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May 20th, 2007, 05:43 PM   #1
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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 TI-83 but no luck.

Quote:
 Originally Posted by X 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100
Quote:
 Originally Posted by Y 0 83 174 276 388 512 650 801 969 1154 1358 1584 1833 2107 2411 2746 3115 3523 3973 4470 5018 5624 6291 7028 7842 8740 9730 10824 12031 13363 14834 16456 18247 20224 22406 24815 27473 30408 33648 37224 41171 45529 50339 55649 61512 67983 75127 83014 91721 101333 111945 123660 136594 150872 166636 184040 203254 224466 247886 273742 302288 333804 368599 407015 449428 496254 547953 605032 668051 737627 814445 899257 992895 1096278 1210421 1336443 1475581 1629200 1798808 1986068 2192818 2421087 2673114 2951373 3258594 3597792 3972294 4385776 4842295 5346332 5901831 6517253 7195629 7944614 8771558 9684577 10692629 11805606 13034431 14391160

 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 non-linear?
May 21st, 2007, 12:06 AM   #3
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Quote:
 Originally Posted by Infinity 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 non-linear?
Ah sorry that what i meant. Non linear.

 May 21st, 2007, 07:29 AM #4 Global Moderator   Joined: Dec 2006 Posts: 20,469 Thanks: 2038 What is the origin of the Y-numbers? 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 ever-increasing 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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