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2.4 Representing the Relationship Between Two Quantitative Variables

Part of Exploring Two-Variable Data in AP® Statistics. Read the opening section, then create a free account for the full interactive lesson, practice, and progress tracking.

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Creating Scatterplots

A scatterplot is the primary tool for exploring relationships between two quantitative variables.

Construction:

  1. Identify the explanatory variable (x-axis) and response variable (y-axis)
  2. Plot each individual as a point (xi,yi){(x_i, y_i)}
  3. Label axes with variable names and units
  4. Title the graph

Describing a scatterplot — use D.F.S.O.:

  • Direction — positive, negative, or no association
  • Form — linear, curved, or other pattern
  • Strength — strong, moderate, or weak
  • Outliers — individual points that deviate from the pattern

In this unit

9 lessons

  1. 2.1Introducing Statistics: Are Variables Related?Preview lesson
  2. 2.2Representing Two Categorical VariablesPreview lesson
  3. 2.3Statistics for Two Categorical VariablesPreview lesson
  4. 2.4Representing the Relationship Between Two Quantitative VariablesThis lesson
  5. 2.5CorrelationPreview lesson
  6. 2.6Linear Regression ModelsPreview lesson
  7. 2.7ResidualsPreview lesson
  8. 2.8Least Squares RegressionPreview lesson
  9. 2.9Analyzing Departures from LinearityPreview lesson

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