Well, if your looking for the best way to apologize, then here are a few tips I've learned and common sense:

• People hate it when you direct an apology in a way that tells them that they're still in the wrong, like adding 'but' in the apology - 'I'm sorry, but you deserved it.'
• When you want an apology, you prefer it to be sincere, and not filled with attitide, like 'Well, SAR-REE!!'
• Apologies made on the internet or in a letter are'nt as good compared to a face-to-face one
• 'I was just joking' Is'nt REALLY an apology