f_bursty versus L_X in three redshift bins. The lines show the model predictions obtained by selecting AGNs with M_∗ ≥ 10¹⁰ M_⊙, M_∗ ≥ 10^10.5 M_⊙, and M_∗ ≥ 10^10.9 M_⊙ from left to right. Solid lines indicate the stellar mass limits used to derive the observational fractions. The data points are derived using the FIR-based SFRs and M_∗ was derived by Santini et al. (2012). The plotted value of L_X is the median value for sources in each luminosity bin. Vertical error bars indicate the 1σ binomial uncertainties. Horizontal error bars indicate the luminosity bin sizes which are optimized to have roughly the same number of sources in each bin.