The scatterplot shows the relationship between two variables, x and y. Which of the following graphs shows the most appropriate model for the data?
Correct answer: D. D
- A. A
- B. B
- C. C
- D. D
Explanation
Choice D is correct because it provides a model in the form of an increasing curve that closely follows the trend of the data points in the scatterplot. The data points exhibit an increasing, non-linear trend, and the model in option D accurately captures this trend with points both above and below the curve. Option A is incorrect because it suggests a linear model, which does not fit the curved trend. Option B is incorrect due to its decreasing line, which contradicts the increasing trend of the data points. Option C is incorrect because its model is positioned above all data points, failing to represent the data accurately.
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