Here we go with the Caliber problems

Let me be the first to report on my Caliber problems. After I drive for a while the car starts to make this sneezing noise from the bottom and it continues after the car is turned off. If I drive over 65 it starts to rattle from the passenger side, I took it to the dealership to check it out, they claim it needs a new Exhaust Resonator, I hope their right because I know nothing about an exhaust resonator. They never even road with me to confirm what I was hearing. I would hate to have to keep going up there, because they want to get me in and out. Can anyone confirm what a Exhaust Resonator does or problems they may cause?

The exhaust resonator is like a muffler but has a "straight thru" design. The pipe that goes thru it has holes in it to allow exhaust gasses to expand into the shell of the resonator (it looks just like a muffler from the outside). The size and location of the holes and the size of the shell itself is designed to nullify certain sound frequencies.
There is not much that can go wrong with a resonator, it has no moving parts , they are either lying about the resonator or the res has a design flaw that they know about and have to replace.
The RES is used to tune the sound of the exhaust without adding back pressure to the exhaust gasses. The resonator is what gives the exhaust a nice mellow tune as opposed to the raspy, buzzy, crackely sound most 4cyl and some v6's make. I changed out the baffle type high backpressure design muffler on my Dodge minivan and put in a "Glass Pack" but kept the factory resonator. A "Glass Pack" by itself sounds terrible on a V6 but having a resonator gives it a nice deep rumble and filters out all of the unwanted sounds most V6's make. If you are wondering what a glass pack is, it is constructed similar to a resonator but it has fiber glass packing in the open areas of the shell. Typically they are annoyingly loud, but with a resonator they can be pleasant.

I believe there is a TSB out on the Dodge Caliber that is to replace the Resonator due to the pipe connection being too tight and causing a noise while driving and after you shut off the engine. With the heat and expansion on the connection, it is making the noise.

Call your service writer at the dealership, and they can look up the TSB's on your car and see

"Customer complains of severe pop, click or ping noise from exhaust during cooldown. Noise is above normal cooldown ticking noises heard on other exhaust systems. Source of the noise is the slip joint at the resonator outlet. The cause is the joint building too tight at the supplier and not allowing the internal resonator tube to slide within the joint. A design change was made to relieve this tight fit. This will reduce the cooldown ticking noise from the exhaust to a normal level.
The muffler/resonator assembly should be replaced if a customer complains of this condition. "

yep kool is right. It has nothing to do with reliability or performance but just a noise issue. It's an easy fix.