Statistical - GROWTH Function



Description

The GROWTH function calculates predicted exponential growth by using existing data. GROWTH returns the 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 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])

Arguments

Argument Description Required/ Optional
Known_y's

The 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.

Required
Known_x's

An 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 (that is, a range with a height of one row or a width of one column).

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.

Optional
New_x's

Are 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.

Optional
Const

A 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 adjusted so that y = m^x.

Optional

Notes

  • Formulas that return arrays must be entered as array formulas after selecting the correct number of cells.

  • When entering an array constant for an argument such as known_x's, use commas to separate values in the same row and semicolons to separate rows.

  • If any of the numbers in known_y's is 0 or negative, GROWTH returns the #NUM! error value.

  • If the known_x's array has a different length to the known_y's array, GROWTH returns the #REF! error value.

  • If any of the values in the supplied known_y's, known_x's or new_x's arrays are non-numeric, GROWTH returns the #VALUE! error value.

Applicability

Excel 2007, Excel 2010, Excel 2013, Excel 2016

Example

Growth Function Usage

When new x’s Omitted −

Growth Function
advanced_excel_statistical_functions.htm
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