THE UNIVERSITY OF SYDNEY
Math1005 Statistics
Semester 2
Tutorial Week 4
2006
We encourage you to attempt these problems before your tutorial class.
1.
(
Multiple choice
) For a set of 12 pairs of observations on (
x,y
) from an experiment, the
scatter plot suggests that it is possible to fit a linear regression model for the data. The
following summary for
x
and
y
is obtained:
summationdisplay
x
i
= 25
,
summationdisplay
y
i
= 432
,
summationdisplay
x
2
i
= 59
,
summationdisplay
y
2
i
= 15648
,
summationdisplay
x
i
y
i
= 880
.
5
.
The values of
S
xx
,S
yy
,
and
S
xy
are (respectively):
(a) 6.92, 15648, and 880.5
(b) 6.92, 96, and 880.5
(c) 6.92, 96, and 19.5
(d) 19.5, 96, and 880.5
(e) none of the above.
2.
(
Multiple choice
) The sample correlation coefficient between
x
and
y
in Q1 is (2dp):
(a) 7.57
(b) 7.57
(c) 0.08
(d) 0.76
(e) 1.00.
3.
(
Multiple choice
) A sixsided die is loaded in such a way that an even number is twice
as likely to occur as an odd number. The probability that a number (strictly) less than 4
occurs in a single toss of the die is:
(a) 1/9
(b) 1
(c) 4/9
(d) 1.5
(e) none of these.
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 Linear Regression, Regression Analysis, Binomial distribution, Yi, blood Type O.

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