Here is what the UTC-UT1 offset would have been if we'd stopped leapseconds back in 2000: https://nt4tn.net/random/UT1UTC2000.png https://nt4tn.net/random/UT1UT

Here is what the UTC-UT1 offset would have been if we'd stopped leapseconds back in 2000: https://nt4tn.net/random/UT1UTC2000.png https://nt4tn.net/random/UT1UTC2000.png and here is the above with the sloped removed, e.g. if the second had been defined to match the mean solar day in those 22 years: https://nt4tn.net/random/UT1UTC2000secondfixed.png https://nt4tn.net/random/UT1UTC2000secondfixed.png -- this cheating a bit since obviously using the slope generated from the same data is going to fit pretty well.