 |
|
|
|
|
|
|
|
|
|
|
|
|
|
Suppose we have data (xi, yi,si) and we want to fit the data to a
|
line: y = A + Bx. First we calculate c2:
|
|
|
|
|
|
|
|
|
|
Then we minimize it with respect to the parameters of the theory,
|
A and B. To find the best values of both A and B, we need to carry
|
|
out this minimization simultaneously. So we take the partial
|
|
derivative of c2 w.r.t. A and B, and set them both to 0
|
|
simultaneously.
|
|
|
|
|
|
|
|
We can rearrange these two equations a bit and see that there
|
are only 2 unknowns, A and B. All other information can be
|
|
determined
directly from our data (xi, yi,si).
|
|
|
|
|