Uncertanty in a non-linear regression with least squares method

1. The problem statement, all variables and given/known data

Ok, so i’m trying to fit a set of data (21000 points to be exact) to a sine function.

2. Relevant equations

Y = A*sin(ωt)

3. The attempt at a solution

I used NumPy to get the parameters A and ω with the least squares method. So far, so good. However, i appear to have reached an impass, this values don’t have an uncertanty that accompanies them.

My question is: how do i propagate the error in the amplitude and the frecuency? In a quick web search I have not found any helpful inside in anything different of uncertanty of slopes in linear regressions. Can you recommend literature or websites that cover this topic? Bear in mind a freshman undergrad level of computer expertise and experimentation skill.

Thanks in advance


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