I need to fit data to a line. This data also includes tolerances.

Now, I was wondering, if there exists a method, to account for those tolerances?

For instance, a data point with a lot of tolerances should not be given the same weight as a data point with small tolerances.

Here is a sample of my data:

x| Data-point (y) | +/- tolerance

1| 120.984 | 0.426248

2| 132.194 | 0.418291

3| 130.413 | 1.260100

4| 127.687 | 0.414457

5| 125.710 | 0.410716

6| 128.188 | 1.431200

data = {{1,120.984},{2,132.194},{3,130.413},{4,127.687},{5,125.710},{6,128.188}};
tol = {{0.426248},{0.418291},{1.260100},{0.414457},{0.410716},{1.431200}};

I was thinking of applying weighted least squares, but I don't know how to implement it.