Which of the following correlation coefficients represents no correlation between two variables?

The correlation coefficient that represents no correlation between two variables is 0. In statistical terms, correlation coefficients range from -1 to 1:

1. A correlation coefficient of 1 indicates a perfect positive correlation, meaning as one variable increases, the other variable also increases perfectly in tandem.
2. A correlation coefficient of -1 indicates a perfect negative correlation, meaning as one variable increases, the other variable decreases perfectly in tandem.
3. A correlation coefficient of 0 indicates no correlation, meaning there is no linear relationship between the two variables.

Therefore, when analyzing the correlation between two variables, a coefficient of zero signifies that changes in one variable do not predict any changes in the other variable.