Question

which scatter plot shows no association?

Explanation:

Step1: Understand the concept of no association

In a scatter - plot with no association, the points are randomly scattered. There is no discernible pattern such as a line (linear association) or a curve (non - linear association).

Step2: Analyze the first plot

In the first plot, the points seem to follow a non - linear (in this case, a kind of two - part) pattern. There is a pattern in the upper left and lower right parts of the plot.

Step3: Analyze the second plot

In the second plot, the points seem to follow a pattern (it looks like a curve or a non - linear increasing pattern in the right - hand side).

Step4: Analyze the third plot

In the third plot, the points are randomly scattered. There is no obvious linear or non - linear trend.

Step5: Analyze the fourth plot

In the fourth plot, although the points are somewhat spread out, there is a very slight pattern (if we consider the general distribution of the points, it is not as random as the third plot).

Answer:

The third scatter - plot shows no association.