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 Percentle from Years is: Percentile = 102-3.34-years. Predict the cognitive percentile for someone who has played football for 8 years and for someone who has played football for 13 years.

Question

Mathematics

Madison Santiago

2 December, 11:16

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 Percentle from Years is: Percentile = 102-3.34-years. Predict the cognitive percentile for someone who has played football for 8 years and for someone who has played football for 13 years.

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Karlie Harvey · Answer 1

Step-by-step explanation:

rth percentile = r (n + 1) / 100 (where n = 7)

i) For someone who had played football for 8 years = 8 (7 + 1) / 100 = 8*8/100 = 64/100

ii) For someone who had played football for 13 years = 13 (7 + 1) / 100 = 13*8/100 = 104/100