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Consider the data on new orders for computers and electronic products and the M1

ID: 472567 • Letter: C

Question

Consider the data on new orders for computers and electronic products and the M1 money supply for the years 2011 through 2014.

1/Using the data for computer and electronic products, develop a two-period MA(2), four-period MA(4), and six-period MA(6) moving average forecasts

Year

Month

New Orders for Computers and Electronic Products

M-1 Money Supply

2011

1

19222

1855.6

2011

2

20727

1874.7

2011

3

24893

1892.0

2011

4

19375

1897.8

2011

5

20152

1934.3

2011

6

25075

1947.0

2011

7

18615

2001.5

2011

8

21289

2112.9

2011

9

27014

2126.0

2011

10

22179

2137.4

2011

11

20761

2172.0

2011

12

27818

2168.2

2012

1

19447

2202.3

2012

2

23043

2212.2

2012

3

26734

2228.7

2012

4

21897

2245.3

2012

5

22403

2251.0

2012

6

24942

2262.3

2012

7

19365

2314.6

2012

8

20240

2346.5

2012

9

25478

2383.6

2012

10

20790

2415.5

2012

11

20362

2423.2

2012

12

27841

2457.7

2013

1

17393

2467.6

2013

2

18725

2470.4

2013

3

22919

2474.8

2013

4

19560

2511.0

2013

5

20333

2522.0

2013

6

24619

2517.9

2013

7

18065

2545.6

2013

8

18487

2557.3

2013

9

24877

2578.8

2013

10

20410

2620.2

2013

11

20194

2622.2

2013

12

24955

2654.5

Year

Month

New Orders for Computers and Electronic Products

M-1 Money Supply

2011

1

19222

1855.6

2011

2

20727

1874.7

2011

3

24893

1892.0

2011

4

19375

1897.8

2011

5

20152

1934.3

2011

6

25075

1947.0

2011

7

18615

2001.5

2011

8

21289

2112.9

2011

9

27014

2126.0

2011

10

22179

2137.4

2011

11

20761

2172.0

2011

12

27818

2168.2

2012

1

19447

2202.3

2012

2

23043

2212.2

2012

3

26734

2228.7

2012

4

21897

2245.3

2012

5

22403

2251.0

2012

6

24942

2262.3

2012

7

19365

2314.6

2012

8

20240

2346.5

2012

9

25478

2383.6

2012

10

20790

2415.5

2012

11

20362

2423.2

2012

12

27841

2457.7

2013

1

17393

2467.6

2013

2

18725

2470.4

2013

3

22919

2474.8

2013

4

19560

2511.0

2013

5

20333

2522.0

2013

6

24619

2517.9

2013

7

18065

2545.6

2013

8

18487

2557.3

2013

9

24877

2578.8

2013

10

20410

2620.2

2013

11

20194

2622.2

2013

12

24955

2654.5

Explanation / Answer

All the moving averages are given in the table below:

2 period MA = sum of the latest 2 periods' order of computers and electronics/2

4 period MA = sum of the latest 4 periods' order of computers and electronics/4

6 period MA = sum of the latest 6 periods' order of computers and electronics/6

2 period MA for the 1st 2 periods will become the forecast for month 3 and so on for 4 period and 6 period forecasts.

Year Month New Orders for Computers and Electronic Products 2 period moving total 2 period MA forecast 4 period moving total 4 period MA forecast 6 period moving total 6 period MA forecast 2011 1 19,222.0 2011 2 20,727.0 39,949.0 2011 3 24,893.0 45,620.0 19,974.5 2011 4 19,375.0 44,268.0 22,810.0 84,217.0 2011 5 20,152.0 39,527.0 22,134.0 85,147.0 21,054.3 2011 6 25,075.0 45,227.0 19,763.5 89,495.0 21,286.8 129,444.0 2011 7 18,615.0 43,690.0 22,613.5 83,217.0 22,373.8 128,837.0 21,574.0 2011 8 21,289.0 39,904.0 21,845.0 85,131.0 20,804.3 129,399.0 21,472.8 2011 9 27,014.0 48,303.0 19,952.0 91,993.0 21,282.8 131,520.0 21,566.5 2011 10 22,179.0 49,193.0 24,151.5 89,097.0 22,998.3 134,324.0 21,920.0 2011 11 20,761.0 42,940.0 24,596.5 91,243.0 22,274.3 134,933.0 22,387.3 2011 12 27,818.0 48,579.0 21,470.0 97,772.0 22,810.8 137,676.0 22,488.8 2012 1 19,447.0 47,265.0 24,289.5 90,205.0 24,443.0 138,508.0 22,946.0 2012 2 23,043.0 42,490.0 23,632.5 91,069.0 22,551.3 140,262.0 23,084.7 2012 3 26,734.0 49,777.0 21,245.0 97,042.0 22,767.3 139,982.0 23,377.0 2012 4 21,897.0 48,631.0 24,888.5 91,121.0 24,260.5 139,700.0 23,330.3 2012 5 22,403.0 44,300.0 24,315.5 94,077.0 22,780.3 141,342.0 23,283.3 2012 6 24,942.0 47,345.0 22,150.0 95,976.0 23,519.3 138,466.0 23,557.0 2012 7 19,365.0 44,307.0 23,672.5 88,607.0 23,994.0 138,384.0 23,077.7 2012 8 20,240.0 39,605.0 22,153.5 86,950.0 22,151.8 135,581.0 23,064.0 2012 9 25,478.0 45,718.0 19,802.5 90,025.0 21,737.5 134,325.0 22,596.8 2012 10 20,790.0 46,268.0 22,859.0 85,873.0 22,506.3 133,218.0 22,387.5 2012 11 20,362.0 41,152.0 23,134.0 86,870.0 21,468.3 131,177.0 22,203.0 2012 12 27,841.0 48,203.0 20,576.0 94,471.0 21,717.5 134,076.0 21,862.8 2013 1 17,393.0 45,234.0 24,101.5 86,386.0 23,617.8 132,104.0 22,346.0 2013 2 18,725.0 36,118.0 22,617.0 84,321.0 21,596.5 130,589.0 22,017.3 2013 3 22,919.0 41,644.0 18,059.0 86,878.0 21,080.3 128,030.0 21,764.8 2013 4 19,560.0 42,479.0 20,822.0 78,597.0 21,719.5 126,800.0 21,338.3 2013 5 20,333.0 39,893.0 21,239.5 81,537.0 19,649.3 126,771.0 21,133.3 2013 6 24,619.0 44,952.0 19,946.5 87,431.0 20,384.3 123,549.0 21,128.5 2013 7 18,065.0 42,684.0 22,476.0 82,577.0 21,857.8 124,221.0 20,591.5 2013 8 18,487.0 36,552.0 21,342.0 81,504.0 20,644.3 123,983.0 20,703.5 2013 9 24,877.0 43,364.0 18,276.0 86,048.0 20,376.0 125,941.0 20,663.8 2013 10 20,410.0 45,287.0 21,682.0 81,839.0 21,512.0 126,791.0 20,990.2 2013 11 20,194.0 40,604.0 22,643.5 83,968.0 20,459.8 126,652.0 21,131.8 2013 12 24,955.0 45,149.0 20,302.0 90,436.0 20,992.0 126,988.0 21,108.7 2014 1 22,574.5 22,609.0 21,164.7