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Simple Linear Regression

Professionals often want to know how two or more numeric variables are related. For example, is there a relationship between the grade on the second math exam a student takes and the grade on the final exam? If there is a relationship, what is the relationship and how strong is it? In another example, the amount you pay a repair person for labour is often determined by an initial amount plus an hourly fee.

In this chapter, we will be studying the simplest form of regression analysis, simple linear regression, with one independent variable [latex]x[/latex]. This involves data that fits a line in two dimensions. We will also study correlation, which measures the strength of the linear relationship.

 


12.1 Introduction to Linear Regression and Correlation” from Introduction to Statistics by Valerie Watts is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License, except where otherwise noted.

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Introduction to Statistics - Second Edition Copyright © 2025 by Valerie Watts is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License, except where otherwise noted.

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