Sketch a scatterplot where the association is linear, but the correlation is close to [r = 0].

Sketch a scatterplot where the association is linear, but the correlation is close to [r = 0].

Question
Scatterplots
asked 2021-03-04
Sketch a scatterplot where the association is linear, but the correlation is close to [r = 0].

Answers (1)

2021-03-05
An association is linear when there is no strong curvature present in the scatterplot.
The correlation is close to [r = 0], when the pattern slopes does not slope upwards nor downwards.
More precisely, an association that is linear with a correlation coefficient close to 0 needs to have a pattern that is (nearly) horizontal in the scatterplot.
For example, the following graph then has a correlation close to [r = 0] while also being linear.
image
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