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Learning outcomes

  • describe association using standard statistical language
  • distinguish positive, negative, and no clear association
  • recognize strength and form
  • identify outliers in a scatterplot

Four common description words

Direction

  • positive
  • negative
  • no clear direction

Form

  • linear
  • curved
  • no clear form

Strength

  • strong
  • moderate
  • weak

Unusual features

  • outliers
  • clusters
  • gaps

Examples

  • strong positive linear association
  • weak negative association
  • no apparent association

Why wording matters

  • Statistics answers should be precise.
  • Saying “they are connected” is weaker than saying “there is a moderate positive linear association.”

Exam hints and traps

  • Strong does not mean steep; it means points stay close to a pattern.
  • Positive means y tends to increase as x increases.
  • A curved pattern is not linear even if the relationship is strong.
  • Outliers can distort interpretation.

Quick practice

  1. What does positive association mean?
  2. Can a relationship be strong but curved?
  3. What is an outlier?

Answer key

  1. As one variable increases, the other tends to increase
  2. Yes
  3. A point far from the general pattern