Applications for U.S. home mortgages rose last week as interest rates dipped, an industry group said on Wednesday.

The Mortgage Bankers Association said its seasonally adjusted index of mortgage application activity, which includes both refinancing and home purchase demand, rose 11.1 percent in the week ended Jan. 2.

The MBA's seasonally adjusted index of refinancing applications rose 16.0 percent, while the gauge of loan requests for home purchases, a leading indicator of home sales, rose 4.5 percent.

Fixed 30-year mortgage rates averaged 4.01 percent in the week, down 3 basis points from 4.04 percent the week before.

The survey covers over 75 percent of U.S. retail residential mortgage applications, according to MBA.