Difference between revisions of "Manuals/calci/STEYX"

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<div style="font-size:30px">'''STEYX(y,x)'''</div><br/>
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<div style="font-size:30px">'''STEYX (KnownYs,KnownXs) '''</div><br/>
*<math>y</math> is set of dependent values.  
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*<math>KnownYs</math> is set of dependent values.  
*<math>x </math> is the set of independent  values.
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*<math>KnownXs </math> is the set of independent  values.
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**STEYX(),returns the standard error of the predicted y-value for each x in the regression.
  
 
==Description==
 
==Description==
 
*This function gives the standard error of the regression, which also is known as the standard error of the estimate.  
 
*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.  
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*It is calculates the  standard error for the straight line of best fit through a supplied set of <math> KnownXs</math> and <math> KnownYs</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>.  
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*The standard error for this line provides a measure of the error in the prediction of <math> KnownYs </math> for an individual <math> KnownXs </math>.  
 
*The equation for the standard error of the predicted <math> y </math> is:  
 
*The equation for the standard error of the predicted <math> y </math> is:  
 
<math>\sqrt{\frac{1}{(n-2)}\left [ \sum(y-\bar{y})^2-\frac{[\sum(x-\bar{x})(y-\bar{y})]^2}{\sum(x-\bar{x})^2} \right ]}</math>
 
<math>\sqrt{\frac{1}{(n-2)}\left [ \sum(y-\bar{y})^2-\frac{[\sum(x-\bar{x})(y-\bar{y})]^2}{\sum(x-\bar{x})^2} \right ]}</math>
 
where <math>\bar{x}</math> and <math>\bar{y}</math> are the sample mean <math> x </math> and <math> y </math>.
 
where <math>\bar{x}</math> and <math>\bar{y}</math> are the sample mean <math> x </math> and <math> y </math>.
*In <math> STEYX(y,x)</math>, <math>y </math> is the array of the numeric dependent values and <math> x </math> is the array of the independent values.   
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*In <math>STEYX (KnownYs,KnownXs)</math>, <math>KnownYs </math> is the array of the numeric dependent values and <math> KnownXs </math> is the array of the independent values.   
 
*The arguments can be be either numbers or names, array,constants or references that contain numbers.  
 
*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.
 
*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
 
*This function will return the result as error when
 
   1. Any one of the argument is non-numeric.  
 
   1. Any one of the argument is non-numeric.  
   2. <math>x</math> and <math>y </math> are empty or that have less than three data points.
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   2. KnownYs and KnownXs are empty or that have less than three data points.
   3. <math>x</math> and <math>y </math> have a different number of data points.
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   3. KnownYs and KnownXs  have a different number of data points.
  
 
==Examples==
 
==Examples==

Latest revision as of 13:58, 18 June 2018

STEYX (KnownYs,KnownXs)


  • is set of dependent values.
  • is the set of independent values.
    • STEYX(),returns the standard error of the predicted y-value for each x in the regression.

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:

where and 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 non-numeric. 
  2. KnownYs and KnownXs are empty or that have less than three data points.
  3. KnownYs and KnownXs  have a different number of data points.

Examples

1.

Spreadsheet
A B C D E F
1 6 8 10 13 15 5
2 1 4 8 11 20 3
=STEYX(A1:F1,A2:F2) = 1.4525201161135368

2.

Spreadsheet
A B C D E
1 2 9 1 8 17
2 10 4 11 2 6
=STEYX(A1:E1,A2:E2)) = 5.944184833375669

3.

Spreadsheet
A B C D E
1 1 2 4 5 8
2 10 4 7 5
=STEYX(A1:A5,B1:B4) = NAN

Related Videos

Standard Error Of Estimate

See Also

References