Manuals/calci/PEARSON

PEARSON (ar1,ar2)

• $ar_{1}$ is the array of independent values
• $ar_{2}$ 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 
-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 $PEARSON(ar_{1},ar_{2})$, the value of $ar_{1}$ and $ar_{2}$ 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 $ar_{1}$ and $ar_{2}$.

Examples

Spreadsheet

	A	B	C
1	5	9	10
2	8	12	15

=PEARSON(A1:C1,A2:C2) = 0.968619605

2.

Spreadsheet

	A	B	C	D
1	17	0	19	25
2	10	11	7	13

=PEARSON(A1:D1,A2:D2) = -0.759206026

3.

Spreadsheet

	A	B	C
1	1	2	3
2	4	5

=PEARSON(A1:C1,A2:B2) = NAN

See Also

• INTERCEPT
• SLOPE

References

Pearson