Multiple Linear Regression - Estimated Regression Equation
Flour_1kg[t] = -0.167816493172611 + 2.32198001276244Speciality_bread_400g[t] -0.983969033102864Speciality_bread_800g[t] + 0.295056935247311Brown_bread_800g[t] + 0.787948084539734Multigrain_bread_800g[t] -0.513591374168463Currant_1kg[t] + 0.123732441849727Roll_1kg[t] -0.377708674631998Rice_tart_1kg[t] -1.39521713151808Mocha_tart[t] + 0.380310602175765Fruit_tart[t] + 0.361470561834852Eclair[t] + 0.0601180354294041Biscuits_1kg[t] -0.105379325590512Penny_wafer_200g[t] + 0.155560824711729Spekulatius_1kg[t] + 0.259238047202366Garibaldi[t] + 0.136472423028192biscuit_1kg[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)-0.1678164931726110.38666-0.4340.665760.33288
Speciality_bread_400g2.321980012762440.5858593.96340.0001919.6e-05
Speciality_bread_800g-0.9839690331028640.673738-1.46050.1491320.074566
Brown_bread_800g0.2950569352473110.6638960.44440.6582530.329126
Multigrain_bread_800g0.7879480845397340.3595542.19150.0321230.016062
Currant_1kg-0.5135913741684630.195969-2.62080.0109820.005491
Roll_1kg0.1237324418497270.1059211.16820.2471440.123572
Rice_tart_1kg-0.3777086746319980.10712-3.5260.0007930.000396
Mocha_tart-1.395217131518080.4792-2.91160.0049680.002484
Fruit_tart0.3803106021757650.5769720.65910.5122020.256101
Eclair0.3614705618348520.6807920.5310.5973160.298658
Biscuits_1kg0.06011803542940410.0401081.49890.1388910.069446
Penny_wafer_200g-0.1053793255905120.174754-0.6030.5486630.274331
Spekulatius_1kg0.1555608247117290.0608462.55660.0129910.006495
Garibaldi0.2592380472023660.1444241.7950.0774550.038727
biscuit_1kg0.1364724230281920.0901971.51310.1352660.067633


Multiple Linear Regression - Regression Statistics
Multiple R0.991984278269884
R-squared0.984032808334623
Adjusted R-squared0.980231096033343
F-TEST (value)258.839367724717
F-TEST (DF numerator)15
F-TEST (DF denominator)63
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation0.0229280256592003
Sum Squared Residuals0.0331187447196235


