FIG. 1 is a perspective view of a connector for a faucet mounted water filter illustrating my new design;

FIG. 2 is a left side elevational view of the design of FIG. 1;

FIG. 3 is a right side elevational view of the design of FIG. 1;

FIG. 4 is a front side elevational view of the design of FIG. 1;

FIG. 5 is a back side elevational view of the design of FIG. 1;

FIG. 6 is a top planar view of the design of FIG. 1; and

FIG. 7 is a bottom planar view of the design of FIG. 1;

FIG. 8 is a perspective view of an alternative embodiment of a connector for a faucet mounted water filter illustrating our new design;

FIG. 9 is a left side elevational view of the design of FIG. 8;

FIG. 10 is a right side elevational view of the design of FIG. 8;

FIG. 11 is a front side elevational view of the design of FIG. 8;

FIG. 12 is a back side elevational view of the design of FIG. 8;

FIG. 13 is a top planar view of the design of FIG. 8;

FIG. 14 is a bottom planar view of the design of FIG. 8;

FIG. 15 is a perspective view of an alternative embodiment of a connector for a faucet mounted water filter illustrating our new design;

FIG. 16 is a left side elevational view of the design of FIG. 15;

FIG. 17 is a top planar view of the design of FIG. 15; and,

FIG. 18 is a bottom planar view of the design of FIG. 15.

The broken lines form no part of the claimed design.