Final answer:
The correlation coefficient 0.01 represents the weakest relationship between two variables as it is the closest to 0, implying a very weak or virtually nonexistent relationship.
Step-by-step explanation:
To determine which of the following correlation coefficients represents the weakest relationship between two variables, we must understand that the correlation coefficient (often represented by the letter r) indicates the strength and direction of the relationship between variables. The correlation coefficient ranges from -1 to +1. A correlation coefficient close to 0 indicates a weak relationship, meaning changes in one variable are less predictable based on changes in the other variable. Conversely, coefficients near -1 or +1 indicate a strong relationship, with -1 being a perfect inverse relationship and +1 being a perfect direct relationship.
Comparing the given options, we see that:
- A) 0.01
- B) 0.10
- C) 0.55
- D) -0.62
Option A) 0.01 is the closest to 0, indicating the weakest relationship between the two variables.