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nonlinear association negative, linear association no association

Question

nonlinear association
negative, linear association
no association

Explanation:

Step1: Understand non - linear association

Non - linear association means the points on the scatter plot do not follow a straight - line pattern but have some curved or other non - straight relationship. Looking at the scatter plots, the one that has a curved or non - straight pattern (not a straight line and not random) is for non - linear association.

Step2: Understand negative linear association

Negative linear association implies that as the \(x\) - value increases, the \(y\) - value decreases in a straight - line fashion. So, we look for the scatter plot where the points form a downward - sloping straight - line trend.

Step3: Understand no association

No association means that there is no discernible pattern (neither a straight line nor a curved line) among the points. We look for the scatter plot where the points are randomly distributed.

Answer:

  • For non - linear association: The scatter plot with a curved pattern (e.g., if one of the plots has a U - shape or other non - straight shape).
  • For negative linear association: The scatter plot where the points form a downward - sloping straight - line trend.
  • For no association: The scatter plot with randomly distributed points.