Difference between revisions of "Manuals/calci/STEYX"

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(Created page with "<div id="6SpaceContent" class="zcontent" align="left"> <font color="#484848"><font face="Arial, sans-serif"><font size="2">'''STEYX'''</font></font></font><font color="#48484...")
 
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<div id="6SpaceContent" class="zcontent" align="left"> <font color="#484848"><font face="Arial, sans-serif"><font size="2">'''STEYX'''</font></font></font><font color="#484848"><font face="Arial, sans-serif"><font size="2">(A</font></font></font><font color="#484848"><font face="Arial, sans-serif"><font size="2">'''Y'''</font></font></font><font color="#484848"><font face="Arial, sans-serif"><font size="2">, A</font></font></font><font color="#484848"><font face="Arial, sans-serif"><font size="2">'''X'''</font></font></font><font color="#484848"><font face="Arial, sans-serif"><font size="2">)</font></font></font><font color="#484848"><font face="Arial, sans-serif"><font size="2">'''Where AY is the Array or range of dependent data points and AX is the independent data points.'''</font></font></font></div>
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<div style="font-size:30px">'''STEYX(y,x)'''</div><br/>
----
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*<math>y</math> is set of dependent values.  
<div id="1SpaceContent" class="zcontent" align="left"> <font color="#484848"><font face="Arial, sans-serif"><font size="2">This function calculates the amount of error of the predicted y values for an individual x.</font></font></font></div>
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*<math>x </math> is the set of independent  values.
----
 
<div id="7SpaceContent" class="zcontent" align="left"> 
 
  
* <font color="#484848"><font face="Arial, sans-serif"><font size="2">The Arguments can be numbers or names, arrays, or references. </font></font></font>
 
  
* <font color="#484848"><font face="Arial, sans-serif"><font size="2">Empty cells, logical values, text, or error values are ignored. STEYX shows error value when AY and AX are empty or have less than three </font></font></font>
+
==Description==
* <font color="#484848"><font face="Arial, sans-serif"><font size="2">data points.</font></font></font>
+
*This function gives the standard error of the regression, which also is known as the standard error of the estimate.
 +
*It is calculates the  standard error for the straight line of best fit through a supplied set of <math> x </math> and <math> y </math> values.
 +
*The standard error for this line provides a measure of the error in the prediction of <math> y </math> for an individual <math> x </math>.
 +
*The equation for the standard error of the predicted <math> y </math> is: SQRT(1/(n-2)[summation (y-y(bar)^2-[summation (x-x(bar)(y-y(bar)]^2/summation(x-x(bar))^2]  ,where x(bar) and y(bar) are the sample mean <math> x </math> and <math> y </math>.
 +
*In <math> STEYX(y,x), y </math> is the array of the numeric dependent values and <math> x </math> is the array of the independent values. 
 +
*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 return the result as error when
 +
  1. Any one of the argument is nonnumeric.
 +
  2. x and y are empty or that have less than three data points.
 +
  3. x and y have a different number of data points.
  
<br /><br />
 
  
</div>
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==Examples==
----
+
1.y={6,8,10,13,15,5}
<div id="12SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="left">
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x={1,4,9,11,20,3}
 +
STEYX(G1:G6,H1:H6)=1.4350701130
 +
2.y={2,9,1,8,17}
 +
x={10,4,11,2,6}
 +
STEYX(A1:A5,B1:B5)=5.944184833375
 +
3.y={1,2,4,5,8}
 +
x={10,4,7,5}
 +
STEYX(A1:A5,B1:B4)=NAN
  
STEYX
+
==See Also==
 +
*[[Manuals/calci/INTERCEPT | INTERCEPT]]
 +
*[[Manuals/calci/LINEST  | LINEST ]]
 +
*[[Manuals/calci/PEARSON  | PEARSON ]]
  
</div></div>
 
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<div id="8SpaceContent" class="zcontent" align="left"><font color="#484848"><font face="Arial, sans-serif"><font size="2">'''B C'''</font></font></font>
 
  
<font color="#484848"><font face="Arial, sans-serif"><font size="2">'''25 15'''</font></font></font>
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==References==
 
 
<font color="#484848"><font face="Arial, sans-serif"><font size="2">'''10 16'''</font></font></font>
 
 
 
<font color="#484848"><font face="Arial, sans-serif"><font size="2">'''12 11'''</font></font></font>
 
 
 
<font color="#484848"><font face="Arial, sans-serif"><font size="2">'''18 20'''</font></font></font>
 
 
 
<font color="#484848"><font face="Arial, sans-serif"><font size="2">'''28 25'''</font></font></font>
 
 
 
<font color="#484848"><font face="Arial, sans-serif"><font size="2">'''<nowiki>=STEYX(B2:B6,C2:C6) is 6.9</nowiki>'''</font></font></font>
 
 
 
</div>
 
----
 
<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"
 
|- class="even"
 
| class="    " |
 
| Column1
 
| class="  " | Column2
 
| class="  " | Column3
 
| class="  " | Column4
 
|- class="odd"
 
| class=" " | Row1
 
| class="sshl_f " | 25
 
| class="sshl_f " | 15
 
| class="sshl_f" | 6.895143
 
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|- class="even"
 
| class="  " | Row2
 
| class="sshl_f" | 10
 
| class="sshl_f" | 16
 
| class="sshl_f 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="sshl_f" |
 
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| class=" " | 28
 
| class="sshl_f " | 25
 
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| class="sshl_f" |
 
| class="sshl_f" |
 
| class="sshl_f" |
 
| class="sshl_f" |
 
|}
 
 
 
<div align="left">[[Image:calci1.gif]]</div></div>
 
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Revision as of 04:22, 20 January 2014

STEYX(y,x)


  • is set of dependent values.
  • is the set of independent values.


Description

  • This function gives the standard error of the regression, which also is known as the standard error of the estimate.
  • It is calculates the standard error for the straight line of best fit through a supplied set of and values.
  • The standard error for this line provides a measure of the error in the prediction of for an individual .
  • The equation for the standard error of the predicted is: SQRT(1/(n-2)[summation (y-y(bar)^2-[summation (x-x(bar)(y-y(bar)]^2/summation(x-x(bar))^2] ,where x(bar) and y(bar) are the sample mean and .
  • In is the array of the numeric dependent values and is the array of the independent values.
  • 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 return the result as error when
  1. Any one of the argument is nonnumeric. 
  2. x and y are empty or that have less than three data points.
  3. x and y have a different number of data points.


Examples

1.y={6,8,10,13,15,5}

x={1,4,9,11,20,3}

STEYX(G1:G6,H1:H6)=1.4350701130 2.y={2,9,1,8,17} x={10,4,11,2,6} STEYX(A1:A5,B1:B5)=5.944184833375 3.y={1,2,4,5,8} x={10,4,7,5} STEYX(A1:A5,B1:B4)=NAN

See Also


References