Multiple Linear Regression - Estimated Regression Equation
USA[t] = + 135.650154209725 + 1.88127975922978Colombia[t] -0.0365024424003371Q1[t] + 0.515883279331436Q2[t] -0.328110200415450Q3[t] + 0.148431456768387t + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)135.6501542097258.19800116.546700
Colombia1.881279759229780.08742521.518900
Q1-0.03650244240033714.649678-0.00790.9937410.49687
Q20.5158832793314364.6497010.11090.9117190.45586
Q3-0.3281102004154504.649445-0.07060.943780.47189
t0.1484314567683870.0158379.372500


Multiple Linear Regression - Regression Statistics
Multiple R0.77509837506724
R-squared0.600777491031876
Adjusted R-squared0.595138755029502
F-TEST (value)106.544709803557
F-TEST (DF numerator)5
F-TEST (DF denominator)354
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation31.1890836696366
Sum Squared Residuals344356.664813663


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
1255299.960180609669-44.9601806096686
2280.2300.660997788169-20.460997788169
3299.9299.6079926109370.292007389063275
4339.2299.76471670905139.4352832909485
5374.2301.13710316210373.0628968378965
6393.5307.72632598699385.7736740130071
7389.2306.97432557123882.2256744287625
8381.7306.71716812232274.9828318776783
9375.2305.41813731726769.7818626827326
10369304.97137384263764.0286261573626
11357.4303.27873354726754.1212664527329
12352.1302.64532014650549.4546798534947
13346.5301.34628934145145.1537106585489
14342.9301.57678658014441.3232134198562
15340.3300.09108705828940.2089129417112
16328.3299.85274240696528.4472575930347
17322.9299.28741070801123.6125892919894
18314.3299.34859276837314.9514072316274
19308.9298.05102122244110.8489787775593
20294297.906740559079-3.90674055907865
21285.6296.645335349209-11.0453353492089
22281.2295.257931994964-14.0579319949641
23280.3292.906843783863-12.6068437838633
24278.8291.953612824033-13.1536128240325
25274.5290.729833209347-16.2298332093475
26270.4288.382977177895-17.9829771778954
27263.4270.022198215749-6.62219821574922
28259.9269.181844041472-9.2818440414722
29258271.720623945247-13.7206239452467
30262.7279.739619387151-17.0396193871507
31284.7282.5244249187472.17557508125273
32311.3286.74471329679824.5552867032016
33322.1293.96787980105528.132120198945
34327297.490616618429.5093833816002
35331.3299.18427988964332.1157201103568
36333.3301.09059416384232.2094058361584
37321.4301.48471514209419.9152848579058
38327300.32306535895726.6769346410432
39320298.44229708766421.5577029123364
40314.7304.20523486828310.4947651317169
41316.7302.17250495712914.5274950428708
42314.4300.61578642455413.7842135754464
43321.3298.52807737974522.7719226202549
44318.2297.34909284880720.8509071511933
45307.2295.76787007986811.4321299201320
46301.3294.3804667256236.91953327437697
47287.5291.559058574715-4.0590585747149
48277.7297.28437076015-19.5843707601498
49274.4296.568536680457-22.1685366804568
50258.8295.406886897319-36.6068868973194
51253.3293.168675471773-39.8686754717725
52251292.290695702311-41.2906957023109
53248.4290.93522650448-42.5352265044797
54249.5289.830015114119-40.3300151141193
55246.1287.347237319872-41.2472373198725
56244.5285.923686420234-41.4236864202343
57243.6284.191961270557-40.5919612705571
58244292.022828736538-48.0228287365382
59240.8295.898776528488-55.098776528488
60249.8294.889107175880-45.0891071758803
61248292.818751669542-44.8187516695418
62259.4291.694727481589-32.2947274815891
63260.5297.320265449623-36.8202654496227
64260.8297.683930321253-36.8839303212527
65261.3295.820515588430-34.5205155884295
66259.5294.414299436592-34.9142994365923
67256.6292.025585630307-35.425585630307
68257.9290.413906754746-32.5139067547458
69256.5288.77624559303-32.2762455930301
70254.2300.68949013654-46.4894901365398
