Final answer:
Option a. 0.08 is the correct answer as it is the coefficient that is closest to zero, indicating the weakest relationship between two sets of variables.
Step-by-step explanation:
The correct answer is option a. 0.08. Correlation coefficients range from -1 to 1, with values closer to 0 indicating a weaker relationship between variables and values closer to -1 or 1 indicating a stronger relationship. A positive correlation suggests that as one variable increases, the other tends to increase as well, while a negative correlation indicates that as one variable increases, the other tends to decrease. The coefficient of correlation measures the degree to which two variables are linearly associated.
Among the given options, +0.48 and -0.29 are closer to +1 and -1, respectively, which suggests a moderate relationship. However, -1.0 indicates a perfect inverse relationship. Therefore, option a. 0.08, being the closest to zero, indicates the weakest relationship between the two sets of variables.