<s>
In	O
applied	O
statistics	O
,	O
a	O
partial	B-Application
regression	I-Application
plot	I-Application
attempts	O
to	O
show	O
the	O
effect	O
of	O
adding	O
another	O
variable	O
to	O
a	O
model	O
that	O
already	O
has	O
one	O
or	O
more	O
independent	O
variables	O
.	O
</s>
<s>
Partial	B-Application
regression	I-Application
plots	I-Application
are	O
also	O
referred	O
to	O
as	O
added	O
variable	O
plots	O
,	O
adjusted	O
variable	O
plots	O
,	O
and	O
individual	O
coefficient	O
plots	O
.	O
</s>
<s>
When	O
performing	O
a	O
linear	B-General_Concept
regression	I-General_Concept
with	O
a	O
single	O
independent	O
variable	O
,	O
a	O
scatter	B-Application
plot	I-Application
of	O
the	O
response	O
variable	O
against	O
the	O
independent	O
variable	O
provides	O
a	O
good	O
indication	O
of	O
the	O
nature	O
of	O
the	O
relationship	O
.	O
</s>
<s>
Although	O
it	O
can	O
still	O
be	O
useful	O
to	O
generate	O
scatter	B-Application
plots	I-Application
of	O
the	O
response	O
variable	O
against	O
each	O
of	O
the	O
independent	O
variables	O
,	O
this	O
does	O
not	O
take	O
into	O
account	O
the	O
effect	O
of	O
the	O
other	O
independent	O
variables	O
in	O
the	O
model	O
.	O
</s>
<s>
Partial	B-Application
regression	I-Application
plots	I-Application
are	O
formed	O
by	O
:	O
</s>
<s>
The	O
least	O
squares	O
linear	B-General_Concept
fit	I-General_Concept
to	O
this	O
plot	O
has	O
the	O
slope	O
and	O
intercept	O
zero	O
.	O
</s>
<s>
The	O
residuals	O
from	O
the	O
least	O
squares	O
linear	B-General_Concept
fit	I-General_Concept
to	O
this	O
plot	O
are	O
identical	O
to	O
the	O
residuals	O
from	O
the	O
least	O
squares	O
fit	O
of	O
the	O
original	O
model	O
(	O
Y	O
against	O
all	O
the	O
independent	O
variables	O
including	O
Xi	O
)	O
.	O
</s>
<s>
It	O
is	O
easy	O
to	O
see	O
many	O
kinds	O
of	O
failures	O
of	O
the	O
model	O
or	O
violations	O
of	O
the	O
underlying	O
assumptions	O
(	O
nonlinearity	O
,	O
heteroscedasticity	B-General_Concept
,	O
unusual	O
patterns	O
)	O
.	O
</s>
<s>
Partial	B-Application
regression	I-Application
plots	I-Application
are	O
related	O
to	O
,	O
but	O
distinct	O
from	O
,	O
partial	B-Application
residual	I-Application
plots	I-Application
.	O
</s>
<s>
Partial	B-Application
regression	I-Application
plots	I-Application
are	O
most	O
commonly	O
used	O
to	O
identify	O
data	O
points	O
with	O
high	O
leverage	O
and	O
influential	O
data	O
points	O
that	O
might	O
not	O
have	O
high	O
leverage	O
.	O
</s>
<s>
Partial	B-Application
residual	I-Application
plots	I-Application
are	O
most	O
commonly	O
used	O
to	O
identify	O
the	O
nature	O
of	O
the	O
relationship	O
between	O
Y	O
and	O
Xi	O
(	O
given	O
the	O
effect	O
of	O
the	O
other	O
independent	O
variables	O
in	O
the	O
model	O
)	O
.	O
</s>
<s>
Note	O
that	O
since	O
the	O
simple	O
correlation	O
between	O
the	O
two	O
sets	O
of	O
residuals	O
plotted	O
is	O
equal	O
to	O
the	O
partial	B-Language
correlation	I-Language
between	O
the	O
response	O
variable	O
and	O
Xi	O
,	O
partial	B-Application
regression	I-Application
plots	I-Application
will	O
show	O
the	O
correct	O
strength	O
of	O
the	O
linear	O
relationship	O
between	O
the	O
response	O
variable	O
and	O
Xi	O
.	O
</s>
<s>
This	O
is	O
not	O
true	O
for	O
partial	B-Application
residual	I-Application
plots	I-Application
.	O
</s>
<s>
On	O
the	O
other	O
hand	O
,	O
for	O
the	O
partial	B-Application
regression	I-Application
plot	I-Application
,	O
the	O
x-axis	O
is	O
not	O
Xi	O
.	O
</s>
<s>
This	O
limits	O
its	O
usefulness	O
in	O
determining	O
the	O
need	O
for	O
a	O
transformation	O
(	O
which	O
is	O
the	O
primary	O
purpose	O
of	O
the	O
partial	B-Application
residual	I-Application
plot	I-Application
)	O
.	O
</s>
