Sharp PC-1500 Applications Manual page 54

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PROGRAM
LOG ISTIC CURVE
PROGRAM NO.
2
T l
T L E
P5- B-4
2. k is unknown:
y
i
Y i '
Yi
Estimate value
1 ~o
11
388
2 50
12
475
%
= 10
3
67
13 591
• = 15
4
88
H
713
• =18
~
119 15
845
+
= 19
6
146 16
983
7 182
17
1143
s
223 18 1256
9
273
19 1377
10 322 20
1513
I
Contents
I
(Formulas)
I . k is known:
"
y =
1
+ me
..
2n: Natural logarithm
k
- - 1
= me - · ·
y
k
fn ( - - l ) = Pnm
ax
y
Putting Y
=
2n (
..!. -
I ), A
=
2n m, B =a, the following
is
obtained.
y
From the least square method, the results are:
I:r'IY - l:xl:x Y
A=
n2 x' - (Ix)'
I ..
= ••
B=
nl: xY - IxIY
nl:x' - ( Ir)'
a= - B
2 . k is unknown:
The reciprocal of both members in a curve formula is taken to write the
following:
1 1
m
- = - +- c
..
y
k k
with
1 1
m
Y = - ,K m T
, A = T . B =c - •
y . .
Y = K -
AB' is obtained.
This
i~
determined by the method of a modified exponential curve, as
follows:
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