Shevuot 8: Atoning for Which Sins, Inner and Outer Goat

The rabbis discuss a number of issues regarding the yearly offering in the Temple.  What sins are atoned for by that sacrifice?  The consider:

• idolatry
• forbidden sexual relationships
• murder
• other sins punishable by goat or other offerings

Further on, the rabbis consider the offering of the inner goat and the outer goat.  The inner goat is the very special offering on Yom Kippur.  However, the rabbis believe that it does not account for all sins.  Only partial forgiveness is achieved at that point.  The outer goat, the azazel, was to be thrown off of a cliff carrying with it the remaining sins of the Jewish people.  

What do these rites represent?  Our inner, private sins and our sins done publicly, or as a community, or without remorse?  The rabbis discuss these ideas as well.