BEO1106 Business Statistics Assignment

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Reference no: EM132600035

BEO1106 Business Statistics - Victoria University

Case Study - Time Series and Index Numbers

The Average Weekly Earnings ($/Week) for all employees in Australia are provided for 2006 to 2009.

Year

AWE ($/Week)

2006

989

2007

1039

2008

1082

2009

1131

Task 1. Determine the three year moving average for 2007 and 2008.

Task 2. Determine the exponentially smoothed value (w = 0.4) for 2008.

Task 3. Forecast the 2012 AWE by applying the least squares trend estimate provided:

 

Coefficients

Standard Error

t Stat

P-value

Intercept

989.9

1.745

567.28

3.11E-06

Year

46.9

0.933

50.28

0.000395

Note: In 2006, X2006 = 0; in 2007, X2007 = 1; in 2008, X2008 = 2, etc.

Task 4. The table below shows the forecasted AWE for the four years using two different forecasting techniques: F1 and F2.

 

 

F1

F2

Year

AWE

                         ($/Week)                                                

Time Trend

Exp (W=0.8)

2006

989

990

989

2007

1039

1037

1029

2008

1082

1084

1071

2009

1131

1130

1119

Determine the Mean Absolute Deviation (MAD) for F1 and F2. Which of the two techniques, F1 or F2, would be the preferred technique?

Task 5. The mean weekly disposable household incomes (MDHI) for Victoria for selected years are presented in the table below:

Financial Year

MDHI ($)

1994-95

594

1999-2000

666

2005-06

805

2013-14

959

Using 1994-95 as the base year, determine the simple index for all other years in the table.

Reference no: EM132600035

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