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Provide an example to illustrate how we can have a low correlation yet the two variables are
directly related.
Solution
The Pearson correlation coefficient can only quantify the strength of the LINEAR
relationship. If a scatterplot of two variables forms a circle, the correlation would be reported as
zero even though there is a clear non linear relationship.

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Provide an example to illustrate how we can have a low correlation y.pdf

  • 1. Provide an example to illustrate how we can have a low correlation yet the two variables are directly related. Solution The Pearson correlation coefficient can only quantify the strength of the LINEAR relationship. If a scatterplot of two variables forms a circle, the correlation would be reported as zero even though there is a clear non linear relationship.