Explanation
The Spearman rank correlation coefficient measures the strength and direction of the monotonic relationship between two variables using their ranked values.
Key characteristics of Spearman correlation:
- Ranges from -1 to +1
- +1 indicates perfect positive monotonic relationship
- -1 indicates perfect negative monotonic relationship
- 0 indicates no monotonic relationship
- Based on ranks rather than raw values
- Less sensitive to outliers than Pearson correlation
Interpretation of values:
- 0.7 to 1.0: Strong positive correlation
- 0.3 to 0.7: Moderate positive correlation
- 0 to 0.3: Weak positive correlation
- -0.3 to 0: Weak negative correlation
- -0.7 to -0.3: Moderate negative correlation
- -1.0 to -0.7: Strong negative correlation
Since the question doesn't provide the actual data to calculate the coefficient, and given the options range from -0.7 to 0.7, option C (0.3) represents a moderate positive correlation between the stock returns of X and Y.