Consider the four (x, y) pairs (0, 0), (1, 1), (1, 1), and (2, 0).
a. What is the value of the sample correlation coefficient r?
b. If a fifth observation is made at the value x = 6, find a value of y for which r > 0.5.
c. If a fifth observation is made at the value x = 6, find a value of y for which r < 0.5.
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