© 2000 John Petroff 

Appendix 5B

Table T-5.33 shows the first 28 lines of spreadsheet cell entries with which the numbers in Table T-5.30 were obtained.

Table T-5.33

 

 A

 B

 C

 D

 E

 F

 G

 H

 I

 J

 K
 1  Year  Month

 Actual sales

 12 months total

 2 times12 months

 Centered 12 months

 Monthly ratios

 Average monthly ratios

 Adjusted seasonal indexes

 Seasonal indexes

 Adjusted sales
 2    Ave. =av(c3:c99) =av(d3:d99) =av(e3:e99) =av(f3:f99) =av(g3:g99) =av(h3:h99) =av(i3:i99) =av(j3:j99) =av(k3:k99)
 3  1995  January

 820

         T=sum(h3:h99)    =i15  =c3/j3
 4    February

 775

             =i16  =c4/j4
 5    March

 805

             =i17  =c5/j5
 6    April

 890

             =i18  =c6/j6
 7    May

 980

             =i19  =c7/j7
 8    June

 1150

=sum(c3:c14)            =i20  =c8/j8
 9    July

 1270

=sum(c4:c15) =d8+d9  =e9/24 =c9/f9      =i21  =c9/j9
 10    August

 1250

=sum(c5:c16) =d9+d10  =e10/24 =c10/f10      =i22  =c10/j10
 11    Sept

 1210

=sum(c6:c17) =d10+d11  =e11/24 =c11/f11      =i23  =c11/j11
 12    Oct

 950

=sum(c7:c18) =d11+d12  =e12/24 =c12/f12      =i24  =c12/j12
 13    Nov

 970

=sum(c8:c19) =d12+d13  =e13/24  =c13/f13      =i25  =c13/j13
 14    Dec

 1120

 =sum(c9:c20) =d13+d14  =e14/24  =c14/f14      =i26  =c14/j14
 15  1996  Jan

 840

=sum(c10:c21) =d14+d15  =e15/24  =c15/f15 =av(g15,g27,g39,g51) =h15*12/h3  =i15  =c15/j15
 16    Feb

 760

=sum(c11:c22) =d15+d16  =e16/24  =c16/f16 =av(g16,g28,g40,g52) =h16*12/h3  =i16  =c16/j16
 17    March

 790

=sum(c12:c23) =d16+d17  =e17/24  =c17/f17 =av(g17,g29,g41,g53) =h17*12/h3  =i17  =c17/j17
 18    April

 880

=sum(c13:c24) =d17+d18  =e18/24  =c18/f18 =av(g18,g30,g42,g54) =h18*12/h3  =i18  =c18/j18
 19    May

 960

=sum(c14:c25) =d18+d19  =e19/24  =c19/f19 =av(g19,g31,g43,g55) =h19*12/h3  =i19  =c19/j19
 20    June

 1170

=sum(c15:c26) =d19+d20  =e20/24  =c20/f20 =av(g20,g32,g44,g56) =h20*12/h3  =i20  =c20/j20
 21    July

 1290

=sum(c16:c27) =d20+d21  =e21/24  =c21/f21 =av(g21,g33,g45,g57) =h21*12/h3  =i21  =c21/j21
 22    August

 1300

=sum(c17:c28) =d21+d22  =e22/24  =c22/f22 =av(g22,g34,g46,g58) =h22*12/h3  =i22  =c22/j22
 23    Sept

 1260

=sum(c18:c29) =d22+d23  =e23/24  =c23/f23 =av(g23,g35,g47,g59) =h23*12/h3  =i23  =c23/j23
 24    Oct

 970

=sum(c19:c30) =d23+d24  =e24/24  =c24/f24 =av(g24,g36,g48,g60) =h24*12/h3  =i24  =c24/j24
 25    Nov

 1020

=sum(c20:c31) =d24+d25  =e25/24  =c25/f25 =av(g25,g37,g49,g61) =h25*12/h3  =i25  =c25/j25
 26    Dec

 1210

=sum(c21:c32) =d25+d26  =e26/24  =c26/f26 =av(g26,g38,g50,g62) =h26*12/h3  =i26  =c26/j26
 27  1997  January

 1050

=sum(c22:c33) =d26+d27  =e27/24  =c27/f27      =i15  =c27/j27
 28    February

 920

=sum(c23:c34) =d27+d28  =e28/24  =c28/f28      =i16  =c28/j28

Table T-5.34 below presents the calculation of forecasted values shown in Graph G-5.6 for the example of classical decomposition in Section F. The trend values T are calculated as

