To interpret the correlation coefficients and order them from weakest to strongest, we consider the absolute values of the coefficients, as well as their signs. Correlation values range from -1 to 1, where values closer to -1 represent strong negative correlations, values closer to 1 represent strong positive correlations, and values around 0 indicate weak or no correlation.
The correlation coefficients given are:
- −0.99872348
- −0.89234651
- 0.72643969
- 0.69846237
First, we take the absolute values:
- |-0.99872348| = 0.99872348
- |-0.89234651| = 0.89234651
- |0.72643969| = 0.72643969
- |0.69846237| = 0.69846237
Now, we will order these absolute values from weakest to strongest:
- 0.69846237 (weakest)
- 0.72643969
- 0.89234651
- 0.99872348 (strongest)
Now, we consider the signs:
- The weakest is positive 0.69846237.
- Next is positive 0.72643969.
- Followed by negative 0.89234651.
- The strongest is negative 0.99872348.
Thus, the final order from weakest to strongest correlation is:
0.69846237, 0.72643969, -0.89234651, and -0.99872348.
Based on the provided options, the correct response is: 0.69846237, 0.72643969, negative 0.89234651, and negative 0.99872348.
3 answers