Sharp PC-1500 Applications Manual page 50
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- Service manual (37 pages)
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PROGRAM
TITLE
MODI
FIED
EXPONENTIAL CURVE
I
Contents
I
(Formulas)
I
.
k is
known;
PROGRAM
NO.
PS
-
B-3
When taken the
logarit
hms of both members in
k-yc
abx, which is from y=k-abx,
result in;
en (k
-
y) =
l!na
+
xi>nb.
With
Y =
i>n
(k
-
y), A
=
llna, B
=
l!nb, it is obtained
that
Y
=A
+
Bx.
From
the
least
square method, the
results
are;
A
=
I
x~Y
-
:tx
'.txY
n
I x
2
-
(I
z
)
'
B
_
n'.t.tY
-
IxIY
ni
x'
-
(
Ix
)'
2.
k is
unknown;
Datas, assumed
as
3n (if
No. of
datas
is
undividable
by 3,
the
remainder is
omitted), is
divided into 3
parts;
0
<
x
<
n
,
n
<
x
<
2n,
and 2n
<
x
<
3n,
with
sums
o
f
respective
parts
written as;
'
L•Y
=
2:
yi
·-·
. .
I;,y
=
2: u;
i
"'"
..
I
,.
L•Y =:E
YI
t
•
2•
•I
the
following
is
obtained
:
I
b=
(
l:
,y -
I,y )"
I
1
y
-
I
,
y
<l
=
(
! y
I
y
)
b
-
l
,
-
,
(b"
-
1
)
2
I
.
b
•
-
l
k=
-
(
I
1
y+
(
)
a
)
•
b
-
I
I
Printout
I
o=
10.0556453
b= 9
.80!!
8
1777E-01
*
£STIMA TE
l
X=
5
Y=
540.
9050113
X=
15
Y=
5
42
.5597658
Do not sale this PDF !!!
a
-=
39.9
16 57038
b
=
8.422365627E-01
k
=
68.9970248
*
ESTIMATE
*
X=
15
Y=
65.95848202
X=
16
Y=
66.43785267
-
44
-
2
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