To interpret correlation coefficients, we look at both their strength (how close they are to 1 or -1) and the direction (positive or negative). Correlation coefficients range from -1 to 1:
- Values close to 1 indicate a strong positive correlation.
- Values close to -1 indicate a strong negative correlation.
- Values close to 0 indicate little to no correlation.
Given the correlation coefficients you provided:
- −0.99872348 (very strong negative correlation)
- −0.89234651 (strong negative correlation)
- 0.72643969 (strong positive correlation)
- 0.69846237 (moderate positive correlation)
Now, let's rank them from weakest to strongest based on how close they are to 0 or how extreme they are:
- 0.69846237 (weakest positive correlation)
- 0.72643969 (stronger positive correlation)
- −0.89234651 (strong negative correlation)
- −0.99872348 (strongest negative correlation)
Thus, the order from weakest to strongest correlation is:
0.69846237, 0.72643969, −0.89234651, −0.99872348
So, the correct response is:
0.69846237, 0.72643969, −0.89234651, and −0.99872348.
1 answer