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Fig. 4

image

Distributions of the dispersion of polarization position angles as a functionof the polarization fraction from all of the datasets merged together. The points were selected according the method developed in Sect. 3.1. The color scale represents the number density of points in the plot. The solid black line and black points represent the running mean of ; the associated black error bars are ± the standard deviation of each bin. We plot the linear fit in purple, which is a linear regression. We take into account the saturation of in the derivation of the linear fit by applying a threshold in polarization fraction, indicated by the vertical dot-dashed gray line. This threshold denotes the level beyond which the distribution is linear. The solid red line corresponds to the Planck correlation from Planck Collaboration XII (2020), which we scaled down to the highest angular resolution of our ALMA observations. The red shaded area extends up to the same Planck correlation, scaled down this time to the largest field of view of ourALMA observations. As we gather all of the ALMA observations at their various angular resolutions, this red shaded area encompasses all of the corresponding scalings of the Planck correlation. The two parameters f and α are derived from the linear fit, where the analytical correlation is as follows: . The histograms in the two little subplots show the distributions of the values of α and f values derived from a large number of randomly chosen subsamples of points. We calculate the uncertainties in f and α as standard deviations of Gaussian fits to those histograms.

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