I am currently interested in learning more on error propagation. At the moment I am trying to find out how to calculate the uncertainty of a value that is obtained from a linear model. For the linear model, the uncertainty of the slope and of the intercept with the x-axis are given. I have not found any useful explanation or I did not recognize one, because they were too complex for me. The Model would be:
y = s * (x-X0)
s=slope (=0.9) x=value on the x-axis (=25) X0=intercept with the x-axis (= 5)
I want to know dy, the uncertainty of y. I know that:
ds = uncertainty of s (= 0.01) dx = uncertainty of the actual x-value (= 2) dX0 = uncertainty of the intercept with the x-axis (= 1.5)
This appears to me as a simple problem, so it should not necessary to solve the model with all possible values s, x and X0 could have. Or am I wrong here? I also appreciate recommendations on text-books, if you have any. Kind regards, S.