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Table A.2

Estimated coefficients for the linear model in Eq. (1) of BTO luminosity (dex), for different Z values.

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

Z = 0.0001
β 0 1.1455 0.0026
β1 (pp) 0.0581 0.0020 0.0017 0.086
β2 (14N) –0.0338 0.0006 –0.0034 0.167
β3 (kr) –0.4050 0.0012 –0.0202 1.000
β4 (vd) –0.0160 0.0004 –0.0024 0.119

Z = 0.0005
β 0 0.9593 0.0027
β1 (pp) 0.0730 0.0021 0.0022 0.128
β2 (14N) –0.0312 0.0006 –0.0031 0.183
β3 (kr) –0.3411 0.0012 –0.0171 1.000
β4 (vd) –0.0124 0.0004 –0.0019 0.109

Z = 0.001
β 0 0.8775 0.0026
β1 (pp) 0.0735 0.0020 0.0022 0.137
β2 (14N) –0.0315 0.0006 –0.0032 0.195
β3 (kr) –0.3229 0.0012 –0.0161 1.000
β4 (vd) –0.0124 0.0004 –0.0019 0.115

Z = 0.006
β 0 0.6031 0.0028
β1 (pp) 0.0650 0.0021 0.0020 0.141
β2 (14N) –0.0278 0.0006 –0.0028 0.202
β3 (kr) –0.2760 0.0012 –0.0138 1.000
β4 (vd) –0.0098 0.0004 –0.0015 0.106

Z = 0.01
β 0 0.5144 0.0030
β1 (pp) 0.0620 0.0023 0.0019 0.136
β2 (14N) –0.0250 0.0007 –0.0025 0.183
β3 (kr) –0.2737 0.0014 –0.0137 1.000
β4 (vd) –0.0074 0.0005 –0.0011 0.081

Z = 0.02
β 0 0.3715 0.0025
β1 (pp) 0.0571 0.0019 0.0017 0.138
β2 (14N) –0.0248 0.0006 –0.0025 0.200
β3 (kr) –0.2484 0.0011 –0.0124 1.000
β4 (vd) –0.0044 0.0004 –0.0007 0.053

Notes.In the first two columns: least-squares estimates of the regression coefficients and their errors; third column: physical impact of the variation Δpi of the various inputs; last column: relative importance of the impact with respect to the most important one.

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