Final answer:
The correlation coefficient +0.82 represents the strongest relationship among the given options because it has the highest absolute value, indicating the closest to +1 or -1 which implies the strongest correlation.
Step-by-step explanation:
When comparing correlation coefficients, the strength of the relationship is indicated by how close the number is to -1 or +1. The sign (+/-) shows the direction of the relationship, but it is the absolute value that shows the strength. Therefore, to identify which of the following correlation coefficients represents the strongest relationship, we need to consider the absolute values of the given numbers.
- a. +.14 (Absolute value: 0.14)
- b. +.82 (Absolute value: 0.82)
- c. −.02 (Absolute value: 0.02)
- d. −.34 (Absolute value: 0.34)
- e. +.56 (Absolute value: 0.56)
Clearly, +0.82 has the highest absolute value among the options listed, indicating the strongest relationship. Whether this correlation is positive or negative, a higher number closer to 1 or −1 signifies a stronger relationship.