71253.3296.87100371324-43.5710037132398
72253.8294.337497755656-40.5374977556560
73255.5292.097827070987-36.5978270709869
74257.1290.428231752857-33.3282317528575
75257.3286.986001281404-29.6860012814035
76253.2290.641905731686-37.4419057316857
77252.8290.095386830323-37.2953868303233
78252288.181225143494-36.1812251434941
79250.7284.927122647963-34.2271226479631
80252.2282.581744666302-30.3817446663023
81250287.585001054668-37.5850010546677
82251289.264083707967-38.2640837079674
83253.4287.872448174074-34.4724481740739
84251.2285.602321382782-34.4023213827822
85255.6285.093428076604-29.4934280766044
86261.1283.104015199406-22.0040151994059
87258.9280.640050202751-21.7400502027515
88259.9281.060153467158-21.1601534671585
89261.2280.532447363388-19.3324473633884
90264.7280.010432698389-15.3104326983892
91267.1276.323635858235-9.22363585823527
92266.4279.603284356672-13.2032843566716
93267.7280.731104441024-13.0311044410237
94268.6278.760504361418-10.1605043614175
95267.5276.635169721424-9.1351697214244
96268.5278.560296793215-10.0602967932152
97268.5275.963182954292-7.46318295429233
98270.5273.390573351733-2.89057335173264
99270.9275.385241384453-4.48524138445277
100270.1269.8605006096940.239499390306444
101269.3264.7236590958114.57634090418949
102269.8268.5850262698171.21497373018328
103270.1264.0892791331946.01072086680596
104264.9261.4052707948723.49472920512811
105263.7264.941128971038-1.24112897103814
106264.8262.1239529997792.67604700022142
107263.7267.598988587074-3.89898858707378
108255.9268.037904649073-12.1379046490730
109276.2278.666187517536-2.46618751753556
110360.1297.46491597982662.6350840201738
111380.5324.38654082234156.1134591776591
112373.7327.51568694003946.1843130599612
113369.8329.50889571363740.2911042863634
114366.6328.25318194253838.3468180574622
115359.3324.54757230479234.7524276952084
116345.8322.10813033516923.6918696648307
117326.2318.8337557829247.36624421707624
118324.5317.3146628455337.18533715446723
119328.1318.5944445697469.50555543025448
120327.5315.70349545790811.7965045420919
121324.4312.82418965510111.5758103448992
122316.5310.8535895754955.64641042450537
123310.9307.2796695208953.62033047910541
124301.5305.028355527195-3.52835552719521
125291.7302.41242889068-10.7124288906801
126290.4300.686395179774-10.2863951797738
127287.4297.526356672204-10.1263566722043
128277.7295.820613808682-18.1206138086816
129281.6293.976011873451-12.3760118734506
130288297.479935893203-9.47993589320319
131276299.888485472954-23.8884854729538
132272.9298.5025601685-25.6025601685002
133283298.840242753976-15.8402427539758
134283.3303.153117070197-19.8531170701971
135276.8299.259379456528-22.459379456528
136284.5301.27857051628-16.7785705162803
137282.7300.148854889557-17.4488548895567
138281.2297.726747667735-16.5267476677354
139287.4294.246891601097-6.84689160109686
140283.1292.01439040499-8.91439040498974
141284289.342025375698-5.34202537569775
142285.5292.620195824343-7.12019582434269
143289.2300.070575158829-10.8705751588292
144292.5297.856886760314-5.35688676031441
145296.4298.100505357829-1.70050535782858
146305.2293.10104486586212.0989551341375
147303.9290.73114385716913.1688561428305
148311.5303.3607527589788.13924724102231
149316.3300.29331898024716.0066810197526
150316.7302.53678556131614.163214438684
151322.5300.84414526594621.6558547340543
152317.1298.49876728428518.6012327157152
153309.8295.69471267184714.1052873281533
154303.8295.6994563394328.10054366056811
155290.3295.963346993661-5.66334699366057
156293.7293.37340264330.326597356700113
157291.7290.1930920790161.50690792098418
158296.5287.5076056909028.99239430909764
159289.1290.536977591199-1.43697759119879
160288.5295.152334718688-6.65233471868818
161293.8292.0849009399581.71509906004211
