Top: true (red), and predicted distributions reconstructed Ν times with ML_w/z (purple) and ML_wo/z (yellow) of the bolometric luminosity for a training source. The true value is represented by a normal distribution by taking into account the measurement error σ_true and assuming it to be gaussian. Bottom: mean pull distribution for the L_Bo] for all training sources, taking all μ_true – μ_pred values for ML_w/z (red) and ML_wo/z (purple).