We report an empirical relation between the radial accelerations by baryons (
) and dark matter (
) derived from kinematic analyses of
nearly round, pure bulge, non-rotating elliptical galaxies, selected from Sloan Digital Sky Survey DR7. For an acceleration range
above
~m~s
, we find $a_{\rm DM}/a_{\rm B}
... [Show full abstract] = 10^{p} (a_{\rm B}/a_0)^q with p = -0.08 \pm 0.02 (stat) \pm 0.1q=-0.93\pm 0.03 (stat) \pm 0.1a_0$. Our results point to a particular direction in theories of dark matter or modified gravity.