A recent study examined several variables on collegiate football players, includ

Question

A recent study examined several variables on collegiate football players, including the variable Years, which is number of years playing football, and the variable Percenbile, which gives percentile on a cognitive reaction test. The regression line for predicting Percentle 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 8 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 8 years is The cognitive percentile for someone who has played football for 13 years is LINK TO TEXT (b) Interpret the slope in terms of football and cognitive percentile. O For every 3.34 years of playing football, cognitive percentile is 102 O 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 percentille. For every additional year playing football, the predicted cognitive percentile goes down 3.34 of footba LINK TO TEXT (c) All the participants had played between 7 and 18 years of football. Is it reasonable to interpret the intercept in context? LINK TO TEXT

Explanation / Answer

a) P = 102 - 3.34 * years

x = 8

P = 102 - 3.34 * 8

P = 75.28

x = 13

P = 102 - 3.34 * 13

P = 58.58

b) Option D

c) Yes, as value is stll posotive for intercept

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