Hi Chris,
Do you have any stat output from your router at all? Attainable/Sync/Attenuation/SNRM etc. Could you also post your results from the DSL Checker, just so we can see what your clean and impacted ranges are and what (if any) handback threshold is set on your line.
There could be a million and one things causing it - if we start right back at the beginning, have you plugged your router/modem directly into the test socket, thus avoiding any extensions in your home? Do you have a new NTE5c and a SSFP, or old-style DSL filters? If all of that is ok and you've tried that, do you have any noise on the phone line if you plug in a corded phone and dial 17070? (opt. 2). Use the test socket behind the master socket.
The line should be absolutely silent, any crackle, pop, hissing should be noted and reported to your landline provider as a 'voice service' fault, rather than a broadband fault. The resolution of any noise on the copper pair should also improve the broadband service.