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Section 7.1 Introduction
In everyday communication, the word
correlation is thrown around a lot, but, what does it actually mean? In this lesson, we will explore how to use
correlations to better understand how our variables interact with each other.
Weβll be trying to answer the question:.
How do anxiety scores and studying time influence exam scores?
Weβll use a dataset called
exam_data, which includes studentsβ exam scores, anxiety levels just before the test, and total hours spent studying.
Subsection 7.1.1 Learning Objectives
By the end of this chapter, you will be able to:
Interpret the direction and strength of correlations.
Compute correlations in R using
cor() and
cor.test().
Explain and calculate RΒ² as variance explained.
Run and interpret partial and point-biserial correlations.
Visualize relationships using scatterplots and correlation matrices.