The correlation coefficient that represents the weakest correlation among the options given is 0.02.
Correlation coefficients range from -1 to 1. Values closer to 0 indicate weak correlation, while values closer to -1 or 1 indicate stronger correlations. Therefore, 0.02 indicates a very weak positive correlation, while the other values (such as -0.5 have a moderate negative correlation and -0.97 and 0.87 have strong correlations) are stronger.