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Given two bivariate observations, (2, 3) and (3.5, b), where b < 2, the value of...

Given two bivariate observations, (2, 3) and (3.5, b), where b < 2, the value of the correlation coefficient r. please explain it clearly and show why

A. is always +1

B. is always ‒1

C. is always either +1 or ‒1, depending on the value of b

D. can be any number in the range 0 and +1, depending on the values of b

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Answer #1

here as there are only two observation correlation should be perfect

here slope =(3-b)/(2-3.5) which is negative as (3-b) will always be positive for b<2 and (2-3.5) is negative

therefore correlation is negative

option B is correct

B. is always ‒1

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