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Data was collected on 130 patients recording their percent of fat and Body Mass Index (BMI). What can you conclude from this scatterplot?

Question

Data was collected on 130 patients recording their percent of fat and Body Mass Index (BMI). What can you conclude from this scatterplot?

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Solution

To accurately conclude from the scatterplot of percent fat and Body Mass Index (BMI) for the 130 patients, we would typically follow these steps:

  1. ### Observing the Pattern

    • Identify whether there is a visible trend or pattern in the scatterplot (e.g., positive correlation, negative correlation, or no correlation).
    • Observe the shape of the distribution (linear, quadratic, etc.).
  2. ### Analyzing the Correlation

    • Assess the strength of the relationship: Are points clustered closely around a line (strong correlation) or spread out (weak correlation)?
    • Determine if the relationship is direct (as one variable increases, does the other also increase?) or inverse (as one variable increases, does the other decrease?).
  3. ### Identifying Outliers

    • Look for any points that fall far from the general trend of the data, indicating potential outliers.
  4. ### Conclusion

    • Summarize your findings regarding the relationship between percent fat and BMI based on the above observations.

Final Answer

Based on the analysis of the scatterplot, you can conclude the nature and strength of the correlation between percent fat and BMI, identify any trends, and note any significant outliers that may warrant further investigation.

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