Pregnancy test after miscarriage

Tara

I have a question and I hope I can ask it in a way that makes sense.

So I still have some hcg in my system from my miscarriage although the amount is about 3 according to my last blood test. With that amount I still get a faint line on certain tests that are very sensitive like first response.

But if I am pregnant this cycle would having that residual hcg make my tests show positive sooner than would normally if it was starting at zero?