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Table 5.
Best-fit linear relations (y = Ax + B) tested in this work, together with their correlation coefficients, null-hypothesis probabilities referred to the goodness of the fit and statistical significance.
| Relation (y vs. x) | Slope (A) | Intercept (B) | Pearson | 1 − Pnull | σ | ||
|---|---|---|---|---|---|---|---|
| Γ | vs. | vC․IV | ( − 1.72 ± 0.79)×10−4 | 1.93 ± 0.19 | −0.901 | 0.9992 | 3.2 |
| Γ | vs. | log(Ms, Edd) | (3.87 ± 1.89)×10−1 | 0.96 ± 0.65 | 0.554 | 0.9944 | 2.5 |
| Γ | vs. | log(REWC IV) | ( − 3.66 ± 2.75)×10−1 | 2.79 ± 0.40 | −0.760 | 0.9825 | 2.4 |
| Γ | vs. | z | (4.62 ± 2.58)×10−1 | −0.71 ± 1.67 | 0.813 | 0.9794 | 2.3 |
| Γ | vs. | log(Lx) | ( − 1.10 ± 4.07)×10−1 | 7.30 ± 1.84 | −0.147 | 0.7506 | 1.1 |
| Γ | vs. | log(λEdd) | (2.94 ± 4.23)×10−1 | 2.31 ± 0.10 | 0.426 | 0.6287 | < 1 |
| Γ | vs. | log(MBH) | (4.57 ± 4.13)×10−2 | 1.85 ± 3.88 | 0.087 | 0.4305 | < 1 |
| Γ | vs. | log(Lbol) | (1.05 ± 2.87)×10−2 | −2.71 ± 1.47 | 0.172 | 0.0919 | < 1 |
| log(Lx) | vs. | z | ( − 2.48 ± 1.52)×10−1 | 46.86 ± 1.12 | −0.403 | 0.8611 | 1.5 |
| log(Lx) | vs. | vC․IV | (6.90 ± 4.53)×10−5 | 45.36 ± 0.12 | 0.436 | 0.8534 | 1.5 |
| log(Lx) | vs. | log(MBH) | (1.44 ± 2.78)×10−1 | 43.88 ± 2.60 | 0.157 | 0.8345 | 1.5 |
| log(Lx) | vs. | log(REWC IV) | (1.74 ± 2.18)×10−1 | 44.98 ± 0.31 | 0.263 | 0.8144 | 1.4 |
| log(Lx) | vs. | log(Ms, Edd) | ( − 1.74 ± 1.31)×10−1 | 45.83 ± 0.86 | −0.350 | 0.7874 | 1.3 |
| log(Lx) | vs. | log(Lbol) | (413 ± 2.60)×10−1 | 25.67 ± 12.32 | 0.395 | 0.7076 | 1.1 |
| log(Lx) | vs. | log(λEdd) | (1.50 ± 2.93)×10−1 | 45.25 ± 0.08 | 0.142 | 0.0806 | < 1 |
| log(REWC IV) | vs. | vC․IV | (1.58 ± 0.47)×10−4 | 1.77 ± 0.13 | 0.786 | 0.9999 | 3.7 |
| vC․IV | vs. | log(Ms, Edd) | ( − 1.64 ± 6.43)×10+2 | (3.30 ± 2.23)×10+3 | −0.603 | 0.9934 | 2.5 |
| log(Ms, Edd) | vs. | z | (1.06 ± 0.15) | −3.50 ± 1.02 | 0.867 | 0.9999 | 3.7 |
| vC․IV | vs. | z | ( − 2.03 ± 0.78)×10+3 | (1.09 ± 0.51)×10+4 | −0.613 | 0.9962 | 2.7 |
Notes. The most relevant relations are discussed in Section 5.
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