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hoping this is not straight a duplicated from another post, I'm writing you because I have a big confusion about propagation of errors and the best way to calculate it in Mathematica.

First of all, lets assume I have a set of data:

x={1,2,3}, y={3,4,6}.

If I want to compute the error in y(x) = m*x+a, say da, dm, how should I proceed?

enter image description here

Is this correct?, and if so, where did it come from? Is there any way to calculate these errors directly in Mathematica?

Also, if my values of x and y have uncertainty values assosiacted, like:

data={{x,y,errx,erry},{1,3,0.1,0.3},{2,4,0.1,0.25},{3,6,0.15,0.2}}

How should I do it?

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    $\begingroup$ Have a look at Around and friends. $\endgroup$ – b.gates.you.know.what Sep 30 at 7:33

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