Da Vinci's Other Code
Assumption: Because most bones grow at the same rate, the length of a person's bones and the person's height are linearly related.
Based on this assumption, archeologists supposedly can predict the height of a person from the length of a bone found in a dig. For example, one set of measurements used are:
where H and R are the person's height and length of radius (arm bone between wrist and elbow) in centimeters.
- Male: H = 80.405 + 3.650R
- Female: H = 73.502 + 3.876R
Task: Set up an experiment to test the validity of the these equations? Include important variables such as age, sex, and culture.
As follow-up, you might want to explore these additional ideas:
- Others claim that there is a connection but use the femur (thighbone)...in your experiments, do you reach the same height for both approaches?
- And others claim that there is a connection between arm span, knee height, age, and height
- Some claim that there is a connection between bone length and life longevity
- A readable study that investigates the possible connection between mutliple bone lengths and height, showing a good use of regression techniques
- Investigate if similar formulas exist for pedicting the heights of animals as well?
- What does all of this have to do with Leonardo Da Vinci's famous drawing The Proportions of the Human Figure (1492)?