if the regression coefficient of y on x is 0.3 & x on y is 0.7 ,then correlation is
Answers
Given : regression coefficient of y on x is 0.3 & x on y is 0.7
To Find : co-efficient of correlation
Solution:
regression coefficient of y on x is = 0.3
regression coefficient of x on y is = 0.7
(co-efficient of correlation)² = (regression coefficient of y on x ) * (regression coefficient of x on y )
=> (co-efficient of correlation)² = (0.3)(0.7)
=> (co-efficient of correlation)² = 0.21
=> co-efficient of correlation = √0.21
=> co-efficient of correlation = 0.458
co-efficient of correlation = √0.21 = 0.458
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