which correlation coefficient represents a moderate negative correlation?\n$r = - 0.04$\n$r = - 0.24$\n$r =…

which correlation coefficient represents a moderate negative correlation?\n$r = - 0.04$\n$r = - 0.24$\n$r = - 0.64$\n$r = - 0.94$

which correlation coefficient represents a moderate negative correlation?\n$r = - 0.04$\n$r = - 0.24$\n$r = - 0.64$\n$r = - 0.94$

Answer

Explanation:

Step1: Recall correlation coefficient ranges

The correlation coefficient $r$ ranges from -1 to 1. Values close to -1 indicate a strong negative correlation, values close to 0 indicate little to no correlation, and values in -0.5 to -0.7 (approximate) range indicate a moderate negative correlation.

Step2: Analyze each option

  • For $r=-0.04$, it is close to 0, indicating little correlation.
  • For $r = -0.24$, it is also close to 0, indicating weak correlation.
  • For $r=-0.64$, it lies in the -0.5 to -0.7 approximate range for moderate negative correlation.
  • For $r=-0.94$, it is close to -1, indicating a strong negative correlation.

Answer:

$r=-0.64$