Yes, UGAZ & DGAZ are correlating opposites of each other, which is how I like to simply phrase it.
Merry Christmas
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FYI,
Anyone new venturing into ETFs & ETNs, would be wise to start out with 1x funds or less volatile funds (such as UNG/GAZ) until one learns with more experience. Additionally, practicing with 'Paper imaginary Money' also helpful, and then gradually move into actual money. Once you start using real money, start out with small amount of $$$ risk as you test the waters for a good period of time, along with practicing on slower moving funds 1x-2x before you dare start trading 3x (UGAZ/DGAZ).