Scholarships (even the taxable portion), and the expenses they cover, are ignored in the dependency support test. So, no, you did not provide $7400 of support. You only provided $1400.
The support value of the home, provided by the parent, is the fair market rental value of the home plus utilities & other expenses divided by the number of occupants.
The IRS has a worksheet that can be used to help with the support calculation. See: http://apps.irs.gov/app/vita/content/globalmedia/teacher/worksheet_for_determining_support_4012.pdf
