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| + | =COVAR(a1,a2)= |
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| − | <font size="3"><font face="Times New Roman">COVAR (a1, a2)</font></font> | + | 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>
| + | COVAR calculates the covariance, the average of the products of deviations for each data point pair in two arrays. |
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| − | </div>
| + | == Description == |
| − | ----
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| − | <div id="1SpaceContent" class="zcontent" align="left">
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| − | <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>
| + | COVAR(a1,a2) |
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| − | <font size="3" face="Times New Roman"> </font> | + | *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. |
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| − | </div>
| + | == Examples == |
| − | ----
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| − | <div id="7SpaceContent" class="zcontent" align="left">
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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> | + | <div id="2SpaceContent" class="zcontent" align="left"> |
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| − | <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>
| + | {| id="TABLE3" class="SpreadSheet blue" |
| | + | |- class="even" |
| | + | | class="sshl_f" |'''Array 1''' |
| | + | | class=" " |'''Array 2''' |
| | + | | class=" " | |
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| − | <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>
| + | |- class="odd" |
| | + | | class="sshl_f" |2 |
| | + | | class=" " |21 |
| | + | | class=" " | |
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| − | <font size="3"><font face="Times New Roman">
| + | |- class="even" |
| | + | | class="sshl_f" |4 |
| | + | | class=" " |22 |
| | + | | class=" " | |
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| − | <font size="3">·</font> <font size="3"><font face="Times New Roman">The covariance is: </font></font>
| + | |- class="odd" |
| | + | | class="sshl_f" |6 |
| | + | | class=" " |23 |
| | + | | class=" " | |
| | | | |
| − | <center><font size="3" face="Times New Roman"></font></center>
| + | |- class="even" |
| | + | | class="sshl_f" |8 |
| | + | | class=" " |24 |
| | + | | class=" " | |
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| − | <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>
| + | |- class="odd" |
| | + | | class="sshl_f" |10 |
| | + | | class=" " |25 |
| | + | | class=" " | |
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| − | </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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| − | ----
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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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| − | ----
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| − | <div id="4SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Remarks </div></div>
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| − | ----
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| − | <div id="3SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Examples </div></div>
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| − | ----
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| − | <div id="11SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Description </div></div>
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| − | ----
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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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| − | ----
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| − | <div id="5SpaceContent" class="zcontent" align="left">
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| − | | |
| − | Let’s see an example in (Column1 Row 1, Column2Row1)
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| − | COVAR (a1, a2)
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| − | | |
| − | B C
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| − | 5 8
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| − | 6 9
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| − | 7 15
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| − | 8 17
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| − | 9 20
| + | =COVAR(A2:A6,B2:B6) : Returns ''4'' as the output. |
| | + | =COVAR(A2:A5,{12,13,14,15}) : Returns '2.5'' as the output. |
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| − | <nowiki>=COVAR (B2:B6, C2:C6) is 6.4</nowiki>
| + | == See Also == |
| | | | |
| − | </div>
| + | *[[Manuals/calci/COVARIANCE | COVARIANCE]] |
| − | ----
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| − | <div id="9SpaceContent" class="zcontent" align="left">
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| | | | |
| − | {| id="TABLE1" class="SpreadSheet blue"
| + | == References == |
| − | |- class="even"
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| − | | class=" " |
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| − | | Column1
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| − | | class=" " | Column2
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| − | | class=" " | Column3
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| − | | class=" " | Column4
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| − | |- class="odd"
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| − | | class=" " | Row1
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| − | | class="sshl_f " | 5
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| − | | class="sshl_f " | 8
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| − | | class="sshl_f" | 6.4
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| − | | class="sshl_f" |
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| − | |- class="even"
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| − | | class=" " | Row2
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| − | | class="sshl_f" | 6
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| − | | class="sshl_f" | 9
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| − | | class="SelectTD" |
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| − | | class="sshl_f" |
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| − | |- class="odd"
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| − | | Row3
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| − | | class="sshl_f" | 7
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| − | | class="sshl_f" | 15
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| − | | class="sshl_f" |
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| − | | class="sshl_f" |
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| − | |- class="even"
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| − | | Row4
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| − | | class="sshl_f" | 8
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| − | | class="sshl_f" | 17
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| − | | class="sshl_f" |
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| − | | class="sshl_f" |
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| − | |- class="odd"
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| − | | class=" " | Row5
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| − | | class=" " | 9
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| − | | class="sshl_f " | 20
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| − | | class="sshl_f" |
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| − | | class="sshl_f" |
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| − | |- class="even"
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| − | | Row6
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| − | | class="sshl_f" |
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| − | | class="sshl_f" |
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| − | | class="sshl_f" |
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| − | | class="sshl_f" |
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| − | |}
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| − | <div align="left">[[Image:calci1.gif]]</div></div>
| + | *[http://en.wikipedia.org/wiki/Covariance Covariance] |
| − | ----
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