T = 1117 + 4.57*t

The forecasted values F are calculated as

F = T*S*C

Table T-5.34

Forecasted values with decomposition for data sample 1995 to 1999
and beyond sample for 2000

Year

Month

Time period

t

Trend values

T

Seasonal indexes

S

Cyclical indexes

C

Forecasted values

F

1995

January

-30

980

0.8934

0.986554014

864

February

-29

985

0.7907

0.988033401

770

March

-28

989

0.7419

0.996515221

731

April

-27

994

0.889

0.982313104

868

May

-26

998

0.9794

1.010815964

988

June

-25

1003

1.1334

1.035768295

1177

July

-24

1007

1.23

0.986554014

1222

August

-23

1012

1.21

0.988033401

1210

September

-22

1016

1.1866

0.996515221

1201

October

-21

1021

0.9057

0.982313104

908

November

-20

1026

0.9371

1.010815964

972

December

-19

1030

1.1028

1.035768295

1177

1996

Janaury 96

-18

1035

0.8934

0.986554014

912

February

-17

1039

0.7907

0.988033401

812

March

-16

1044

0.7419

0.996515221

772

April

-15

1048

0.889

0.982313104

915

May

-14

1053

0.9794

1.010815964

1042

June

-13

1057

1.1334

1.035768295

1241

July

-12

1062

1.23

0.986554014

1289

August

-11

1066

1.21

0.988033401

1274

September

-10

1071

1.1866

0.996515221

1266

October

-9

1076

0.9057

0.982313104

957

November

-8

1080

0.9371

1.010815964

1023

December

-7

1085

1.1028

1.035768295

1239

1997

January

-6

1089

0.8934

0.986554014

960

February

-5

1094

0.7907

0.988033401

855

March

-4

1098

0.7419

0.996515221

812

April

-3

1103

0.889

0.982313104

963

May

-2

1107

0.9794

1.010815964

1096

June

-1

1112

1.1334

1.035768295

1305

July

1

1121

1.23

0.986554014

1360

August

2

1126

1.21

0.988033401

1346

September

3

1130

1.1866

0.996515221

1336

October

4

1135

0.9057

0.982313104

1010

November

5

1139

0.9371

1.010815964

1079

December

6

1144

1.1028

1.035768295

1307

1998

January

7

1148

0.8934

0.986554014

1012

February

8

1153

0.7907

0.988033401

901

March

9

1157

0.7419

0.996515221

855

April

10

1162

0.889

0.982313104

1015

May

11

1166

0.9794

1.010815964

1154

June

12

1171

1.1334

1.035768295

1375

July

13

1175

1.23

0.986554014

1426

August

14

1180

1.21

0.988033401

1411

September

15

1185

1.1866

0.996515221

1401

October

16

1189

0.9057

0.982313104

1058

November

17

1194

0.9371

1.010815964

1131

December

18

1198

1.1028

1.035768295

1368

1999

January

19

1203

0.8934

0.986554014

1060

February

20

1207

0.7907

0.988033401

943

March

21

1212

0.7419

0.996515221

896

April

22

1216

0.889

0.982313104

1062

May

23

1221

0.9794

1.010815964

1209

June

24

1225

1.1334

1.035768295

1438

July

25

1230

1.23

0.986554014

1493

August

26

1235

1.21

0.988033401

1476

September

27

1239

1.1866

0.996515221

1465

October

28

1244

0.9057

0.982313104

1107

November

29

1248

0.9371

1.010815964

1182

December

30

1253

1.1028

1.035768295

1431

2000

January

31

1257

0.8934

1.035768295

1163

February

32

1262

0.7907

0.986554014

984

March

33

1266

0.7419

0.988033401

928

April

34

1271

0.889

0.996515221

1126

May

35

1275

0.9794

0.982313104

1227

June

36

1280

1.1334

1.010815964

1466

July

37

1285

1.23

1.035768295

1637

August

38

1289

1.21

0.986554014

1539

September

39

1294

1.1866

0.988033401

1517

October

40

1298

0.9057

0.996515221

1172

November

41

1303

0.9371

0.982313104

1199

December

42

1307

1.1028

1.010815964

1457

 

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Last modified: Jun/01/01
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