Casio fx-4200P - Exponential Regression

(Exponential
Regression)
*The
calculator
uses
the
formula
y=
A-e®”
(Iny=InA+
Br)
for
exponential
regression.
*Data Input
@
Press
(moj
(Z)
to
enter
the
LR
mode.
@Press
to
clear
the
statistical
memories.
@eEnter
each
data
item,
using
the
following
sequence:
(X-DATA)
&a0)()in)
(Y-DATA)
OF).
*You
can
enter
identical
data
items
using
the
same
two
procedures
described
for
linear
regression,
but
you
must
always
press
the
(in)
key
before
entering
the
Y-DATA.
¢Deleting Entered Data
To
delete
entered
data,
use
the
same
procedures
described
for
linear
regression,
but
.remember
to
always
press
the
[In]
key
before
entering
Y-DATA.
*Calculations
The
following
table
shows
the
results
produced
by
each
key
operation:
[Key
Operation
Result
i]
Constant
term
A
@W-
B-o
ane
O-@
w-0
xO
S)
CQO]
EG
|
Estimated
value
of
y
S-B3
lf
we
assume
that
iny=y»
and
InA=a’,
the
exponential
regression
formula
y=A-e®*
(Iny
=
InA
+
Bx)
becomes
the
linear
regression
formula
y=
a+
bx.
Therefore,
the
formulas
for
constant
term
A,
regression
coefficient
B
and
correlation
coefficient
r
are
identical
for
exponential
and
linear
regression.
Anumber
of
exponential
regression
calculation
results
differ
from
those
produced
by
linear
regression.
Note
the
following:
Linear
regression
|
Exponential
regression
ty,
Liny
3
Ly
L(iny)
Uxy
Lx-iny
Example
Operation
Display
oan
>
“LR
xt
vi
Sta
3
6.9
21.4
6.9
GF)
In)
21.4
OF
6.9
12.9
15.7
12.989
(15.7
BF
12.9
19.8
12.4
19.8
GG}
fig)
12.14
OF
19.8
26.7
85
26.7
Gn)
8.5
(7)
26.7
35.1
52
35.1
G0
)fn)
5.2
7)
35.1
To
perform
exponential
c
(Constant
term
A)
regression
on
the
above
data
(exe
to
determine
the
regression
Ses
Sve
formula
and
the
correlation
i
ttl
sc
coefficient.
Then
use
the
SAEs
|
~
0.0492037083
regression
formula
to
esti-
(Correlation
coetticient
+)
mate
~
when
xi=
16
and
¥<
@H(O
G8
|
-0.9972473517
when yi= 20.
(9 when xi» 16)
16 GH) (D) Be Gir Ss HE
{% when yi = 20)
(in) 20 GA) Be
—~59—
13.87915739
8.574868045