Fig. C.1.
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Posterior probability distributions of BFJR fit parameters when selecting galaxies with gbar < 0.6a0. Top: Results from the orthogonal MCMC fit, showing the marginalized and joint posterior distributions for the slope, intercept, and intrinsic scatter of the BFJR. Bottom: Results from the vertical MCMC fit using the same data. The best-fit values and 1σ uncertainties are indicated by red lines and annotations. Contours correspond to the 1σ and 2σ credible regions. The comparison demonstrates the impact of the fitting method on the derived BFJR parameters and their uncertainties.
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