Correlations between the residual and BH properties. Panels from top to bottom show BH mass attributed to torque accretion (M_Torque), the torque accretion rate (Ṁ_Torque), BH mass attributed to Bondi accretion (M_Bondi), the Bondi accretion rate (Ṁ_Bondi) and the Eddington ratio (f_edd), colour-coded by log M_*. Red dashed lines in the bottom row indicate f_edd = 0.2, where jet mode feedback is triggered. In the panels for Ṁ_Torque, Ṁ_Bondi, and f_edd, BHs with zero accretion rate are assigned a value of 10⁻⁷. Panels from left to right show these relations at z = 0, z = 1, z = 2, and z = 3, respectively. Correlation coefficients between these relations are shown at the bottom of each panel.