Results of Monte Carlo simulations of random obscuring spherical clumps in front of a spherical photosphere. The models are shown for clump scales of R _clump/ R _, = 0.1 (blue ), 0.2 (red ×), 0.3 (green ), and 0.4 (black *). Solid lines are for simulations with k = 0.5, while dashed lines indicate simulations with k = 0. The shaded area indicates the permitted values of line polarization, according to Equation (3), for a continuum polarization of 0.36% determined by Chornock et al. (2006). Lower values of the continuum polarization (0.17% determined here) place even stricter upper limits on the scale of clumping. Minor fluctuations in the curves are due to the statistical nature of the Monte Carlo simulations; except for the case of R _clump/ R _ph = 0.4 for I _line/ I _cont>0.8, where the results are dominated by the finite size of the "pixels" that compose the model photosphere.