Fig. A.1.

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Vertical and orthogonal likelihood fitting on mock data resembling the local stellar and baryonic Tully-Fisher datasets. Upper Panel: Mock dataset depicted as open black circles with errors, accompanied by the best-fit lines. The solid black line represents the true slope of 3.5 used for generating the mock data. The blue and red solid lines correspond to the best fits obtained using the vertical and orthogonal likelihood methods, respectively. Both best-fit lines are followed by 3σ intrinsic scatter regions, indicated with the same color code as the best fits. Lower Panel: Posterior distributions resulting from MCMC-fitting for the vertical and orthogonal likelihoods are shown in blue and red, respectively. The contours within these corner plots illustrates the 68%, 90%, and 99% credible intervals.
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