Polarization fractions as a function of Stokes I continuum intensities at 0.87 mm (top panel) or as a function of the H₂ column densities (bottom panel). Maps have been regenerated to share a common synthesized beam of about 5.5″ and rebinned to have a grid with a common pixel size of 1.8″. The continuum flux densities plotted in the top panel are in units of Jy/beam but are normalized to the peak intensity for each object. The solid lines are the best fit to the function p_frac ∝ (I/I_max)^a. The H₂ column densities plotted in the bottom panel are in units of cm⁻² and are derived using Eqs. (5) and (6).