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Table A.3.

Weighted multilinear regressions of 3 variables fitting coefficients of the relation [s/α] = m1⋅Age + m2⋅ RGC + m3⋅ [Fe/H] + c for the Open Clusters in every region and the coefficients of the inverted stellar dating relation Age = ⋅ [s/α] + ⋅ RGC + ⋅ [Fe/H] + c’

RGC > 9 kpc
[s-/α] m1 ±Δm1 m2 ±Δm2 m3 ±Δm3 c ±Δc c’ m1’ m2’ m3’
[Y/Mg] −0.036± 0.007 −0.005±0.006 0.179±0.103 0.319±0.076 0.61 8.861 −27.778 −0.139 4.972
[Y/Al] −0.033±0.007 −0.005±0.006 0.320±0.115 0.338±0.076 0.59 10.242 −30.303 −0.152 9.697
[Y/Si] −0.025±0.009 0.004±0.006 0.176±0.121 0.180±0.081 0.37 7.2 −40.0 0.16 7.04
[Y/Ca] −0.015±0.008 0.016±0.005 0.352±0.129 −0.003±0.068 0.51 −0.2 −66.667 1.067 23.467
[Y/Ti] −0.042±0.007 −0.001±0.007 0.142±0.119 0.242±0.084 0.64 5.762 −23.81 −0.024 3.381
[Ba/Mg] −0.102±0.005 0.003±0.007 0.046±0.010 0.425±0.092 0.95 4.167 −9.804 0.029 0.451
[Ba/Al] −0.074±0.009 −0.013±0.007 −0.063±0.121 0.490±0.094 0.75 6.622 −13.514 −0.176 −0.851
[Ba/Si] −0.054±0.010 −0.020±0.007 −0.145±0.134 0.496±0.091 0.55 9.185 −18.519 −0.37 −2.685
[Ba/Ca] −0.055±0.006 0.021±0.000 0.002±0.000 −0.001±0.000 0.82 −0.018 −18.182 0.382 0.036
[Ba/Ti] −0.083±0.011 −0.028±0.008 −0.289±0.186 0.623±0.108 0.68 7.506 −12.048 −0.337 −3.482
7 < RGC < 9 kpc
[Y/Mg] −0.044±0.015 −0.019±0.034 0.256±0.314 0.379±0.272 0.32 8.614 −22.727 −0.432 5.818
[Y/Al] −0.051±0.014 0.025±0.001 0.002±0.000 0.004±0.000 0.42 0.078 −19.608 0.49 0.039
[Y/Si] −0.023±0.010 0.015±0.003 −0.001±0.000 0.002±0.000 0.18 0.087 −43.478 0.652 −0.043
[Y/Ca] −0.022±0.011 −0.034±0.026 −0.214±0.163 0.402±0.213 0.18 18.273 −45.455 −1.545 −9.727
[Y/TI] −0.022±0.016 −0.001±0.038 0.191±0.295 0.162±0.304 −0.03 7.364 −45.455 −0.045 8.682
[Ba/Mg] −0.035±0.015 −0.050±0.043 −0.436±0.414 0.594±0.343 0.38 16.971 −28.571 −1.429 −12.457
[Ba/Al] −0.053±0.028 −0.157±0.074 −1.429±0.530 1.596±0.573 0.57 30.113 −18.868 −2.962 −26.962
[Ba/Si] −0.036±0.020 −0.104±0.053 −1.039±0.419 1.060±0.410 0.56 29.444 −27.778 −2.889 −28.861
[Ba/Ca] −0.028±0.013 −0.070±0.032 −0.479±0.273 0.716±0.258 0.46 25.571 −35.714 −2.5 −17.107
[Ba/Ti] −0.032±0.017 −0.094±0.045 −0.863±0.329 0.983± 0.353 0.45 30.719 −31.25 −2.938 −26.969
RGC < 7 kpc
[Y/Mg] −0.015±0.074 0.191±0.115 0.641±0.786 −1.365±0.789 0.25 −91.0 −66.667 12.733 42.733
[Y/Al] −0.103±0.066 0.050±0.100 0.780±0.726 −0.307±0.683 0.12 −2.981 −9.709 0.485 7.573
[Y/Si] −0.015±0.056 0.133±0.082 0.011±0.620 −0.865±0.567 0.12 −57.667 −66.667 8.867 0.733
[Y/Ca] −0.024±0.037 0.108±0.067 0.194±0.355 −0.637±0.450 −0.01 −26.542 −41.667 4.5 8.083
[Y/Ti] −0.070±0.064 0.114±0.107 0.297±0.654 −0.609±0.711 −0.04 −8.7 −14.286 1.629 4.243
[Ba/Mg] −0.031±0.033 0.254±0.041 −0.173±0.279 −1.606±0.253 0.76 −51.806 −32.258 8.161 −5.581
[Ba/Al] −0.151±0.035 0.169±0.043 0.507±0.367 −0.976±0.299 0.84 −6.464 −6.623 1.119 3.358
[Ba/Si] −0.053±0.029 0.235±0.042 −0.403±0.287 −1.406±0.277 0.89 −26.528 −18.868 4.434 −7.604
[Ba/Ca] −0.009±0.043 0.111±0.056 −0.686±0.307 −0.517±0.354 0.76 −57.444 −111.111 12.333 −76.222
[Ba/Ti] −0.137±0.029 0.237±0.049 0.239±0.307 −1.333±0.330 0.88 −9.73 −7.299 1.73 1.745
global
[Y/Mg] −0.036±0.011 0.006±0.010 −0.166±0.122 0.129±0.079 0.16 3.583 −27.778 0.167 −4.611
[Y/Al] −0.039±0.007 −0.001±0.005 −0.190±0.060 0.191±0.032 0.54 4.897 −25.641 −0.026 −4.872
[Y/Si] −0.026±0.006 0.010±0.005 −0.125±0.062 0.035±0.032 0.34 1.346 −38.462 0.385 −4.808
[Y/Ca] −0.019±0.006 0.012±0.004 0.075±0.068 0.003±0.038 0.29 0.158 −52.632 0.632 3.947
[Y/Ti] −0.035±0.007 0.006±0.007 0.054±0.086 0.114±0.060 0.40 3.257 −28.571 0.171 1.543
[Ba/Mg] −0.103±0.006 0.038±0.003 0.025±0.021 0.050±0.046 0.86 0.485 −9.709 0.369 0.243
[Ba/Al] −0.089±0.012 −0.014±0.009 −0.603±0.134 0.448±0.083 0.55 5.034 −11.236 −0.157 −6.775
[Ba/Si] −0.061±0.009 −0.013±0.007 −0.536±0.112 0.340±0.068 0.51 5.574 −16.393 −0.213 −8.787
[Ba/Ca] −0.055±0.005 0.020±0.002 0.009±0.014 0.015±0.030 0.84 0.273 −18.182 0.364 0.164
[Ba/Ti] −0.066±0.008 −0.017±0.008 −0.477±0.102 0.397±0.076 0.56 6.015 −15.152 −0.258 −7.227

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