Correlations between UV extinction parameters and diffuse band strengths are south, using a data base of 50 stars with recently measured extinction curves. A novel aspect of this study is that the basic dependence of most interstellar parameters on E(B-V) (or, nearly equivalently, on the total hydrogen column density) has been largely canceled out. After this cancellation, a weak correlation is found between the 4430 A diffuse band and the 2175 A extinction feature. No other correlations are found. These results support a molecular origin for the 5780 A and 6284 A bands. It is speculated that the correlation pattern found for the 4430 A band can be explained if this band originates in reactions on disordered grain surfaces.