No, the percentage of students receiving aid does not affect graduation rate. I chose 4 year graduation rate since it was a perfect fit and for financial aid I chose the one that shows financial aid from any source to capture all financial aid.
This one was odd because of the question, while I believe that the % of undergraduate students may relate better, it asks for the number. That is why I decided to use the number of full time undergraduates and relate it to 4 year graduation rate.
From the data provided in the CDS it appears those Universities that are open to sharing their URL have a higher 4 year graduation rate on average than those who choose not to. This shows that those who don't publicly release their URL may do so to prevent their institution from looking bad.