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Example The two regression equations of the variables x an y are

x = 19.13 - 0.87 y and y = 11.64 - 0.50 x

Find  (1) Mean of x’s

(2) Mean of y’s

(3) Correlation coefficient between x and y

Solution:

1. Calculation of Mean

\ Mean of x’s = 15.94 and Mean of y’s = 3.67

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2. Calculation of ‘ r ’

x = 19.93 - 0.87 y

Therefore,

and y = 11.64 - 0.50 x

Therefore,

From (3) and (4)

r = ± 0.66

But regression coefficient are negative

r = - 0.66

Index

6. 1 Introduction
6. 2 Correlation
6. 3 Types of Correlation
6. 4 Degrees of Correlation
6. 5 Methods of determining correlation
6. 6 Coefficients of Correlation for Bivariate Grouped Data
6. 7 Probable Error
6. 8 Rank Correlation Coefficient
6. 9 Linear Regression

Chapter 7