  We combine observed metallicity, optical and infrared magnitudes with
evolutionary and pulsation models to derive average luminosities for 156
single-mode RR Lyrae stars. These luminosities are compared with those obtained
from the Gaia EDR3 parallaxes, and found in excellent agreement with the high
accuracy subsample (62 stars, with relative parallax errors less than 2%). With
the temperature and metallicity scale used, no parallax shift seems to be
necessary when alpha-enhanced evolutionary models are employed. Some 10% of the
sample shows curious `distance keeping' between the evolutionary and pulsation
models. The cause of this behavior is not clear at this moment but can be cured
by an excessive increase of the reddening.
