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Football and Cognitive Percentile A recent study1 examined several variables on collegiate football players, including the variable Years, which is number of years playing football, and the variable Percentile, which gives percentile on a cognitive reaction test. The regression line for predicting Percentile from Years is: Percentile 102-3.34 Years Singh R, et al., Relationship of Collegiate Football Experience and Concussion with Hippocampal Volume and Cognitive Outcomes. JAMA, 311(18),2014. Data values are estimated from information in the paper. (a) Predict the cognitive percentile for someone who has played football for 10 years and for someone who has played football for 13 years. Enter the exact answers. The cognitive percentile for someone who has played football for 10 years is The cognitive percentile for someone who has played football for 13 years is b) Interpret the slope in terms of football and cognitive percentile. For every additional year playing football, the predicted cognitive percentile goes down 3.34. For every 3.34 years of playing football, cognitive percentile is 102 For every additional unit that cognitive percentile goes up, the predicted number of years of playing football goes down 3.34. O People who play more years of football score lower on cognitive percentile. (c) All the participants had played between 7 and 18 years of football. Is it reasonable to interpret the intercept in context?

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