Question Tag: Time series

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QMDM – APR 2023 – L2 – Q4 – Time Series Forecasting for Chocolate Consumption

Explain terms, forecast next four periods with seasonality and average trend for chocolate data.

The following data is number of bars of chocolate consumed by ladies in a tertiary institution in Ga-East Municipal area.

T 1 2 3 4 5 6 7 8
Y 986 1245 902 704 812 1048 706 514
(a) Explain the terms de-seasonalized trend, seasonal index and forecast value in relation to the data above. [7 Marks]
(b) Forecast with seasonality and average trend the values for the next four periods of the above time series. [18 Marks]

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QTB – Nov 2014 – L1 – SB – Q4 – Forecasting

Analyze sales data using the Least Squares Method and forecast future sales based on the trend.

The sales of PQR Nigeria Plc. in thousands of Naira are listed in the table below for each quarter for years 2005 – 2008.

Sales of PQR in N’000s

Year Quarter 1 Quarter 2 Quarter 3 Quarter 4
2005 22 35 82 37
2006 24 46 81 44
2007 25 40 87 49
2008 29 42 100 55

Required:

a. Calculate the trend in the above data using the Least Squares Method. (12 Marks)
b. Estimate the sales for each quarter using the trend line. (4 Marks)
c. Calculate the percentage variation for each quarter’s actual sales from the estimate obtained in (b) above. (4 Marks)

(Total: 20 Marks)

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QTB – May 2017 – L1 – SA – Q18 – Statistics

This question calculates the centered moving average for a specific year in a time series of cocoa production.

A ten-year record of cocoa production in a certain farm is tabulated as follows:

Year 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012
Production (tonnes) 42 52 41 48 64 67 77 66 73 89

Based on a 4-year moving total, the centered moving average for the year 2007 is:
A. 79.5
B. 69.5
C. 59.5
D. 49.5
E. 39.5

 

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QTB – May 2017 – L1 – SA – Q14 – Statistics

This question involves identifying the estimable components of a time series.

The TWO components of a Time Series which are usually estimable are:
A. Trend and Cyclic variation
B. Seasonal variation and Trend
C. Random movements and Trend
D. Seasonal variation and Random movements
E. Cyclic variation and Seasonal variation

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QTB – May 2016 – L1 – SB – Q6a – Data Collection Analysis

This question involves calculating moving averages and centered moving averages for quarterly sales data.

The quarterly sales figures of company ABC Plc. for 3 years are as recorded below:

Year Quarter 1 Quarter 2 Quarter 3 Quarter 4
Year 1 30 34 37 41
Year 2 45 49 54 57
Year 3 59 66 70 74

Required:
i. Calculate:

  • The moving averages.
    (9 marks)

ii. The centered moving average for Quarter 3, Year 1.
(1 mark)

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QTB – May 2016 – L1 – SA – Q17 – Statistics

Calculating the trend stock for a future month based on historical stock figures.

A company takes stock for 5 months in each year. The stock figures of materials for the most recent three years are as tabulated below:

Determine the trend stock for month 6.

A. 84

B. 85

C. 86

D. 87

E. 88

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QTB – May 2015 – L1 – SA – Q19 – Statistics

Identifying the components separated during the deseasonalisation of business data.

Deseasonalisation of business data is a process of separating two components of a time series which are:

A. Trend and cyclical variation
B. Irregular and cyclical variation
C. Trend and seasonal variation
D. Cyclical and seasonal variation
E. Seasonal and irregular variations

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QTB – May 2015 – L1 – SA – Q14 – Statistics

Identifying types of variations present in time series data.

Which of the following represents the types of variations in time series analysis?

A. Trend and cyclical variation
B. Irregular and cyclical variation
C. Trend and seasonal variation
D. Cyclical and seasonal variation
E. Seasonal and irregular variations

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QTB – May 2015 – L1 – SA – Q12 – Statistics

Identifying the correct term for the amount of time activities can be delayed in project management.

The amount of time during which a path of activities could be delayed without affecting the overall project duration is called:

A. Independent float
B. Total float
C. Free float
D. Excess time float
E. Average time float

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QTB – May 2015 – L1 – SA – Q11 – Statistics

Identifying methods used to measure trends in time series data.

The following methods are used to measure the trend of a time series EXCEPT:

A. Semi-average
B. Moving average
C. Free-hand
D. Deseasonalisation
E. Least squares

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QMDM – APR 2023 – L2 – Q4 – Time Series Forecasting for Chocolate Consumption

Explain terms, forecast next four periods with seasonality and average trend for chocolate data.

