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To determine which graph shows the line of best fit for the data, let's examine the alignment of each line in relation to the data points:

1. **Top-left graph**: The line has a strong negative slope and passes through the center of the data cluster, aligning well with the general downward trend. This seems to represent the data well.

2. **Top-right graph**: The line has a slight negative slope but doesn’t appear to match the downward trend of the data points as closely. It seems more horizontal than what the data suggests.

3. **Bottom-left graph**: This line also has a negative slope and is well-aligned with the data points, similar to the top-left graph. It seems like a good candidate as well.

4. **Bottom-right graph**: This line is nearly horizontal and does not capture the downward trend observed in the data points.

Based on these observations, the **top-left or bottom-left graph** shows the best fit because both lines have a negative slope that matches the downward trend in the data.

If forced to choose one, **the top-left graph** would be preferable due to a slightly stronger alignment with the entire range of points.

Would you like further details or have any questions?

Here are related questions for further exploration:
1. How is the line of best fit determined in statistical analysis?
2. What are some methods for calculating the slope of a line of best fit?
3. How does the line of best fit help in predicting values in a dataset?
4. What is the difference between interpolation and extrapolation using a line of best fit?
5. How can residuals be used to assess the accuracy of a line of best fit?

**Tip**: In general, the line of best fit should pass as close as possible to all points, minimizing the vertical distance (residuals) from each point to the line.

Which graph shows the line of best fit for the data?

Explore how to identify the line of best fit in a scatter plot. This problem covers key concepts in data analysis and statistics, showing students how to recognize the line that best represents the trend in a data set. Suitable for Grades 8-10.

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