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The scatter plot and best fit line show the relationship between femur length and height. The question asks about the meaning of the **x-value** on the line when **y = 160**, where y represents the height in centimeters.

To answer this:

1. Find the point on the line of best fit where \( y = 160 \) cm (the height).
2. Identify the corresponding femur length (the x-value) for this height.

Looking at the graph:

- When \( y = 160 \), the corresponding \( x \)-value appears to be approximately **42.6 cm** for femur length. 

Therefore, the correct interpretation of this value is that when the height of a person is **160 cm**, their **femur length** is expected to be **42.6 cm**, according to the line of best fit.

The correct answer is:  
**"An expected femur length of 42.6 centimeters when the height is 160 centimeters."**

Would you like a more detailed explanation, or do you have any other questions?

Here are five related questions to think about:
1. How is the line of best fit determined in scatter plots?
2. How would you calculate the slope of the line of best fit from the graph?
3. What does the slope of the line of best fit represent in this context?
4. How would you predict someone's height if their femur length was given?
5. How reliable are predictions made using the line of best fit?

**Tip:** The line of best fit is used to make predictions about the relationship between two variables based on the trend shown by the data.

The scatter plot and line of best fit below show the length of 11 people's femur (the long leg bone in the thigh) and their height in centimeters. What is the meaning of the x-value on the line when y = 160?

Learn how to interpret the x-value on a scatter plot showing the relationship between femur length and height in centimeters. This problem covers key concepts like the line of best fit and predicting values from a graph. Suitable for students in Grades 9-11.

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