Left: Ratio of the AGN bolometric luminosity and the X-ray luminosity as a function of the bolometric luminosity for type 2 AGN. The small brown points represent X-ray-selected type 2 AGN in COSMOS (Lusso et al. 2012). The red points are the lower limits obtained for each JWST type 2 source in M25. The magenta star shows the k_bol obtained from the observed 2–10 keV luminosity derived from the 10–30 keV stacked detection assuming a Compton-thick spectrum with N_H = 2 × 10²⁴ cm⁻² (blue curve in Figure 5), at the median L_bol of the sample. The horizontal error bar corresponds to the 16th and 84th percentiles of the observed distribution of bolometric luminosities in the stacked sample. The k_bol corresponding to absorption-corrected intrinsic luminosities derived for N_H of 5 × 10²³, 2 × 10²⁴, and 10²⁵ cm⁻² is shown with the black error bars. The violet data point is equivalent to the magenta one, but L_bol is derived from [O III] using the Netzer (2019) bolometric correction. The X-ray-detected heavily obscured source XID 403 is shown with a blue diamond. The k_bol, X from the de-absorbed luminosity is shown with the empty symbol. Right: Same as the left panel, but for type 1 AGN. The green and cyan small points represent X-ray-selected type 1 AGN in COSMOS from Lusso et al. (2012) and QSOs from Lusso et al. (2020). The blue points are lower limits and detections for type 1 sources in M25. The dark blue star indicates the k_bol limit for the stacked type 1 sources in the CDFN obtained from the observed upper limits assuming a spectrum with Γ = 1.7. The black error bars were computed using the same assumptions as for the type 2 sample in the left panel. The horizontal error bar corresponds to the 16th and 84th percentiles of the observed distribution of bolometric luminosities in the stacked sample (see text for a more detailed description). In both panels, the black continuous line shows the k_bol, X − L_bol relation from (Duras et al. 2020) while the gold area shows the scatter. The region below k_bol = 1 is marked as unphysical as it would imply that L_{2 − 10 keV} > L_bol.