To interpret the correlation coefficients, we need to consider both the strength and the direction of each correlation:
- Strength: Ranges from -1 to 1. Values closer to -1 indicate a strong negative correlation, values closer to 1 indicate a strong positive correlation, and values around 0 indicate little to no correlation.
- Direction: Positive values indicate a positive correlation, while negative values indicate a negative correlation.
The given coefficients are:
- −0.99872348 (strong negative)
- −0.89234651 (strong negative)
- 0.72643969 (moderate positive)
- 0.69846237 (moderate positive)
Now, let's rank these coefficients from weakest to strongest:
- 0.69846237 (weakest)
- 0.72643969 (stronger than 0.6984)
- −0.89234651 (strong negative)
- −0.99872348 (strongest negative)
Thus, the order from weakest to strongest is: 0.69846237, 0.72643969, −0.89234651, −0.99872348
The response that reflects this order is: 0.69846237, 0.72643969, −0.89234651, and −0.99872348.