If the line's staying in sync
....but that's a big 'if'.
I assume "Mean Time Between Retrains" refers to the ADSL re-syncing, which suggests it's doing it on average once a day (and you're just not watching the blinkenlights intently enough at 3am). That's an issue between your modem and the DSLAM in the exchange, and generally pertains to some physical issue with the line.
Either it's flapping about trying to settle on a stable rate, or something's causing it to stop working at 3am every night - a burst of interference from....I don't know?
You don't have the data here to discriminate loss of PPP due to loss of sync from loss of PPP for some other reason, so not all those events may be due to the same cause.