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

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

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.
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Answers

Answered by GPT-4o mini
To determine which graph best models the relationship between hours studied and student performance on a 15-question test, we would generally expect to see a positive correlation between the number of hours studied and the students' performance.

Given the options:

1. **Sixteen data points on a scatterplot** - lacks additional detail for assessment.

2. **Twenty-three points on a coordinate plane (x-axis 0 to 12, y-axis 0 to 300)** - likely displays a range of performance levels against study hours. If there's a positive trend, this could be a good option if the data supports it.

3. **Twenty-three points on a coordinate plane (same details as above)** - this option appears to be repeated, so the same analysis applies.

4. **Thirty points on a coordinate plane (x-axis 0 to 16, y-axis 0 to 16)** - if the scale covers only up to 16 and reflects a test performance also out of 16, there might not be sufficient differentiation to show the performance in a way that represents results from a 15-question test.

Without exact visual representation, any graph demonstrating a clear upward trend with increasing hours studied would be ideal. The graphs with 23 points might be a suitable choice if they exhibit a positive correlation trend.

Ultimately, if any graph shows a clear ascent of points as study hours increase, that would be the best option for modeling the expected relationship. If forced to choose based on available detail, the **second or third graphs** seem most likely to represent meaningful data concerning study hours and performance.

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