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February 23rd, 2013, 03:05 PM  #1 
Member Joined: Nov 2009 Posts: 37 Thanks: 0  Modelling real life data http://www.livoniapublicschools.org/web ... 22013.pdf (please scroll down to page 7, for the problem "GOLD MEDAL HEIGHTS") In brief, I am asked to find a model function for the real life data. I am currently experimenting with quintic functions (degree 5) as there are 4 local max/mins, but there's an obvious limitation as the y values reaches positive and negative infinity as x > +infinity and x > infinity. This is impossible in real life as human jump heights will reach a biological maximum limit (and impossible to jump a negative height). I was also thinking of a step wise function, where after a quintic function, I add onto a logarithm function as to introduce a horizontal asymptote. As well, I was thinking of a sigmoid function, as this is a biological data. Maybe even arc tan function... (but I have no idea what that is) My teacher has been absent for the last couple of weeks due to health issues, and the substitute doesn't know any math. As such, I have been working on this by myself for a week now, and I am stuck. Any help will be appreciated 
February 25th, 2013, 10:56 AM  #2 
Global Moderator Joined: Dec 2006 Posts: 18,691 Thanks: 1523 
For 1952 onwards, and just for fun, height = 250  928/(year  1932).


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data, life, modelling, real 
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