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Statistical Expressions - Canon F-73P Instructions Manual

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(Ex. 2) Calculate the intercept (a) and gradient
(b) of regression line (y=a+bx) and
correlation coefficient
(r)
from the
sales
amount table covering the last 5 years.
Then estimate the year in which
the
sales amount will
reach
100 million dol-
lars.
• The sales amounts are entered in common
loga-
rithm.
Operation
~~@
1977~1
1
9~~~
1978~22
. 4~~~
1979~25
4~~~
1980~29
4~~~
1981~36
0~~~
54
IIVr
om
Ill¥
a
om
Ill¥
b
om
00
Ill¥ Ill Ill¥
:f:
1
OGEJOCQJ
Display
0.
0.
0
.0000
.o
ooo
I
2
.
0000
I
3
.
0000
4
.0000
5
.0000
0.9373
Explanation
Specifies
two-variable
statistical mode
Clears
the
storage
memory
Specifies
decimal
point
selection
at 4
digits.
Entry
of variables
-212
.
2817
I
a
0
.
1080
b
1984
8257
ln1984,thesales
amount
will
reach
100 million dollars.
3.
Statistical Expressions
- - -
Outputs
Operation
Expression
sum of variables (x)
IIIVdS
0
1
2:x
Square sum of
variables (x)
Ill¥~'
0 "
.z:r
Number of variables
Ill¥ n
om
n
Mean
value
of
Ill¥
X
-_
LX
variables (x)
OCD
x
-
-
n
Standard
deviation
~
sample of variables
~"55
(x)
Standard
deviation
n
1
I
Population
parameter
IIIVX<T'
IJ~x
2
~CL:~
2
of
variables (x)
0 8
Sum of variables
(y)
Ill¥
"&5
0 "
LY
Square
sum
of
Ill¥
CJ5'
LY
I
I
variables (y)
0
5
Mean value of
~&
y=lL
variables (y)
n
Standard
deviation
;~_;-lli23___
sample of variables
Ill¥
/I<J"·'
(y)
OCD
n
Standard
deviation
n-
1
Population parameter
IIIV
yao
I/LY:(L:t2
of
variables
(y)
OGJ
,
Sum of product of
variables (x, y)
Ill¥
"i.xg
om
LX'Y
lntercept(a) of
Ill¥
b
n· LX.)'
-
L:x·
L.)'
regression
line
o
m
n-L:xL (L:x)2
Gradient
(b) of
Ill¥
a
2:.)' - b·Lx
regression
line
om
n
Correlation
Ill¥
r
n
·Ix~
-
Iri~
coefficient
(r)
om
/ ln·uL(IxJ21
· 1n·I/-
(Iy)
2
1
Estimate
(x)
y
Ill¥
.i:
-
Y-
a
x=- -
OCQJ
b
Estimate
(y)
X
Ill¥
{J
OCJ
y
=
a+
bx
55

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