Question

The scatter plot and line of best fit below show the length of 12 people's femur (thelong leg bone in the thigh) and their height in centimeters. Based on the line of bestfit, what would be the predicted femur length for someone with a height of 164 cm?Answer: ____ cm.

Answer 1

The femur length for someone with height 164cm can be predicted by the nature of the equation of the line.

using the equation of the line in slope format we can get this

`\begin{gathered} (164-150)/(y-39)=(150-143)/(39-36)=(7)/(3) \\ (14)/(y-39)=(7)/(3) \\ \text{cross multiply} \\ 52=7(y-39) \\ 52=7y-273 \\ 7y=\text{ 325} \\ y=46.4\text{ cm} \end{gathered}`

Therefore the graph predicts a femur length of 46.4 cm for a height of 164 cm