What connection does can be seen between the ways Holden wears his hunting hat and shifting attitude?

Wears hat to the Back: He does this after his meeting with Mr. Spencer. He thinks it looks corny but non-conforming, exactly the opposite of how Spencer told him to act.

Turns hat to the Front: Holden is trying to tune Ackley out. He hates listening to Ackley.

Turns hat to the Back: Holden decides to go to New York. He has a little purpose now, even determination.