@Joe188 the rule for AOTC is that the student be enrolled at least 1/2 time....that checked box indicates the rule is satisfied.
A student living away at college - whether in a dorm or off-campus apartment is considered temporarily away from home and therefore they are still living at home all 12 months of the year per the IRS rules.
As long as your child is under 24 years old and provides for less than 50% of his own support, and lives with you for at least 6 months of the year (and again, living away at college is still living at home in the IRS view), they are you Qualifying Child. You would claim them which makes you eligible for the Other Dependent Credit (up to $500) and satisfies one of the rules of AOTC (you must claim the student to claim the tax credit)
The AOTC credit is trickly and generally is dependent on Box 1 exceeding Box 5 of Form 1098-T (plus whatever qualified educational expenses and scholarships that are not part of the school's form)
