https://file.aiquickdraw.com/mathbot/file/1729302449003dfzaznrr.jpg

Let's analyze the image and address the questions:

### Part a: What association can you make from the data?
From the scatterplot, we can observe an inverse relationship between the time spent playing video games and the time spent studying. In general, as the time spent playing video games increases, the time spent studying decreases. This suggests a negative correlation.

### Part b: Use an ordered pair \((x, y)\) to identify any outliers.
To find outliers, we look for data points that don't follow the overall trend of the scatterplot. 

- Most data points seem to cluster within the range of playing video games between 20 and 80 minutes, with corresponding study times ranging from 20 to 100 minutes. 
- However, there is one point where the time spent playing video games is above 100 minutes, and the time spent studying is still relatively high (around 100 minutes). This point could be considered an outlier because it doesn't fit the general pattern of less studying as video game time increases.

The outlier appears to be around \((100, 100)\).

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Do you have any questions or would you like more details on any part of this analysis?

Here are 5 follow-up questions you could consider:
1. How would you describe the strength of the negative correlation?
2. What is a more precise mathematical way to measure the correlation?
3. How might we handle outliers in statistical analysis?
4. If more data points were collected, how might this trend change?
5. Could there be other factors influencing the relationship between study time and video game time?

**Tip:** Outliers can distort the overall trend of a dataset, so it's important to analyze them carefully to decide whether they should be included in the analysis.

Ruthie did a survey among her classmates comparing the time spent playing video games to the time spent studying. The scatterplot shows the relationship between the two variables.

Analyze the relationship between time spent playing video games and studying using a scatterplot. Identify the negative correlation and detect outliers. Suitable for students in Grades 6-8.

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