It appears that Berkeley Regents’ scholarship money is the replacement of the typical student contribution (loans and work study, usually around $8,000 or so for high-need students) with additional grant/scholarship. No-need students get $2,500. See http://financialaid.berkeley.edu/sites/default/files/docs/forms/2014-15_RC_Tenure_Contract_Terms_and_Conditions.pdf .
For non-residents (who normally pay about $24,000 additional tuition, with no financial aid coverage for that amount), the Regents’ scholarship includes that amount for those with financial need; no-need non-residents get $25,000 per year (approximately the non-resident additional tuition plus about $1,000). See http://financialaid.berkeley.edu/sites/default/files/docs/forms/2014-15_RC_Domestic_Nonresident_Tenure_Contract_Terms_and_Conditions.pdf .
UCSB Regents’ scholarship is $6,000. Other campuses have their own award amounts.
Each campus also determines its own additional perks and the renewal GPA.