Question

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.
¹ 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.
Predict the cognitive percentile for someone who has played football for 7 years and for someone who has played football for 16 years. Enter the exact answers.

Answer 1

Complete Question

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Answer:

The cognitive percentile for someone who has played for 7 years is 78.62

The cognitive percentile for someone who has played for 16 years is 48.56

Explanation:

From the question the regression line for predicting percentile from years is given as

percentile =
`102 - 3.34 \ Years`

For someone who has played for 7 years his cognitive percentile would be

`Percentile = 102 - 3.34(7)`

`=78.62`

For someone who has played for 16 years his cognitive percentile would

be
`Percentile = 102 - 3.34(16)`

`=48.56`