H-C11-REAL-REAL Hubble bias and Hubble scatter (Section 5.2) as a function of regularization weight. Top: Hubble bias Δμ of nominal (black), high (10 ×nominal, red), and low (0.1 ×nominal, blue) regularization as a function of redshift. The gray shaded region indicates 1σ uncertainty for the nominal Hubble bias. Uncertainties for high and low biases are similar, and have been omitted to increase readability. Bottom: Hubble scatter distributions for G10′-NONE-REAL-REAL trainings with differing levels of regularization. Line colors are identical to the top plot. Distance modulus and Hubble scatter have been calculated with simulated values of α and β. Model naming conventions are described in Table 2.