We consider here predictability of Systolic Blood Pressure (SAP) time series under paced respiration (Akselrod et al 1985), and show that a suitable index separates healthy subjects from Chronic Heart Failure (CHF) patients. Systolic blood pressure (SAP) is the maximal pressure within the cardiovascular system as the heart pumps blood into the arteries. Paced respiration (breathing is synchronized with some external signal) is a well-established tool for relaxation and for the treatment of chronic pain and insomnia, dental and facial pain, etc. (Freedman and Woodward 1992). Entrainment between heart and respiration rate (cardiorespiratory synchronization) has been detected in subjects undergoing paced respiration (Pomortsev et al 1998). Paced breathing can prevent vasovagal syncope during head-up tilt testing; in healthy subjects under paced respiration the synchronization between the main processes governing cardiovascular system is stronger than the synchronization in the case of spontaneous respiration (Prokhorov et al 2003). However, a number of important questions remain open about paced breathing, including the dependence on the frequency of respiration and whether it affects the autonomic balance.