The formalism of Least-Squares Adjustment enables treatment of response-parameter correlations. We study the effects of such correlations on the adjusted parameters and responses and on their associated uncertainty matrices. In previous work in order to bracket these effects and avoid unnecessary technical complications, we limited our discourse to an elementary one-parameter one-response criticality problem. Here we extend the analysis to more than one parameter and point out the differences in the results. The main conclusions are still the same; it is worth its while to use the adjustment methodology even if the exact response-parameter correlations are not known.