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I appreciate that this can vary enormously, so I'm talking averages. For example what would be considered a good result or a mediocre result for a site taking into account the type of site, PR, and page count, etc.
I've searched the forums, but haven't come up with anything.
PR and pages viewed are not related in any substantial manner at all. The problem isn't so much that you're trying to collect data on the relationship between variables that vary greatly, but the fact that this question tries to collect data on variable that are completely unrelated. That's probably why you weren't able to find anything in the forums about this.
I'm guessing you're probably looking to find out if, and by how much, your traffic will increase if you increase your PR. There's really no good answer to that question. Increasing your PR can help increase your traffic, but there's no set formula and there are hundreds if not thousands of other ways to increase your traffic. PR isn't a silver bullet, but it can be good building block.
Hope this helps a little and if not, feel free to ask more :)
Has any research been done, or rules of thumb proposed, that gives the likely traffic for a given site, where the site is defined by the number of pages and the type of site, i.e., commercial or non-commercial, and the target users. I probably shouldn't have included PR as it's Google specific.
The information is out there but possibly unpublished. For example hosting companies must have a pretty good idea of what is running on their servers and the amount of traffic generated.