There's a roughly linear relationship between the length of someone's femur (the long leg- bone in your thigh) and their expected height. Within a certain population, this relationship can be expressed using the formula \( h=2.41 f+54.8 \), where \( h \) represents the expected height in centimeters and \( f \) represents the length of the femur in centimeters. What could the number 2.41 represent in the equation?

The equation \( h = 2.41 f + 54.8 \) represents a linear relationship between femur length (\( f \)) and expected height (\( h \)). In this context: - **2.41** is the **slope** of the line. - It indicates that for **every additional centimeter** in femur length, the **expected height increases by 2.41 centimeters**. **Interpretation:** - If someone's femur is 1 cm longer than another's, they are expected to be 2.41 cm taller, assuming all other factors remain constant. - This coefficient quantitatively captures the strength and direction of the relationship between femur length and height within the studied population. **Conclusion:** The number **2.41** represents the **rate of change** in height per centimeter increase in femur length, effectively describing how femur length contributes to predicting an individual's height. **Answer:** It is the slope of the line, showing that each extra centimeter of femur length adds 2.41 cm to the expected height.