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Mathematics, 23.01.2020 17:31 rafamoreura
players in any sport who are having great seasons, turning in performances that are much better than anyone might haveanticipated, often are pictured on the cover of sports illustrated. frequently, their performances then faltersomewhat, leading some athletes to believe in a "sports illustrated jinx." similarly, it is common for phenomenal rookies to have less stellar second seasons, the so-called "sophomore slump." while fans, athletes, and analysts have proposed many theories about what leads to such declines, a statistician might offer a simpler(statistical) explanation. explain.
what would be a better explanation for the decrease in performance of the sports illustrated cover athlete?
a. people on the cover are usually there for outstanding performances. because they are so far from the mean, the performance in the next year is likely to be closer to the mean.
b. the slope of the linear regression, predicting performance from years in the sport, must be negative because an athlete's performance always decreases over time. no matter how well an athlete performed one year, they must perform worse the next year.
c. people on the cover are usually considered the best of theyear, so naturally they reached the maximum level of athletic performance that year and it is impossible to improve upon that.
d. once an athlete has made the cover of sports illustrated, they have reached their ultimate goal as an athlete and lack motivation to try the following year.
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