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Which of the following could be the valid value(s) of the correlation coefficient between two variables? (a) -1(b) +1(c) -2(d) +2Choose the correct a
Question

Which of the following could be the valid value(s) of the correlation coefficient between two variables?
(a) -1
(b) +1
(c) -2
(d) +2
Choose the correct answer from the options given below:

A.

(a) only.

B.

(a) and (b) both.

C.

(a), (b), (c), and (d).

D.

(b) only.

Correct option is B

· The correlation coefficient (r) measures the strength and direction of a linear relationship between two variables.
· The possible range of r values is from -1 to +1:
· r = +1 → Perfect positive correlation (both variables increase together).
· r = -1 → Perfect negative correlation (one variable increases while the other decreases).
· r = 0 → No correlation (random relationship).
· Values beyond -1 and +1 (e.g., -2 or +2) are not possible, as correlation is a normalized measure.

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