Residual-mean theory can be used to constrain the magnitude of an eddy transport coefficient. The dimensional terms in this coefficient are specified, and the only free parameter is dimensionless. The skill of any scaling for this coefficient can be evaluated using a multiple-tracers inversion method. A set of idealized baroclinic channel models is used to evaluate the skill of several proposed scalings. The scaling from residual-mean theory exhibits greater skill in all phases of baroclinic spindown.