Let x and y equal the ACT scores in social science and natural science, respectively, for a student who is applying for admission to a small liberal arts college. A sample of n = 15 such students yielded the following data:

(a) Calculate the least squares regression line for these data.
(b) Plot the points and the least squares regression line on the same graph.
(c) Find point estimates for α, β, and σ2.

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