To determine the type of association shown in the scatterplot, you need to look at the overall direction of the points plotted. Here are the interpretations you can use based on your options:
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Positive Association: If the points tend to rise from left to right, suggesting that as one variable increases, the other also increases.
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Negative Association: If the points tend to fall from left to right, suggesting that as one variable increases, the other decreases.
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No Association: If the points are scattered without any discernible pattern, indicating that changes in one variable do not predict changes in the other.
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Non-linear Association: If there is a pattern (like a curve) but does not follow a straight line.
Based on your responses, if you're observing that the points do not follow a straight line and don't suggest a clear positive or negative trend, the correct interpretation could indeed be "The graph shows a non-linear association."
If there is something more specific about the points' distribution in the scatterplot that leads you to conclude a different association, that could change your answer. However, from the options provided, you might consider the non-linear association if the points don't suggest a clear linear trend.
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