12.5 Prediction
After finding the equation of a line, we can use the equation to predict, or estimate, the value of the response variable, y, for a given value of the explanatory variable, x.
We can make predictions for y given x is within the domain of x-values in the sample data, but not necessarily for x-values outside that domain. The process of predicting inside of the observed values within the data is called interpolation. The process of predicting within the domain of the observed data is called interpolation. Making predictions for x-values outside of the domain of the independent variable is called extrapolation, which can be dangerous because we can’t be sure the linear pattern will continue outside of the given domain.
Use Regression Equation to Make Predictions
PRACTICE
