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 \( h = 58.4 + 2.47f \), where \( h \) represents the expected height in centimeters and \( f \) represents the length of the femur in centimeters.

What is the meaning of the \( f \)-value when \( h = 150 \)?

A. The change in expected height for every one additional centimeter of femur length.
B. The femur length for someone with an expected height of 37.1 centimeters.
C. The femur length for someone with an expected height of 150 centimeters.
D. The expected height for someone with a femur length of 150 centimeters.

The f-value represents the length of the femur for someone with an expected height of 150 centimeters when using the given linear regression equation h = 58.4 + 2.475f.

This correct answer is c.

The f-value in the given formula h = 58.4 + 2.475ƒ represents the femur length in centimeters.

When h = 150, we can substitute this value into the formula to find the corresponding femur length.

h = 58.4 + 2.475ƒ

150 = 58.4 + 2.475ƒ

2.475ƒ = 150 - 58.4

2.475ƒ = 91.6

ƒ = 91.6 / 2.475

ƒ ≈ 37 centimeters

So, the f-value when h = 150 is the femur length for someone with an expected height of 150 centimeters.

Therefore, the correct option is:

c. The femur length for someone with an expected height of 150 centimeters.