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. 2020 Jan 28;10:1313. doi: 10.1038/s41598-019-57201-4

Table 2.

Summary of the central line equations, correlation coefficients, sample sizes, and Fisher z-transform statistics for the regression relations in this study.

Figure Central line ρ No of samples z SE(z) z/SE(z)
5 Rp42 = 0.99 Rp32 + 0.65 0.98 160 2.298 0.0798 29.0
15 R42 = 1.24 (R32)1.07 0.48 163 0.523 0.0791 6.7
16 G15 = 1.38 (G13)1.03 0.78 457 1.045 0.0469 22.3
17 G* = 0.0008(Ap)1.06 0.75 790 0.973 0.0356 27.3
18 G* = 0.51(P*)1.62 0.71 251 0.887 0.0635 14.0
19 G* = 0.26(B*)1.28 0.26 268 0.226 0.0614 4.3

(Symbols: Rp = EC inter-peak period; R = EC peak magnitude; G = GOES peak magnitude; Ap = geomagnetic index; P = Pdyn peak magnitude; B = Btot peak magnitude. According to the Fisher z-transform27,28, the probability of any of these correlations occurring by chance is less than 0.1% in every case. The values in column 7, z/SE(z), are converted to the probability estimate using a standard normal distribution table).