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Which graph would best model the relationship between hours studied and student performance on a 15-question test?(1 point)

Responses

Twenty-three points are plotted on a coordinate plane. The x-axis ranges from 0 to 12 in increments of 2. The y-axis ranges from 0 to 300 in increments of 50.
Image with alt text: Twenty-three points are plotted on a coordinate plane. The x-axis ranges from 0 to 12 in increments of 2. The y-axis ranges from 0 to 300 in increments of 50.

Twenty-three points are plotted on a coordinate plane. The x-axis ranges from 0 to 12 in increments of 2. The y-axis ranges from 0 to 300 in increments of 50.
Image with alt text: Twenty-three points are plotted on a coordinate plane. The x-axis ranges from 0 to 12 in increments of 2. The y-axis ranges from 0 to 300 in increments of 50.

Thirty points are plotted on a coordinate plane. The x-axis ranges from 0 to 16 in increments of 2. The y-axis ranges from 0 to 16 in increments of 2.
Image with alt text: Thirty points are plotted on a coordinate plane. The x-axis ranges from 0 to 16 in increments of 2. The y-axis ranges from 0 to 16 in increments of 2.

Sixteen data points are plotted on a scatterplot.
Image with alt text: Sixteen data points are plotted on a scatterplot.
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1 answer

To determine the best graph to model the relationship between hours studied and student performance on a 15-question test, consider the following:

  1. X-axis (Hours Studied): This should represent the number of hours studied.
  2. Y-axis (Student Performance): This should represent the performance, which likely correlates with the number of correct answers on the test.

Typically, the graph showing a positive correlation between hours studied and performance would have data points that generally trend upwards; as the study hours increase, performance should also increase.

Looking at the options provided:

  1. The first two options seem to depict a grid with scores ranging up to 300, but without specific information on how points are scattered, it's unclear if they truly reflect a positive correlation.

  2. The last option indicates a scatterplot which could be the most illustrative of the relationship. A scatterplot can effectively depict patterns or trends in data points.

If you have more context on the trends shown in the graphs, that information would help further solidify the answer. However, based on the descriptions, if the scatterplot displays points showing a general upward trend, it would likely be the best model for illustrating the positive relationship.

In summary, the last option, the scatterplot with data points, likely best captures the relationship between hours studied and student performance, provided it shows a trend reflecting that understanding.