Multiple Linear Regression - Estimated Regression Equation
USA[t] = + 135.698187089792 + 1.88117003420919Colombia[t] + 0.148421997798835t + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)135.6981870897927.62888417.787400
Colombia1.881170034209190.08705721.608500
t0.1484219977988350.015779.411600


Multiple Linear Regression - Regression Statistics
Multiple R0.775073512463964
R-squared0.600738949723227
Adjusted R-squared0.598502193139044
F-TEST (value)268.575916562013
F-TEST (DF numerator)2
F-TEST (DF denominator)357
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation31.0592597650331
Sum Squared Residuals344389.909323193


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
1255300.03512967337-45.0351296733702
2280.2300.183551671168-19.9835516711684
3299.9299.974551362467-0.0745513624674215
4339.2299.80317445445139.3968255455494
5374.2301.2119803751772.9880196248304
6393.5307.24846458004386.2515354199568
7389.2307.34045147681681.8595485231843
8381.7306.75521716127374.944782838727
9375.2305.49276163341569.7072383665851
10369304.49366991034664.5063300896539
11357.4303.64507179001453.7549282099859
12352.1302.68360346762949.4163965323705
13346.5301.42114793977145.0788520602286
14342.9301.09927742901841.800722570982
15340.3300.45760801244939.842391987551
16328.3299.89118539724828.4088146027517
17322.9299.36238618273223.5376138172681
18314.3298.871210368915.4287896311005
19308.9298.41765795575110.4823420442485
20294297.945293842261-3.94529384226123
21285.6296.720461715087-11.1204617150873
22281.2294.780784974914-13.580784974914
23280.3293.273777342609-12.9737773426087
24278.8291.992510114409-13.1925101144086
25274.5290.805301387919-16.3053013879189
26270.4287.906227930299-17.5062279302988
27263.4270.390463306873-6.99046330687335
28259.9269.222066280726-9.32206628072575
29258271.797197622654-13.7971976226544
30262.7279.263371053527-16.563371053527
31284.7282.8919576146131.80804238538712
32311.3286.78390798048824.516092019512
33322.1294.04315270759828.0568472924024
34327297.0133297567129.9866702432898
35331.3299.55083769795531.7491623020453
36333.3301.12894892175332.1710510782475
37321.4301.55954642468319.8404535753172
38327299.84561008861427.1543899113855
39320298.80889496486221.1911050351385
40314.7304.24340475878810.4565952412118
41316.7302.24729291758914.4527070824114
42314.4300.13831087433614.2616891256636
43321.3298.8946670468222.4053329531796
44318.2297.38765941451520.8123405854848
45307.2295.84302838152611.3569716184743
46301.3293.9033516413527.39664835864768
47287.5291.926051500495-4.42605150049479
48277.7297.322937893737-19.6229378937373
49274.4296.643645076484-22.2436450764841
50258.8294.929708740416-36.1297087404158
51253.3293.535571310163-40.2355713101631
52251292.329550883331-41.3295508833313
53248.4291.010660254447-42.6106602544469
54249.5289.353159019405-39.853159019405
55246.1287.714469484705-41.6144694847051
56244.5285.962909747953-41.4629097479526
57243.6284.267785112226-40.6677851122264
58244291.545841539678-47.5458415396781
59240.8296.265506720605-55.4655067206053
60249.8294.927804391379-45.1278043913789
61248292.894069149495-44.894069149495
62259.4291.217756214111-31.817756214111
63260.5297.686909526853-37.1869095268527
64260.8297.722461322599-36.922461322599
65261.3295.895654784478-34.5956547844781
66259.5293.937166343963-34.4371663439627
67256.6292.392535310973-35.7925353109732
68257.9290.4528585708-32.5528585707999
69256.5288.851792436784-32.3517924367842
70254.2300.21198783847-46.0119878384698
71253.3297.237667579481-43.9376675794813
72253.8294.376217522546-40.5762175225455
73255.5292.173176977583-36.6731769775828
74257.1289.951324732278-32.8513247322781
75257.3287.353238480131-30.0532384801315
76253.2290.680837835744-37.4808378357439
77252.8290.17085032157-37.3708503215695
78252287.704445971818-35.7044459718175
