It would be like asking "how is car size related to horsepower". It depends.
Yes, a larger speaker should be able to put out more sound but that's simply because it can move more air. With speakers though you (hopefully) care more about the noise it puts out rather than how loud that noise is.
Sensitivity, frequency response, size, materials used, number of drivers, types of drivers, bracing in the enclosure, and a hell of a lot more attribute to how a speaker sounds. Also, your own personal preference comes into play.
No. They were called "Jazz", by a company called MasterSource. I briefly considered trying a pair, but I don't believe that their claim is possible (a quick calculation shows that they have less than half the cabinet volume and less than a third of the driver area of my tiny Mirage Omni 150s!)
This thread shouldn't be titled "How is speaker size related to frequency response," but, rather "How is speaker *size* related to bass extension?" A 1" dome tweeter may play 8 kHz louder than a 1.5" dome tweeter. A 2-way speaker may play louder than a 4-way with a 15" woofer. It probably won't have as much bass extension, though.
Also, bass is about moving air, and cone diameter alone isn't the whole story. There is also power handling, excursion, and the most important variable of all...marketing.
aka TRIAD DUDE
I can tell people who are judgmental just by looking at them...