Question

# Sketch a scatterplot where the association is nonlinear, but the correlation is close to [r = -1].

Scatterplots

Sketch a scatterplot where the association is nonlinear, but the correlation is close to $$[r = -1]$$.

The correlation is close to $$[r = -1]$$, when the pattern slopes downwards strongly and the points do not deviate much from this sloping downwards pattern.
For example, the following graph then has a correlation close to $$[r = -1]$$ while also being nonlinear (note: The correlation of this particular graph is 0.8941).