Worksheets12 General Unit 3 Topic 2 2020
Total questions: 16
Worksheet time: 14mins
The pattern in the time series in the graph shown is best described as:
trend
cyclical but not seasonal
seasonal
irregular
average
The three-moving mean for time period 2 is closest to:
3.4
3.6
3.9
4.0
4.2
The five-moving mean for time period 3 is closest to:
3.4
3.6
3.9
4.1
4.2
The two-moving mean for time period 5 with centring is closest to:
2.7
3.6
3.9
4.0
4.2
The four-moving mean for time period 4 with centring is closest to:
2.7
3.6
3.9
4.1
4.2
The seasonal indices for the number of customers at a restaurant are as follows.
The value of p is:
0.5
0.7
0.8
1.0
1.2
The seasonal indices for the number of bathing suits sold at a surf shop are given in the table.
The number of bathing suits sold one summer is 432. The deseasonalised number is closest to:
432
240
778
540
346
The seasonal indices for the number of bathing suits sold at a surf shop are given in the table.
The deseasonalised number of bathing suits sold one winter was 380. The actual number was closest to:
114
133
152
380
1267
The seasonal indices for the number of bathing suits sold at a surf shop are given in the table.
The seasonal index for spring tells us that, over time, the number of bathing suits sold in spring tends to be:
50% less than the seasonal average
15% less than the seasonal average
the same as the seasonal average
15% more than the seasonal average
50% more than the seasonal average
The seasonal indices for the number of bathing suits sold at a surf shop are given in the table.
To correct for seasonality, the actual number of bathing suits sold in Autumn should be:
reduced by 60%
reduced by 40%
increased by 40%
increased by 60%
increased by 150%
The number of visitors to an information centre each quarter was recorded for one year. The results are tabulated below.
Using this data, the seasonal index for autumn is estimated to be closest to:
0.25
1.0
1.23
0.82
0.21
A trend line is fitted to a time series plot displaying the average age at marriage of males (in years) for the period 2005–2016.
The equation of this line is: age = 31.1 + 0.236 × year
Here year 1 is 2005, year 2 is 2006, and so on.
Using this trend line, the average age of marriage of males in 2020 is forecasted to be:
31.3
34.6
34.9
35.1
500
A trend line is fitted to a time series plot displaying the average age at marriage of males (in years) for the period 2005–2016.
The equation of this line is: age = 31.1 + 0.236 × year
Here year 1 is 2005, year 2 is 2006, and so on.
From the slope of the trend line it can be said that:
on average, the age of marriage for males is increasing by about 3 months per year
on average, the age of marriage for males is decreasing by about 3 months per year
older males are more likely to marry than younger males
no males married at an age younger than 27 years
on average, the age of marriage for males is increasing by 0.236 months per year
The equation of the least squares regression line that could enable us to predict the deseasonalised price is closest to:
price = 84.3 + 1.25 × day
price = −49.7 + 0.601 × day
price = 1.25 + 84.3 × day
price = 0.601 − 49.7 × day
price = 84.3 − 1.25 × day
The seven-mean deseasonalised smoothed price of petrol (in cents/litre) for this week was closest to:
87.4
88.3
88.5
89.3
90.0
The deseasonalised price (in cents/litre) on Thursday was 90.1. The actual price on Thursday was closest to:
63.1
75.6
110.8
128.7
135.4
