From Fafsa.gov:
What are the advantages to me of being FAFSA independent?
The FAFSA form basically allows you to apply for financial aid at different universities or colleges. When you are FAFSA dependent, your family earnings and property are factored into your financial aid award. This means that your parents may end up devoting a significant portion of their salary towards covering your dues.
Alternatively, FAFSA independent status means your family assets are not factored into the award of financial aid. Representing a smaller total amount of assets simply means that you may eligible for additional financial aid. This reduces the burden on both you and your family.
Attaining FAFSA independent status while representing yourself is thus an important way of making yourself eligible for the maximum possible amount of financial aid. Savings today will translate into a more stable and rewarding college experience tomorrow. The money saved can allow you to devote more time and resources to your studies and enjoy your college days. Being FAFSA independent is thus a goal eligible college students should aspire for.