A forensic scientist is investigating three separate possible murders. In all three, only a single body part has been found. In the first case, it is a femur bone measuring 43.2 cm, in the second, it is an arm measuring 72.3 cm and in the third case, it is an index finger measuring 7.4 cm. As part of the identification process, the scientist wishes to establish the height of each person.

(a) Your task is to conduct an appropriate statistical analysis in order to establish, as accurately as possible, the height of each of the three people.

(b) Which of the three body parts gives the most accurate indication of height? Use your analysis to give an objective, empirical answer.

This is my progress so far:

I have measured each of the body parts on my own body, and calculated at their ratio to my height. These were my results:

(cm)

Femur: 48.4

Arm length: 81.2

Finger: 8.1

I divided my height by each of these measurements to get a ratio for each of them, which were:

height/femur = 3.874

height/arm = 2.333

height/finger = 23.148

Should I obtain more data from other samples to find a more exact ratio between height and the individual body parts? With this, I could then calculate and establish the heights of the victims to solve part (a) of the question. In terms of the empirical answer in relation to what is the most accurate indication of height (part b), would I conduct a correlation coefficient to do so? Sorry if my progress so far is of little help, any replies would be appreciated. Thanks