To extend known results on the social hierarchy in monkeys, researchers scanned n = 14 healthy persons using positron emission tomography to image dopamine type 2/3 in the brain. The social status of each person was assessed using the Bartlett Simplified Measure of Social Status. Letting x = dopamine binding potential and y = social status, from Exercise 11.19 the summary statistics are

(a) If you predict social status from the dopamine binding potential, what percentage of the variation in social status will be explained by the least squares straight line based on dopamine?
(b) If you predict dopamine binding potential from the social status, what percentage of the variation in dopamine will be explained by the least squares straight line based on social status?
(c) Comment on your two answers.

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x=2.526 n= 14 y = 33.416 Σ (x- 2 = 1.607 Σ (x-5) (y-刃-19.305 Σ (y-y)? = 448.839