  We derive the scatter in the relationship between redshift and radio-to-submm
spectral index, alpha^{350}_{1.4}, using the observed spectral energy
distributions of 17 low redshift star forming galaxies. A mean galaxy model is
derived, along with the rms scatter in alpha^{350}_{1.4}. The scatter is
roughly constant with redshift. Constant rms scatter, combined with the
flattening of the mean alpha^{350}_{1.4} -- z relationship with increasing
redshift, leads to increasing uncertainty for redshift estimates at high
redshifts. Normalizing by the dust temperature in the manner proposed by Blain
decreases the scatter in alpha^{350}_{1.4} for most of the sample, but does not
remove outliers, and free-free absorption at rest frequencies above 1.4 GHz is
not likely to be a dominant cause for scatter in the alpha^{350}_{1.4} -- z
relationship. We re-derive the cumulative redshift distribution of the 14 field
galaxies in a recent submm and radio source sample of Smail et al.. The most
likely median redshift for the distribution is 2.7, with a conservative lower
limit of z = 2, as was also found by Smail et al. based on the original
alpha^{350}_{1.4} -- z models. The normalization and shape of the redshift
distribution for the faint submm sources are consistent with those expected for
forming elliptical galaxies.
