To extend known results on the social hierarchy of monkeys, researchers3 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, the data can be summarized by

Using these summary statistics
(a) Obtain the equation of the best fitting straight line.
(b) Calculate the residual sum of squares.
(c) Estimate σ2.

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n=14 x=2.526 у#33.416 Σ (x- -1.607 Σ (x- ) (y-у) = 19.305 Σ (y-y)2 = 448.839