select all of the correlation coefficients that would suggest a weak linear relationship between two…

select all of the correlation coefficients that would suggest a weak linear relationship between two - variable data. 0.94 0.23 0 -0.17 -0.86

select all of the correlation coefficients that would suggest a weak linear relationship between two - variable data. 0.94 0.23 0 -0.17 -0.86

Answer

Explanation:

Step1: Recall correlation - coefficient rules

The correlation coefficient $r$ ranges from - 1 to 1. A value close to 1 or - 1 indicates a strong linear relationship, while a value close to 0 indicates a weak linear relationship.

Step2: Analyze each option

  • For $r = 0.94$, it is close to 1, so it represents a strong positive linear relationship.
  • For $r=0.23$, it is close to 0, so it represents a weak positive linear relationship.
  • For $r = 0$, it indicates no linear relationship, which can be considered as the weakest form of linear - relatedness in a sense.
  • For $r=-0.17$, it is close to 0, so it represents a weak negative linear relationship.
  • For $r=-0.86$, it is close to - 1, so it represents a strong negative linear relationship.

Answer:

B. 0.23, C. 0, D. -0.17