STAT 420 – D1
Spring 2009
Version B
Name
ANSWERS
.
Exam 1
Page
Possible
Earned
1
4
2
10
3
9
4
12
5
11
6
4
7
10
Total
60
Be sure to show all your work; your
partial credit might depend on it.
No credit will be given
without supporting work.
The exam is closed book and closed notes.
You are allowed to use a calculator and
one 8½" x 11" sheet with notes on it.
___________________________________________________________________________
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related infractions; and failure to comply with research regulations.
Rule 33 of the Code of Policies and Regulations Applying to All Students gives complete details of rules governing
academic integrity for all students. You are responsible for knowing and abiding by these rules.
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Consider the following
bivariate data:
x
y
1
6
2
9
3
14
3
8
4
11
5
18
Σ
x
= 18,
Σ
y
= 66,
Σ
x
2
= 64,
Σ
y
2
= 822,
Σ
x
y
= 224,
Σ
(
x
–
x
)
2
= 10,
Σ
(
y
–
y
)
2
= 96,
Σ
(
x
–
x
) (
y
–
y
) =
Σ
(
x
–
x
)
y
= 26.
Consider the model
Y
i
=
α
+
β
x
i
+
ε
i
.,
where
ε
i
’s
are
i.i.d.
N
(
0,
σ
2
).
a)
(4)
Find the equation of the leastsquares regression line.
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 Spring '08
 STEPANOV
 Statistics, Normal Distribution, Variance, Yi, leastsquares regression line

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