We present evidence that there is a significant correlation between the fra
ction of the mass of a galaxy that lies in its central black hole and the a
ge of the galactic stellar population. Since the absorption-line indices th
at are used to estimate the age are luminosity-weighted, they essentially m
easure the time since the last significant episode of star formation in the
galaxy. The existence of this correlation is consistent with several theor
ies of galaxy formation, including the currently favoured hierarchical pict
ure of galaxy evolution, which predicts just such a relation between the bl
ack hole mass and the time since the last burst of merger-induced star form
ation. It is not consistent with models in which the massive black hole is
primordial, and hence uncoupled from the stellar properties of the galaxy.