It is a known fact that either low and high temperature can worsen health condition of the population, in particular among the elderly. In this work we will consider the issue of how temperature can explain particular health phenomena: we consider, for the city of Milan, the daily number of admissions to hospital due to all nonincidental causes for people aged 75 and more during summer periods (June, July and August) in the years 1993 to 2003 and the daily number of deaths in the same age class and year period but for the years 1993 to 2002.