The following data is number of bars of chocolate consumed by ladies in a tertiary institution in Ga-East Municipal area.

T 1 2 3 4 5 6 7 8
Y 986 1245 902 704 812 1048 706 514
(a) Explain the terms de-seasonalized trend, seasonal index and forecast value in relation to the data above. [7 Marks]
(b) Forecast with seasonality and average trend the values for the next four periods of the above time series. [18 Marks]

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QTB – Nov 2014 – L1 – SB – Q4 – Forecasting

Analyze sales data using the Least Squares Method and forecast future sales based on the trend.

The sales of PQR Nigeria Plc. in thousands of Naira are listed in the table below for each quarter for years 2005 – 2008.

Sales of PQR in N’000s

Year Quarter 1 Quarter 2 Quarter 3 Quarter 4
2005 22 35 82 37
2006 24 46 81 44
2007 25 40 87 49
2008 29 42 100 55

Required:

a. Calculate the trend in the above data using the Least Squares Method. (12 Marks)
b. Estimate the sales for each quarter using the trend line. (4 Marks)
c. Calculate the percentage variation for each quarter’s actual sales from the estimate obtained in (b) above. (4 Marks)

(Total: 20 Marks)

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QTB – May 2017 – L1 – SA – Q18 – Statistics

This question calculates the centered moving average for a specific year in a time series of cocoa production.

A ten-year record of cocoa production in a certain farm is tabulated as follows:

Year 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012
Production (tonnes) 42 52 41 48 64 67 77 66 73 89

Based on a 4-year moving total, the centered moving average for the year 2007 is:
A. 79.5
B. 69.5
C. 59.5
D. 49.5
E. 39.5

 

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QTB – May 2017 – L1 – SA – Q14 – Statistics

This question involves identifying the estimable components of a time series.

The TWO components of a Time Series which are usually estimable are:
A. Trend and Cyclic variation
B. Seasonal variation and Trend
C. Random movements and Trend
D. Seasonal variation and Random movements
E. Cyclic variation and Seasonal variation

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QTB – May 2016 – L1 – SB – Q6a – Data Collection Analysis

This question involves calculating moving averages and centered moving averages for quarterly sales data.

The quarterly sales figures of company ABC Plc. for 3 years are as recorded below:

Year Quarter 1 Quarter 2 Quarter 3 Quarter 4
Year 1 30 34 37 41
Year 2 45 49 54 57
Year 3 59 66 70 74

Required:
i. Calculate:

  • The moving averages.
    (9 marks)

ii. The centered moving average for Quarter 3, Year 1.
(1 mark)

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QTB – May 2016 – L1 – SA – Q17 – Statistics

Calculating the trend stock for a future month based on historical stock figures.

A company takes stock for 5 months in each year. The stock figures of materials for the most recent three years are as tabulated below:

Determine the trend stock for month 6.

A. 84

B. 85

C. 86

D. 87

E. 88

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QTB – May 2015 – L1 – SA – Q19 – Statistics

Identifying the components separated during the deseasonalisation of business data.

Deseasonalisation of business data is a process of separating two components of a time series which are:

A. Trend and cyclical variation
B. Irregular and cyclical variation
C. Trend and seasonal variation
D. Cyclical and seasonal variation
E. Seasonal and irregular variations

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You're reporting an error for "QTB – May 2015 – L1 – SA – Q19 – Statistics"

QTB – May 2015 – L1 – SA – Q14 – Statistics

Identifying types of variations present in time series data.

Which of the following represents the types of variations in time series analysis?

A. Trend and cyclical variation
B. Irregular and cyclical variation
C. Trend and seasonal variation
D. Cyclical and seasonal variation
E. Seasonal and irregular variations

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You're reporting an error for "QTB – May 2015 – L1 – SA – Q14 – Statistics"

QTB – May 2015 – L1 – SA – Q12 – Statistics

Identifying the correct term for the amount of time activities can be delayed in project management.

The amount of time during which a path of activities could be delayed without affecting the overall project duration is called:

A. Independent float
B. Total float
C. Free float
D. Excess time float
E. Average time float

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You're reporting an error for "QTB – May 2015 – L1 – SA – Q12 – Statistics"

QTB – May 2015 – L1 – SA – Q11 – Statistics

Identifying methods used to measure trends in time series data.

The following methods are used to measure the trend of a time series EXCEPT:

A. Semi-average
B. Moving average
C. Free-hand
D. Deseasonalisation
E. Least squares

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You're reporting an error for "QTB – May 2015 – L1 – SA – Q11 – Statistics"

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