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:

The slope of a line in a linear relationship \(y = mx + b\) (where \(y\) is the dependent variable, \(x\) is the independent variable, \(m\) is the slope, and \(b\) is the y - intercept) represents the rate of change of the dependent variable with respect to the independent variable. In this context, the dependent variable \(y\) is the expected height (in centimeters) and the independent variable \(x\) is the femur length (in centimeters). So, the slope represents the change in expected height for each one - centimeter increase in femur length.

Answer:

The slope represents the increase in expected height (in centimeters) for each one - centimeter increase in femur length.