Archaeologists and forensic scientists use the length of of human bones to estimate the height of his/her femur f(the bone from the knee to the hip socket), in centimeters using the following formulas:

Question

Male h=69.089+2.238f Female: h = 61.412+2.317f

a. a partial skeleton of a male is found. the femur measures 50 centimeters. How tall was the man?

b. What is the length of the femur for a female who is 150 centimeters tall?

Answer 1

a. 69.089 + 2.238(50)
b. 150 = 61.412+2.317f
150-61.412 = 2.317 f
(150-61.412)/2.317 = f

Answer 2

A) 180.989