which correlation coefficient represents a moderate negative correlation?\no r = -0.04\no r = -0.24\no r =…

which correlation coefficient represents a moderate negative correlation?\no r = -0.04\no r = -0.24\no r = -0.64\no r = -0.94

which correlation coefficient represents a moderate negative correlation?\no r = -0.04\no r = -0.24\no r = -0.64\no r = -0.94

Answer

Explanation:

Step1: Recall correlation - coefficient ranges

The correlation coefficient $r$ ranges from - 1 to 1. A negative $r$ value indicates a negative correlation. Values close to - 1 are strong negative correlations, and values closer to 0 are weak negative correlations. Moderate negative correlations are in the middle - range of negative values.

Step2: Analyze each option

  • For $r=-0.04$, it is close to 0, so it represents a weak negative correlation.
  • For $r = - 0.24$, it is also close to 0, representing a weak negative correlation.
  • For $r=-0.64$, it is in the middle - range of negative values for $r$. It represents a moderate negative correlation.
  • For $r=-0.94$, it is close to - 1, representing a strong negative correlation.

Answer:

$r=-0.64$