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In math this is called a parabola (with a negative coefficient on the squared term) but it suggests that the relationship is non-linear, specifically quadratic (the data is best explained by a squared term). In practical terms, this means that the relationship is one in which medium levels of the x variable result in the highest levels of the y variable. Stress and performance are a good example of this. Your performance is highest when you have medium amounts of stress. If low, you are unmotivated, if high, you choke. A second way of thinking of this is as an interaction (with itself) (the effect of stress on performance DEPENDS on the amount of stress you have).

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14y ago
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1w ago

A scatter diagram with dots forming an upside-down U shape typically indicates a quadratic relationship between the variables being plotted. This suggests that as one variable increases, the other initially increases, reaches a maximum point, and then begins to decrease. It is important to further analyze the relationship to understand the underlying pattern and potential implications.

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Q: What is a scatter diagram in which the dots form a kind of upside down U shape?
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