Coltzan's Shrine
To raise speed it's every five minutes after an hour but remember you can only use the shrine once a day! To get up ten you must click exactly on the fifth second, none above or below, cause if it is one above or one below you'll only get stat raised by 1.
That goes with the following times
Speed: Every fifth second of the hour
Defense: Every tenth second of the hour
Strength: Every thirty minutes of the hour
Endurance: Every hour of the day
Level: Every two hours of the day!
Burnt Food: 11:00 - 12:00 NST
Dubloons: 55 seconds past the minute