When will someone break (have the ability to break) two hours? Well I'd say after doing some simple math it will happen between 6/25/2028 and 10/6/2051. Anyone else come up with something similar?
I just took all the data points from the world record in 7/24/1908 (2:55:18) up until Makau's 2:03:38 and did a simple regression and a power relationship is best fit. Bearing in mind that now more people are stepping up to the marathon, I took only the last 10 years worth of times and did the same thing. This is where the two dates came from. Obviously the 6/25/2028 date comes from the relationship based on the last 10 years.
The equations are:
1908 thru now: y=0.357x^-0.119 (R^2=.9696)
Last 10 years: y=0.53x^-0.172 (R^2=.9498)
where y = marathon time and x = date
I did this about a year ago and figured I'd post it since the talk has been on the forefront again recently. What do you think?