Table 1. Athletic events, type of mathematical function, equations and R values.
Event Regression Type Equation ** R2*
Men’s 100m Inverse Y = b0 + (b1/t) .659
Women’s 100m Cubic Y = b0 + b3t3 .902
Men’s 400m S Y = e(bo + b1/t) .907
Women’s 400m S Y = e(bo + b1/t) .843
Men’s Long Jump Cubic Y = b0 + b3t3 .777
Women’s Long Jump Inverse Y = b0 + (b1/t) .894
Men’s High Jump Compound
Logistic
Exponential
Growth
Y = b0(b1)t

Y = b0eb1t
Y = ebob1t
.944
.944
.944
.944
Women’s High Jump Compound
Logistic
Exponential
Growth
Y = b0(b1)t

Y = b0eb1t
Y = ebob1t
.947
.947
.947
.947
** Where b = a constant; b, b = regression coefficients; t = year, y = mean result for each event* All R values in significant at p<0.05.