Canon F-73P - Statistical Expressions

(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
~~@
19 77 ~ 1 1 9 ~~~
1978~22 . 4 ~~~
19 79 ~ 2 5 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
0.9 37 3
Explanation
Specifies two-variable
statistical mode
Clears
the storage
memory
Specifies
de ci mal
point selection at 4
digits.
Entry
of variables
-2 12. 28 17 I a
0.1080 b
19 84 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)
08
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
Standa rd 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 produ ct 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
Gradie nt (b) of
Ill¥
a
2:.)'-b · Lx
regression line
om
n
Correlation
Ill¥ r
n ·Ix~ - Iri~
coefficie nt (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