Question

Interpret the following correlation coefficients and list them in order from weakest to strongest. −0.89234651 0.72643969 −0.99872348 0.69846237 (1 point) Responses −0.89234651 , −0.99872348 , 0.69846237, and 0.72643969 negative 0.89234651 , negative 0.99872348 , 0.69846237, and 0.72643969 0.69846237, 0.72643969, −0.89234651 , and −0.99872348 0.69846237, 0.72643969, negative 0.89234651 , and negative 0.99872348 −0.99872348 , −0.89234651 , 0.72643969, and 0.69846237 negative 0.99872348 , negative 0.89234651 , 0.72643969, and 0.69846237 0.69846237, 0.72643969,−0.99872348 , and −0.89234651

Answer 1

To interpret the correlation coefficients and list them in order from weakest to strongest, we can follow these steps:

1. **Understanding Correlation Coefficients**:
- A correlation coefficient (r) ranges from -1 to 1.
- Values closer to 1 indicate a strong positive correlation.
- Values closer to -1 indicate a strong negative correlation.
- Values around 0 indicate no correlation.
- The strength is determined by the absolute value: |r|.

2. **Calculating the Absolute Values**:
- For negative correlations, we consider their absolute values to compare their strengths:
- |-0.89234651| = 0.89234651
- |-0.99872348| = 0.99872348
- |0.72643969| = 0.72643969
- |0.69846237| = 0.69846237

3. **Ranking from Weakest to Strongest**:
- Weakest: |0.69846237| = 0.69846237
- Next: |0.72643969| = 0.72643969
- Next: |-0.89234651| = 0.89234651
- Strongest: |-0.99872348| = 0.99872348

4. **Final Ordering**:
- 0.69846237, 0.72643969, -0.89234651, -0.99872348

Thus, the correct order from weakest to strongest correlation is:
**0.69846237, 0.72643969, -0.89234651, -0.99872348**.