Competing Function Model Validation
AP Precalculus · Flashcards · Recall
AP PRECALCULUS · FLASHCARDS
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QUESTION
Which model is preferred if two models have similar context fit but one has larger
R
2
R^2
R
2
?
QUESTION
Which residual plot pattern indicates a model is likely appropriate: random scatter or a curved pattern?
QUESTION
What transformation makes an exponential model
y
=
a
b
x
y=ab^x
y
=
a
b
x
linear for regression?
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ANSWER
Take logs:
l
n
(
y
)
=
ln
(
a
)
+
x
ln
(
b
)
ln(y)=\ln(a)+x\ln(b)
l
n
(
y
)
=
ln
(
a
)
+
x
ln
(
b
)
. This linearizes to
Y
=
ln
(
a
)
+
X
ln
(
b
)
Y = \ln(a) + X\ln(b)
Y
=
ln
(
a
)
+
X
ln
(
b
)
where
Y
=
ln
(
y
)
Y=\ln(y)
Y
=
ln
(
y
)
,
X
=
x
X=x
X
=
x
.
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