 6 range [ * : * ] noreverse nowriteback
set paxis 7 range [ * : * ] noreverse nowriteback
set colorbox vertical origin screen 0.9, 0.2, 0 size screen 0.05, 0.6, 0 front  noinvert bdefault
l(x) = y0 + m*x
high(x) = mh*(x-Tc) + dens_Tc
lowlin(x)  = ml*(x-Tc) + dens_Tc
curve(x) = b*tanh(g*(Tc-x))
density(x) = x < Tc ? curve(x)+lowlin(x) : high(x)
myencoding = "utf8"
y0 = 1.06865074176486
m = -0.000943519626924529
GPFUN_l = "l(x) = y0 + m*x"
x = 0.0
FIT_CONVERGED = 1
FIT_NDF = 31
FIT_STDFIT = 0.0137395924378767
FIT_WSSR = 0.00585206841112775
FIT_P = 1.0
FIT_NITER = 19
y0_err = 0.00148404909012443
m_err = 3.15383626024729e-05
ml = -0.00103152542276233
mh = -0.0008340717673769
dens_Tc = 1.02499621370905
Tc = 46.0665367045608
g = 6.92493866108287
b = 0.00139548391000006
GPFUN_high = "high(x) = mh*(x-Tc) + dens_Tc"
GPFUN_lowlin = "lowlin(x)  = ml*(x-Tc) + dens_Tc"
GPFUN_curve = "curve(x) = b*tanh(g*(Tc-x))"
GPFUN_density = "density(x) = x < Tc ? curve(x)+lowlin(x) : high(x)"
ml_err = 1.62623230565094e-05
mh_err = 3.737890801507e-06
dens_Tc_err = 7.27819513635249e-06
Tc_err = 0.00159887430059728
g_err = 0.429342070879149
b_err = 5.81804522574664e-05
## Last datafile plotted: "lcdemo.dat"
plot 'lcdemo.dat' using 1:2:5 with errorbars, density(x)
## fit density(x) 'lcdemo.dat' using 1:2:5 yerror via 'start.par'