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Quiz 6
This quiz is based on the lecture material in Week 7 plus some review from earlier
weeks.
A measurement system is to be used to measure a critical characteristic
y
of every part
produced in a high volume manufacturing environment. To calibrate the system, 10
standard units (with known values
x
) are measured twice each. All measurements are
made in microns. The data and some summaries are given below.
x
y
x
y
3.0
2.5
5.5
4.7
3.0
2.2
5.5
4.4
3.5
2.7
6.0
5.0
3.5
3.1
6.0
5.1
4.0
3.1
6.5
5.2
4.0
3.5
6.5
4.9
4.5
3.9
7.0
5.6
4.5
3.8
7.0
5.5
5.0
4.1
7.5
5.9
5.0
3.7
7.5
5.8
2
5.25,
4.235,
(
)
41.223,
(
)
31.525
ii
i
x
y
xx
y
==
−
=
−
=
∑∑
Consider the regression model
12
0
(
)
,
,...,
~
(0, ) independent
i
Yx
x
R
R
R
G
α
βσ
=+
− +
Using the above data, we get
2
ˆ
ˆ
0.2072
20 2
i
r
σ
−
∑
where
ˆ
ˆ
ˆ
()
i
ry
αβ
=
−−
−
.
1.
(1 mark)The parameter
represents
A:
the yintercept
B:
the average value
y
when
x
is known
C:
the average value of the response variate when the explanatory variate has
value
x
D:
the slope
2.
(1 mark)The larger the value of
A:
the more variable will be the response variate
B:
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 Spring '10
 McKay

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