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Table 3.

Kendall correlation coefficients (τ) and false-positive probability that the correlation is real (p) for our Mg II and [O II] scale length (rs) measurements versus diverse galaxy properties (Akritas & Siebert 1996; Flury et al. 2022b, see Sect. 3.4).

rsMg II rs[O II]

τ p τ p
rs[O II] 0.60 ± 0.09 3.14 × 10−4
rscont 0.43 ± 0.11 8.6 × 10−3 0.04 ± 0.08 8.1 × 10−1
Δ[Mg II]−cont 0.37 ± 0.14 2.5 × 10−2 0.59 ± 0.11 6.5 × 10−4
Δ[O II]−cont 0.0 ± 0.1 1 −0.07 ± 0.13 6.7 × 10−1
O32 −0.37 ± 0.11 2.1 × 10−2 −0.51 ± 0.08 2.3 × 10−3
EW(Hβ) −0.38 ± 0.14 1.8 × 10−2 −0.58 ± 0.1 5.3 × 10−4
12 + log(O/H) 0.39 ± 0.12 1.5 × 10−2 0.62 ± 0.07 2.1 × 10−4
r 50 UV $ r_{50}^{\mathrm{UV}} $ 0.35 ± 0.10 5.3 × 10−2 0.46 ± 0.1 1.3 × 10−2
Cf(H I) 0.28 ± 0.13 8.0 × 10−2 0.37 ± 0.1 2.5 × 10−2

Notes. Exponential scale length of the continuum (rscont, Fig. 4), spatial offset between the continuum and the Mg II emission centroids (Δ[Mg II]−cont, Fig. D.1, top left), spatial offset between the continuum and the [O II] emission centroids (Δ[O II]−cont, Fig. D.1, top right), [O III]/[O II] ratio (O32, Fig. 9, top left), Hβ equivalent width (EW(Hβ), Fig. 9, top middle), oxygen abundance (12 + log10( O H $ \frac{\mathrm{O}}{\mathrm{H}} $), Fig. 9, top right), NUV half light radius ( r 50 UV $ r_{50}^{\mathrm{UV}} $, Fig. 9, bottom left), and H I covering fractions (Cf(H I), Fig. 9, bottom right).

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