Multiple Linear Regression - Estimated Regression Equation
A[t] = -6.25467802882214 + 0.27196614459376B[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)-6.254678028822144.493483-1.39190.1648030.082402
B0.271966144593760.01440418.88100


Multiple Linear Regression - Regression Statistics
Multiple R0.706360067065042
R-squared0.498944544344131
Adjusted R-squared0.497544948099282
F-TEST (value)356.49177123795
F-TEST (DF numerator)1
F-TEST (DF denominator)358
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation13.362705175964
Sum Squared Residuals63925.1564838652


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
187.2863.096688842586624.1833111574134
287.2869.950235686349517.3297643136505
387.0975.307968734846611.7820312651535
486.9285.99623821738130.923761782618669
587.5995.5150532781629-7.92505327816294
690.72100.763999868823-10.0439998688225
790.6999.5945454470694-8.90454544706935
890.397.5547993626162-7.25479936261615
989.5595.7870194227567-6.23701942275671
1088.9494.1008293262754-5.16082932627539
1188.4190.9460220489878-2.53602204898777
1287.8289.5046014826409-1.68460148264086
1387.0787.9815910729158-0.911591072915793
1486.8287.0025129523782-0.18251295237825
1586.486.29540097643450.104599023565529
1686.0283.03180724130942.98819275869064
1785.6681.5631900605034.09680993949696
1885.3279.22428121699676.09571878300329
198577.75566403619047.24433596380961
2084.6773.703368481743410.9666315182566
2183.9471.418852867155812.5211471328442
2282.8370.222201830943212.6077981690568
2381.9569.977432300808911.9725676991911
2481.1969.569483083918211.6205169160818
2580.4868.40002866216512.079971337835
2678.8667.284967469330611.5750325306694
2769.4765.38120445717434.0887955428257
2868.7764.42932295109614.34067704890386
2970.0663.9125872763686.147412723632
3073.9565.19082815595878.75917184404133
3175.871.17408333702144.6259166629786
3277.7978.4083827832154-0.618382783215421
3381.5781.3456171448280.224382855171951
3483.0782.67825125333750.391748746662532
3584.3483.84770567509060.49229432490937
3685.184.39163796427820.70836203572184
3785.2581.15524084361244.0947591563876
3884.2682.67825125333751.58174874666254
3983.6380.77448824118112.85551175881886
4086.4479.33306767483427.10693232516579
4185.379.87699996402175.42300003597827
4284.179.25147783145614.84852216854392
4383.3681.1280442291532.23195577084697
4482.4880.28494918091242.19505081908764
4581.5877.2933215903814.28667840961899
4680.4775.68872133727784.78127866272217
4779.3471.93558854188397.40441145811608
4882.1369.270320324865112.8596796751349
4981.6968.372832047705713.3171679522943
5080.764.13016019204316.569839807957
5179.8862.634346396777317.2456536032227
5279.1662.008824264211717.1511757357883
5378.3861.301712288267917.0782877117321
5477.4261.60087504732115.819124952679
5576.4760.676190155702315.7938098442977
5675.4660.241044324352215.2189556756478
5774.4859.996274794217914.4837252057822
5878.2760.105061252055318.1649387479446
5980.759.234769589355321.4652304106447
6079.9161.682464890699218.2275351093008
6178.7561.192925830430417.5570741695696
6277.7864.293339878799313.4866601212007
6381.1464.592502637852416.5474973621476
6481.0864.674092481230516.4059075187695
6580.0364.810075553527415.2199244464726
6678.9164.320536493258614.5894635067414
6778.0163.531834673936714.4781653260633
6876.963.885390661908613.0146093380914
6975.9763.504638059477412.4653619405226
7081.9362.879115926911719.0508840730883
7180.2762.634346396777317.6356536032227
