1) If you are having any disturbances along with the dial tone, then you will have to "check your lines for faults". Just complain in your local telephone exchange about the problem, and they will check to see if there is any faults with any of the lines, and will replace them if necessary.
2) All other devices like fax machine or other telephone sets must be connected after th splitter.
How to connect parallels after the splitter:
3) Disconnect all other devices that are connected to your phone line so that your modem is the only device connected to the phone line (via an ADSL splitter). Reboot and retry connecting.
4) If nothing solves your problem, connect the modem directly to the phone rosette (refer to the above picture if you are unaware what it is), to test if the splitter is having any problem.