Football and Cognitive Percentile

Exercise 2.143 introduces a study that examines several variables on collegiate football players, including the variable Years, which is number of years playing football, and the variable Cognition, which gives percentile on a cognitive reaction test. Exercise 2.182 shows a scatterplot for these two variables and gives the correlation as 0.366. The regression line for predicting Cognition from Years is:Cognition^=1023.34Years

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(a)Predict the cognitive percentile for someone who has played football for 8 years and for someone who has played football for 14 years.

(b)Interpret the slope in terms of football and cognitive percentile.

(c)All the participants had played between 7 and 18 years of football. Is it reasonable to interpret the intercept in context? Why or why not?