For which of the following scatterplots is the correlation between \(x\) and \(y\) closest to \(0\) ?

We can estimate the magnitude and sign of the slope of the line of best fit. If we want a correlation coefficient of 0, we should need a horizontal line.

Although the last option appears to look like a parabola, its line of best fit would be horizontal because there the early trend going down is symmetrical to the trend going up.

For all of the other options, there is a clear upward or downward trend.