Manuals/calci/PEARSON

PEARSON (ar1,ar2)

• $ar1$ is the array of independent values and Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle ar2} is the array of dependent values.

Description

• This function gives the Pearson productmoment correlaton 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:

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle r= \frac{ \Sigma(x-\bar{x})(y-\bar{y})}{\sqrt \Sigma(x-\bar{x})^2(y-\bar{y})^2}}

where Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \bar{x} and \bar{y})} are Average of the two Samples x and y.

• In Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle PEARSON(ar1,ar2)} , the value of Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle ar1} and Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 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

1. Array1 Array2

17                    10

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

1. Array1 Array2

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

See Also

• INTERCEPT
• SLOPE

References

Array1, -  represents a set of independent values.

Array2 - represents a of dependent values.

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Returns the Pearson product momment correlation coefficient(P).

Formula :-

P =

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If Length of Array1 =! Length of Array2 , PEARSON returns the #ERROR.

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PEARSON

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Lets see an example in (Column3, Row1)

?UNIQa9cacf80da78a549-nowiki-00000002-QINU?

PEARSON returns -0.015.811.

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Syntax

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Remarks

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Examples

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Description

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	Column1	Column2	Column3	Column4
Row1	5	1	-0.015811
Row2	8	2	File:Copy-cube.gif
Row3	9	5
Row4	7	8
Row5	1	4
Row6	2	6

File:Calci1.gif

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