Marco's mom has measured his height in centimeters every few months between the ages of 4.5 and 7.5. The recorded values are bes
t estimated by the regression line with the equation y with hat on top equals space 80.46 space plus space 6.25 x. Marco's mom wants to use this equation to predict if Marco will be taller than her when he is 14 years old. Doing this prediction is an example of what
Extrapolation is a type of estimation, beyond the original observation range. In this case, the observation range is from 4.5 to 7.5 years. Marco's mom is extrapolating the regression line to estimate Marco's height at 14 years old. This sort of estimation assumes that Marco's height will continue changing at the same rate until he is 14 years old.
