Question

Which or the following is not a possible value for the correlation coefficient (r)?

Answer 1

The correct answer is 2– it is NOT a possible value for correlation coefficient (r) because the value of “r” must always be between +1 and –1.

Answer 2

Answer:  A) 2

Explanation:

The correlation coefficient r has this range of values

$-1 \le r \le 1$

which can be stated as "r is between -1 and 1, including both endpoints".

As you can see, r = 2 is outside this range and not a possible correlation coefficient. The largest r can get is r = 1 to indicate perfect positive linear correlation.

On the other end of the spectrum, r = -1 means perfect negative linear correlation. In between, r = 0 means no linear correlation at all.