7278.6762.770329469074215.8996705309258
7377.4263.232671914883614.1873280851164
7476.1663.667817746233612.4921822537664
7574.763.722210975152410.9777890248476
7676.3962.607149782317913.7828502176821
7776.0462.498363324480513.5416366755196
7874.6562.280790408805412.3692095911946
7973.2961.927234420833511.3627655791665
8071.7962.33518363772429.45481636227582
8174.3961.736858119617912.6531418803821
8274.9162.008824264211712.9011757357883
8374.5462.661543011236711.8784569887633
8473.0862.063217493130411.0167825068696
8572.7563.2598685293439.49013147065703
8671.3264.75568232460876.56431767539133
8770.3864.15735680650246.22264319349762
8870.3564.42932295109615.92067704890386
8970.0164.7828789390685.22712106093198
9069.3665.73476044514623.62523955485381
9167.7766.38747919217121.38252080782877
9269.2666.19710289095563.06289710904442
9369.866.55065887892753.24934112107252
9468.3866.79542840906191.58457159093813
9567.6266.49626565000871.12373434999128
9668.3966.76823179460251.62176820539752
9766.9566.76823179460250.181768205397519
9865.2167.31216408379-2.10216408379001
9966.6467.4209505416275-0.780950541627501
10063.4567.2033776259525-3.7533776259525
10160.6666.9858047102775-6.3258047102775
10262.3467.1217877825744-4.78178778257437
10360.3267.2033776259525-6.88337762595251
10458.6465.7891536740649-7.14915367406494
10560.4665.4627943005524-5.00279430055243
10658.5965.7619570596056-7.17195705960557
10761.8765.4627943005524-3.59279430055243
10861.8563.3414583727211-1.4914583727211
10967.4468.8623711079744-1.42237110797444
11077.0691.6803306393909-14.6203306393909
11191.7497.2284399891036-5.48843998910364
11293.1595.3790702058661-2.22907020586606
11394.1594.3184022419504-0.168402241950398
11493.1193.4481105792504-0.338110579250378
11591.5191.46275772371590.0472422762840832
11689.9687.79121477170022.16878522829983
11788.1682.46067833766245.69932166233755
11886.9881.99833589185314.98166410814694
11988.0382.97741401239065.0525859876094
12086.2482.81423432563433.42576567436565
12184.6581.97113927739372.67886072260633
12283.2379.8226067351033.40739326489703
12381.778.29959632537793.40040367462209
12480.2575.74311456619664.50688543380343
12578.873.07784634917775.72215365082228
12677.5172.72429036120584.78570963879418
12776.271.90839192742454.29160807257546
12875.0469.27032032486515.76967967513493
1297470.33098828878073.66901171121925
13075.4972.07157161418083.41842838581919
13177.1468.80797787905578.33202212094431
13276.1567.9648828308158.18511716918498
13376.2770.7117408912125.55825910878799
13478.1970.79333073459017.39666926540986
13576.4969.02555079473077.4644492052693
13677.3171.11969010810266.19030989189735
13776.6570.63015104783396.01984895216613
13874.9970.22220183094324.76779816905676
13973.5171.90839192742451.60160807257546
14072.0770.73893750567141.3310624943286
14170.5970.9837070358058-0.393707035805765
14271.9671.39165625269640.568343747303585
14376.2972.39793098769333.89206901230669
14474.8673.29541926485271.56458073514727
14574.9374.35608722876840.573912771231617
14671.976.7493893011935-4.84938930119348
14771.0176.3958333132216-5.38583331322159
14877.4778.4627760121342-0.992776012134178
14975.7879.7682135061842-3.98821350618423
15076.679.8769999640217-3.27699996402173
15176.0781.4544036026655-5.38440360266555
15274.5779.9857864218592-5.41578642185925
15373.0278.0004335663248-4.98043356632479
15472.6576.3686366987622-3.71863669876222
15573.1672.69709374674650.462906253253536
15671.5373.6217786383652-2.09177863836524
