The Multi-Attribute Prediction Language (MAPL), an analysis metamodel for non-functional qualities of systems-of-systems, is introduced. MAPL features analysis in five non-functional areas: service cost, service availability, data accuracy, application coupling, and application size. In addition, MAPL explicitly includes utility modeling to make trade-offs 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 non-functional analyses into a single unified framework.