Corona models tested with IUE and Einstein observations

Compilations of IUE and Einstein observations which show that the emissions from the outer layers of cool stars are nonlinearly correlated are discussed. This result can be used to test theoretical corona models as well as hypotheses on the mechanism that determines the location of the transition region. In stars in which most of the X-ray emission originates in small coronal loops it may be necessary that part of the emitting plasma is hotter than 20 million K or that the transition region is not only heated by thermal conduction, but also by downflows. Observational evidence for both these effects, and methods for analyzing the geometrical structure of outer stellar atmospheres are considered.