Question

the scatter plot and line of best fit below show the length of 6 peoples femur (the long leg bone in the thigh) and their height in centimeters. what does the slope of the line represent? answer the expected height when the femur has a length of 1 centimeter. the change in expected height for every one additional centimeter of femur length. the expected femur length when the height is 1 centimeter. the change in expected femur length for every one additional centimeter of height.

Explanation:

In a linear regression model \(y = mx + b\) (where \(y\) is height and \(x\) is femur length), the slope \(m=\frac{\Delta y}{\Delta x}\). Here, \(y\) (height) is the dependent variable and \(x\) (femur length) is the independent variable. The slope represents the rate of change of the dependent variable with respect to the independent variable. So, it shows how much the expected value of \(y\) (height) changes for a one - unit change in \(x\) (femur length).

Answer:

The change in expected height for every one additional centimeter of femur length.