79250.7285.294476723092-34.5944767230919
80252.2282.621143669577-30.4211436695769
81250287.66060775632-37.6606077563197
82251288.787238171907-37.7872381719073
83253.4288.239627257049-34.8396272570487
84251.2285.641541004902-34.4415410049021
85255.6285.169176891412-29.5691768914119
86261.1282.627525740292-21.5275257402916
87258.9281.007647905934-22.1076479059338
88259.9281.099634802706-21.1996348027064
89261.2280.608458988874-19.4084589888741
90264.7279.534120464437-14.8341204644369
91267.1276.691482107843-9.59148210784312
92266.4279.642847456614-13.2428474566137
93267.7280.807101272885-13.1071012728855
94268.6278.284261822107-9.68426182210723
95267.5277.002994593907-9.50299459390711
96268.5278.599917518047-10.099917518047
97268.5276.039454666585-7.53945466658462
98270.5272.914640804859-2.41464080485944
99270.9275.753135951577-4.85313595157746
100270.1269.9006255402490.199374459751076
101269.3264.8005831426044.49941685739589
102269.8268.1093707978741.6906292021256
103270.1264.4578293265715.64217067342935
104264.9261.4458856668983.45411433310192
105263.7265.018037126958-1.31803712695764
106264.8261.6486711607853.15132883921473
107263.7267.96733087079-4.26733087079027
108255.9268.078129467905-12.1781294679049
109276.2278.742291956933-2.54229195693315
110360.1296.98756968382463.1124303161756
111380.5324.75156778381455.7484322161858
112373.7327.55243952984846.147560470152
113369.8329.58203156185640.2179684381439
114366.6327.77403672407738.8259632759227
115359.3324.91258666714134.3874133328586
116345.8322.14519511191623.654804888084
117326.2318.9075110481387.29248895186167
118324.5316.836152405577.66384759442968
119328.1318.9598029392899.14019706071122
120327.5315.74093057585311.7590694241468
121324.4312.89829221925911.5017077807406
122316.5310.3754527684816.12454723151882
123310.9307.645684613943.25431538606003
124301.5305.066410062135-3.56641006213545
125291.7302.487135510331-10.787135510331
126290.4300.208848164-9.80884816399996
127287.4297.892937416985-10.4929374169847
128277.7295.859202175101-18.1592021751009
129281.6294.051207337322-12.4512073373221
130288297.002572686093-9.00257268609269
131276300.254925240337-24.2549252403367
132272.9298.540988904268-25.6409889042685
133283298.915151306172-15.9151513061724
134283.3302.675419769653-19.3754197696528
135276.8299.625852709296-22.825852709296
136284.5301.316834135146-16.8168341351464
137282.7300.223683910367-17.5236839103672
138281.2297.249363651379-16.0493636513788
139287.4294.613653998548-7.21365399854804
140283.1292.053191147086-8.95319114708557
141284289.417481494255-5.41748149425484
142285.5292.14310643892-6.64310643892025
143289.2300.436994684845-11.2369946848449
144292.5297.895343533725-5.39534353372459
145296.4298.175447433918-1.77544743391811
146305.2292.62392422806312.5760757719369
147303.9291.09810489541612.8018951045843
148311.5303.3988853142068.10111468579407
149316.3300.36812995419115.9318700458088
150316.7302.05911138004214.6408886199584
151322.5301.2105132597121.2894867402904
152317.1298.53718020619518.5628197938054
153309.8295.76978865096914.0302113490308
154303.8295.2221777361118.57782226388938
155290.3296.329996451356-6.02999645135613
156293.7293.4121112933940.287888706605989
157291.7290.2684857313271.43151426867324
158296.5287.0308016675499.46919833245096
159289.1290.903940333082-1.80394033308204
160288.5295.190936406141-6.69093640614113
161293.8292.1601810461261.63981895387358
162297.7289.2799192888488.42008071115153
163305.4286.62539793567618.7746020643244
164302.7283.95206488216118.7479351178393
165302.5295.9330463951356.5669536048647
166303294.5389089648838.46109103511739
167294.5292.0348812144472.46511878555351
168294.1289.3803598612744.71964013872642
169294.5287.1208842152857.37911578471533
170297.1285.10596067374311.9940393262571
