Extrapolation Algorithm in PHP

Freelancer is expected to write very well commented PHP for educational purposes. Non linear Extrapolation Algorithms in PHP. Code will be tested on a data set containing 60 samples and must produce at least 6 to 10 nest (extrapolated) values. I will pay $50 for each method used. You can start with this pseudocode [login to view URL] for example. Just do not use linear or exponential methods. Read carefully will report all spammers.