select all of the correlation coefficients that represent a linear model with a weak correlation. -0.982…

select all of the correlation coefficients that represent a linear model with a weak correlation. -0.982 -0.618 -0.103 0.204 0.907 1

select all of the correlation coefficients that represent a linear model with a weak correlation. -0.982 -0.618 -0.103 0.204 0.907 1

Answer

Explanation:

Step1: Recall correlation - coefficient range

The correlation coefficient (r) ranges from - 1 to 1. Values close to - 1 or 1 indicate a strong linear relationship, while values close to 0 indicate a weak linear relationship.

Step2: Analyze each value

  • For (r=-0.982), it is close to - 1, so it represents a strong negative linear relationship.
  • For (r = - 0.618), it is moderately negative.
  • For (r=-0.103), it is close to 0, representing a weak negative linear relationship.
  • For (r = 0.204), it is close to 0, representing a weak positive linear relationship.
  • For (r = 0.907), it is close to 1, representing a strong positive linear relationship.
  • For (r = 1), it represents a perfect positive linear relationship.

Answer:

-0.103, 0.204