GOV. CHARLIE BAKER returned the Legislature’s bill to tax and regulate short-term rentals on Wednesday, waiting until the day after the House and Senate adjourned formal sessions for the year to propose an amendment that would exempt homeowners that rent out their units for fewer than 14 days a year.

The governor is also proposing to limit the amount of information that will be made available through a new public registry of short-term rental housing units, and says changes to the definition of a short-term rental must be made in order not to violate the terms of the bonds used to finance the Boston Convention and Exhibition Center’s construction.