42
CHAPTER
2 Manual Operations
Operation:
(Statistical memories cleared)
8~
0 • 8
GJ
2 • 5 8
8~
2 • 1
GJ
3 • 4 8
(Input
all
the paired data.)
Next, output paired-variable statistics by using
STAT LIST 2.
(Mean
ofx)
8~8~28
(Mean
ofy)
8
(Standard
deviation
of
x)
8
(Standard
deviation
of
y)
8
(Sample
standard deviation
of
x)
8
(Sample
standard deviation
of
y)
8
(Linear regression constant term) 8
(Linear regression coefficient) 8
(Correlation coefficient) 8
Zx/n=2.
185714286
i:"".,
..
__
-;r
.·-,14·-
..
-.C'..,1
O::...~•-'t1-
.
.:•,t•I
.L•:•·-'I
:,..,-i·t-,
= 1
n4q~·::i·~·4~·=·
...
..
. -
-·
·-·
-·
-.
_.,_,
yi:i'n = 1I2452.35:::1
'3
x
ct
r1
-1
= 1 . 1
.3
3 4 7 3
.~
~
:::
1
Yei'n-1=
1.
345008409
a
=1.174221646
b
=1.14251297.3
r
=0.9628252383
It
is
evident from the value
of
r that x and y have a positive correlation. Then,
what advertising expenditure ratio should be adopted to bring the operating
profit ratio
to
5
.7%?
What operating profit ratio
will
result when the advertising
expenditure ratio
is
4.5%? Now estimate such values.
(Estimated value
of
x)
(Estimated value
of
y)
EOX5 .
78
EOY4
.
58
3.
961248986
6 I 3155.30022
It
is
estimated from the above answers that the advertising expenditure ratio
needed to bring the operating profit ratio to 5 .
7%
is
3 .96%, and that when the
advertising expenditure ratio
is
4.5%,
an
operating profit ratio
of
6.32% will
result.
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