Difference between revisions of "Manuals/calci/SUMXMY2"

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(Created page with "<div id="6SpaceContent" class="zcontent" align="left"> '''SUMXMY2'''(ArrayX, ArrayY) where, '''ArrayX''' - represents the first array of values. '''ArrayY''' - r...")
 
 
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<div style="font-size:30px">'''SUMXMY2(x,y)'''</div><br/>
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*<math> x </math> and <math> y </math>  are the array of values.
  
'''SUMXMY2'''(ArrayX, ArrayY)
+
==Description==
 +
*This function gives the  sum of squares of differences of corresponding values in <math> x </math> and  <math> y </math>.
 +
*In <math> SUMXMY2(x,y)</math>, <math>x </math> is the first array of real values and <math> y </math>  is the second array of real values.
 +
*It is  mostly common term in statistical calculations.
 +
*This  function is defined by: <math> SUMXMY2= \sum (x-y)^2 </math>.
 +
*The arguments can be be either numbers or names, array,constants or references that contain numbers.
 +
*Suppose the array contains text,logical values or empty cells, like that values are not considered.
 +
*This function will give the result as error when
 +
    1. Any one of the argument is non-numeric or not a real number.
 +
    2. The arguments containing the error values or text that cannot be translated in to numbers.
 +
    3. <math>x</math> and <math>y</math> are having different number of values.
  
where,
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==Examples==
  
'''ArrayX''' - represents the first array of values.
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{| class="wikitable"
 
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|+Spreadsheet
'''ArrayY''' - represents the second array of values.
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|-
 
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! !! A !! B !! C !! D!! E
</div>
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|-
----
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! 1
<div id="1SpaceContent" class="zcontent" align="left">
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| 80.16 || 78.42 || 65.21 || 12 || 10
 
+
|-
It returns the sum of differences of corresponding values in two arrays.
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! 2
 
+
| 65.9 || 59.80 || 45.12 || 15 ||17
'''Formula''' :-
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|-
 
+
! 3
SUMXMY2 = Σ (x - y )<sup>2</sup>
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| 0  || 9  || 18  || 27 || 36
 
+
|-
</div>
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!4
----
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| 8 || 18 || 29 || 37 || 45
<div id="7SpaceContent" class="zcontent" align="left">
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|}
 
 
If ArrayX and ArrayY have different number of values, SUMXMY2 returns the #ERROR.
 
 
 
</div>
 
----
 
<div id="12SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="left">
 
 
 
SUMXMY2
 
 
 
</div></div>
 
----
 
<div id="8SpaceContent" class="zcontent" align="left">
 
 
 
Lets see an example in (Column3, Row1)
 
 
 
<nowiki>=SUMXMY2(R1C1:R7C1,R1C2: R7C2)</nowiki>
 
 
 
SUMXMY2 returns 259.
 
 
 
Consider an another example
 
  
<nowiki>=SUMXMY2(R1C1:R7C1,R1C2: R6C2)</nowiki>
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#=SUMXMY2(A1:C1, A2:C2) = 953.660099999
 +
#=SUMXMY2(A3:E3,A4:E4) = 447
 +
#=SUMXMY2([10,13,17,19,23],[7,9,19,31,37]) = 369
  
SUMXMY2 returns the #ERROR.
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==Related Videos==
  
</div>
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{{#ev:youtube|rwsX1KVhEnU|280|center|SUMPRODUCT}}
----
 
<div id="10SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Syntax </div><div class="ZEditBox"><center></center></div></div>
 
----
 
<div id="4SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Remarks </div></div>
 
----
 
<div id="3SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Examples </div></div>
 
----
 
<div id="11SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Description </div></div>
 
----
 
<div id="2SpaceContent" class="zcontent" align="left">
 
  
{| id="TABLE3" class="SpreadSheet blue"
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==See Also==
|- class="even"
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*[[Manuals/calci/SUMX2PY2 | SUMX2PY2]]
| class=" " |
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*[[Manuals/calci/SUMX2MY2 | SUMX2MY2 ]]
| class="      " | Column1
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*[[Manuals/calci/SUMPRODUCT  | SUMPRODUCT ]]
| class="  " | Column2
 
| class="  " | Column3
 
| Column4
 
|- class="odd"
 
| class=" " | Row1
 
| class=" " | 15
 
| class="                                    sshl_f " | 1
 
| class="sshl_f" | 259
 
|
 
|- class="even"
 
| class=" " | Row2
 
| class=" " | 8
 
| class=" " | 2
 
| class="      SelectTD ChangeBGColor SelectTD" |
 
<div id="2Space_Handle" class="zhandles" title="Click and Drag to resize CALCI Column/Row/Cell. It is EZ!"></div><div id="2Space_Copy" class="zhandles" title="Click and Drag over to AutoFill other cells."></div><div id="2Space_Drag" class="zhandles" title="Click and Drag to Move/Copy Area.">[[Image:copy-cube.gif]]  </div>
 
|
 
|- class="odd"
 
| Row3
 
| class=" " | 5
 
| class=" " | 3
 
|
 
|
 
|- class="even"
 
| Row4
 
| class=" " | 1
 
| class=" " | 4
 
|
 
|
 
|- class="odd"
 
| class=" " | Row5
 
| class=" " | 8
 
| class=" " | 5
 
|
 
|
 
|- class="even"
 
| class="sshl_f" | Row6
 
| class=" " | 7
 
| class=" " | 6
 
| class=" " |
 
| class=" " |
 
|- class="odd"
 
| class="sshl_f" | Row7
 
| class=" " | 5
 
| class=" " | 7
 
|
 
|
 
|}
 
  
<div align="left">[[Image:calci1.gif]]</div></div>
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==References==
----
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*[http://www.techonthenet.com/excel/formulas/sumxmy2.php  Sum of the Squares of the differences]

Latest revision as of 13:49, 27 January 2017

SUMXMY2(x,y)


  • and are the array of values.

Description

  • This function gives the sum of squares of differences of corresponding values in and .
  • In , is the first array of real values and is the second array of real values.
  • It is mostly common term in statistical calculations.
  • This function is defined by: .
  • The arguments can be be either numbers or names, array,constants or references that contain numbers.
  • Suppose the array contains text,logical values or empty cells, like that values are not considered.
  • This function will give the result as error when
    1. Any one of the argument is non-numeric or not a real number. 
    2. The arguments containing the error values or text that cannot be translated in to numbers.
    3.  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 y}
 are having different number of values.

Examples

Spreadsheet
A B C D E
1 80.16 78.42 65.21 12 10
2 65.9 59.80 45.12 15 17
3 0 9 18 27 36
4 8 18 29 37 45
  1. =SUMXMY2(A1:C1, A2:C2) = 953.660099999
  2. =SUMXMY2(A3:E3,A4:E4) = 447
  3. =SUMXMY2([10,13,17,19,23],[7,9,19,31,37]) = 369

Related Videos

SUMPRODUCT

See Also

References