Malaria remains a major health problem of our time. The disease plagues human society and impacts obnoxious and immeasurable burden on human population. Since children particularly are the worse affected, it is pertinent to examine some of the demographic factors connections in malaria incidence. This paper is aimed at modeling length of stay using covariates from hospital register and also assessing interaction effects. Covariates were assessed through morbidity and mortality register at the Tamale Teaching hospital. The results showed that expected length of stay per day at hospital was influenced by covariates such as outcome on admission, referral status, distance, treatment, season and sex of children administered as malaria patients at the Tamale Teaching hospital. Also, there was sufficient evidence to show that there is interaction effect between; outcome on admission and referral status, sex and referral status and treatment and the season in which patients were admitted as malaria patients.