Complete 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 Percentile, which gives percentile on a cognitive reaction test. The regression line for predicting Percentile from Years is:
Percentile 102 - 3.34 Years.
(a) 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. The cognitive percentile for someone who has played football for 7 years is The cognitive percentile for someone who has played football for 16 years is
Answer:
i) Cognitive percentile for someone who has played football for 7 years is 76.62
ii) Cognitive percentile for someone who has played football for 7 years is 46.56
Explanation:
Given the regression equation: 102 - 3.34 (years)
Required:
Predict the cognitive percentile for someone who has played football for 7 years and for someone who has played football for 16 years
a) Cognitive percentile for someone who has played football for 7 years:
102 - 3.34 (years)
= 102 - 3.34(Y)
Substitute 7 for Y
102 - 3.34(7)
= 102 - 23.38
= 76.62
Cognitive percentile for someone who has played football for 7 years is 76.62
b) Cognitive percentile for someone who has played football for 16 years:
102 - 3.34 (years)
= 102 - 3.34(Y)
Substitute 7 for Y
102 - 3.34(16)
= 102 - 53.44
= 46.56
Cognitive percentile for someone who has played football for 7 years is 46.56