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: . 1Singh 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 11 years and for someone who has played football for 17 years. Enter the exact answers.

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17-06-2020
Mathematics

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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: . 1Singh 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 11 years and for someone who has played football for 17 years. Enter the exact answers.

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kollybaba55 kollybaba55 · Answer 1 · 2020-06-17T06:01:18+02:00

Complete Question:

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)

1Singh 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 11 years and for someone who has played football for 17 years. Enter the exact answers.

Answer:

cognitive percentile for someone who has played football for 11 years = 65.26

cognitive percentile for someone who has played football for 17 years = 45.22

Step-by-step explanation:

This is a very straight forward question. The regression line for predicting percentile from the number of years has been explicitly given in the question as:

Percentile = 102 - 3.34(years)

Therefore,

the cognitive percentile for someone who has played football for 11 years will be calculated as:

Percentile = 102 - 3.34(11)

Percentile = 102 - 36.74

Percentile = 65.26

the cognitive percentile for someone who has played football for 17 years will be calculated as:

Percentile = 102 - 3.34(17)

Percentile = 102 - 56.78

Percentile = 45.22