Pronouncing German

Hi, I don't have any native speakers of German in my area. Please watch this short video and let me know if I have finally conquered the German R.

http://www.youtube.com/watch?v=3vY3BQ1HMpg

That's perfect.
I'm German and my R rather sounds like [χ], but that's a regional phenomenon, I guess.

It's not supposed to be a trill. Trills are usually only used if you want to put a very strong emphasis on the fact it's an R:
„Ich habe mir gestern eine Ratte gekauft.“
„Eine Matte?“
„Nein, eine Rrrrratte.“

Compare these two:

Trill (the one you used):
http://upload.wikimedia.org/wikipedia/commons/c/cb/Uvular_trill.ogg

Fricative (the one you should use):
http://upload.wikimedia.org/wikipedia/commons/a/af/Voiced_uvular_fricative.ogg

Actually, using an approximant, which has less friction than a fricative, is probably better (i.e. more common among native speakers).
The fricative should be fine, though.

Thanks losti and feati. You guys have so many Rs! uvular fricative, uvular approximant, alveolar trill, uvular trill. I will practice the fricative and the approximant more.

I was imitating the R that "Halmafelix" uses on dict.cc:

http://www.dict.cc/?s=frau

Click the speaker icon by the word "frau" and then click on "Halmafelix"

He uses a uvular trill, no? Is this a regional thing?

neue video:

http://www.youtube.com/watch?v=ZRZ_acsyYKQ

ueber mein akzent sag mir

meine**

neu**

i'm tired, ok/?

People in Germany often comment on my Scots rrrrolled 'r' when speaking German. But I don't intend on changing it, I think it's a totally false situation to try and mimic a foreign accent, it's better to use your own.

Besides I think some dialects of German do roll the letter 'r'

Yeah, they roll their r's in Austria. But in standard German r is always guttural.