GROWTH function
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GROWTH
Fits an exponential curve to a data set, and returns points on that curve.
Syntax:
GROWTH(yvalues; xvalues; new_xvalues; allow_factor)
- data is a range or array containing numerical data.
- yvalues and xvalues are single row or column ranges specifying points in a set of data.
- GROWTH fits an exponential curve of the form y=bmx through these data points, using the linear regression method.
- If allow_factor is FALSE the factor b in this equation is set to 1; if allow_factor is non-zero, TRUE or omitted the factor b is calculated from the data.
- GROWTH returns an array of the y values of the exponential curve found, corresponding to the x values in new_xvalues (or if omitted xvalues). It must be entered as an array formula (for example by using {{#switch:cntrl
| shift = ⇧ Shift | up = ↑ | down = ↓ | > = → | < = ← | enter = ↵ Enter | cmd = ⌘ Cmd | command = ⌘ Cmd | opt = ⌥ Opt | option = ⌥ Opt | tab = Tab ⇆ | backspace = ← Backspace | << = ← Backspace | bs = ← Backspace | * = * | # = # | ; = ; | : = : | #default = Cntrl }} {{#if:Shift| + {{#switch:shift | shift = ⇧ Shift | up = ↑ | down = ↓ | > = → | < = ← | enter = ↵ Enter | cmd = ⌘ Cmd | command = ⌘ Cmd | opt = ⌥ Opt | option = ⌥ Opt | tab = Tab ⇆ | backspace = ← Backspace | << = ← Backspace | bs = ← Backspace | * = * | # = # | ; = ; | : = : | #default = Shift }} }}{{#if:Enter| + {{#switch:enter | shift = ⇧ Shift | up = ↑ | down = ↓ | > = → | < = ← | enter = ↵ Enter | cmd = ⌘ Cmd | command = ⌘ Cmd | opt = ⌥ Opt | option = ⌥ Opt | tab = Tab ⇆ | backspace = ← Backspace | << = ← Backspace | bs = ← Backspace | * = * | # = # | ; = ; | : = : | #default = Enter }} }}{{#if:| + {{#switch:{{{4}}} | shift = ⇧ Shift | up = ↑ | down = ↓ | > = → | < = ← | enter = ↵ Enter | cmd = ⌘ Cmd | command = ⌘ Cmd | opt = ⌥ Opt | option = ⌥ Opt | tab = Tab ⇆ | backspace = ← Backspace | << = ← Backspace | bs = ← Backspace | * = * | # = # | ; = ; | : = : | #default = {{{4}}} }} }}{{#if:| + {{#switch:{{{5}}} | shift = ⇧ Shift | up = ↑ | down = ↓ | > = → | < = ← | enter = ↵ Enter | cmd = ⌘ Cmd | command = ⌘ Cmd | opt = ⌥ Opt | option = ⌥ Opt | tab = Tab ⇆ | backspace = ← Backspace | << = ← Backspace | bs = ← Backspace | * = * | # = # | ; = ; | : = : | #default = {{{5}}} }} }}{{#if:| + {{#switch:{{{6}}} | shift = ⇧ Shift | up = ↑ | down = ↓ | > = → | < = ← | enter = ↵ Enter | cmd = ⌘ Cmd | command = ⌘ Cmd | opt = ⌥ Opt | option = ⌥ Opt | tab = Tab ⇆ | backspace = ← Backspace | << = ← Backspace | bs = ← Backspace | * = * | # = # | ; = ; | : = : | #default = {{{6}}} }} }} rather than just {{#switch:enter | shift = ⇧ Shift | up = ↑ | down = ↓ | > = → | < = ← | enter = ↵ Enter | cmd = ⌘ Cmd | command = ⌘ Cmd | opt = ⌥ Opt | option = ⌥ Opt | tab = Tab ⇆ | backspace = ← Backspace | << = ← Backspace | bs = ← Backspace | * = * | # = # | ; = ; | : = : | #default = Enter }} {{#if:| + {{#switch:{{{2}}} | shift = ⇧ Shift | up = ↑ | down = ↓ | > = → | < = ← | enter = ↵ Enter | cmd = ⌘ Cmd | command = ⌘ Cmd | opt = ⌥ Opt | option = ⌥ Opt | tab = Tab ⇆ | backspace = ← Backspace | << = ← Backspace | bs = ← Backspace | * = * | # = # | ; = ; | : = : | #default = {{{2}}} }} }}{{#if:| + {{#switch:{{{3}}} | shift = ⇧ Shift | up = ↑ | down = ↓ | > = → | < = ← | enter = ↵ Enter | cmd = ⌘ Cmd | command = ⌘ Cmd | opt = ⌥ Opt | option = ⌥ Opt | tab = Tab ⇆ | backspace = ← Backspace | << = ← Backspace | bs = ← Backspace | * = * | # = # | ; = ; | : = : | #default = {{{3}}} }} }}{{#if:| + {{#switch:{{{4}}} | shift = ⇧ Shift | up = ↑ | down = ↓ | > = → | < = ← | enter = ↵ Enter | cmd = ⌘ Cmd | command = ⌘ Cmd | opt = ⌥ Opt | option = ⌥ Opt | tab = Tab ⇆ | backspace = ← Backspace | << = ← Backspace | bs = ← Backspace | * = * | # = # | ; = ; | : = : | #default = {{{4}}} }} }}{{#if:| + {{#switch:{{{5}}} | shift = ⇧ Shift | up = ↑ | down = ↓ | > = → | < = ← | enter = ↵ Enter | cmd = ⌘ Cmd | command = ⌘ Cmd | opt = ⌥ Opt | option = ⌥ Opt | tab = Tab ⇆ | backspace = ← Backspace | << = ← Backspace | bs = ← Backspace | * = * | # = # | ; = ; | : = : | #default = {{{5}}} }} }}{{#if:| + {{#switch:{{{6}}} | shift = ⇧ Shift | up = ↑ | down = ↓ | > = → | < = ← | enter = ↵ Enter | cmd = ⌘ Cmd | command = ⌘ Cmd | opt = ⌥ Opt | option = ⌥ Opt | tab = Tab ⇆ | backspace = ← Backspace | << = ← Backspace | bs = ← Backspace | * = * | # = # | ; = ; | : = : | #default = {{{6}}} }} }}).
- yvalues and xvalues must be the same size. new_xvalues may have a different size.
Example:
=GROWTH(B2:B6; A2:A6; A2:A7)
- when entered as an array formula in cell C2, where the x values in A2:A7 are 4, 5, 6, 7, 8, 9 and the y values in B2:B6 are 1.80, 3.20, 6.20, 12.30, 24.50, finds a best fit exponential curve for those points, and in C2:C7 returns y values on that curve for the x values in A2:A7.
- This example shows how GROWTH may be used to predict future values (A7,C7).
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