Table 3. Men's and women's freestyle swimming events, type of mathematical function and predictive equations.

Gender

Event

Type

Equation

R2 value

Men

50m

Inverse

y = -44.77 + 134064.199 / year

.543 ns

 

100m

Compound

y = 42747.22 x .99year

.972 *

 

200m

Sigmoidal

y = e- 1.33 + 11971.98 / year

.862 *

 

400m

Cubic

y = 12572.6 - 8.79 x year +6.53 x 10-7 x year3

.977 *

 

1500m

Cubic

y = 4045.71 - 27.31 x year + 1.88 x 10-6 x year3

.963 *

Women

50m

Inverse

y = 71.68 + 193578 / year

.732 ns

 

100m

Cubic

y = 7417.11 - 5.48 x year + 4.5 x 10-7 x year3

.959 *

 

200m

Sigmoidal

y = e-0.54 + 8451.02 / year

.812 *

 

400m

Cubic

y = 1565 - 1.68 x 10-7 x year3

.976 *

 

800m

Sigmoidal

y = e-1.26 + 14938.8 / year

.692 *

ns: due to the small degrees of freedom; * p < 0.05