Purchase Solution

Interpolation and Extrapolation in a linear regression model

Not what you're looking for?

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?

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).

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 ...

Terms and Definitions for Statistics

This quiz covers basic terms and definitions of statistics.

Measures of Central Tendency

Tests knowledge of the three main measures of central tendency, including some simple calculation questions.

Know Your Statistical Concepts

Each question is a choice-summary multiple choice question that presents you with a statistical concept and then 4 numbered statements. You must decide which (if any) of the numbered statements is/are true as they relate to the statistical concept.

Measures of Central Tendency

This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.