Manuals/calci/PEARSON

PEARSON (ar1,ar2)

• $ar1$ is the array of independent values
• $ar2$ is the array of dependent values.

Description

• This function gives the Pearson product-moment correlation coefficient.
• It is denoted by PPMC, which shows the linear relationship between two variables.
• It is a measure of the strength of a linear association between two variables .
• The two variables $X$ and $Y$, giving a value between +1 and −1 inclusive.
• Here +1 indicates the perfect positive correlation, 0 indicates no correlation and -1 indicates the perfect negative correlation.
• The formula for PPMC,$r$ is defined by:

$r={\frac {\Sigma (x-{\bar {x}})(y-{\bar {y}})}{\sqrt {\Sigma (x-{\bar {x}})^{2}(y-{\bar {y}})^{2}}}}$

where ${\bar {x}}$ and ${\bar {y}}$ are Average of the two Samples $x$ and $y$.

• In $PEARSON(ar1,ar2)$, the value of $ar1$ and $ar2$ must be either numbers or names, array,constants or references that contain numbers.
• Suppose the array contains text,logicl values or empty cells, like that values are not considered.
• This function will return the result as error when the number of values are different for $ar1$ and $ar2$.

Examples

• 1.Array1 Array2

5 8 9 12 10 15 PEARSON(B1:B3,C1:C3)=0.968619605

• 2.Array1 Array2

17                    10

0 11 19 7 25 13 PEARSON(D1:D4,E1:E4)=-0.759206026

• 3.Array1 Array2

1 4 2 5 3 PEARSON(A1:A3,B1:B2)=NAN

See Also

• INTERCEPT
• SLOPE

References

Pearson