I think that the tube connecting the stock airbox to the exhaust manifold is just to help your car warm up on cold days once it has been started. Instead of just taking in the cold air from outside and burning it on cold mornings, it takes a little bit of warm air from the exhaust and it supposed to help it to warm up. However, I dont really think it'll make that much of a difference. Just ditch it. I dont have mine on anymore because the hose ripped, and mine seems to work just fine.