162297.7289.7568577060987.94314229390188
163305.4286.25818884186719.1418111581327
164302.7283.91281086020618.7871891397936
165302.5295.857989560136.64201043987023
166303295.0161573360617.98384266393848
167294.5291.6679908525692.83200914743096
168294.1289.3414256685014.75857433149954
169294.5287.0453165910547.4546834089456
170297.1285.58266204644011.5173379535597
171289.4287.2198869249072.18011307509322
172292.4294.581912500872-2.18191250087161
173287.9292.511556994533-4.61155699453312
174286.6291.030089652327-4.43008965232669
175280.5288.246307096603-7.74630709660316
176272.4286.521751435488-14.1217514354882
177269.2283.811760811012-14.6117608110115
178270.6287.842443163348-17.2424431633484
179267.3285.99930048724-18.6993004872397
180262.5284.086616850202-21.5866168502017
181266.8284.19854586457-17.3985458645698
182268.8277.825751148366-9.02575114836594
183263.1273.63100877322-10.5310087732200
184261.2272.865905789312-11.6659057893123
185266271.755002960181-5.75500296018094
186262.5271.214175497589-8.71417549758944
187265.2263.3697503895381.83024961046223
188261.3257.5440048533023.75599514669818
189253.7256.602417202501-2.90241720250121
190249.2256.249717715833-7.04971771583269
191239.1254.53826462287-15.4382646228701
192236.4253.961289614885-17.5612896148853
193235.2253.132578749638-17.9325787496384
194245.2252.930381643708-7.73038164370828
195246.2251.350618133892-5.15061813389178
196247.7256.737299962665-9.03729996266536
197251.4257.470051297579-6.07005129757921
198253.3256.853972644619-3.55397264461852
199254.8255.217770742025-0.417770742025134
200250267.565187679949-17.5651876799489
201249.3266.642412826741-17.3424128267406
202241.5266.308526137664-24.8085261376644
203243.3265.086205782102-21.7862057821015
204248264.076536429494-16.0765364294938
205253263.304263957024-10.3042639570239
206252.9276.891847486248-23.9918474862480
207251.5313.163432732135-61.6634327321348
208251.6311.43887707102-59.8388770710198
209253.5309.970531087635-56.4705310876348
210259.8312.477376834996-52.6773768349956
211334.1309.37377672020324.7262232797971
212448346.723401658291101.276598341709
213445.8373.54950325372172.2504967462785
214445379.16046060381165.8395393961886
215448.2377.95695304584170.2430469541592
216438.2370.75787328536767.4421267146328
217439.8367.16368117405272.6363188259475
218423.4366.17134656924657.2286534307541
219410.8361.56272264706949.2372773529306
220408.4360.57186609205447.8281339079459
221406.7366.38407277688840.3159272231116
222405.9360.72616436919245.1738356308081
223402.7356.34329401812346.356705981877
224405.1349.93435175652655.1656482434742
225399.6347.28079952482652.3192004751739
226386.5341.86745748582944.6325425141706
227381.4341.39764903395840.0023509660415
228375.2341.70487551281233.4951244871883
229357.7329.9459292464427.7540707535602
230359335.53807379893723.4619262010626
231355333.99593588430521.0040641156945
232352.7328.94151504935423.7584849506462
233344.4330.46440388314413.9355961168558
234343.8328.98293654093814.8170634590623
235338333.366829867884.63317013212032
236339363.548778923302-24.5487789233018
237333.3367.291577872983-33.9915778729833
238334.4372.752032842335-38.3520328423349
239328.3372.131722009725-43.8317220097255
240330.7358.009532735286-27.3095327352863
241330349.072506107759-19.0725061077590
242331.6385.498825914033-53.8988259140327
243351.2467.372632523649-116.172632523649
244389.4449.130440576497-59.730440576497
245410.9495.352536489587-84.452536489587
246442.8496.166230453641-53.3662304536409
247462.8421.64925067848641.1507493215143
248466.9409.54003074642257.3599692535777
249461.7400.54656572611861.1534342738818
250439.2390.46764988423248.7323501157683
251430.3380.42212745788149.8778725421188
252416.1394.76370094058921.3362990594115
