Casio CFX-9800G - Page 74

® Regression
The
following
ate
the
formulas
the
unit
uses
to
calculate
constant
term
Aand
regression
coefficient
B
for
the
regression
formula
y=A™+
Bx.
;
%
Logarithmic Regression
*The logarithmic regression formula is-y=A+Benx. _
*Lx, Lx*, and Lxy are obtained as Linx, L(Inx)?, ‘and rinxey: respectively,
A=
Ly-Bexx
:
oxy
-oeLy
:
i
_
n
>
meEx?-
(Lx?
_
:
>
:
:
Example
+
Operation
;
___
Display
The
following
is
the
formula
the
unit
u
uses
to
calculate
correlation
Coefficient
rand|
éstimated
:
xi
yi
ti
7
€3(SET)
(LOG)
values
of
x
and
y.
y
29
1.6
wad
anite
{F2)(NON)
Em)
re
moxy-Deby
7
:
;
50
23.5.
3
|-
CH)
F2](Scl)
Ge
(i
diwEx?=
(Ex)
(ety?
(Cy?)
iS
Ps
tea
rs
memory)
o
.
yA?
‘
aca
‘
:
118
48.9
oa
F3)(,)
1.6]
(DT)
|
3.36729583
f=A+Bx
f=
ia
:
:
,)23.5F1(0
Q
2
Bows.
30
#
,
.
The
data
in
the
above
table
|g,
()
oD
3:9
12029005
sets
:
can'be
used
to
obtain
the’
|).
“4@3()38.0€9(0T)
4.304065093
HLinear
Regression
te
terms
of
the
regression
for-:..:
10363)(,)46.4)(DT)
4,634728988
pte
she
‘
mula
and
the
correlation
118
oa
Example
rel
Operation
Display
coefficient.
Based
on
the
2
7
118ER(.)
48.9607)
4.770684624
:
j
:
ade
formula,
estimat-..},,
,
-
(Constant
term
A)
ae
*Relationship
between
tem-
3)(SET)(EX(LIN)
value
§
can
be
obtained
|
/-:-
Fa(REG)
EDA
-
111.1283976
Relationship
between
eye:
|
_-GORBINONM
|
for
=
80,
and
estimated
Meanie
cl
me
tg
_
a
steel
bar.
¥
GGAEA
(Sel)
8
value
£
can
be
obtained
for
(Regression
costticient
e)
ne
ee
a
alee
:
yi=73.
:
@(8)e8
34.0201475
Ip
ae
|):
Or
)100369(07)
40
des
(Correlation
me
“e-a0401394
i
:
i
8)
ae
ir
;
99%
66
4005mm
15€3(,)
1005E0(07)
18
:
_.
(Dwhen
xi=
20)
80F(9)EB
37.94879482
1010mm-
20(F3)(,)
1010]
(DT)
20
=
~
i
Cie
hen
yi=
1011mm
|
25G3(,)1011
(07)
25
\
‘34
(4
when
yi=73)
73
Fa)
2)
BB
224.1541313
Joigmnn
3063(,)1014(07)
300
‘
oe
:
(Constant
term
A)
-
The
data
in
the
above
table
can
be
used
to
obtain
the
oF
ERE
EAE.
S68
terms
of
the
regression
for-
(Regression
coefficient
B)
!
mula
and
the
correlation
F2)(B)
Ed
wv,
0.56
H
coefficient.
Based
on
the
i
ick
Y
i
regression
formula,
the
esti-
(Consiation
coeticiont
(EU)
8.9826079689)
i
mated
length.of
the
steel
bar
|
(Lenath
at
16°C)
18(5)(9)@s
<3.
1007.48
at
18°C
and
the
temperature
-
oe
.
.
(Temperature
at
1000mm)
when
the
bar
is
1000
mm
.1000F(2)
2
42857143
i
long.can
be
calculated.
%
.
A
The
critical
coefficient
(r?)
a.
Critical
coefficient)
:
and
covariance
Fs)
(r)
SE
0.9655172414
Uxy-a
(Covariance)
2
(
n-1
=)
EMFS
(ZC)
EI
cxy
Es
i
e@yeaeER
DEVE)
fi
can
also
be
calculated.
FELIS)
:
©7)S10e
;
35
—1[2-
=113—