# Interpolation and Extrapolation in a linear regression model

The following data has been collected for two variables, X and Y.

X Y

5 30

10 41

15 53

20 62

25 67

A simple linear regression model has been constructed using the data in the table and is being used to predict values for the variably Y

Of 3, 7, 18 and 35, how do I determine which for variable X would lead to an interpolated or extrapolated value for variable Y?

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#### Solution Preview

Please see the attached Word document

Interpolated values for the variable Y occur when the value of the X variable is within the range of the X values used to create the prediction model. In this case ...

#### Solution Summary

This solution explains the meaning of interpolation and extrapolation when using a linear regression model for predicting Y (the response variable) at a given value of X (the explanatory variable).