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 |