Luminosity correlation between the luminosities at absorption corrected 0.5–2 keV (L_{0.5 − 2 keV}^{(abs, corr)}) and 6 μm (L_6 μm). The symbols are the same as in Figure 5. The open green circles show the mean and standard deviation of L_{0.5 − 2 keV}^{(abs, corr)} for the eFEDS-DOG sample, and each bin has a range of log L_{0.5 − 2 keV}^{(abs, corr)} = 43.8–44.8, 44.8–45.3, 45.3–45.8, and 45.8–46.3. Open triangle, inverted triangle, square, pentagon, and crosses represent IR luminous quasars or hot-DOGs (Eisenhardt et al. 2012; Díaz-Santos et al. 2021) from Stern et al. (2014), Assef et al. (2016), Ricci et al. (2017a), Zappacosta et al. (2018), and Vito et al. (2018), respectively. Open hexagon represents a sample of Yamada et al. (2023); local (z < 0.1) U/LIRGs with a final merger stage, with two nuclei in common envelope (stage = “D”). The solid black line represents the slope in the study of optically selected quasars at 1.5 < z < 3, named Chen relation in this study (Stern 2015; Chen et al. 2017). The solid, dashed, and dotted blue lines represent the expected location of Eddington ratio of λ_Edd = 1.0, 0.3, and 0.1, respectively, estimated by Toba et al. (2019). Note that original Chen relation and λ_Edd lines are defined between L_{2 − 10 keV}^{(abs, corr)} and L_6 μm. We convert the original one to the L_{0.5 − 2 keV}^{(abs, corr)}–L_6 μm relation by assuming Γ = 1.8.