I once asked a doctor how long a relative might have to stay in intensive care:
A: Oh, I couldn't possibly say.
Q: Do you think he might be home in 3 or 4 days?
A: Oh, no, not that soon.
Q: So it might even be as long at 3 weeks?
A: I highly doubt it would be that long.
Q: So a reasonable estimate might be 1-2 weeks?
A: Oh, I couldn't possibly say.
I started the conversation having no idea whatsoever how long it would be, but I ended up with a good feel for a time estimate along with error bars.