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Table 4.

Correlation results for Figs. 19b, 20, 21, 22, 23, 24, 25, 26, 27, and 28, described in Sect. 7.4.

Correlation R-Value (a) P-Value (b) Scatter (dex)
κ2 − 10 − z 0.08 0.25 –
κ2 − 10 − L2 − 10 0.13 0.84 –
αox − κ2 − 10 −0.86 6.51 × 10−69 0.15 (c)
κ 4400 Å − L 4400 Å $ \kappa_{\mathrm{4400\,\AA}}-L_{\mathrm{4400\,\AA}} $ −0.14 0.03 –
κ 4400 Å − L bol $ \kappa_{\mathrm{4400\,\AA}}-L_{\mathrm{bol}} $ 0.15 0.02 –
κU − LU −0.25 9.50 × 10−5 0.27
κW1 − LW1 −0.42 9.86 × 10−12 0.30
κM2 − LM2 −0.52 2.24 × 10−17 0.33
κW2 − LW2 −0.61 6.09 × 10−25 0.37
κW2 − Lbol −0.22 5.80 × 10−4 0.45
κM2 − λEdd −0.20 1.80 × 10−3 0.38
κW2 − λEdd −0.26 7.68 × 10−5 0.45
κ0.2 − 2 − Lbol 0.30 2.56 × 10−6 0.36
κ0.2 − 2 − λEdd 0.22 8.43 × 10−4 0.37
κ14 − 195 − L14 − 195 −0.25 1.19 × 10−4 0.38
κ14 − 195 − Lbol 0.19 3.80 × 10−3 0.39
κ14 − 195 − λEdd 0.24 1.91 × 10−4 0.38

Notes. We also report the one sigma dispersion (or scatter in dex) for parameters with significant correlations.

(a)

The Pearson’s correlation coefficient.

(b)

The probability of the data set appearing if the null hypothesis is correct.

(c)

Best-fit achieved using a second-order polynomial.

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