f_bursty versus L_X in three redshift bins. The solid lines show the model predictions obtained by selecting obscured AGNs with N_H > 10²² cm^-2 and M_∗ ≥ 10¹⁰ M_⊙. The upper and the lower envelopes of the shaded regions show f_bursty corresponding to the selection N_H ≥ 10^21.8 cm^-2 and N_H ≥ 10^22.2 cm^-2, respectively. The dashed lines show the predictions obtained by selecting obscured and unobscured AGNs with M_∗ ≥ 10¹⁰ M_⊙. The data points are derived using the SED-based SFRs and M_∗ as computed by Bongiorno 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.