Water line luminosity at 988 GHz vs. bolometric luminosity for objects from WED used in the simulations, with inclusion of a few additional sources that were excluded from the simulations due to lack of M_env data (San José-García 2015). The solid black line shows the best-fit proportionality, the orange filled region corresponds to the 95% confidence region of the correlation, and the shaded red region represents the region that contains 95% of the measurements.