15769.7873.0778463491777-3.29784634917772
15867.9874.3832838432278-6.40328384322777
15969.9672.370734373234-2.41073437323396
16072.1672.2075546864777-0.0475546864776925
16170.4773.6489752528246-3.17897525282462
16268.8674.7096432167403-5.84964321674028
16367.3776.8037825301122-9.43378253011223
16465.8776.0694739397091-10.1994739397091
16572.1676.0150807107903-3.85508071079034
16671.3476.1510637830872-4.81106378308721
16769.9373.8393515540402-3.90935155404024
16868.4473.7305650962028-5.29056509620276
16967.1673.8393515540402-6.67935155404026
17066.0174.546463529984-8.53646352998403
17167.2572.4523242166121-5.20232421661207
17270.9173.2682226503933-2.35822265039335
17369.7572.0443749997214-2.29437499972143
17468.5971.6908190117496-3.10081901174955
17567.4870.0318255297276-2.5518255297276
17666.3167.8288997585181-1.51889975851814
17764.8166.9586080958181-2.14860809581811
17866.5867.3393606982494-0.759360698249388
17965.9766.44187242109-0.471872421089975
18064.765.1364349270399-0.436434927039919
18164.766.3058893487931-1.60588934879309
18260.9466.8498216379806-5.90982163798062
18359.0865.2996146137962-6.21961461379618
18458.4264.782878939068-6.36287893906803
18557.7766.0883164331181-8.31831643311808
18657.1165.1364349270399-8.02643492703992
18753.3165.8707435174431-12.5607435174431
18849.9664.8100755535274-14.8500755535274
18949.462.7431328546148-13.3431328546148
19048.8461.5192852039429-12.6792852039429
19148.358.7724271435459-10.4724271435459
19247.7458.0381185531428-10.2981185531428
19347.2457.7117591796303-10.4717591796303
19446.7660.4314206255679-13.6714206255679
19546.2960.7033867701616-14.4133867701616
19648.961.1113359870523-12.2113359870523
19749.2362.1176107220492-12.8876107220492
19848.5362.6343463967773-14.1043463967773
19948.0363.042295613668-15.012295613668
20054.3461.7368581196179-7.39685811961791
20153.7961.5464818184023-7.75648181840229
20253.2459.425145890571-6.18514589057095
20352.9659.9146849508397-6.95468495083972
20452.1761.1929258304304-9.0229258304304
20551.762.5527565533992-10.8527565533992
20658.5562.5255599389398-3.97555993893983
20778.262.144807336508616.0551926634914
20877.0362.172003950967914.8579960490321
20976.1962.688739625696113.5012603743039
21077.1564.402126336636812.7478736633632
21175.8784.6092108799532-8.73921087995316
21295.47115.586154749182-20.1161547491825
213109.67114.987829231076-5.31782923107619
214112.28114.770256315401-2.49025631540118
215112.01115.640547978101-3.63054797810121
216107.93112.920886532164-4.9908865321636
217105.96113.356032363514-7.39603236351364
218105.06108.895787592176-3.83578759217594
219102.98105.469014170295-2.48901417029457
220102.2104.81629542327-2.61629542326954
221105.23104.353952977460.876047022539852
222101.85104.136380061785-2.28638006178515
22399.89103.266088399085-3.37608839908511
22496.23103.91880714611-7.68880714611014
22594.76102.422993350844-7.66299335084446
22691.5198.8602368566662-7.35023685666619
22791.6397.473209519238-5.84320951923802
22891.5495.7870194227567-4.2470194227567
22985.2391.0276118923659-5.7976118923659
23087.8391.3811678803378-3.55116788033779
23187.3890.2933033019628-2.91330330196275
23284.4489.6677811693971-5.2277811693971
23385.1987.4104621692689-2.22046216926889
23484.0387.2472824825126-3.21728248251264
23586.7385.66987884386881.06012115613118
236102.5285.941844988462616.5781550115374
237104.4584.391637964278120.0583620357218
238106.9884.690800723331322.2891992766687
239107.0283.031807241309423.9881927586906
