Any idea why my Xbox home screen is frozen?

What do you mean it opens at your home screen and then nothing? Are you stuck on the dashboard or is it a black or green screen?

If you are stuck on a black or green screen you can try the offline diagnostic tool that has helped people get passed the blank screen before:

support.xbox.com/.../system-updates-solution

Hard resets are pretty much the only advice people here know. Try another one?

You can try a hard reset by holding down the power button on the console for 10 seconds. If the problem persists, come back and let us know.

Not sure it will work but it is worth a try. Perform a hard reset EXACTLY like this. Hold the power button on the console for 10 seconds or until the power shuts down completely. Unplug the power cord from the back of the console for 5 minutes. Plug
the power cord back in and restart the console. Once it is back up and operational test the results. Let us know. Good Luck!!

found out what the problem was (would have posted it up sooner only i forgot i posted here at all)

i have a 2tb external hard drive for extra space and it turns out this hard drive caused the trouble (the hard drive has since been sent away for repairs)

how i discovered it was by plugging the hard drive into my brothers xbox and it started having the same trouble as mine, my own xbox has been working perfectly since i kept the hard drive disconnected,

thought id post this here incase others end up having the issue, just disconnect any external hard drives and see how the xbox responds (turn xbox off when disconnecting the drives)

and if anyone is interested it was a seagate hard drive that failed (the hard drive was only ever used for the xbox and was just over a year old)