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
10.980.9764304933405440.00356950665945584
20.981.00079742295365-0.0207974229536531
30.980.993627294957932-0.0136272949579317
40.971.00294916477408-0.0329491647740755
51.041.03264371009750.00735628990249682
61.051.06078704542638-0.0107870454263772
71.071.07896476977959-0.00896476977958917
81.061.055471646678720.00452835332128086
91.071.033968690561070.0360313094389288
101.031.024928960399930.00507103960007143
111.021.01085659904520.00914340095480161
121.021.018153647889150.00184635211085289
131.010.9964578514579790.0135421485420207
141.011.005511957356590.0044880426434056
1510.9982524217604350.0017475782395654
1610.9839499665555620.0160500334444376
1710.981631693350090.0183683066499101
180.980.9156219071048740.0643780928951264
190.870.892997294549152-0.0229972945491525
200.820.842823125352562-0.0228231253525625
210.80.819952973083432-0.0199529730834322
220.810.833220260019581-0.0232202600195805
230.810.810953793983986-0.000953793983986082
240.810.813482310611558-0.00348231061155783
250.810.785685742771570.0243142572284303
260.810.7696064020315530.0403935979684476
270.790.798018151352155-0.0080181513521552
280.780.765788328053470.0142116719465296
290.780.788184143715676-0.00818414371567587
300.770.81425217038757-0.0442521703875697
310.780.793090285279052-0.0130902852790521
320.770.786719708430937-0.0167197084309368
330.780.785598730310729-0.00559873031072859
340.790.796435672595028-0.00643567259502831
350.790.7861423003241170.00385769967588307
360.790.7877521358206920.0022478641793075
370.790.794003991976535-0.00400399197653542
380.790.7899351160732896.48839267112962e-05
390.80.7861333976855680.0138666023144323
400.80.783753392989570.0162466070104304
410.80.811326702153558-0.0113267021535578
420.80.805138833510566-0.00513883351056582
430.810.824323083107691-0.0143230831076908
440.80.831748729388519-0.0317487293885191
450.820.827703317994811-0.00770331799481057
460.850.8227060901666670.0272939098333332
470.850.8393001606709620.0106998393290376
480.860.8257644989309760.0342355010690243
490.850.8292677820358340.0207322179641658
500.830.8227376782244430.00726232177555671
510.810.816304777349822-0.00630477734982227
520.820.832389559580764-0.0123895595807638
530.820.8009789507804240.0190210492195762
540.780.7772372348711560.00276276512884362
550.780.7683304685307850.0116695314692146
560.730.731239827961827-0.00123982796182652
570.680.712412386954701-0.032412386954701
580.650.722582244666903-0.0725822446669027
590.620.6084765584252890.0115234415747107
600.60.5820314715243040.017968528475696
610.60.5879432574370570.0120567425629432
620.590.627663492213818-0.0376634922138183
630.60.5991830398447910.000816960155208902
640.60.5984070899272410.00159291007275903
650.60.5688786102332160.0311213897667838
660.590.593216509527491-0.00321650952749146
670.580.600980768079189-0.0209807680791886
680.560.5379662143690120.0220337856309876
690.550.551263982235576-0.00126398223557584
700.540.54214262360008-0.00214262360007992
710.550.5497978093178740.000202190682126423
720.550.5132697568529860.0367302431470138
730.540.547687618485163-0.00768761848516342
740.540.549327280807979-0.00932728080797943
750.540.540650637002601-0.00065063700260054
760.530.545480400112639-0.0154804001126386
770.530.53693148761559-0.0069314876155896
780.530.534946851800202-0.00494685180020189
790.530.5067275428204390.023272457179561


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
190.7677743985358330.4644512029283350.232225601464167
200.7973988508672570.4052022982654850.202601149132743
210.7094920165760740.5810159668478510.290507983423926
220.6991904210167350.6016191579665310.300809578983265
230.6745781792162930.6508436415674150.325421820783707
240.575844742036530.8483105159269410.42415525796347
250.5448206584419910.9103586831160180.455179341558009
260.5834201431794720.8331597136410550.416579856820528
270.7265885094910910.5468229810178190.273411490508909
280.6492488272433320.7015023455133360.350751172756668
290.7619576355687750.4760847288624510.238042364431225
300.7688150877911270.4623698244177450.231184912208873
310.7126181513765510.5747636972468980.287381848623449
320.6451496655778530.7097006688442940.354850334422147
330.6449591053856820.7100817892286360.355040894614318
340.6071471249073480.7857057501853040.392852875092652
350.6203093582352330.7593812835295350.379690641764767
360.6561567108241680.6876865783516640.343843289175832
370.6255533242301290.7488933515397420.374446675769871
380.6671933899535860.6656132200928270.332806610046414
390.717220361272640.5655592774547190.28277963872736
400.6739693270760490.6520613458479020.326030672923951
410.6365423187260720.7269153625478560.363457681273928
420.6048514955474350.790297008905130.395148504452565
430.5721317656965110.8557364686069780.427868234303489
440.7051510612383150.589697877523370.294848938761685
450.9292482188687860.1415035622624270.0707517811312136
460.9495804186860860.1008391626278280.0504195813139138
470.9567801130246010.0864397739507990.0432198869753995
480.9770948418460520.0458103163078950.0229051581539475
490.9852401819313320.02951963613733550.0147598180686678
500.9842382182282140.03152356354357130.0157617817717857
510.9876941094625580.0246117810748850.0123058905374425
520.9954261317358710.009147736528257730.00457386826412886
530.990500465602870.01899906879425990.00949953439712994
540.9904865391119830.01902692177603450.00951346088801724
550.99064180749040.01871638501919930.00935819250959965
560.9901356798900080.01972864021998450.00986432010999226
570.9847521169645130.0304957660709730.0152478830354865
580.9695269227793820.06094615444123510.0304730772206176
590.9464816311986050.1070367376027890.0535183688013947
600.9443671655374450.111265668925110.0556328344625551


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level10.0238095238095238NOK
5% type I error level100.238095238095238NOK
10% type I error level120.285714285714286NOK