Table 4
Top half: slope (m), intercept (n), and Pearson correlation coefficient (r) of the power-law fit to the correlation between the logarithm of the H2O line luminosity and the logarithm of the bolometric luminosity (Lbol, left-columns) and the logarithm of the envelope mass (Menv, right-columns). Bottom half: same as above, but for the correlation between the luminosity corresponding to the cavity shock component and Lbol or Menv.
| Line | log (LH2O) = n + m · log (Lbol) | log (LH2O) = n + m · log (Menv) | ||||
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| (GHz) | m | n | r | m | n | r |
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| 988 | 0.85 ± 0.05 | –3.48 ± 0.14 | 0.94 | 1.19 ± 0.05 | –2.91 ± 0.10 | 0.96 |
| 752 | 0.94 ± 0.05 | –3.59 ± 0.18 | 0.94 | 1.30 ± 0.06 | –2.91 ± 0.12 | 0.96 |
| 1097 | 0.76 ± 0.05 | –3.23 ± 0.18 | 0.95 | 1.11 ± 0.08 | –2.94 ± 0.18 | 0.93 |
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| log (Lbroad H2O) = n + m · log (Lbol) | log (Lbroad H2O) = n + m · log (Menv) | |||||
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| 988 | 0.79 ± 0.04 | –3.43 ± 0.14 | 0.94 | 1.11 ± 0.05 | –2.90 ± 0.10 | 0.96 |
| 752 | 0.83 ± 0.05 | –3.37 ± 0.18 | 0.94 | 1.15 ± 0.06 | –2.80 ± 0.13 | 0.95 |
| 1097 | 0.73 ± 0.05 | –3.34 ± 0.19 | 0.95 | 1.08 ± 0.08 | –3.06 ± 0.18 | 0.93 |
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