Uncertainties in linear regression coefficients in Python

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How to find uncertainties in the coefficients of a linear regression using the function polyfit() of Numpy or the function curve_fit() of Scipy? I know how to find the coefficients, but I would like to know if it is also possible to obtain the uncertainties related to them. Has something to do with the covariance Matrix that these functions return?

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    Please edit the question to limit it to a specific problem with sufficient detail to identify an appropriate answer.

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