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    $\begingroup$ The experts at NIST are worth knowing about: nvlpubs.nist.gov/nistpubs/jres/113/1/v113.n01.a03.pdf. $\endgroup$
    – Ed V
    Commented Jul 8, 2023 at 1:48
  • $\begingroup$ Even better would calculation of SD estimation of the slope and intercept and the confidence band of the linear regression. It then leads to ability to determine the y confidence interval from the given x value and vice versa. $\endgroup$
    – Poutnik
    Commented Jul 20, 2023 at 10:47