24099.2683.684525988334415.5754740116656
24194.4583.494149687118710.9558503128813
242113.4483.929295518468829.5107044815312
243157.3389.259831952506568.0701680474936
244147.3899.648938675988147.7310613240119
245171.89105.49621078475466.393789215246
246171.95114.17193079729557.7780692027051
247132.71119.6112536891713.0987463108299
248126.02120.7263148820055.29368511799547
249121.18119.3120909301171.86790906988303
250115.45113.1928526767572.25714732324263
251110.48110.772353989873-0.292353989872902
252117.85106.91043473664210.9395652633585
253117.63103.21169517016614.4183048298336
254124.65101.79747121827922.8525287817212
255109.59103.4292680858416.16073191415863
256111.27101.4167186158489.85328138415245
25799.7899.21379284463810.566207155361911
25898.2196.71170431437551.4982956856245
25999.296.30375509748492.89624490251515
26097.9794.48158192870663.48841807129335
26189.5592.1970663141191-2.64706631411907
26287.9189.0150624223721-1.10506242237208
26393.3488.44393351872524.89606648127483
26494.4287.46485539818776.95514460181235
26593.287.16569263913456.0343073608655
26690.2986.97531633791893.31468366208113
26791.4688.28075383196893.17924616803106
26889.9888.00878768737521.97121231262483
26988.3588.7974895066971-0.447489506697073
27088.4186.78494003670321.62505996329675
27182.4486.7577434222439-4.31774342224387
27279.8986.9753163379189-7.08531633791888
27375.6986.0234348318407-10.3334348318407
27475.6688.4439335187252-12.7839335187252
27584.584.5004244221157-0.000424422115651925
27696.7384.772390566709411.9576094332906
27787.4890.021337157369-2.54133715736899
27882.3993.7472733383035-11.3572733383035
27983.4892.550622302091-9.07062230209096
28079.3191.2179881935815-11.9079881935815
28178.1689.7765676272346-11.6165676272346
28272.7787.056906181297-14.286906181297
28372.4587.4648553981877-15.0148553981876
28468.4687.4104621692689-18.9504621692689
28567.6284.5548176510344-16.9348176510344
28668.7683.9564921329281-15.1964921329281
28770.0781.9439426629343-11.8739426629343
28868.5581.1008476146936-12.5508476146936
28965.381.4272069882062-16.1272069882062
29058.9681.2368306869905-22.2768306869905
29159.1780.910471313478-21.740471313478
29262.3778.8163320001061-16.4463320001061
29366.2877.9732369518654-11.6932369518654
29455.6279.5778372049686-23.9578372049686
29555.2377.9732369518654-22.7432369518654
29655.8576.5862096144372-20.7362096144372
29756.7576.0150807107903-19.2650807107903
29850.8975.7431145661966-24.8531145661966
29953.8875.0088059757934-21.1288059757934
30052.9572.9690598913402-20.0190598913402
30155.0873.5945820239059-18.5145820239059
30253.6173.8665481684996-20.2565481684996
30358.7871.5004427105339-12.7204427105339
30461.8574.6824466022809-12.8324466022809
30555.9175.6343281083591-19.7243281083591
30653.3273.6489752528246-20.3289752528246
30746.4174.7096432167403-28.2996432167403
30844.5773.4042057226902-28.8342057226902
3095073.1866328070152-23.1866328070152
3105071.8539986985058-21.8539986985058
31153.3672.1259648430996-18.7659648430996
31246.2370.929313806887-24.699313806887
31350.4575.3079687348466-24.8579687348465
31449.0773.2682226503933-24.1982226503933
31545.8573.5129921805277-27.6629921805277
31648.4575.5527382649809-27.1027382649809
31749.9673.6217786383652-23.6617786383652
31846.5373.458598951609-26.928598951609
31950.5173.8121549395809-23.3021549395809
32047.5873.1866328070152-25.6066328070152
32148.0573.1322395780965-25.0822395780965
32246.8470.5757578189151-23.7357578189151
