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AP® Statistics · Unit 5 · Topic 5.1

Graphical Representations Between Two Quantitative Variables: Topic Checklist (Statistics 5.1)

Specific “I can…” statements for scatterplots of two quantitative variables, each linked to the guide section and practice question that shows whether you can do it.

Work through the list without notes. If you cannot do a statement, follow its link, then come back. Guide = study guide; Practice = practice questions.

Understanding

  • I can explain what bivariate quantitative data are and why both values must come from the same individual. (Guide: “From one variable to two”)
  • I can explain the difference between an explanatory and a response variable, and why “explanatory” does not mean “cause”. (Guide: “Explanatory and response variables”; Practice Q1)
  • I can explain what a positive or a negative association means, using “tends to”. (Guide: “Describing a scatterplot: four features”; Practice Q2)
  • I can explain why strength depends on scatter around the pattern, not on steepness. (Guide: “Describing a scatterplot: four features”; Practice Q3, Q7)

Skills

  • I can choose which variable goes on each axis in a new context. (Guide: “Explanatory and response variables”; Practice Q1, Q4)
  • I can construct a scatterplot with labelled axes, units and equal scale steps, without joining the dots. (Guide: “Constructing a scatterplot”; Practice Q4)
  • I can describe the form, direction and strength of an association, including a curved one. (Guide: Worked examples 1 and 2; Practice Q4, Q7)
  • I can identify unusual points and clusters and suggest a reason for them in context. (Guide: Worked example 1; Practice Q5)

Reasoning

  • I can use a scatterplot to decide whether a claim is supported, quoting evidence from the data. (Guide: Worked example 3; Practice Q6)
  • I can use one counterexample to reject a claim that says “always” or “every”. (Guide: Worked example 3; Practice Q6)
  • I can explain why an association shown in a scatterplot does not on its own show that one variable causes changes in the other. (Guide: Worked example 3)
  • I can write every description in context, naming both variables and the individuals. (All worked examples)

All ticked? Move on to Topic 5.2: Correlation, or return to the course roadmap.

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