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AP Statistics 5.2 A Interpret the Correlation for a Linear Relationship Questions

Interpret correlation by its sign and magnitude for a linear association, while separating association from causation and model suitability.

Syllabus
Effective Fall 2026
Course
AP Statistics

Exam points

  • use the sign and absolute size of r to describe the direction and strength of a linear association
  • treat correlation as unit-free and unchanged by shifting, positive rescaling, or swapping variables
  • recognise that r near zero rules out strong linear association but can coexist with a nonlinear pattern
  • explain how unusual or influential points can substantially change correlation and apparent strength
  • do not infer causation from correlation, especially when design, subgroups, or lurking variables offer alternatives

AP Statistics 5.2 A Interpret the Correlation for a Linear Relationship Questions question 1

A newspaper in Germany reported that the more semesters needed to complete an academic program at the university, the greater the starting salary in the first year of a job. The report was based on a study that used a random sample of 24 people who had recently completed an academic program. Information was collected on the number of semesters each person in the sample needed to complete the program and the starting salary, in thousands of euros, for the first year of a job. The data are shown in the scatterplot below.

Figure for Question AP Statistics 5.2 A Interpret the Correlation for a Linear Relationship Questions question 1 — AP Statistics

An independent researcher received the data from the newspaper and conducted a new analysis by separating the data into three groups based on the major of each person. A revised scatterplot identifying the major of each person is shown below.

Figure for Question AP Statistics 5.2 A Interpret the Correlation for a Linear Relationship Questions question 1 — AP Statistics

Based on the analysis conducted by the independent researcher, how could the newspaper report be modified to give a better description of the relationship between the number of semesters and the starting salary for the people in the sample?

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