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

Dolly Robinson

Dolly Robinson

Answered question

2021-03-04

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

Answer & Explanation

SoosteethicU

SoosteethicU

Skilled2021-03-05Added 102 answers

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.

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