<s>
A	O
scatter	B-Application
plot	I-Application
(	O
also	O
called	O
a	O
scatterplot	B-Application
,	O
scatter	B-Application
graph	I-Application
,	O
scatter	B-Application
chart	I-Application
,	O
scattergram	B-Application
,	O
or	O
scatter	B-Application
diagram	I-Application
)	O
is	O
a	O
type	O
of	O
plot	B-Application
or	O
mathematical	B-Application
diagram	I-Application
using	O
Cartesian	O
coordinates	O
to	O
display	O
values	O
for	O
typically	O
two	O
variables	O
for	O
a	O
set	O
of	O
data	O
.	O
</s>
<s>
A	O
scatter	B-Application
plot	I-Application
can	O
be	O
used	O
either	O
when	O
one	O
continuous	O
variable	O
is	O
under	O
the	O
control	O
of	O
the	O
experimenter	O
and	O
the	O
other	O
depends	O
on	O
it	O
or	O
when	O
both	O
continuous	O
variables	O
are	O
independent	O
.	O
</s>
<s>
If	O
no	O
dependent	O
variable	O
exists	O
,	O
either	O
type	O
of	O
variable	O
can	O
be	O
plotted	O
on	O
either	O
axis	O
and	O
a	O
scatter	B-Application
plot	I-Application
will	O
illustrate	O
only	O
the	O
degree	O
of	O
correlation	O
(	O
not	O
causation	B-Application
)	O
between	O
two	O
variables	O
.	O
</s>
<s>
A	O
scatter	B-Application
plot	I-Application
can	O
suggest	O
various	O
kinds	O
of	O
correlations	O
between	O
variables	O
with	O
a	O
certain	O
confidence	O
interval	O
.	O
</s>
<s>
A	O
line	O
of	O
best	B-Algorithm
fit	I-Algorithm
(	O
alternatively	O
called	O
'	O
trendline	O
 '	O
)	O
can	O
be	O
drawn	O
to	O
study	O
the	O
relationship	O
between	O
the	O
variables	O
.	O
</s>
<s>
An	O
equation	O
for	O
the	O
correlation	O
between	O
the	O
variables	O
can	O
be	O
determined	O
by	O
established	O
best-fit	B-Algorithm
procedures	O
.	O
</s>
<s>
For	O
a	O
linear	O
correlation	O
,	O
the	O
best-fit	B-Algorithm
procedure	O
is	O
known	O
as	O
linear	B-General_Concept
regression	I-General_Concept
and	O
is	O
guaranteed	O
to	O
generate	O
a	O
correct	O
solution	O
in	O
a	O
finite	O
time	O
.	O
</s>
<s>
No	O
universal	O
best-fit	B-Algorithm
procedure	O
is	O
guaranteed	O
to	O
generate	O
a	O
correct	O
solution	O
for	O
arbitrary	O
relationships	O
.	O
</s>
<s>
A	O
scatter	B-Application
plot	I-Application
is	O
also	O
very	O
useful	O
when	O
we	O
wish	O
to	O
see	O
how	O
two	O
comparable	O
data	O
sets	O
agree	O
to	O
show	O
nonlinear	O
relationships	O
between	O
variables	O
.	O
</s>
<s>
The	O
scatter	B-Application
diagram	I-Application
is	O
one	O
of	O
the	O
seven	O
basic	O
tools	O
of	O
quality	O
control	O
.	O
</s>
<s>
Scatter	B-Application
charts	I-Application
can	O
be	O
built	O
in	O
the	O
form	O
of	O
bubble	B-Application
,	O
marker	O
,	O
or/and	O
line	B-Application
charts	I-Application
.	O
</s>
<s>
The	O
researcher	O
would	O
then	O
plot	B-Application
the	O
data	O
in	O
a	O
scatter	B-Application
plot	I-Application
,	O
assigning	O
"	O
lung	O
capacity	O
"	O
to	O
the	O
horizontal	O
axis	O
,	O
and	O
"	O
time	O
holding	O
breath	O
"	O
to	O
the	O
vertical	O
axis	O
.	O
</s>
<s>
A	O
person	O
with	O
a	O
lung	O
capacity	O
of	O
who	O
held	O
their	O
breath	O
for	O
would	O
be	O
represented	O
by	O
a	O
single	O
dot	O
on	O
the	O
scatter	B-Application
plot	I-Application
at	O
the	O
point	O
(	O
400	O
,	O
21.7	O
)	O
in	O
the	O
Cartesian	O
coordinates	O
.	O
</s>
<s>
The	O
scatter	B-Application
plot	I-Application
of	O
all	O
the	O
people	O
in	O
the	O
study	O
would	O
enable	O
the	O
researcher	O
to	O
obtain	O
a	O
visual	O
comparison	O
of	O
the	O
two	O
variables	O
in	O
the	O
data	O
set	O
and	O
will	O
help	O
to	O
determine	O
what	O
kind	O
of	O
relationship	O
there	O
might	O
be	O
between	O
the	O
two	O
variables	O
.	O
</s>
<s>
For	O
a	O
set	O
of	O
data	O
variables	O
(	O
dimensions	O
)	O
X1	O
,	O
X2	O
,	O
...	O
,	O
Xk	O
,	O
the	O
scatter	B-Application
plot	I-Application
matrix	O
shows	O
all	O
the	O
pairwise	O
scatter	B-Application
plots	I-Application
of	O
the	O
variables	O
on	O
a	O
single	O
view	O
with	O
multiple	O
scatterplots	B-Application
in	O
a	O
matrix	O
format	O
.	O
</s>
<s>
For	O
variables	O
,	O
the	O
scatterplot	B-Application
matrix	O
will	O
contain	O
rows	O
and	O
columns	O
.	O
</s>
<s>
A	O
plot	B-Application
located	O
on	O
the	O
intersection	O
of	O
row	O
and	O
th	O
column	O
is	O
a	O
plot	B-Application
of	O
variables	O
Xi	O
versus	O
Xj	O
.	O
</s>
<s>
This	O
means	O
that	O
each	O
row	O
and	O
column	O
is	O
one	O
dimension	O
,	O
and	O
each	O
cell	O
plots	O
a	O
scatter	B-Application
plot	I-Application
of	O
two	O
dimensions	O
.	O
</s>
<s>
A	O
generalized	O
scatter	B-Application
plot	I-Application
matrix	O
offers	O
a	O
range	O
of	O
displays	O
of	O
paired	O
combinations	O
of	O
categorical	O
and	O
quantitative	O
variables	O
.	O
</s>
<s>
A	O
mosaic	B-Application
plot	I-Application
,	O
fluctuation	O
diagram	O
,	O
or	O
faceted	O
bar	B-Application
chart	I-Application
may	O
be	O
used	O
to	O
display	O
two	O
categorical	O
variables	O
.	O
</s>
