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Table A.4

Estimated coefficients for the linear model in Eq. (2) of RGB tip luminosity (dex), for different Z values.

Estimate Std. error Impact Importance
(dex) (dex) (dex)

Z = 0.0001
β 0 3.3628 0.0120
β1 (pp) –0.0086 0.0077 –0.0003 0.028
β2 (14N) 0.0377 0.0023 0.0038 0.405
β3 (kr) –0.1858 0.0046 –0.0093 1.000
β4 (vd) 0.0041 0.0015 0.0006 0.066
β5 (3α) –0.0402 0.0011 –0.0080 0.866
β6 (ν) 0.1552 0.0057 0.0062 0.668
β7 (kc) –0.0676 0.0047 –0.0034 0.364

Z = 0.0005
β 0 3.5049 0.0109
β1 (pp) –0.0062 0.0070 –0.0002 0.016
β2 (14N) 0.0271 0.0021 0.0027 0.231
β3 (kr) –0.2349 0.0041 –0.0117 1.000
β4 (vd) 0.0037 0.0014 0.0006 0.047
β5 (3α) –0.0362 0.0010 –0.0072 0.616
β6 (ν) 0.1258 0.0051 0.0050 0.428
β7 (kc) –0.0693 0.0042 –0.0035 0.295

Z = 0.001
β 0 3.5569 0.0101
β1 (pp) –0.0069 0.0065 –0.0002 0.017
β2 (14N) 0.0256 0.0019 0.0026 0.206
β3 (kr) –0.2478 0.0039 –0.0124 1.000
β4 (vd) 0.0039 0.0013 0.0006 0.048
β5 (3α) –0.0351 0.0010 –0.0070 0.566
β6 (ν) 0.1171 0.0048 0.0047 0.378
β7 (kc) –0.0719 0.0039 –0.0036 0.290

Z = 0.006
β 0 3.6840 0.0024
β1 (pp) –0.0020 0.0015 –0.0001 0.004
β2 (14N) 0.0277 0.0005 0.0028 0.185
β3 (kr) –0.2997 0.0009 –0.0150 1.000
β4 (vd) 0.0021 0.0003 0.0003 0.021
β5 (3α) –0.0303 0.0002 –0.0061 0.404
β6 (ν) 0.0816 0.0011 0.0033 0.218
β7 (kc) –0.0574 0.0009 –0.0029 0.192

Z = 0.01
β 0 3.7028 0.0132
β1 (pp) –0.0048 0.0085 –0.0001 0.010
β2 (14N) 0.0267 0.0025 0.0027 0.188
β3 (kr) –0.2845 0.0050 –0.0142 1.000
β4 (vd) 0.0054 0.0017 0.0008 0.057
β5 (3α) –0.0296 0.0013 –0.0059 0.416
β6 (ν) 0.0641 0.0062 0.0026 0.180
β7 (kc) –0.0616 0.0051 –0.0031 0.216

Z = 0.02
β 0 3.7215 0.0116
β1 (pp) 0.0000 0.0075 0.0000 0.000
β2 (14N) 0.0249 0.0022 0.0025 0.167
β3 (kr) –0.2988 0.0044 –0.0149 1.000
β4 (vd) 0.0030 0.0015 0.0004 0.030
β5 (3α) –0.0280 0.0011 –0.0056 0.374
β6 (ν) 0.0642 0.0055 0.0026 0.172
β7 (kc) –0.0553 0.0045 –0.0028 0.185

Notes.The column legend is the same as in Table A.2.

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