Jamieson, Fausset and Brown on Jeremiah 14:7

7. do thou it--what we beg of Thee; interpose to remove the drought. Jeremiah pleads in the name of his nation (Psa 109:21). So "work for us," absolutely used (1Sa 14:6).

for thy name's sake--"for our backslidings are so many" that we cannot urge Thee for the sake of our doings, but for the glory of Thy name; lest, if Thou give us not aid, it should be said it was owing to Thy want of power (Jos 7:9; Psa 79:9; 106:8; Is 48:9; Eze 20:44). The same appeal to God's mercy, "for His name's sake," as our only hope, since our sin precludes trust in ourselves, occurs in Psa 25:11.