253402.5394.4617484079268.03825159207398
254397.3408.369149496219-11.0691494962193
255403.3379.3415142992423.9584857007598
256395.9382.9786059519312.9213940480699
257387.8361.47463053274826.3253694672520
258378.6359.22183848925719.3781615107427
259377.1360.38874342791616.7112565720837
260370.4358.55131098124811.8486890187524
261362342.82286442290119.1771355770992
262350.3340.4383827962649.86161720373588
263348.2349.958169865903-1.75816986590337
264344.6352.466493663055-7.86649366305534
265343.5350.283261371163-6.78326137116308
266342.8345.509554450305-2.70955445030457
267347.6347.0150897456250.584910254375115
268346.6344.7073373591491.89266264085134
269349.5341.7527803659727.74721963402784
270342.1342.566474330026-0.466474330026094
271342330.63967214444611.3603278555542
272342.8326.31895041559416.4810495844063
273339.3318.52950444119720.7704955588034
274348.2319.1738832269229.0261167730801
275333.7335.108834275533-1.40883427553273
276334.7358.593427388097-23.8934273880968
277354341.30351862958912.6964813704106
278367.7332.4286218336135.2713781663901
279363.3333.78365474819229.5163452518081
280358.4326.41525980938831.9847401906124
281353.1324.36371710064128.7362828993587
282343.1314.92443637689328.1755636231071
283344.6313.62686483096130.9731351690391
284344.4306.59710024881837.8028997511821
285333.9305.12875426543328.771245734567
286331.7307.97423036945523.7257696305449
287324.3309.74314483106814.5568551689324
288321.2307.36014125422213.8398587457778
289322.4301.35791105109321.0420889489066
290321.7290.13141455607731.5685854439233
291320.5289.83092128253730.6690787174635
292312.8296.32755816925616.4724418307444
293309.7303.7952910422125.90470895778784
294315.6284.44166598732331.1583340126772
295309.7283.01240485824526.6875951417553
296304.6284.65533996615119.944660033849
297302.5286.46042076382616.0395792361741
298301.5276.13693855323925.3630614467605
299298.8281.06640301035817.7335969896420
300291.3279.79335449145811.5066455085418
301293.6283.9124093929869.68759060701436
302294.6281.84774532541812.7522546745820
303285.9290.878399657657-4.97839965765755
304297.6297.1304701756770.469529824323219
305301.1286.0675974202215.0324025797801
306293.8281.89590002231511.9040999776851
307297.7268.20069486305929.4993051369413
308292.9265.21568176326027.6843182367403
309292.1275.54295987024516.5570401297546
310287.2276.24377704874610.9562229512544
311288.2281.8693150167796.33068498322079
312283.8268.93233199065514.8676680093453
313299.9276.98326158897222.9167384110276
314292.4275.08791269973517.3120873002645
315293.3268.33462985203724.9653701479629
316300.8273.70249888321827.0975011167817
317293.7276.65516033402317.0448396659766
318293.1270.90318793836522.1968120616347
319294.4277.69511935712116.7048806428786
320292.1272.65951131976219.4404886802380
321291.9273.65564182096818.2443581790320
322282.5272.080110490810.4198895091998
323277.9272.9460106679824.95398933201761
324287.5276.22565916641911.2743408335814
325289.2288.3401530446730.859846955327345
326285.6289.567728555757-3.96772855575712
327293.2293.38723795493-0.18723795493013
328290.8290.0447817008770.755218299122519
329283.1293.129132734829-10.0291327348286
330275304.026486208354-29.0264862083542
331287.8287.4717358150690.328264184931395
332287.8289.791931636298-1.99193163629764
333287.4302.696563013428-15.2965630134282
334284301.233908468814-17.2339084688141
335277.8315.983653269112-38.1836532691121
336277.6334.576919007679-56.9769190076788
337304.9336.137433436654-31.2374334366538
338294362.574157721417-68.5741577214174
339300.9388.122448339694-87.2224483396944
340324374.583455790616-50.5834557906163
341332.9369.277299098403-36.3772990984026
342341.6357.091349926179-15.4913499261787
343333.4337.940433465156-4.54043346515606
