Difference between revisions of "Manuals/calci/COVAR"

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(Created page with "<div id="6SpaceContent" class="zcontent" align="left"> <font size="3"><font face="Times New Roman">COVAR (a1, a2)</font></font> <font size="3"><font face="Times New Roma...")
 
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=COVAR(a1,a2)=
  
<font size="3"><font face="Times New Roman">COVAR (a1, a2)</font></font>
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where,
 +
*<math>a1</math> first array of integers or reference to the cells containing array
 +
*<math>a2</math> second array of integers or reference to the cells containing array
  
<font size="3"><font face="Times New Roman">Where a1 is the first cell range and a2 is the second cell range of integers.</font></font>
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COVAR calculates the covariance, the average of the products of deviations for each data point pair in two arrays.
  
</div>
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== Description ==
----
 
<div id="1SpaceContent" class="zcontent" align="left">
 
  
<font size="3"><font face="Times New Roman">Covariance calculates as, the average of the products of deviations for each data point pair. It is to determine the relationship between two data sets. </font></font>
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COVAR(a1,a2)
  
<font size="3" face="Times New Roman"> </font>
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*COVAR  is used to determine the relationship between two data sets.
 +
*Arguments <math>a1</math>, <math>a2</math> can be numbers or can be names, arrays or references containing numbers.
 +
*Values containing text, logical values or empty cells are ignored.
 +
*If either <math>a1</math> or <math>a2</math> is empty, Calci displays a NaN error message.
 +
*The number of data points in <math>a1</math> and <math>a2</math> should be same, else Calci displays a #N/A error message.
  
</div>
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== Examples ==
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<font size="3">·</font>        <font size="3"><font face="Times New Roman">Arguments can be numbers, names, arrays, or references. </font></font>
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<div id="2SpaceContent" class="zcontent" align="left">
  
<font size="3">·</font>        <font size="3"><font face="Times New Roman">Logical values and text representations of numbers are calculated but if an array or reference argument contains text, logical values, empty cells which are ignored</font></font>
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{| id="TABLE3" class="SpreadSheet blue"
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|- class="even"
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| class="sshl_f" |'''Array 1'''
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| class=" " |'''Array 2'''
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| class=" " |
  
<font size="3">·</font>        <font size="3"><font face="Times New Roman">If either array1 or array2 is empty, COVAR calculates error value. </font></font>
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|- class="odd"
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| class="sshl_f" |2
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| class=" " |21
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| class=" " |
  
<font size="3"><font face="Times New Roman">
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|- class="even"
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| class="sshl_f" |4
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| class=" " |22
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| class=" " |
  
<font size="3">·</font>        <font size="3"><font face="Times New Roman">The covariance is: </font></font>
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|- class="odd"
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| class="sshl_f" |6
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| class=" " |23
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| class=" " |
  
<center><font size="3" face="Times New Roman"></font></center>
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|- class="even"
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| class="sshl_f" |8
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| class=" " |24
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| class=" " |
  
<font size="3"><font face="Times New Roman">where x and y are the sample means AVERAGE(a1) and AVERAGE(a2), and n is the sample size.</font></font>
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|- class="odd"
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| class="sshl_f" |10
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| class=" " |25
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| class=" " |
  
</font></font></div>
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|}
----
 
<div id="12SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="left">COVAR</div></div>
 
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<div id="10SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Syntax </div><div class="ZEditBox"><center></center></div></div>
 
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<div id="4SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Remarks </div></div>
 
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<div id="3SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Examples </div></div>
 
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<div id="11SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Description </div></div>
 
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<div id="8SpaceContent" class="zcontent" align="left"><font size="3"><font face="Times New Roman">''' <font size="3"><font face="Times New Roman">AVEDEV (N1, N2...)</font></font> <font size="3"><font face="Times New Roman">Where N1, N 2 ...   are positive integers.</font></font> '''</font></font></div>
 
----
 
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Let’s see an example in (Column1 Row 1, Column2Row1)
 
 
 
COVAR (a1, a2)
 
 
 
B C
 
 
 
5 8
 
 
 
6 9
 
 
 
7 15
 
 
 
8 17
 
  
9 20
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=COVAR(A2:A6,B2:B6) : Returns ''4'' as the output.
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=COVAR(A2:A5,{12,13,14,15}) : Returns '2.5'' as the output.
  
<nowiki>=COVAR (B2:B6, C2:C6) is 6.4</nowiki>
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== See Also ==
  
</div>
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*[[Manuals/calci/COVARIANCE | COVARIANCE]]
----
 
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{| id="TABLE1" class="SpreadSheet blue"
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== References ==
|- class="even"
 
| class="    " |
 
| Column1
 
| class="      " | Column2
 
| class="  " | Column3
 
| class="  " | Column4
 
|- class="odd"
 
| class=" " | Row1
 
| class="sshl_f " | 5
 
| class="sshl_f " | 8
 
| class="sshl_f" | 6.4
 
| class="sshl_f" |
 
|- class="even"
 
| class="  " | Row2
 
| class="sshl_f" | 6
 
| class="sshl_f" | 9
 
| class="SelectTD" |
 
| class="sshl_f" |
 
|- class="odd"
 
| Row3
 
| class="sshl_f" | 7
 
| class="sshl_f" | 15
 
| class="sshl_f" |
 
| class="sshl_f" |
 
|- class="even"
 
| Row4
 
| class="sshl_f" | 8
 
| class="sshl_f" | 17
 
| class="sshl_f" |
 
| class="sshl_f" |
 
|- class="odd"
 
| class=" " | Row5
 
| class=" " | 9
 
| class="sshl_f " | 20
 
| class="sshl_f" |
 
| class="sshl_f" |
 
|- class="even"
 
| Row6
 
| class="sshl_f" |
 
| class="sshl_f" |
 
| class="sshl_f" |
 
| class="sshl_f" |
 
|}
 
  
<div align="left">[[Image:calci1.gif]]</div></div>
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*[http://en.wikipedia.org/wiki/Covariance Covariance]
----
 

Revision as of 10:57, 21 January 2014

COVAR(a1,a2)

where,

  • first array of integers or reference to the cells containing array
  • second array of integers or reference to the cells containing array

COVAR calculates the covariance, the average of the products of deviations for each data point pair in two arrays.

Description

COVAR(a1,a2)

  • COVAR is used to determine the relationship between two data sets.
  • Arguments , can be numbers or can be names, arrays or references containing numbers.
  • Values containing text, logical values or empty cells are ignored.
  • If either or is empty, Calci displays a NaN error message.
  • The number of data points in and should be same, else Calci displays a #N/A error message.

Examples

Array 1 Array 2
2 21
4 22
6 23
8 24
10 25
=COVAR(A2:A6,B2:B6) : Returns 4 as the output.
=COVAR(A2:A5,{12,13,14,15}) : Returns '2.5 as the output.

See Also

References