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Table 3

Summary of the statistical analysis of the linear regressions for the sample.

Relation Class N d N c τ P τ m q
(1) (2) (3) (4) (5) (6) (7) (8)

L[O III]MH2 all 13 20 0.140 0.416 0.95 ± 0.30 −29 ± 17
LXMH2 all 11 15 0.092 0.647 0.82 ± 0.40 −25 ± 20
LoMH2 all 11 19 0.064 0.694 0.78 ± 0.40 −24 ± 22
LrMH2 all 17 15 –0.079 0.674 0.90 ± 0.40 −26 ± 17

Notes. Column description: (1) relation studied; (2) sample considered; (3) number of sources with both quantities detected; (4) number of sources that show at least an upper limit in one of the two quantities; (5) the generalized Kendall’s τ, considering all the data; (6) Pτ probability associated with τ that the correlation is not present; (7)–(8) slope coefficient m and intercept coefficient q for the linear regression (y = mx + q).

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