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Table 4

Linear fits performed to the trends in several photometric planes of real Type III S0s and the Type III S0-like remnants.

Observational data Major merger simulations
No. Photometric relation m c 0 χ 2 ρ m c 0 χ 2 ρ
(1) (2) (3) (4) (5) (6) (7) (8) (9) (10)
1 hi vs. RbrkIII 0.224 ± 0.032 0.20 ± 0.30 7.807 0.835 0.207 ± 0.022 0.61 ± 0.73 64.654 0.818
2 ho vs. RbrkIII 0.83 ± 0.17 –1.9 ± 1.6 175.896 0.805 0.805 ± 0.090 –6.1 ± 3.0 1105.918 0.800
3 μ0,i vs. RbrkIII 0.195 ± 0.052 17.87 ± 0.48 20.340 0.634 0.0879 ± 0.0095 17.38 ± 0.32 12.178 0.811
4 μ0,o vs. RbrkIII 0.270 ± 0.061 19.49 ± 0.59 20.368 0.742 0.117 ± 0.011 19.44 ± 0.37 16.906 0.843
5 μbrkIII vs. RbrkIII 0.224 ± 0.074 21.84 ± 0.72 30.036 0.603 0.1150 ± 0.0080 21.18 ± 0.27 8.705 0.906
6 μ0,i vs. hi 0.94 ± 0.14 17.55 ± 0.33 11.074 0.821 0.396 ± 0.024 17.33 ± 0.18 4.968 0.928
7 μ0,o vs. ho 0.261 ± 0.051 20.45 ± 0.36 17.10 0.79 0.1225 ± 0.0094 20.79 ± 0.20 12.300 0.888
8 hi/R25 vs. RbrkIII/R25 0.226 ± 0.035 0.021 ± 0.043 0.112 0.813 0.237 ± 0.017 –0.013 ± 0.023 0.132 0.899
9 ho/R25 vs. RbrkIII/R25 0.57 ± 0.18 0.01 ± 0.22 2.403 0.602 0.812 ± 0.069 –0.240 ± 0.093 2.108 0.870
10 μ0,i vs. RbrkIII/R25 2.01 ± 0.44 17.24 ± 0.53 16.903 0.709 1.63 ± 0.14 18.15 ± 0.19 9.045 0.864
11 μ0,o vs. RbrkIII/R25 2.41 ± 0.56 19.11 ± 0.69 21.133 0.731 2.03 ± 0.20 20.65 ± 0.27 17.395 0.838
12 μbrkIII vs. RbrkIII/R25 2.77 ± 0.48 20.64 ± 0.58 15.135 0.824 1.96 ± 0.15 21.41 ± 0.21 10.395 0.887
13 hi/ho vs. RbrkIII/hi –0.094 ± 0.039 0.90 ± 0.17 0.522 –0.496 –0.079 ± 0.016 0.016 ± 0.075 0.236 –0.583
14 hi/ho vs. RbrkIII/ho 0.177 ± 0.035 0.151 ± 0.077 0.289 0.763 0.223 ± 0.021 0.007 ± 0.037 0.103 0.884
15 (μ0,i − μbrkIII) vs. hi/ho 0.7 ± 1.5 –4.57 ± 0.82 22.927 0.113 4.13 ± 0.96 –6.29 ± 0.38 14.822 0.540
16 (μ0,o − μbrkIII) vs. hi/ho –5.9 ± 1.1 1.10 ± 0.60 12.502 –0.803 –3.99 ± 0.40 –0.12 ± 0.16 2.592 –0.829
17 (μ0,o − μ0,i) vs. hi/ho –6.53 ± 0.54 5.68 ± 0.30 3.092 –0.949 –8.12 ± 0.71 6.17 ± 0.28 8.057 –0.863

Notes. Columns: (1) ID number of the photometric relation. (2) Fitted photometric relation. (3) Slope of the linear fit to the observational data (E08; G11). (4) Y-intercept of the linear fit to the observational data. (5) Pearson’s cumulative test statistic for the observational linear fit. (6) Pearson product-moment correlation coefficient for the observational linear fit. (7) Slope of the linear fit to our major merger S0-like remnants. (8) Y-intercept of the linear fit to the major merger S0-like remnants. (9) Pearson’s cumulative test statistic for the linear fit to the major merger simulations data. (10) Pearson product-moment correlation coefficient for the major merger simulations data.

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