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In baseball games, the coefficient of restitution of baseballs stronglyaffects the flying distance of batted balls, which determines the home-runprobability. In Japan, the range of the coefficient of restitution of officialbaseballs has changed frequently over the past five years, causing the thenumber of home runs to vary drastically. We analyzed data from Japanesebaseball games played in 2014 to investigate the statistical properties ofpitched balls. In addition, we used the analysis results to develop abaseball-batting simulator for determining the home-run probability as afunction of the coefficient of restitution. Our simulation results areexplained by a simple theoretical argument.

Home-run probability as a function of the coefficient of restitution of baseballs