Sharp PC-1500 Applications Manual page 42
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- Technical reference manual (182 pages) ,
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- Service manual (37 pages)
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SHARP
PROGRAM
T I TL E
CORRELATION
COEFFICIENT,
LINEAR
REGRESSION AND
PLOT
I
Outline
I
(Statistics)
Data
exists
for
analyses and estimations.
PROGRAM
NO.
PS-6-
1
CE-
I SO required
This
program calculates the
covariance,
correlation coefficient,
and linear
regression
coefficients
between
related
datas
(X,,
Y,)
.
.
. (Xn,
Yn).
The given
data is
estimated for application
to Y
=
AX+B,
with
a
graphic printout
of the
results.
[ Operating
Guide,
I
l.
Data
input
{Xi.
Yi)
(where the capacity is i
<
I
0, in
the
standard memory size.)
2.
The
covariance,
correlation
coefficient, linear
regression
coefficient and mean
value
are calculated
for printouts.
3.
The graph
with X and
Y
centered
on the
X-axis and
Y-axis
is
generated,
on
which the
input
data and
estimated values
are displayed in different
colors.
4.
The
estimated value Y is
determined
from the value
X
for the printout
of
the
X
and
Y
values.
I
Example
I
x
6.9
7.6
7.6 9.0
8.1
6.5
6.4
6.9
Y
12
JO
9
S
6
IS
14
12
Covaria.
n ce
=
- 3.
060714286
Correlation coefficient
=
-
9.
693968513 E
·
01
Linear regteuion
coefficient
a =
-
3.
942042318
"
=
39.
4475621
I
Contents
]
(Formulas)
Srr
-
!r
.•
-
n'i'
I
Sry
=
I
r
.y
.-
nr
y
I
I
S
yy
=
Iy
/
-
nii'
C
&
Sry
I
(
n-
1
)
·
·
· · ·
·
·
Covariance
Mean
value
X
=
7
315
,
Y
=
10315
Estimated
value
X
=
7
, Y
=
I 1.85326587
X
8
,
Y
=
7.911223556
X
= 7.
S ,
Y
=
9.882244715
X
- 7.
3
,
Y
=
I0 .67065318
X
=
7.4
, Y
=
I0 .27644895
r
-
Srv
I
./
Srr Syy ·
· ·
·
·
·
· Correlation
coefficient
a
=
S
ry
I
S.r.r
l
Regression
coefficient
(
y=
a :r
+
b
)
b
=
ji
-
a
i
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