https://file.aiquickdraw.com/mathbot/file/1726682328585ue05saft.jpg

In the scatter plot shown in the image, the data points represent a relationship between "Weight (in hundreds of pounds)" and "Miles per Gallon (mpg)." The black points follow a general pattern, showing that as the weight of the vehicle increases, its fuel efficiency (miles per gallon) decreases.

There is also a light blue point that has been added, and the question asks whether this added point is an outlier in the x-direction or the y-direction.

- **X-direction**: This refers to the horizontal axis (weight in hundreds of pounds). If a point is far from the other points in the horizontal direction, it's an x-direction outlier.
- **Y-direction**: This refers to the vertical axis (miles per gallon). If a point is far from the other points in the vertical direction, it's a y-direction outlier.

### Observations:
- The added light blue point has a **much lower weight** than the other data points, which are clustered between 10 to 40 (hundreds of pounds). The added point is around 5 on the x-axis.
- The added point has a **similar miles per gallon (around 20 mpg)** compared to the black points, meaning it aligns in the vertical direction.

### Conclusion:
The added point is much further from the rest of the data in the **x-direction**, meaning it is an **x-direction outlier**.

Therefore, the correct answer is:
- **a.) It is an outlier in the x-direction.**

Would you like further clarification or details on this? Here are five related questions to explore the topic more:

1. What is the definition of an outlier in statistics?
2. How does an outlier affect the correlation between two variables?
3. What techniques can be used to identify outliers in a dataset?
4. Can an outlier affect the slope of a regression line, and how?
5. What are potential reasons for data points to appear as outliers in real-world datasets?

**Tip**: Always consider both the x and y directions when analyzing scatter plot outliers, as a point can be an outlier in either or both directions!

Which statement is TRUE regarding the added point? a) It is an outlier in the x-direction. b) It is an outlier in the y-direction.

Learn how to identify outliers in a scatter plot by analyzing the x-direction and y-direction. This example features a relationship between vehicle weight and fuel efficiency, with a detailed explanation of how to spot outliers. Suitable for students in Grades 9-12.

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