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Correlation vs Causation Scenarios

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About This MicroSim

Two variables that move together are not always cause and effect. This MicroSim presents 13 short scenarios, each with two correlated variables labeled X and Y. For every scenario you choose the explanation that fits best: X causes Y, Y causes X (reverse causation), or a Third Variable Z that drives both. The causal diagram redraws to show your choice, and the feedback panel explains why the best answer is correct.

The scenarios include the chapter's own examples (ice cream and drowning, books and income, coffee and heart disease, Acorn Archie's birds) along with classic reverse-causation traps and a few relationships that really are causal.

How to Use

  1. Read the scenario card and find the two variables in the X and Y boxes.
  2. Click X causes Y, Y causes X, or Third Variable. The diagram shows the pathway you picked in green (correct) or red (try again).
  3. If you are stuck, click Reveal Answer to see the best explanation and the hidden variable.
  4. Click Next Scenario to continue. The score counts scenarios you classified correctly on the first try.
  5. After the last scenario, read the summary and click Reset to practice again in a new order.

Iframe Embed Code

You can add this MicroSim to any web page by adding this to your HTML:

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<iframe src="https://dmccreary.github.io/statistics-course/sims/correlation-causation-scenarios/main.html"
        height="542px"
        width="100%"
        scrolling="no"></iframe>

Lesson Plan

Learning Objectives

By the end of this activity, students will be able to:

  1. Classify a correlation as direct causation, reverse causation, or the result of a third variable (Apply)
  2. Identify a plausible lurking variable that could cause both variables in an association (Apply)
  3. Explain why an observed correlation alone does not justify a causal claim (Understand)

Bloom's Taxonomy Level

Apply - students classify.

Grade Level

9-12 (AP Statistics)

Duration

15-25 minutes

Prerequisites

  • Scatterplots and correlation (Chapter 6)
  • Explanatory and response variables

Activities

  1. Warm-Up (5 min): Show the ice cream and drowning scenario to the whole class. Ask students to vote before anyone clicks. Record the votes, then reveal.
  2. Guided Practice (5 min): Work two scenarios together. For each one, apply Sylvia's test out loud: "If I magically changed just X, would Y have to change?"
  3. Independent Practice (10 min): Students complete all 13 scenarios and record their first-try score. For every miss, they write one sentence explaining the correct pathway.

Discussion Questions

  • Which scenarios were hardest to classify? What made them tricky?
  • The fertilizer scenario is labeled cause and effect. What feature of that study justifies the causal claim?
  • Invent a new scenario for each of the three explanations and trade with a partner.

Assessment

  • First-try score of at least 10 out of 13
  • Student can name the third variable before clicking Reveal Answer
  • Student writes a new scenario and correctly identifies its causal structure

Common Misconceptions

  • A strong correlation proves that one variable causes the other
  • The variable named first must be the cause
  • A third variable means the two variables are not really correlated

References

  1. Chapter 8: Causation and Study Design - the textbook section this MicroSim supports
  2. Correlation does not imply causation - Wikipedia overview with reverse causation and third-variable examples
  3. Confounding - Wikipedia article on variables that influence both the explanatory and response variables