Table 2
Linear fits performed to the trends of Type-III galaxies in the photometric planes relating hi and ho with RbrkIII.
1) log (hi) vs. log (RbrkIII) | ||||||||
All | Spirals | S0 | Sa–Sab | Sb–Sbc | Sc–Scd | Barred | Unbarred | |
|
||||||||
m | 0.71![]() |
0.65![]() |
0.80![]() |
0.38![]() |
0.90![]() |
... | 0.82![]() |
0.69![]() |
1.006![]() |
0.97![]() |
1.053![]() |
0.98![]() |
0.91![]() |
0.85![]() |
0.96![]() |
1.05![]() |
|
C 0 | –0.36![]() |
–0.30![]() |
–0.44![]() |
–0.02![]() |
–0.55![]() |
... | –0.48![]() |
–0.32![]() |
–0.613![]() |
–0.62![]() |
–0.59![]() |
–0.62![]() |
–0.57![]() |
–0.57![]() |
–0.59![]() |
–0.62![]() |
|
ρ | 0.823 | 0.740 | 0.877 | 0.706 | 0.857 | ... | 0.856 | 0.761 |
0.896 | 0.869 | 0.939 | 0.791 | 0.775 | 0.833 | 0.932 | 0.861 | |
p S | 7.08e-11 | 2.89e-04 | 1.87e-07 | 1.02e-02 | 1.37e-02 | ... | 2.34e-05 | 1.55e-05 |
7.96e-23 | 2.39e-10 | 5.24e-15 | 2.62e-04 | 4.08e-02 | 1.02e-02 | 1.90e-13 | 1.35e-10 | |
N pairs | 40 | 19 | 21 | 12 | 7 | ... | 16 | 24 |
62 | 31 | 31 | 16 | 7 | 8 | 29 | 33 | |
|
||||||||
2) log (hi/R25) vs. log (RbrkIII/R25) | ||||||||
All | Spirals | S0 | Sa–Sab | Sb–Sbc | Sc–Scd | Barred | Unbarred | |
|
||||||||
m | 0.62![]() |
0.60![]() |
0.65![]() |
0.52![]() |
0.77![]() |
... | 0.77![]() |
0.57![]() |
0.649![]() |
0.65![]() |
0.74![]() |
0.56![]() |
0.88![]() |
0.85![]() |
0.67![]() |
0.67![]() |
|
C 0 | –0.619![]() |
–0.629![]() |
–0.608![]() |
–0.627![]() |
–0.641![]() |
... | –0.636![]() |
–0.601![]() |
–0.625![]() |
–0.657![]() |
–0.569![]() |
–0.644![]() |
–0.651![]() |
–0.686![]() |
–0.637![]() |
–0.597![]() |
|
ρ | 0.800 | 0.721 | 0.806 | 0.762 | 0.750 | ... | 0.847 | 0.766 |
0.801 | 0.860 | 0.871 | 0.782 | 0.893 | 0.619 | 0.859 | 0.770 | |
p S | 5.79e-10 | 4.95e-04 | 1.01e-05 | 3.95e-03 | 5.22e-02 | ... | 3.47e-05 | 1.28e-05 |
5.42e-15 | 5.86e-10 | 1.87e-10 | 3.41e-04 | 6.81e-03 | 1.02e-01 | 2.45e-09 | 1.64e-07 | |
N pairs | 40 | 19 | 21 | 12 | 7 | ... | 16 | 24 |
62 | 31 | 31 | 16 | 7 | 8 | 29 | 33 | |
|
||||||||
3) log (ho) vs. log (RbrkIII) | ||||||||
All | Spirals | S0 | Sa–Sab | Sb–Sbc | Sc–Scd | Barred | Unbarred | |
|
||||||||
m | 0.72![]() |
0.49![]() |
1.00![]() |
0.31![]() |
0.51![]() |
... | 0.27![]() |
0.99![]() |
1.08![]() |
1.03![]() |
1.16![]() |
1.05![]() |
0.67![]() |
0.98![]() |
1.05![]() |
1.12![]() |
|
C 0 | 0.04![]() |
0.26![]() |
–0.25![]() |
0.47![]() |
0.16![]() |
... | 0.39![]() |
–0.20![]() |
–0.39![]() |
–0.38![]() |
–0.43![]() |
–0.37![]() |
–0.07![]() |
–0.44![]() |
–0.42![]() |
–0.39![]() |
|
ρ | 0.594 | 0.391 | 0.798 | 0.448 | 0.107 | ... | 0.363 | 0.675 |
0.868 | 0.839 | 0.900 | 0.824 | 0.714 | 0.976 | 0.918 | 0.882 | |
p S | 1.07e-04 | 9.77e-02 | 7.30e-05 | 1.45e-01 | 8.19e-01 | ... | 2.23e-01 | 2.98e-04 |
7.07e-20 | 3.83e-09 | 5.97e-12 | 8.84e-05 | 7.13e-02 | 3.31e-05 | 2.45e-12 | 1.14e-11 | |
N pairs | 37 | 19 | 18 | 12 | 7 | ... | 13 | 24 |
62 | 31 | 31 | 16 | 7 | 8 | 29 | 33 | |
|
||||||||
4) log (ho/R25) vs. log (RbrkIII/R25) | ||||||||
All | Spirals | S0 | Sa–Sab | Sb–Sbc | Sc–Scd | Barred | Unbarred | |
|
||||||||
m | 0.60![]() |
0.54![]() |
0.80![]() |
0.42![]() |
0.8![]() |
... | 0.31![]() |
0.76![]() |
0.73![]() |
0.59![]() |
0.92![]() |
0.49![]() |
0.81![]() |
1.2![]() |
0.85![]() |
0.75![]() |
|
C 0 | –0.220![]() |
–0.216![]() |
–0.245![]() |
–0.206![]() |
–0.25![]() |
... | –0.259![]() |
–0.208![]() |
–0.333![]() |
–0.363![]() |
–0.298![]() |
–0.324![]() |
–0.353![]() |
–0.441![]() |
–0.381![]() |
–0.293![]() |
|
ρ | 0.614 | 0.619 | 0.581 | 0.608 | 0.571 | ... | 0.264 | 0.753 |
0.753 | 0.683 | 0.865 | 0.624 | 0.643 | 0.786 | 0.893 | 0.739 | |
p S | 5.30e-05 | 4.69e-03 | 1.15e-02 | 3.58e-02 | 1.80e-01 | ... | 3.84e-01 | 2.17e-05 |
1.65e-12 | 2.29e-05 | 3.36e-10 | 9.86e-03 | 1.19e-01 | 2.08e-02 | 7.69e-11 | 9.21e-07 | |
Npairs | 37 | 19 | 18 | 12 | 7 | ... | 13 | 24 |
62 | 31 | 31 | 16 | 7 | 8 | 29 | 33 |
Notes. For each photometric relation, we list the results obtained from the linear fits performed to the various galaxy subsamples in columns (all galaxies, spirals, S0s, Sa–Sab’s, Sb–Sbc’s, Sc–Scd’s, barred galaxies, and unbarred galaxies). The first row of results in each parameter (for each relation and galaxy subsample considered) corresponds to the fits performed to the data in the R band, while the second row corresponds to the results in the 3.6 μm band. In each linear fit, we provide the slope (m), the Y-intercept value (C0), the Pearson coefficient of linear correlation (ρ), the Spearman rank probability of random correlation (pS), and the number of data pairs available for each fit (see Sect. 3 for more details).
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