Question: 5. A scatterplot contains three points: (1,1), (0,0), (1,1). A fourth point, (2,y), is to be added to the plot. Let r represent the correlation

5. A scatterplot contains three points: (−1,−1), (0,0), (1,1). A fourth point, (2,y), is to be added to the plot. Let r represent the correlation between x and y.

a. Find the value of y so that r = 1.

b. Find the value of y so that r = 0.

c. Explain why there is no value of y for which r = −1.

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