These coral size, temperature and pCO2 data support the publication Edmunds and Burgess, Size-dependent physiological responses of the branching coral Pocillopora verrucosa to elevated teperature and pCO2, J Exp Biology, 2016. Additional tank conditions data are provided. This study focuses on the response of a branching coral to high temperature and PCO2, and explores the implications for this response of metabolic scalingin a colonial modular design. For the manuscript published in the Journal of Experimental Biology (219, 3896-3906 doi:10.1242/jeb.146381), an incorrect Supplementary Information Table S1 was submitted for publication. A revised table has now been published and contains changes associated with correctly assigning conditions to treatment tanks and values averaged over the number of days that accurately reflects the duration of each trial. This correction does not affect the conclusions of the experimental work. The change only affects the data describing tank conditions in Trial 1 and 2.