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. |
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