home network speeds mean nothing to your internet speeds unless you manage to get some insane internet connection (my PC connects to the router at 1gigabit, does that affect my internet? no because my internet is only 80megabit)
if you only have a 3megabit line you will never get more than that and there is a good chance you will get less as it will be a DSL line, but even then a 3meg line would only downlaod around 300 kilobytes a second (or roughly 1 megabyte every 4 seconds)
if you want an accurate reading on your line speed go to [url]http://www.speedtest.net/[/url] they are the most acurate test around and they will actually test your internet connection and not your homenetwork.
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