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Table 2 Equations of the non-linear regressions for running times and sex differences

From: Relationship between age and elite marathon race time in world single age records from 5 to 93 years

   Equation SE r r2
Running time Men 5-93 years y = 6.65 - 0.0012 · x + 0.00000 · x 2 - 0.000000 · x3 + 0.00000 · x4 0.28 0.97 0.94
  Women 5-92 years y = 6.41 - 0.0012 · x + 0.00000 · x 2 - 0.000000 · x3 + 0.00000 · x4 0.26 0.98 0.97
  Men 18-80 years y = - 1.95 + 0.0015 · x - 0.00000 · x 2 + 0.000000 · x3 - 0.00000 · x4 + 0.000000 · x5 0.05 0.99 0.98
  Women 18-80 years y = - 3.37 + 0.0022 · x - 0.00000 · x 2 + 0.000000 · x3 - 0.00000 · x4 + 0.000000 · x5 0.12 0.98 0.97
Sex difference 5-92 years y = - 183.23 + 0.12 · x - 0.000032 · x 2 + 0.000000 · x3 - 0.00000 · x4 + 0.000000 · x5 - 0.00000 · x6 + 0.000000 · x7 14.73 0.93 0.87
  18-80 years y = 73.52 - 0.015 · x + 0.000002 · x 2 - 0.000000 · x3 + 0.00000 · x4 6.45 0.94 0.89