Comparison of our bivariate probability distribution Ψ(s,μ) (contours) with observational data of black holes with dynamical mass measurements (blue circles). The thick black line shows the mean relation  ⟨ μ ⟩ (s), the red dashed dotted line shows  ⟨ s ⟩ (μ). The black open squares gives the mean μ binned in s from the observations (an estimate of  ⟨ μ ⟩ (s)) and the red open triangles gives s binned in μ (an estimate of  ⟨ s ⟩ (μ)). Left panel: M_• − σ _∗  sample from Gültekin et al. (2009). Middle panel: M_• − M_K sample from Hu (2009). Right panel: M_• − M_bulge sample from Häring & Rix (2004).