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The
GROWTH() function returns
predicted y values based on exponential
trend line calculated form known values
of x and y.
- The syntax for the function
is GROWTH(known_y's, known_x's,
new_x's, const).
The
arguments "known_y's",
"known_x's" and
"new_x's" can
be an array of numerical values, references
to a range of cells or a named range. The
"const" is a
logical value that determines the existence
of b (TRUE or omitted calculates b as part
of the result, FALSE sets the value of
b to 1).
The GROWTH function uses the known values
of x and y to create exponential trend
line it then uses the equation of the trend
line and the "new_x's" values
to calculate the unknown y values returning
them as an array. The form of the exponential
trend line is y=bm^x where b and m are
calculated by the function.
For example: GROWTH({2,4,8,16},{1,2,3,4},
6, FALSE) = 64. or GROWTH({2,4,6,8,16},{6,7,8},FALSE)=
{64, 128, 256}. As the function that
describes the exponential trend is y=2^x.
[chart]
For the function to return multiple values
it must be entered
as an array
formula e.g.
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How
to use the GROWTH() function:
- Type " =GROWTH( "
- Type a comma.
- Enter
the reference for the "known_x" values "B2:B10 ".
- Type a comma.
- Enter
the references for the "new_x's" values "C2:C10".
- Type a comma.
- Enter
the value of the "constant".
- Type")"
then press the "Enter" key.
- Select the range C11:C14.
- Press
the "F2" key
then hold down "Ctrl ",
" Shift"
and press the "Enter"
key.
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When no unknown_x's
are chosen the GROWTH function will
return the expected y values that follow
the calculated exponential trend of
the known x values. The function can
be uses to interpolate unknown y values
between known x values e.g. GROWTH({2,4,8,16},{1,2,3,4},
2.5, FALSE) = 5.656854. or directly
find the equation for the exponential trend
line.
[chart]
Note: If
any other the number in the "known_x"
values are negative or equal to zero
the GROWTH function returns a #NUM error
value. |
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