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May 20th, 2007, 05:43 PM  #1  
Newbie Joined: May 2007 Posts: 3 Thanks: 0  Finding the formula for the following set of values.
Hello, i have tried finding the formula for the following set of values using Excel and my TI83 but no luck. Quote:
Quote:
 
May 20th, 2007, 08:28 PM  #2 
Senior Member Joined: Dec 2006 Posts: 1,111 Thanks: 0 
You mean you're trying to find a function such that dumping x into the function yields y? If so, will the result be linear or nonlinear?

May 21st, 2007, 12:06 AM  #3  
Newbie Joined: May 2007 Posts: 3 Thanks: 0  Quote:
 
May 21st, 2007, 07:29 AM  #4 
Global Moderator Joined: Dec 2006 Posts: 20,942 Thanks: 2210 
What is the origin of the Ynumbers? Could you substitute their logarithms, since they seem to be increasing roughly exponentially?

May 21st, 2007, 05:25 PM  #5 
Senior Member Joined: Dec 2006 Posts: 1,111 Thanks: 0 
It might help if we knew where you got the y values. How did you generate those values, and why?

May 21st, 2007, 05:34 PM  #6 
Senior Member Joined: Dec 2006 Posts: 1,111 Thanks: 0 
It's clear from the differences between each term in the sequence that the derivative of this function is always positive, but from the differences between the differences between the terms of this sequence, it's equally clear that the second derivative is not always positive. This means that the function does not always increase at an everincreasing rate.

May 21st, 2007, 09:54 PM  #7 
Newbie Joined: May 2007 Posts: 3 Thanks: 0 
I did not generate the numbers, they are numbers from a game and i would like to know if there is a function that will find out the value if i plug in x. If its too much trouble then dont worry about it, i just thought there would be a program that would calculate it. 
May 22nd, 2007, 06:56 AM  #8 
Senior Member Joined: Dec 2006 Posts: 1,111 Thanks: 0 
One way to get a function that would pretty closely approximate your function would be to do a regression analysis on the points. Most calculators that I know of will only do linear regression, but there are many other programs out there that will do other types of regression.


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