We investigate the variation of galaxy clustering with luminosity usin
g the recently completed SSRS2 sample. Clustering measurements based o
n the two-point correlation function and the variance of counts in cel
ls reveal a strong dependence of clustering on luminosity for galaxies
brighter than L, while no significant variation is detected for fain
ter galaxies. We derive a relative bias versus magnitude relation that
can be compared with theoretical predictions. Existing models of gala
xy formation cannot reproduce adequately the simultaneous steep rise o
f biasing at high luminosities and the plateau at the low-luminosity e
nd. Improved modeling of halo-galaxy relation and larger samples inclu
ding low-luminosity galaxies are required to draw more definitive conc
lusions.