Question

theres a roughly linear relationship between the length of someones femur (the long leg - bone in your thigh) and their expected height, as expressed in the graph below. what does the slope of the line represent?

Explanation:

In a linear relationship \(y = mx + b\) (where \(y\) is expected height and \(x\) is femur length), the slope \(m=\frac{\Delta y}{\Delta x}\). The units of \(y\) are centimeters (height) and units of \(x\) are centimeters (femur length). The slope represents the change in expected height per unit change in femur length.

Answer:

The slope represents the change in expected height (in centimeters) per one - centimeter change in femur length.