## curve fitting tool box

### ahmed (view profile)

on 31 Jul 2013

Hi all,

there is something i don't understand in the curve fitting tool box, i have :

x= [1 2 3 4];

y= [1 2 3 4];

after using the curve fitting tool box this is the results comes out:

Linear model Poly1:

`     f(x) = p1*x + p2`
```       where x is normalized by mean 3.5 and std 1.871
Coefficients (with 95% confidence bounds):
p1 =       1.871  (1.871, 1.871)
p2 =         3.5  (3.5, 3.5)```

Goodness of fit:

```SSE: 2.81e-30
```
```R-square: 1
```
```Adjusted R-square: 1
RMSE: 8.382e-16
```

the plotted graph on the right is correct but the resulted equation is not correct !!!!! ??

Thanks.

Tom Lane

### Tom Lane (view profile)

on 1 Aug 2013

What do you do with the Curve Fitting Toolbox? If I type

```fit(x',y','poly1')
```

I get a slope of 1 and an intercept that is zero (tiny number).

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on 2 Aug 2013
Edited by dpb

### dpb (view profile)

on 2 Aug 2013

Of course the equation is right--as the message says p1 and p2 are coefficients for the normalized x. Substitute in z=(x-3.5)/1.871 and solve for m and b in terms of z and you'll find that

``` m=p1/1.871 --> 1
b=p2+3.5   --> 0```

In the tool it's the "Center and Scale" checkbox that controls it; at the command line the fit option 'Normalize', 'on|off'

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