General Maths Unit 3 time series data

The following pattern in the time series graph is best described as:

• trend only

• trend with irregular fluctuations

• seasonal

• seasonal with trend

• irregular fluctuations

Suppose that the seasonal indices for the number of travellers on a tram route are as given in the table. The value of a is:

• 0.9

• 1.0

• 1.1

• 1.2

• 1.3

The following pattern in the time series graph is best described as:

• trend only

• cyclic but not seasonal

• seasonal

• seasonal with trend

• irregular fluctuations only

The seasonal indices for the number of air-conditioners sold at a particular shop are given in the following table. If the number of air-conditioners sold in the third quarter Q3 is 422, then the deseasonalised figure (to

the nearest whole number) is:

• 295

• 401

• 422

• 597

• 703

The following pattern in the time series graph is best described as:

• trend only

• trend with irregular fluctuations

• seasonal

• seasonal with trend

• irregular fluctuations only

A hotel has noted that their seasonal index for room bookings in the autumn quarter is 1.2. In terms of

their quarterly bookings this means that:

• in autumn they have 20% more bookings than in winter

• in autumn they have 20% less bookings than in an average quarter

• each autumn they have 20% more bookings than in the previous autumn

• in autumn they have 20% more bookings than in an average quarter

• in autumn they have 120% more bookings than in an average quarter

The following pattern in the time series graph is best described as:

• trend only

• trend with irregular fluctuations

• seasonal

• seasonal with trend

• irregular fluctuations only

Suppose that the seasonal indices for the volume of tomatoes produced by a grower are as given in the

table. The value of b is:

• 0.40

• 1.20

• 1.40

• 1.00

• 3.60

The seasonal indices for the number of television sets sold at a particular shop are given on the following table. If the number of television sets sold in the fourth quarter, Q4, is 654, then the deseasonalised figure (to the nearest whole number) is:

• 458

• 503

• 2012

• 654

• 850

A snowboard manufacturer determines that the seasonal index for sales in the winter quarter is 1.8. In terms of their quarterly sales this means that:

• in winter they sell 80% more snowboards than in an average quarter

• in winter they sell 80% less snowboards than in an average quarter

• each winter they sell 80% more snowboards than in the previous winter

• in winter they sell 180% more snowboards than in an average quarter

• in winter they sell 180% less snowboards than in an average quarter