32347.6769.3247135537838-21.6547135537838
32449.1671.9355885418839-22.7755885418839
32555.5472.3979309876933-16.8579309876933
32655.8271.4188528671558-15.5988528671558
32758.2273.4857955660684-15.2657955660684
32856.1972.8330768190433-16.6430768190433
32957.7770.7389375056714-12.9689375056714
33063.1968.5360117344619-5.34601173446193
33154.7672.0171783852621-17.2571783852621
33255.7472.0171783852621-16.2771783852621
33362.5471.9083919274245-9.36839192742455
33461.3970.9837070358058-9.59370703580577
33569.669.29751693932450.302483060675537
33679.2369.24312371040579.98687628959429
3378076.66779945781533.33220054218465
33893.6873.703368481743419.9766315182566
339107.6375.579934879440332.0500651205597
340100.1881.862352819556218.3176471804438
34197.384.282851506440613.0171484935594
34290.4586.64895696440643.80104303559364
34380.6484.4188345787375-3.77883457873752
34480.5888.4439335187252-7.86393351872518
34575.8287.492052012647-11.672052012647
34685.5987.492052012647-1.90205201264701
34789.3583.30377338590316.04622661409688
34889.4281.72636974725937.6936302527407
349104.7381.644779903881223.0852200961188
35095.3280.067376265237415.2526237347626
35189.2778.408382783215410.8616172167846
35290.4478.408382783215412.0316172167846
35386.9778.40838278321548.56161721678457
35479.9878.40838278321541.57161721678458
35581.2278.40838278321542.81161721678457
35687.3578.40838278321548.94161721678457
35783.6478.40838278321545.23161721678457
35882.2278.40838278321543.81161721678457
35994.478.408382783215415.9916172167846
360102.1878.408382783215423.7716172167846


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
51.28836505591764e-052.57673011183529e-050.999987116349441
60.0001415678171214860.0002831356342429710.999858432182879
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3300.7032160274895680.5935679450208640.296783972510432
3310.8037615551316840.3924768897366330.196238444868316
3320.8991487237353310.2017025525293380.100851276264669
3330.9379021914590640.1241956170818720.0620978085409359
3340.978918689360140.04216262127972080.0210813106398604
3350.9908893291175920.01822134176481510.00911067088240756
3360.9937260931808810.01254781363823830.00627390681911914
3370.9948418800284510.0103162399430980.005158119971549
3380.9917857598266060.01642848034678840.00821424017339421
3390.9958038474493370.008392305101326690.00419615255066335
3400.9966798137352580.006640372529484840.00332018626474242
3410.9970241231100370.00595175377992670.00297587688996335
3420.9955943350887270.008811329822546730.00440566491127337
3430.9929279205994640.01414415880107280.0070720794005364
3440.9878964946304240.02420701073915110.0121035053695756
3450.9907957836608550.01840843267829010.00920421633914503
3460.9906649276418740.01867014471625130.00933507235812567
3470.9900564178582420.01988716428351660.0099435821417583
3480.9930384781271420.0139230437457160.00696152187285801
3490.9854608651556620.02907826968867530.0145391348443376
3500.9700430948514080.05991381029718440.0299569051485922
3510.9418079748211390.1163840503577220.0581920251788612
3520.8962383227439780.2075233545120450.103761677256022
3530.81487178859740.3702564228052010.1851282114026
3540.7546416559245980.4907166881508040.245358344075402
3550.6720873079961690.6558253840076620.327912692003831


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level2580.735042735042735NOK
5% type I error level2910.829059829059829NOK
10% type I error level3080.877492877492878NOK