Is there a religious basis for science?

Yes, for example...

Gregor Mendel, the 'father' of modern genetics. He figured out how dominant and submissive traits were passed on through selective breeding. Never figured out how to lose his virginity though.

Is there a scientific basis for religion?

Yes! I can prove that religion definitely exists.

See? Found one!

https://en.m.wikipedia.org/wiki/Buddhism

And another!

https://en.m.wikipedia.org/wiki/Christianity

Let's see if it's repeatable...

https://en.m.wikipedia.org/wiki/Christianity

Yup, still there.

There you have it folks, a scientific proof for religion.

Could use more data, and a null hypothesis, but I'm fairly confident these religions will continue to exist for further observation.

https://en.m.wikipedia.org/wiki/Christianity

Still there!