Difference between revisions of "Manuals/calci/GROWTH"

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(Created page with "<div id="6SpaceContent" class="zcontent" align="left"> <font size="3"><font face="Times New Roman">'''GROWTH (N1, N2, n and C) in the relationship y = b*m^x'''</font></font...")
 
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<div id="6SpaceContent" class="zcontent" align="left">
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<div style="font-size:30px">'''GROWTH(y,x,x1,c)'''</div><br/>
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*<math> y</math>  is the set of y values.
 +
*<math>x</math>  is the set of x values.
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*<math>x1</math> is the new x value.
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*<math>c</math> is the constant value.
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 +
 
 +
==Description==
 +
*This function calculates an exponential trend of the <math> y</math> values for new <math> x</math> values by using given <math> x</math> and <math> x</math> values.
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*Growth rate is a financial term used to describe a method of projecting the rate of return on a given investment over a period of time.
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*In <math>GROWTH(y,x,x1,c), y </math> is the set of <math>y</math> values used to predict the exponential growth, <math> x</math> is the set of <math> x</math> values used to predict the exponential growth,
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*<math> x1</math> is the set of new x-values, for which the function calculates corresponding new y-values and <math>c</math> is the constant. It is either a TRUE or FALSE.
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* When <math> c</math> value is TRUE, then the constant value is calculated normally. When <math> c</math> value is FALSE, then the constant is set to 1. 
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*Here  <math> y</math> value is required. <math> x,x1</math> and <math>c</math> is optional.
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*If <math>x</math> value is omitted, then it is assumed to be the array{1,2,3..} which is the same size of <math>y</math>.
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*If  <math>x1</math> value is omitted, then it is assumed to be the same size of <math>x</math>.
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*If both <math> x</math> and <math> x1</math> are omitted, then they are assumed to be the array {1,2,3..} which is the same size of <math> y</math>.
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*Also <math> x</math> and <math> y</math> values is the set of values with the relationship <math>y=b*mx</math>.
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*When entering an array constant for an argument such as <math>x</math>, use commas to separate values in the same row and semicolons to separate rows. 
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*This function will return the result as error when any one of the value in <math>y</math> value is 0 or negative.
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==Examples==
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Year      population
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2001     
 +
2002     
 +
2003      1100000110000011000001100000110000011000001100000110000011000001100000110000011000001100000110000011000001100000
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2004       
 +
2005       
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GROWTH(B15:B19,C15:C19)=2001.081161
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 +
{| class="wikitable"
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|+Spreadsheet
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|-
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! !! A !! B !! C
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|-
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! 1
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| 2001 || 2002 ||2003 ||2004 ||2005 
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|-
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! 2
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| 1000000  || 1100000 || 1252000  ||1375000 ||1500000
 +
 
 +
|}
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 +
 
 +
where, x , x1  and c
  
 
<font size="3"><font face="Times New Roman">'''GROWTH (N1, N2, n and C) in the relationship y = b*m^x'''</font></font>
 
<font size="3"><font face="Times New Roman">'''GROWTH (N1, N2, n and C) in the relationship y = b*m^x'''</font></font>
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29
 
29
  
<nowiki>=GROWTH(C2:C7,B2:B7,B8:B9) is 322408.3667 and 458726.12691</nowiki>
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UNIQ105c02ae06096ee1-nowiki-00000002-QINU
  
 
</div>
 
</div>

Revision as of 02:41, 15 January 2014

GROWTH(y,x,x1,c)


  • 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} is the set of y values.
  • 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 x} is the set of x values.
  • 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 x1} is the new x value.
  • is the constant value.


Description

  • This function calculates an exponential trend of the 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} values for new 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 x} values by using given 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 x} 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 x} values.
  • Growth rate is a financial term used to describe a method of projecting the rate of return on a given investment over a period of time.
  • In 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 GROWTH(y,x,x1,c), y } is the set of 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} values used to predict the exponential growth, 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 x} is the set of 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 x} values used to predict the exponential growth,
  • 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 x1} is the set of new x-values, for which the function calculates corresponding new y-values 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 c} is the constant. It is either a TRUE or FALSE.
  • When 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 c} value is TRUE, then the constant value is calculated normally. When 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 c} value is FALSE, then the constant is set to 1.
  • Here 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} value is required. 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 x,x1} 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 c} is optional.
  • If 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 x} value is omitted, then it is assumed to be the array{1,2,3..} which is the same size of 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} .
  • If 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 x1} value is omitted, then it is assumed to be the same size of 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 x} .
  • If both 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 x} 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 x1} are omitted, then they are assumed to be the array {1,2,3..} which is the same size of 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} .
  • Also 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 x} 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} values is the set of values with the relationship 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=b*mx} .
  • When entering an array constant for an argument such as 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 x} , use commas to separate values in the same row and semicolons to separate rows.
  • This function will return the result as error when any one of the value in 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} value is 0 or negative.


Examples

Year population 2001 2002 2003 1100000110000011000001100000110000011000001100000110000011000001100000110000011000001100000110000011000001100000 2004 2005 GROWTH(B15:B19,C15:C19)=2001.081161

Spreadsheet
A B C
1 2001 2002 2003 2004 2005
2 1000000 1100000 1252000 1375000 1500000


where, x , x1  and c 

GROWTH (N1, N2, n and C) in the relationship y = b*m^x

Where N1 is the set of y values, N2 is the set of x values, n is the new x values to the particular y values and C is the constant whether to force the constant b to equal 1

b is calculated normally when C is TRUE and is equal to 1 when C is FALSE.


 

Growth calculates an exponential trend of the y-values for new x-values by using the given x-values and y-values.


  •  After selecting the correct number of cells, the formulas which calculate the arrays should be entered as array formulas. Use commas to separate the values in the same row and semicolons to separate rows.

GROWTH


Lets see an example,

B                  C

22               45000

23               52000

24               67000

25             115000

26             165000

27             225000

28

29

?UNIQ105c02ae06096ee1-nowiki-00000002-QINU?


Syntax

Remarks

Examples

Description

Column1 Column2 Column3 Column4
Row1 22 45000 322408.3667147927,458726.1269057352
Row2 23 52000
Row3 24 67000
Row4 25 115000
Row5 26 165000
Row6 27 225000
Row7 28
Row8 29