My statistic analysis using Stata generates following results:
1) Before level 53, there is a near-perfect log-linear relationship between the points needed to cross each level and the level number. The formula is:
ln(exp)=8.751503 + 0.0511403*levelThe standard error for the slope coefficient is only 0.0000229.
2) At level 53, there is a remarkable breaking in trend.
Edited 10/22/2015 09:25:24