Short Answer

A clinical study analyzes the relationship between patients' daily physical activity (in minutes) and their scores on a cognitive performance test, finding a Pearson's correlation coefficient of r=+0.48r = +0.48. Apply Cohen's guidelines to write a brief statement interpreting the strength and direction of this relationship.

Question: A clinical study analyzes the relationship between patients' daily physical activity (in minutes) and their scores on a cognitive performance test, finding a Pearson's correlation coefficient of r=+0.48r = +0.48. Apply Cohen's guidelines to write a brief statement interpreting the strength and direction of this relationship.

Sample answer: According to Cohen's guidelines, a Pearson's rr of +0.48+0.48 represents a large positive relationship. This means there is a strong positive relationship between daily physical activity and cognitive performance, indicating that as daily physical activity increases, cognitive performance scores also tend to increase.

Key points:

  • Classify r=+0.48r = +0.48 as representing a large relationship because it is near ±0.50\pm 0.50.
  • Identify the direction of the relationship as positive.
  • Interpret the relationship in terms of the variables (physical activity and cognitive performance).

Rubric: The response must apply the guidelines by: 1) identifying r=+0.48r = +0.48 as a large relationship because it is near ±0.50\pm 0.50, and 2) identifying it as a positive relationship (positive direction).

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Updated 2026-05-26

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Research Methods in Psychology - 4th American Edition @ KPU

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