Multiple random realizations of the line-center Q/I (left panels) and U/I (right panels) signals of the Lyα line sampled from the CTR model with parameters ﹩{{\boldsymbol{\theta }}}_{0}=\{{a}_{0},{\bar{B}}_{0}\}=\{5,50\,{\rm{G}}\}﹩. For an increasing number of data points, N (i.e., the number of pixels along the imaginary spectrograph slit extending from μ = 0.1 to 0.9), the fractional polarization signals are distributed around the average CLV curves (shown with the red lines) according to the PDF ﹩{P}_{0}^{{\mu }_{i}}({q}_{i},{u}_{i}| {{\boldsymbol{\theta }}}_{0})﹩, where i = 1, …, N. We have added Gaussian noise with a standard deviation σ = 0.05% to the data (the 1σ bars are only shown in the top panels).