STATISTICS FROM A TO Z<br />-- CONFUSING CONCEPTS CLARIFIED
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Statistics Tip of the Week: Establishing Correlation is a Prerequisite for Linear Regression

2/1/2017

2 Comments

 
​Establishing Correlation is a prerequisite for Linear Regression.
 
We can't use Linear Regression unless there is a Linear Correlation. The following compare-and-contrast table may help in understanding both concepts.
Picture
Correlation analysis describes the present or past situation. It uses Sample data to infer a property of the source Population or Process. There is no looking into the future. The purpose of Linear Regression, on the other hand, is to define a Model (a linear equation) which can be used to predict the results of Designed Experiments.

Correlation mainly uses the Correlation Coefficient, r.
Regression also uses r, but employs a variety of other Statistics.

Correlation analysis and Linear Regression both attempt to determine whether 2 Variables vary in synch.
Linear Correlation is limited to 2 Variables, which can be plotted on a 2-dimensional x-y graph. Linear Regression can go to 3 or more Variables/ dimensions.

In Correlation, we ask to what degree the plotted data forms a shape that seems to follow an imaginary line that would go through it. But we don't try to specify that line.
In Linear Regression, that line is the whole point. We calculate a best-fit line through the data: y = a + bx.

Correlation Analysis does not attempt to identify a Cause-Effect relationship
, Regression does.
2 Comments
Zvondiwa Mberengwa
8/13/2019 04:06:03 am

Thanks for clarifying the concepts. Please assist me with Correlation matrix.

Reply
Andrew Jawlik
8/13/2019 07:57:16 am

Not sure what you mean by Correlation Matrix. My book has 2 chapters on Correlation, and these are explained in 2 videos on my You Tube channel (the channel has the same name as the title of the book)

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    Andrew A. (Andy) Jawlik is the author of the book, Statistics from A to Z -- Confusing Concepts Clarified, published by Wiley.

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  • Home
    • Why This Book Is Needed
    • Articles List, Additional Concepts
    • Examples: 1-Page Summaries
    • Examples: Concept Flow Diagram
    • Examples: Compare and Contrast Tables
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    • Example: Which to Use When Article
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  • Sample Articles
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