Question

which statement correctly describe the data shown in the scatter plot?
the point (2, 14) is an outlier.
the scatter plot shows no association.
the scatter plot shows a negative association.
the scatter plot shows a linear association.

Explanation:

1. Analyze "The point (2, 14) is an outlier": Looking at the scatter plot, at x = 2, the y - value is around 3 - 5, not 14, so (2, 14) is not a data point here, so this statement is wrong.
2. Analyze "The scatter plot shows no association": The points generally show a trend where as x increases, y increases, so there is a positive association, so this statement is wrong.
3. Analyze "The scatter plot shows a negative association": Since as x increases, y increases, it is a positive association, not negative, so this statement is wrong.
4. Analyze "The scatter plot shows a linear association": The points seem to follow a roughly straight - line trend (as x increases, y increases in a somewhat linear way), so this statement is correct.

Answer:

The scatter plot shows a linear association.