Casio fx-180P - Advanced Regression Models; Logarithmic and Power Regression; Exponential Regression

™ Logarithmic regression
Formula: VTAt+Beinx
*
Input
data
items
are
the
logarithm
of
x
{Inx),
and
¥
which
is
the
same
as
in
linear
regression,
*
Operation
for
calculating
and
correcting
regression
coefficients
are
basically
the
same
as
in
linear
regression.
Operate
the
sequence
x
3}
to
obtain
estimator
¥
and
»
Gl)
@)
®for
estimator
¥,
Note
that
Vinx,
Linx)?
and
E
Inxey
are
obtained
instead
of
Ux,
Lx7,
and
Lxv
respectively,
Ex.)
48.9 |
Find
A,
8.1,%
and
3
using
the
above
figures
as
a
basis,
OPERATION
READ-OUT
3.36729583
“LR 2 29mMER
16 &y
50 fy) 23) 5 Ga)
740 B38 Gy
103 fy) 346 2) 4 fai
118) &3948 0) 9 oH
9 @)
=)
co] Cal)
{When x/ is 80) 80H)
{When vi is 73) 73M @) oes
[798870070 |9
= Exponential regression
Formula: v=Acelt
"Input
data
items
are
the
logarithm
of
¥
(ny)
and
x
which
is
the
same
as
in
linear
regression,
"Operation
for
correction
is
basically
the
same
as
in
linear
regression,
Operate
f(a}
£4)
(3)
to
obtain
coefficient
A,
x
B)
&)
EF
for
estimator
F,
and
»
@
&
@
for
estimator
X,
Note
that
Einy,
5
{Iny}*,
and
£x+
Iny
are
obtained
instead
of
By,
Dy?
and
Xxy.
.
:
Find
A,
B,
r,
X
and
¥
using
the
above
figures
as
a
basis.
OPERATION
GReosaal 69 |
READ-OUT
“LRY
| 21 04aan |
120961507 om ‘
| 190868120 1H ey
2607 eas sae
3501 GASO)2 aw
@@e@e [30.49758743 (1A)
©@ | -0.0492037 | Is)
iF) |-0.99724735 {r)
{When x is 16}
! {When yf is 20}
f
®Power|regression
16 Des
20 mB)
13.87915739 {(¥)
8.57486805 (%)
v=Acxt
* Input dita items are Inx and iny.
*
Operation
for
correction
is
basically
the
same
as
in
linear
regression,
Operate
ty
[)
@) €} ta obtain
coefticient
A, x fh} ®) te) © for estimator
¥, and y Gm & Ba
4 for
estirnatbr
X,
Note
that
EInx,
E{inx)}?,
Liny,
¥lIny)?,
and
Linxeiny
are
obtained
instead
|of £x, 2x7,
Ly, Ey?
and Exy respectively,
Ex) i 28 = | 33 | 38 | 38
f_|_2410 | 3033 | 3895 | 4491 | 5717
Find A, Br, ¥ and P using the above figures as a basis.
OPERATION
Farmu la:
READ-OUT
“LR” OR 280 Ey
2410H aH
30M &A3033 in| Ga
33 &A3895 Gow
35H &R4491 How
!
|
3.33220451
7.787382026
8.017307508
8.267448958
8.409830673
8.651199471
0.238801299
2.771865947
0.998906243
6587.67582
20.26225439
380) 2485717 ty GH
aA) ba eA
(4 (8)
|
9)
i
(When
xi
is
40)
4019)
De)
(When
yi
is
1000)
1000
mA
me)
7 aid aa
(A)
(B)
{r)
(d)
(X)