This document discusses correlation and regression analysis. It defines partial correlation as assessing the relationship between two variables while controlling for the effect of a third variable. Multiple correlation is defined as measuring the strength of the relationship between a single dependent variable and two or more independent variables. Formulas are provided for partial correlation coefficients measuring the correlation between different pairs of variables while controlling for others. Multiple correlation coefficients are also defined as measuring the correlation between a dependent variable and the combination of multiple independent variables.

1. Under the guidance of
Sundar B. N.
Asst. Prof. & Course Co-ordinator
GFGCW, PG Studies in Commerce
Holenarasipura

5. Where,
𝒓𝟏𝟐.𝟑= Partial correlation between
𝒙𝟏 𝒂𝒏𝒅 𝒙𝟐
𝒓𝟏𝟐 , 𝒓𝟏𝟑 , 𝒓𝟐𝟑 = Simple or zero order
correlation co efficient

6. Where,
𝒓𝟐𝟑.𝟏= Partial correlation between
𝒙𝟐 𝒂𝒏𝒅 𝒙𝟑
𝒓𝟏𝟐 , 𝒓𝟏𝟑 , 𝒓𝟐𝟑 = Simple or zero order
correlation co efficient

7. Where,
𝒓𝟏𝟑.𝟐= Partial correlation between 𝒙𝟏 𝒂𝒏𝒅 𝒙𝟏
𝒓𝟏𝟐 , 𝒓𝟏𝟑 , 𝒓𝟐𝟑 = Simple or zero order
correlation co efficient

9. Where,
𝒓𝟏.𝟐𝟑= Multiple correlation coefficient
𝒓𝟏𝟐 , 𝒓𝟏𝟑 , 𝒓𝟐𝟑 = Simple or zero order
correlation co efficient
Formula for

10. Where,
𝒓𝟐.𝟏𝟑= Multiple correlation coefficient
𝒓𝟏𝟐 , 𝒓𝟏𝟑 , 𝒓𝟐𝟑 = Simple or zero order
correlation co efficient

11. Where,
𝒓𝟑.𝟏𝟐=Multiple correlation coefficient
𝒓𝟏𝟐 , 𝒓𝟏𝟑 , 𝒓𝟐𝟑 = Simple or zero order
correlation co efficient

20. 1) Intrduction to Correlation and regression ( Retrived from,
https://www.ncbi.nlm.nih.gov/pmc/articles/PCM374386/)
Date:19/04/2021
2) Partial Correlation meaning (Retrived from
https://www.statisticssolutions.com/partial-correlation/ ) Formula
(Retrived from, https://youtu.be/aOOOXpO5Mc ) Date:19/4/2021
3) Multiple Correlation meaning (Retrived from,
https://en.m.wikipedia.org/wiki/) Formula (Retrived from,
https://youtu.be/aOOOXpO5Mc .) Date:19/4/2021
4) Multiple Regression meaning (Retrived from,
https://www.statisticssolutions.com/regression-analysis-multiple-
regression/) Formula (Retrived from, https://youtube.be/REs-pxYgSoO .)
Date:19/4/2021