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Question
hope researches the impact of one variable on another. she graphs the data from her research and sees that the data forms a shape that is similar to an arch. what conclusion can hope draw from her graph?
The data has an arch - shaped form. In statistics, an arch - shaped relationship between variables implies a non - linear relationship. If the data is symmetrically arch - shaped, it may suggest a quadratic relationship where the effect of one variable on another first increases and then decreases (or vice - versa).
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Hope can conclude that there is a non - linear relationship between the two variables, potentially a quadratic one if the arch is symmetric.