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Question: Answered & Verified by Expert
The set of bivariate observation $\left(\mathrm{x}_{1}, \mathrm{y}_{1}\right),\left(\mathrm{x}_{2}, \mathrm{y}_{2}\right), \ldots . .(\mathrm{xn}, \mathrm{yn})$
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 and $\mathrm{y}$ are $\quad\mathrm{}$
MathematicsStatisticsNDANDA 2018 (Phase 2)
Options:
  • A 0 and 1 only
  • B 0 and $-1$ only
  • C 0,1 and $-1$
  • D $-1$ and 1 only
Solution:
2505 Upvotes Verified Answer
The correct answer is: $-1$ and 1 only
By definition.

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