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Problem-Solving and Data AnalysisEasy–MediumScatterplot showing no association

Problem-Solving and Data Analysis practice question

Which of the following descriptions of a scatterplot indicates NO association between the two variables?

  1. A. The points are scattered evenly across the plot with no visible pattern.Correct
  2. B. The points lie close to a line that rises from left to right.
  3. C. The points lie close to a line that falls from left to right.
  4. D. The points follow a curve that rises and then falls.

Answer: A. The points are scattered evenly across the plot with no visible pattern.

An association means y tends to change in some pattern as x changes. Evenly scattered points with no pattern show none.

Why the other answers are wrong

B. The points lie close to a line that rises from left to right.
A rising line is a positive association.
C. The points lie close to a line that falls from left to right.
A falling line is a negative association.
D. The points follow a curve that rises and then falls.
A curve is still a pattern — a nonlinear association.

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