You are misunderstanding the definition of Qualifying Relative.
There are two types of dependents, "Qualifying Children"(QC) and standard ("Qualifying Relative" in IRS parlance even though they don't have to actually be related). There is no income limit for a QC but there is an age limit, a relationship test and residence test. Only a QC qualifies a taxpayer for the Earned Income Credit . They are interrelated but the rules are different for each.
The son (or daughter) of a tax payer, that does not qualify to be a Qualifying child; can still be a Qualifying Relative dependent. But, there is now an income test. As others have told you, your parents can claim you if you had less than $4050 of income. Moving out may not change that. They can still claim a relative that does not live with them, as long as the income and support tests are met.
Being over 23 does not disqualify you from being a dependent; it only disqualifies you from being a qualifying child.
A person can still be a Qualifying relative dependent, if not a Qualifying Child, if he meets the 6 tests for claiming a dependent:
1. Closely Related OR live with the taxpayer ALL year
2. His/her gross taxable income for the year must be less than $4,050 (2016)
3. The taxpayer must have provided more than 1/2 his support
In either case:
4. He must be a US citizen or resident of the US, Canada or Mexico
5. He must not file a joint return with his spouse or be claiming a dependent of his own
6. He must not be the qualifying child of another taxpayer
