Which of the following value of Karl Pearson’s correlation coefficient indicates strongest relationship ?
r = –0.9
The strength of a linear relationship depends on the absolute value of r, not its sign. The sign only gives the direction (positive or negative); the closer |r| is to 1, the stronger the relationship.
|0.02| = 0.02, |-0.9| = 0.9, |0.0| = 0 and |-0.04| = 0.04. The largest magnitude is 0.9, a strong negative correlation, while the other values are almost zero.
Hence, the answer is r = -0.9.
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