Topics
4. Time Series
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AustraliaVIC
VCE 12 General 2023

4.01 Time series data

Lesson
Worksheet
Practice
Worksheet
Time series graphs
1

Using the graph below, list the months where the rainfall in London was less than the rainfall in Berlin:

2

The graph below shows the change in Apple Inc.'s share price along with major releases of its products:

Using the graph, state whether each of the following is true or false:

a

The price of Apple’s products always increased.

b

The release of Apple products promoted a general trend upwards in the share price.

c

Apple’s share price increased by the same amount each year.

3

Consider the following graph:

a

State the explanatory variable.

b

Describe the overall trend in the data.

c

Estimate the temperature at 6 pm.

4

The graph below shows the change in Australian stock prices (in red) and US stock prices (in blue) over several years:

Source: treasury.gov.au

a

Describe the trend of the US and Australian stock prices from October 2002 to October 2006.

b

During October of which year does the trend change direction?

c

Describe the features of the graph that indicate that the Global Financial Crisis occurred.

d

Which country’s stock prices fared better after the Global Financial Crisis?

5

The following graph shows the number of US dollars that one Australian dollar could buy over a 5-year period:

Source: XE.com

Describe the overall trend of the data.

6

The graph shows energy usage, in \text{kWh}, in two countries over several years:

2004
2005
2006
2007
2008
2009
2010
2011
2012
\text{Year}
125000
150000
175000
200000
225000
\text{Energy}
a

In which year did Australia use the most energy?

b

In which year did England use the most energy?

c

Which country seems to be cutting back on its energy use?

7

For the following graph:

Source: endgame.com

a

Describe the overall trend for this data.

b

On what date does an outlier appear to occur?

8

Consider the following graph:

Describe how the population of Australia changed over this time period.

Australia's Population (in millions)
2004
2005
2006
2007
2008
2009
\text{Year}
20.2
20.4
20.6
20.8
21
21.2
21.4
9

Consider the following graph:

Population (in billions)
2004
2005
2006
2007
2008
2009
2010
2011
2012
\text{Year}
1.1
1.2
1.3
1.4
a

Is the data for Australia, as shown in the table below, suitable for display on this graph?

YearPopulation of AustraliaPopulation of China
200420.13\text{ million}1.295\text{ billion}
201222.73\text{ million}1.351\text{ billion}
b

Which country had the quickest population growth during this time? Explain your answer.

c

Which country had the greater population during this time? Explain your answer.

10

For each of the following time series graphs:

i

Describe the overall trend of the data.

ii

State the number of points per cycle.

a
2
4
6
8
10
12
x
5
10
15
20
25
30
y
b
2
4
6
8
10
12
x
10
20
30
40
50
60
70
80
y
c
2
4
6
8
10
12
14
16
x
-100
-80
-60
-40
-20
20
40
60
80
100
120
140
160
y
d
2
4
6
8
10
12
x
5
10
15
20
25
30
y
e
2
4
6
8
10
12
14
16
x
10
12
y
f
5
10
x
15
20
25
30
35
40
45
50
y
Time series data
11

For each of the following sets of time series data:

i

Plot the data on a graph.

ii

State the number of seasons (points per cycle) in this data.

iii

Describe the overall trend of the data.

iv

State the time period there appears to be an outlier or unusual fluctuation.

a
Time Period123456789101112
Data510181112071322101525
b
Time Period123456789101112
Data7510095135609090110557595105
12

From the beginning of 2012, the number of new houses built in the suburb of Woodford was recorded and figures are released every four months.

The table shows the data from the beginning of 2012 to the end of 2015:

a

Plot a time series graph for the data.

b

Does the data appear to be seasonal?

c

Describe the overall trend of the data.

d

State the number of seasons (points per cycle) in this data.

Time periodHouses built
\text{April }2012103
\text{August }201292
\text{December }2012105
\text{April }201399
\text{August }201388
\text{December }2013104
\text{April }201493
\text{August }201485
\text{December }2014103
\text{April }201593
\text{August }201583
\text{December } 201596
13

The local police station records the number of speeding fines issued each quarter.

The table shows the data for each quarter from 2012 to 2014:

a

Plot a time series graph for the data.

b

Does the data appear to be seasonal?

c

Describe the overall trend.

d

State the number of seasons (points per cycle) for the data.

Time periodHouses built
\text{March }201220
\text{June }201228
\text{September }201236
\text{December }201212
\text{March }201324
\text{June }201335
\text{September }201342
\text{December }201317
\text{March }201432
\text{June }201439
\text{September }201451
\text{December }201421
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U3.AoS1.13

time series data and its analysis

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