Math Problem Statement
Solution
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:
- Find the point on the line of best fit where cm (the height).
- Identify the corresponding femur length (the x-value) for this height.
Looking at the graph:
- When , the corresponding -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:
- How is the line of best fit determined in scatter plots?
- How would you calculate the slope of the line of best fit from the graph?
- What does the slope of the line of best fit represent in this context?
- How would you predict someone's height if their femur length was given?
- 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.
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Math Problem Analysis
Mathematical Concepts
Scatter Plot
Line of Best Fit
Linear Relationships
Formulas
Linear equation: y = mx + b
Theorems
Line of Best Fit
Suitable Grade Level
Grades 9-11
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