choose all values of the correlation coefficient, r, that indicate a strong, but not perfect, linear…

choose all values of the correlation coefficient, r, that indicate a strong, but not perfect, linear association between two variables.\na. r = -0.85\nb. r = -0.10\nc. r = 0.15\nd. r = 0.90\ne. r = 1.00

choose all values of the correlation coefficient, r, that indicate a strong, but not perfect, linear association between two variables.\na. r = -0.85\nb. r = -0.10\nc. r = 0.15\nd. r = 0.90\ne. r = 1.00

Answer

Explanation:

Step1: Recall correlation - coefficient rules

The correlation coefficient (r) ranges from - 1 to 1. A value of (r = 1) or (r=-1) indicates a perfect linear association. Values close to - 1 or 1 (but not equal to - 1 or 1) indicate a strong linear association.

Step2: Analyze each option

  • Option A: (r=-0.85). The absolute - value (|r| = 0.85), which is close to 1, indicating a strong linear association.
  • Option B: (r=-0.10). The absolute - value (|r| = 0.10), which is far from 1, indicating a weak linear association.
  • Option C: (r = 0.15). The absolute - value (|r| = 0.15), which is far from 1, indicating a weak linear association.
  • Option D: (r = 0.90). The absolute - value (|r| = 0.90), which is close to 1, indicating a strong linear association.
  • Option E: (r = 1.00) indicates a perfect linear association.

Answer:

A. (r=-0.85), D. (r = 0.90)