The set of bivariate observation ( x ₁, y ₁ ), ( x ₂, y ₂ ), . . ( x _ n , y _ n ) are such that all the values are distinct and all the observations fall on a straight line with non-zero slope. Then the possible values of the correlation c

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The set of bivariate observation ( x ₁, y ₁ ), ( x ₂, y ₂ ), . . ( x _ n , y _ n ) are such that all the values are distinct and all the observations fall on a straight line with non-zero slope. Then the possible values of the correlation coefficient between x and y are

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Correct answer: D. -1 and 1 only

By definition.

The set of bivariate observation ( x ₁, y ₁ ), ( x ₂, y ₂ ), . . ( x _ n , y _ n ) are such that all the values are distinct and all the observations fall on a straight line with non-zero slope. Then the possible values of the correlation coefficient between x and y are

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