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# error message using polyfit (nonlinear regression)

Asked by Locks on 20 Apr 2013

hi,

I get the following error meesage:

```    Warning: Polynomial is not unique; degree >= number of data points.
> In polyfit at 71
In run at 74 ```

The code I am using is the following:

```for putCall =1:2
dataPutCall = data16(data16(:,3)==putCall,:);
dates=unique(dataPutCall(:,6));
for i=1:length(dates)
date=dates(i);
for indexT = 1:length(Ts)
T = Ts(indexT);
```
`                number=dataT(:,13);  `
```                x= dataT(:,2);
y=dataT(:,10);
p = polyfit(x,y,2);
f = polyval(p,x);```
```                a=p(3);
b=p(2);
c=p(1);```
```                SlopeSkew(number)=b+2*c.*x;
Slope=SlopeSkew';```
```            end
end
end```

I have used this code for a smaller matrix and there is was worked perfectly but not it seems as something is not working correctly and I am unsure what excatly it is

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Answer by proecsm on 20 Apr 2013

I think it is obvious from the message; you don't have a enough data points to fit the polynomial uniquely. Like fitting a line through just one point, there are many solutions

```x=[1,2];
y = [2,8];
polyfit(x,y,2)
Warning: Polynomial is not unique; degree >= number of data points.
> In polyfit at 72
```

Locks on 21 Apr 2013

You're right, I didn't get it at first because it's working for a smaller dataset. I assume when using polyfit(x,y,2), there are at least three inputs needed to compute the curve up to power of 2, is that correct?

Walter Roberson on 21 Apr 2013

Yes, at least n+1 points for degree n.

Locks on 21 Apr 2013

perfect, thanks