I am looking for methods to calculate the error in a slope.
the caveat is that my values themselves are averages with a STDEV.
E.g.
x
1+-1%
2+-1%
3+-1%
y
0.14+-0.01
0.27+-0.02
0.42+-0.02
(using http://www.cartage.org.lb/en/themes/...onDivision.htm as the
calculation method for these errors)

This could be simplified by assuming the x-values have no deviation.

Now I can just plot the average slope of those three values, I can make a
simple linear regression analysis, obtain the least square values as shown
here
http://www.physicsforums.com/showthread.php?t=194616 and somewhat related here
http://www.physicsforums.com/showthread.php?t=173827

or use the Excel Linestatistics
(http://www.trentu.ca/academic/physics/linestdemo.html)
I obtain a value for the slope of my averaged slope, and a STDEV, based on
the Least Square algorithm. But this does not take into account at all my
initial STDEV, only the deviation of my data from the mean.
Is there a more general algorithm that can take STDEVs in the initial (at
least) y values, or both x and y values, and how would I calculate that?

Thank you.