The Multi-Attribute Prediction Language (MAPL), an analysis metamodel for non-functional qualities of systems-ofsystems, is introduced. MAPL features analysis in five nonfunctional areas: service cost, service availability, data accuracy, application coupling, and application size. In addition, MAPL explicitly includes utility modeling to make tradeoffs between the qualities. The paper introduces how each of the five non-functional qualities is modeled and quantitatively analyzed based on the ArchiMate standard for enterprise architecture modeling and the previously published Predictive, Probabilistic Architecture Modeling Framework, building on the well-known UML and OCL formalisms. The main contribution of MAPL lies in combining all five nonfunctional analyses into a single unified framework.