GROWTH

Syntax:

GROWTH ( known-ys [ , [ known-xs ] [ , [ new-xs ] [ , const-flag ] ] )

Description: Computes predicted exponential growth by using existing data. GROWTH can also fit an exponential curve to existing x-values and y-values.

Arguments:

Name

Type

Description

known-ys

array

Set of y-values already known in the relationship y=b*mx. If the array known-ys is a single column, then each column of known-xs is interpreted as a separate variable. If the array known-ys is a single row, then each row of known-xs is interpreted as a separate variable.

known-xs

array

Set of x-values that might already be know in the relationship y=b*mx. The array known-xs can include one or more sets of variables. If only one variable is used, known-ys and known-xs can be ranges of any shape, as long as they have equal dimensions. If more than one variable is used, known-ys must be a vector (that is, a known-ys with a height of one row or a width of one column). If known-xs is omitted, it is assumed to be the array {1,2,3,...} that is the same size as known-ys.

new-xs

array

A set of new x-values for which GROWTH is to return corresponding y-values. new-xs shall include a column (or row) for each independent variable, just as known-xs does. So, if known-ys is in a single column, known-xs and new-xs shall have the same number of columns. If known-ys is in a single row, known-xs and new-xs shall have the same number of rows. If new-xs are omitted, it is assumed to be the array {1,2,3,...} that is the same size as known-ys.

const-flag

logical

Specifies whether to force the constant b to equal 1. If TRUE or omitted, b is calculated normally. If FALSE, b is set equal to 1 and the m-values are adjusted so that y= mx.

Return Type and Value: array – The y-values for a series of new x-values.

However, if any of the numbers in known-ys are zero or negative, #NUM! is returned.

example:

A

B

C

1

Month

Units

Formula (corresponding units)

2

11

33,100

32618.20377

3

12

47,300

47729.42261

4

13

69,000

69841.30086

5

14

102,000

102197.0734

6

15

150,000

149542.4867

7

16

220,000

218821.8762

8

Month

Formula (Predicted Units)

9

17

320,196.72

10

18

468,536.05

When GROWTH(A2:B4,A6:B8) is array-entered into cells C2:C7, those cells take on the results shown.When GROWTH(A2:B4,A6:B8,A9:A10) is array-entered into cells B9:B10, those cells take on the results shown.]