Time-averaged accretion rate ﹩\overline{\dot{M}}﹩ (top), feedback power ﹩\overline{{\dot{E}}_{{\rm{fb}}}}﹩ (middle), and feedback efficiency ﹩\overline{\eta }﹩ (bottom), for simulations with varying Bondi radii R_B and BH spins a_*. The scale at the bottom shows the Bondi radius R_B in units of the gravitational radius r_g, and the scale at the top shows the corresponding asymptotic temperature T_∞. Colors represent different BH spins. The approximate formulae for ﹩\overline{\dot{M}}﹩ (Equation (7)) and ﹩\overline{{\dot{E}}_{{\rm{fb}}}}﹩ (Equation (8)) are shown as straight lines in the top and middle panels.