radex results for the FWHM = 23.0 and 39.8 km s^-1 spot shocks for L1448-MM (top and upper-middle) and the cavity shock (lower-middle) for L1448-MM and the cavity shock component for IRAS2A (bottom). The left-hand panels show the best-fit (red cross) and 1, 3 and 5σ confidence limits (blue contours) for a grid in n_H2 and N_H2O. The black dashed contours show the corresponding radius of the emitting region. The middle panels show a spectral line energy distribution comparing the observed (blue for H₂O, green for HO) and best-fit model (red for H₂O, magenta for HO) results. The right-hand panels show the optical depth for each line for the best-fit model.