Module 15 Examples

 

Three point moving average forecast

 

 

 

Value

3 point moving average calculation

3 point moving average

3 point forecast

error Calculation

error

1996

Oct

2000

 

 

 

 

 

 

Nov

1350

1767

 

 

 

 

Dec

1950

1758

 

 

 

1997

Jan

1975

2342

1767

1975-1767

208

 

Feb

3100

2275

1758

3100-1758

1342

 

Mar

1750

2133

2342

1750-2342

-592

 

Apr

1550

1533

2275

1550-2275

-725

 

May

1300

1682

2133

1300-2133

-833

 

Jun

2200

2092

1533

2200-1533

667

 

Jul

2775

2442

1682

2775-1682

1092

 

Aug

2350

 

 

2092

2350-2092

258

 

 

 

Exponential smoothing ES Forecast

 

 

Value

Exponential Smoothing calculation

Exponential Smoothing

 

Exponential Smoothing Forecast

error Calculation

error

1996

Oct

2000

 

 

 

 

 

 

Nov

1350

.9 x2000 + .1 x1350

1935

 

 

 

 

Dec

1950

.9 x1935 + .1 x1950

1937

 

 

 

1997

Jan

1975

.9 x1937 + .1 x1975

1941

1937

1975-1937

38

 

Feb

3100

.9 x1941 + .1 x3100

2057

1941

3100-1941

1159

 

Mar

1750

.9 x2057 + .1 x1750

2026

2057

1750-2057

-307

 

Apr

1550

.9 x2026 + .1 x1550

1978

2026

1550-2026

-476

 

May

1300

.9 x1975 + .1 x1300

1910

1978

1300-1978

-678

 

Jun

2200

.9 x1910 + .1 x2200

1939

1910

2200-1910

290

 

Jul

2775

.9 x1939 + .1 x2775

2023

1939

2775-1939

836

 

Aug

2350

.9 x2023 + .1 x2350

2056

2023

2350-2023

327

 

MSE

 

Calculate the MSE for both advise which is the better forecast and advise on September Forecast

 

 

Exponential Smoothing MSE as lower number indicating better results September would be 2056