Size–linewidth (top panel), size–density (middle panel), and size–virial parameter (bottom panel) relationships for the CHIMPS clumps, where the size parameter is the scaled intensity-weighted rms size (described in the text), ηR_σ, for which η = 2.0. In each case, the grey data points show the full sample, while the distance-limited sample is shown as colour-scaled data points, for which the lightest colours indicate the highest density of points. The blue lines show the best-fitted power-law for the distance-limited sample, for which we display the median error bars on the black data point in the lower-left corner. Thedashed green lines show the best fits to the full sample. The relationships derived in Larson (1981) are shown as black dotted lines for reference, and have been rescaled to match these quantities. Full details of the fits are given in Table 5.