Table 1.  Parameter values for selected curves of best fit to the athletes performance variables, kinematic variables, energy variables, and pole variables.  Data are fitted parameter value (± standard error).
 Variable Equation Fit parameter Value symbol units Run-up velocity y = a Exp[b Exp(cx)] a m/s 8.55 (.09) b  1.14 (.06) c 1/step .32 (.02) RMSD m/s .14 Peak height y = mx + c m s .540 (.017) c m .21 (.12) RMSD m .086 Grip height y = ax2 + bx + c a s2/m .052 (.010) b s 1.04 (.13) c m .69 (.42) RMSD m .053 Push height y = ax2 + bx + c a s2/m .045 (.011) b s .40 (.15) c m .81 (.47) RMSD m .058 Take-off velocity y = ax2 + bx + c a s/m .070 (.035) b  1.57 (.46) c m/s 1.2 (1.5) RMSD m/s .19 Take-off angle y = mx + c m deg·s/m 3.51 (.51) c deg 48.8 (3.6) RMSD deg 2.6 Energy at touchdown y = x2/(2g) + htd g m/s2 9.674 (.057) htd m 1.011 (.016) RMSD m .02 Energy at take-off y = mx + c m s .379 (.021) c m .59 (.15) RMSD m .11 Energy at max pole bend y = a + Exp[1 + b(x  c)] a m 2.570 (.032) b s/m 1.80 (.53) c m/s 9.47 (.29) RMSD m .07 Energy at peak of vault y = mx + c m s .579 (.029) c m .32 (.21) RMSD m .15 Energy lost in take-off y = ax2 + bx + c a s2/m .054 (.022) b s .41 (.29) c m .53 (.94) RMSD m .12 Energy gain in pole support y = mx + c m s .200 (.024) c m .28 (.17) RMSD m .12 Energy gain in vault y = ax2 + bx + c a s2/m .031 (.029) b s .30 (.99) c m .17 (1.24) RMSD m .15
Run-up velocity was plotted against run-up length (steps), all other variables were plotted against run-up velocity (m/s).
RMSD = root-mean-square deviation for the regression curve.