The relationship between the length of an adult's femur (thigh bone) and the height of the adult can be approximated by the linear equations  y = 0.432x - 10.44 (female) y = 0.449x - 12.15 (male) where y is the length of the femur in inches and x is the height of the adult in inches (see figure).   From the foot bones of an adult human male an anthropologist estimates that the person's height was 69 inches.  A few feet away from the site where the foot bones were discovered, the anthropologist discovers a male adult femur that is 19 inches long.  Is it likely that both foot bones and thigh bone came from the same person?  Explain your reasoning.

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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The relationship between the length of an adult's femur (thigh bone) and the height of the adult can be approximated by the linear equations 

y = 0.432x - 10.44 (female)

y = 0.449x - 12.15 (male)

where y is the length of the femur in inches and x is the height of the adult in inches (see figure).

 

From the foot bones of an adult human male an anthropologist estimates that the person's height was 69 inches.  A few feet away from the site where the foot bones were discovered, the anthropologist discovers a male adult femur that is 19 inches long.  Is it likely that both foot bones and thigh bone came from the same person?  Explain your reasoning.

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