# Difference between revisions of "Manuals/calci/MCORREL"

MCORREL (ArrayOfArrays)

• is set of values.

## Description

• This function is showing the result for multiple correlation.
• In , are set of values.
• Correlation is a statistical technique which shows the relation of strongly paired variables.When one variable is related to a number of other variables, the correlation is not simple.
• It is multiple if there is one variable on one side and a set of variables on the other side.
• If we have a series of measurements of and written as and where then the Sample Correlation Coefficient is: • and are the sample means of and .
• The above formula is used for simple correlation.
• Now consider the variables x,y and z we define the multiple correlation as:

$\displaystyle R_{zxy}=\sqrt{\frac{r_{xz}^2+r_{yz}^2-2 r_{xz} r_{yz} r_{xy}}{1-r_{xy}^2}$

• is the correlation of x and y.
• is the correlation of y and z.
• is the correlation of z and x.
• Here x and y are viewed as the independent variables and z is the dependent variable.
• This function will give the result as error when

1. are non-numeric or different number of data points. 2. is empty 3.The denominator value is zero. $\displaystyle {\frac{r_{xz}^2+r_{yz}^2-2 r_{xz} r_{yz} r_{xy}}{1-r_{xy}^2}$