Pregunta

If a scatter plot shows points that are closely clustered together, what can you infer about the correlation between the variables?

Ask by Ortega Fowler. in the United States
Jan 14,2025

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Closely clustered points in a scatter plot indicate a strong correlation between the variables.

Solución

If a scatter plot shows points that are closely clustered together, it suggests a strong correlation between the variables. Here’s a breakdown of what this means:
  1. Positive Correlation: If the points cluster in a way that, as one variable increases, the other variable also increases, this indicates a strong positive correlation. The closer the points are to a straight line with a positive slope, the stronger the correlation.
  2. Negative Correlation: Conversely, if the points cluster such that as one variable increases, the other variable decreases, this indicates a strong negative correlation. Again, the closer the points are to a straight line with a negative slope, the stronger the correlation.
  3. No Correlation: If the points are scattered widely and do not show any discernible pattern, this suggests little to no correlation between the variables.
In summary, closely clustered points in a scatter plot indicate a strong correlation, whether positive or negative, depending on the direction of the clustering.

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Bonus Knowledge

When a scatter plot reveals points that are tightly clustered together, it typically indicates a strong correlation between the variables involved. This means that as one variable increases or decreases, the other variable tends to move in a consistent manner along with it. Whether positive or negative, the strength of the clustering suggests predictability in the relationship.
However, keep in mind that correlation does not imply causation! Just because two variables are closely related doesn’t mean one is causing the changes in the other. It’s essential to consider additional factors and context before jumping to conclusions about the nature of their relationship.

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