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GROWTH

 
Category: Statistical Function.
 
Description: Calculates predicted exponential growth by using existing data.
 
GROWTH returns y-values for a series of new x-values that you specify by using existing x-values and y-values.
 
You can also use the GROWTH worksheet function to fit an exponential curve to existing x-values and y-values.
 
Syntax: GROWTH(known_y's, [known_x's], [new_x's], [const])
 
The GROWTH function syntax has the following arguments:
 
Known_y's: set of y-values you already know in the relationship y = b*m^x.
  • If the array known_y's is in a single column, then each column of known_x's is interpreted as a separate variable.
  • If the array known_y's is in a single row, then each row of known_x's is interpreted as a separate variable.
  • If any of the numbers in known_y's is 0 or negative, GROWTH returns the #NUM! error value.
 
Known_x's: optional set of x-values that you may already know in the relationship y = b*m^x.
  • The array known_x's can include one or more sets of variables.
    If only one variable is used, known_y's and known_x's can be ranges of any shape, as long as they have equal dimensions.
    If more than one variable is used, known_y's must be a vector.
  • If known_x's is omitted, it is assumed to be the array {1,2,3,...} that is the same size as known_y's
 
New_x's: new x-values for which you want GROWTH to return corresponding y-values.
  • New_x's must include a column (or row) for each independent variable just as known_x's does.
    So if known_y's is in a single column, known_x's and new_x's must have the same number of columns. If known_y's is in a single row, known_x's and new_x's must have the same number of rows.
  • If new_x's is omitted, it is assumed to be the same as known_x's.
  • If both known_x's and new_x's are omitted, they are assumed to be the array {1,2,3,...} that is the same size as known_y's.
 
Const: logical value specifying whether to force the constant b to equal 1.
  • If const is TRUE or omitted, b is calculated normally.
  • If const is FALSE, b is set equal to 1, and the m-values are fitted to y = m^x.