In our analysis of the impact of beam smearing on the velocity dispersion and star-formation intensity, we adopted two relationshipsbetween these two quantities. One taken directly from the simulations (left panel), and another where we assumed (right panel). The model velocity dispersions are shown in red (these are not lines but many individual points). We also show the points (blue) after analyzing the artificial data cubes derived from the simulation which include the effects of beam smearing. The red  +  (red  × ) sign indicates the mean star-formation intensity and integrated (original input) velocity dispersion for the intrinsic relation between velocity dispersion and star-formation intensity, while the black  +  (black  × ) sign has the same meaning but now for the beam-smeared relationship.