Wednesday 25 April 2012

Correlation coefficient

Hello students, in this section we are going to discuss the Coefficient Correlation. Correlation coefficient is statistical concept; it is used for setting up the relation between the expected value and real value that came from the statistical experiment. As per ICSE board books when we calculate the correlation coefficient then we find the value and that value describes the correctness between the expected and real value.
The most important point is that the value stays between the -1 to +1. So due to this, two condition arises, one is that, if the correlation coefficient's value is positive then it represents exactly corresponding and duplicate relation between two values. If the correlation coefficient's value is negative then it represents the inequality between the two values.
To define correlation coefficient (visit for more), first you should be able to know the meaning of correlation, it is way in which two or more things are related to each other whereas the coefficient is the multiplicative factor and generally it is a number.
Let’s take a look on the correlation coefficient formula or equation: -
When we have ‘x’ and ‘y’ two variables, then correlation coefficient ‘r’ will be: -
r = n (∑x y) - (∑x ) (∑y ) / √( [ n∑x2 ] - (∑x )2 ] [ n∑y2 - (∑y ) 2 ] ),
Where n = number of elements.
∑x = first values list's sum.
∑y = second values list's sum.
∑x y = sum of product of first and second values.
∑x2 = sum of square of first values.
∑y2 = sum of square of second values.
By this formula we can solve the problems that are related to the correlation coefficients.

In upcoming posts we will discuss about Probability problems with finite sample spaces and blog for math tutor online. Visit our website for information on rational expressions calculator

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