This preview shows pages 1–3. Sign up to view the full content.
12/1/2010
1
Predicting for Individuals versus Estimating the Mean
How would you predict the final exam score
for Barb
who scored 60 points on exam 2?
)
(
046
.
1
67
.
21
ˆ
x
y
How would you estimate the mean final exam score
for all students
who scored 60 points on exam 2?
estimate for predicting a future observation
and for estimating the mean response are same.
What about their
standard errors
?
Predicting for Individuals versus Estimating the Mean
A population of individuals and a population of means…
Std dev for a population of individuals?
Std dev for a population of means?
Which standard deviation is larger?
So a
prediction interval
for an individual response
will be (wider
or
narrower) than a
confidence interval
for a mean response
.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document12/1/2010
2
Predicting for Individuals versus Estimating the Mean
Confidence interval for a mean response
:
s.e.(fit)
ˆ
*
t
y
where
2
2
)
(
1
)
fit
(
s.e.
This is the end of the preview. Sign up
to
access the rest of the document.
 Winter '10
 Gunderson
 Statistics

Click to edit the document details