You may draw the conclusion from the chart that income prevents the poorest from attending university because they can't afford the fees. This is highly misleading. There's substantial evidence [at least in rich countries, see US example below] that when you control for educational achievement (i.e. how well students achieve in pre-uni schooling), income level is a much weaker predictor of whether someone attends university. The primary driver of low university enrolment is educational achievement. i.e. the main chain of causation is this: low income -> low education achievement -> low college attendance. The key to raising university enrolment among poor students is to provide better education/development opportunities and aspiration.
This is important because the policy implications are vastly different according to how well you understand the data. The UK is an interesting case in point where tuition fees (£9k per year) have been levied in England for almost a decade; whereas this has been abolished in Scotland. Despite this, Scotland has the worst university enrolment among its poorer students within the union. [1]
Edit: Ok I found the paper with US data [2]. The Evidence on Credit Constraints in Post Secondary Education by Pedro Carneiro and James Heckman (FYI, a nobel laureate).
Note the graphs on pages 17 and 20 which illustrate the point most clearly. When you compare them, you can see that once you control for a range of important variables - peers within the same AFQT test scores have very similar enrolment rates across all income quartiles.
[1] http://www.telegraph.co.uk/news/uknews/scotland/10354393/Fre...