The set of bivariate observation x1 y1 x2 y2 xn yn are such that all the values are distinct and all...........

Mathematics (NDA) Statistics

The set of bivariate observation (x1, y1), (x2, y2), .....(xn, yn) 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

0 and 1 only

0 and –1 only

0, 1 and –1

–1 and 1 only

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Explanation:

By definition
The set of bivariate observation (x1, y1), (x2, y2), .....(xn, yn) 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 (-1,1) only