For this particular topic, video is much better as the process is multiple steps. Therefore, only the captioned video is included.
- Scale both the x and the y data by the uncertainty in y .
- Fit the scaled data using the least-squares method. The resulting slope will include the information about the uncertainty in y.
- Calculate the intercept using the average point .
Note: this only incorporates the uncertainty in y. The uncertainty in x could be handled by inverting the data, following the above process, and then inverting, back. However, this method CANNOT handle uncertainties in both directions at the same time!