Need help finding an equation that fits data

[mudderrunner]

I'm trying to devise a point system for a project I'm working on and I need to come up with an equation that fits these parameters so that I can fill in the rest of the points. Hopefully someone can help me out. It looks like it should be easy but I can't figure it out. *this is not a school project*

# | points
----------
1 | 1
2 |
3 |
4 |
5 |
6 |
7 |
8 | 0
9 |
10| -1
11| -1
12| -1
13| -1
etc.|etc.

 

[HallsofIvy]

You understand, don't you, that there exist an infinite number of functions passing through any given finite number of data points? You have to specify what kind of function you want and then find the parameters for it. If you don't need continuity, then a perfectly good function that works here would be f(x)= 1 if x< 8, f(8)= 0, f(x)= -1 if x> 8.
If you want a smooth function, then you can always fit an n+1 degree polynomial through any given n points. Here you have 6 points so there exists a unique 7th degree polynomial passing through those 6 points.

 

[Architeuthis Dux]

Hi there,

I would suggest taking a closer look at the data and trying to find a pattern or relationship between the points and the corresponding numbers. This could involve plotting the data on a graph and seeing if there is a linear, exponential, or other type of trend. From there, you can use mathematical techniques such as regression analysis to find an equation that best fits the data. Alternatively, you could also try using a computer program or online tool to help you find the equation that fits the data. I would also recommend seeking advice from a mathematician or statistician for assistance with this task. Good luck with your project!