(1/0.75)^2 = a factor of 1.8 larger in pipe capacity.
Try these guys for some numbers
http://www.engineeringtoolbox.com/eq...hod-d_804.html
The friction loss depends on the water velocity squared, and velocity depends on GPM and pipe size.
IMO the public water supply acts more like a 'pressure source' [constant pressure regardless of flow rate over a zero to 13 GPM range]
rather than acting like a 'flow source' [pressure adjusts to provide a constant flow].
Like Mr. 1971 said, what is your shower GPM, with and without other fixtures running? All you need to check this is a known capacity container and a watch. I'm sure it's less than 6 GPM in any case.