344348.2338.3040983367869.8959016632139
345344.7329.46113569722015.2388643027796
346344.7348.542056123396-3.84205612339553
347329.3354.920105995121-25.620105995121
348323.5355.528337235451-32.0283372354509
349323.2384.442659363627-61.242659363627
350317.4367.440634007775-50.0406340077749
351330.1355.363329441456-25.2633294414561
352329.2358.040968416939-28.8409684169388
353334.9351.624856666780-16.7248566667796
354315.8339.175528328264-23.3755283282635
355315.4340.81275320673-25.4127532067300
356319.6352.821539787992-33.2215397879923
357317.3345.953920895618-28.6539208956179
358313.8343.983320816012-30.1833208160118
359315.8366.201746260452-50.401746260452
360311.3381.314644444444-70.0146444444436


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
90.782388121352170.4352237572956610.217611878647830
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3070.9999999702314355.95371302618423e-082.97685651309211e-08
3080.99999995018599.96281993303576e-084.98140996651788e-08
3090.9999999002328741.99534252369217e-079.97671261846083e-08
3100.9999998026352453.94729510058251e-071.97364755029125e-07
3110.9999996121746927.7565061533789e-073.87825307668945e-07
3120.99999922522731.54954539859554e-067.7477269929777e-07
3130.9999987697893882.46042122406653e-061.23021061203327e-06
3140.9999979639839274.07203214604083e-062.03601607302041e-06
3150.9999970134686975.97306260612006e-062.98653130306003e-06
3160.9999965068730086.9862539841719e-063.49312699208595e-06
3170.9999937658253481.24683493032783e-056.23417465163914e-06
3180.9999911543253311.76913493377162e-058.84567466885811e-06
3190.9999878193392512.4361321497482e-051.2180660748741e-05
3200.999981222103983.75557920383168e-051.87778960191584e-05
3210.9999672114095866.55771808277073e-053.27885904138536e-05
3220.9999400510577790.000119897884442025.994894222101e-05
3230.9998882144272730.0002235711454532940.000111785572726647
3240.9998062220484860.0003875559030279850.000193777951513993
3250.9996502751590570.000699449681885270.000349724840942635
3260.9993854803382030.001229039323593210.000614519661796603
3270.9990235008510550.001952998297890640.000976499148945322
3280.9983839270293180.003232145941364620.00161607297068231
3290.9975020134446940.004995973110611080.00249798655530554
3300.9968671919317190.006265616136562890.00313280806828144
3310.994770187566610.01045962486678090.00522981243339047
3320.9915267481518140.01694650369637290.00847325184818645
3330.9895072906150880.02098541876982320.0104927093849116
3340.9882885945391580.02342281092168350.0117114054608417
3350.994017749455320.01196450108936150.00598225054468073
3360.9996472103113680.0007055793772642110.000352789688632105
3370.9999552827461018.94345077975025e-054.47172538987512e-05
3380.999998747170822.50565835947207e-061.25282917973604e-06
3390.9999998473101723.05379656891068e-071.52689828445534e-07
3400.99999987531192.49376198290157e-071.24688099145079e-07
3410.9999997418063455.16387309619497e-072.58193654809749e-07
3420.9999989329536882.13409262461609e-061.06704631230805e-06
3430.9999972756997595.44860048208426e-062.72430024104213e-06
3440.9999909556574851.80886850294011e-059.04434251470055e-06
3450.9999608652580437.82694839147434e-053.91347419573717e-05
3460.9999880250985552.39498028891526e-051.19749014445763e-05
3470.9999326570593720.0001346858812564546.73429406282271e-05
3480.99979859971680.0004028005664013840.000201400283200692
3490.9994562778299180.001087444340164040.000543722170082021
3500.9994103678525580.001179264294883730.000589632147441866
3510.9954154827429430.00916903451411330.00458451725705665


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level1460.425655976676385NOK
5% type I error level1960.571428571428571NOK
10% type I error level2210.644314868804665NOK