171289.4287.5870335139611.8129664860388
172292.4294.620537836966-2.22053783696568
173287.9292.586802595082-4.68680259508185
174286.6290.553067353198-3.95306735319799
175280.5288.613390613025-8.11339061302464
176272.4286.560843670799-14.1608436707987
177269.2283.887510617284-14.6875106172838
178270.6287.365603575633-16.7656035756328
179267.3286.366511852564-19.0665118525641
180262.5284.125847906917-21.6258479069173
181266.8284.274269904716-17.4742699047161
182268.8277.349492573888-8.54949257388833
183263.1273.998938308058-10.8989383080581
184261.2272.905788083279-11.7057880832789
185266271.831449558842-5.83144955884171
186262.5270.738299334062-8.23829933406247
187265.2263.7382752018661.46172479813362
188261.3257.5847775850643.7152224149356
189253.7256.679744363706-2.9797443637061
190249.2255.774711142348-6.5747111423478
191239.1254.907301321674-15.8073013216737
192236.4254.002268100315-17.6022681003153
193235.2253.21010508101-18.0101050810096
194245.2252.455565462388-7.255565462388
195246.2251.719837544109-5.51983754410852
196247.7256.778113331193-9.07811333119335
197251.4257.547321440281-6.14732144028119
198253.3256.378924414134-3.0789244141336
199254.8255.586761394828-0.786761394827834
200250267.605366308487-17.6053663084867
201249.3266.71914478747-17.4191447874705
202241.5265.832923266454-24.3329232664543
203243.3265.454617654675-22.1546176546745
204248264.116915325448-16.1169153254481
205253263.381187407169-10.3811874071686
206252.9276.4156241393-23.5156241393004
207251.5313.52903730931-62.0290373093099
208251.6311.476490367084-59.876490367084
209253.5310.044729536147-56.5447295361471
210259.8311.999074766787-52.1990747667868
211334.1309.73959912079824.3604008792022
212448346.758953789097101.241046210903
213445.8373.61999027266672.1800097273337
214445378.67826605975166.3217339402489
215448.2378.31877214831369.8812278516865
216438.2370.79202040653967.4079795934612
217439.8367.23453743694672.5654625630545
218423.4365.68990640395657.7100935960439
219410.8361.925494730648.8745052694003
220408.4360.60660410171547.7933958982846
221406.7366.45497130316840.2450286968319
222405.9360.2450385853445.6549614146601
223402.7356.70636731608945.9936326839113
224405.1349.96970698868255.1302930113181
225399.6347.35280903619352.2471909638068
226386.5341.38742842281245.1125715771878
227381.4341.76159082471639.6384091752839
228375.2341.74070751943633.4592924805639
229357.7330.01894660137527.6810533986251
230359335.05841068811823.9415893118823
231355334.36030617052220.6396938294777
232352.7328.97808826774623.7219117322538
233344.4330.53738779120213.8626122087981
234343.8328.50365254931815.2963474506819
235338333.7312336394824.26876636051827
236339363.583330477444-24.5833304774437
237333.3367.362410641266-34.0624106412663
238334.4372.270192825614-37.8701928256144
239328.3372.493861624782-44.1938616247816
240330.7358.044404157117-27.3444041571171
241330349.14439829037-19.1443982903697
242331.6385.016239237801-53.4162392378011
243351.2467.729214037042-116.529214037042
244389.4449.159994194459-59.7599941944589
245410.9495.415893730725-84.515893730725
246442.8495.677185930576-52.8771859305764
247462.8422.00849578600740.7915042139935
248466.9409.57189025494657.3281097450542
249461.7400.61544928717261.0845507128278
250439.2389.98476698895249.2152330110477
251430.3380.78377391673149.5162260832686
252416.1394.79641906665221.303580933348
253402.5394.5309836569257.96901634307518
254397.3407.885219294872-10.5852192948722
255403.3379.70322057748123.5967794225194
256395.9383.01200823275112.8879917672491
257387.8361.54578653748626.2542134625139
258378.6358.74077158157619.8592284184236
259377.1360.75155191324216.3484480867576
260370.4358.58613476896411.813865231036
261362342.89510507872119.1048949212786
262350.3339.95840822041710.3415917795829
263348.2350.321583503972-2.12158350397189
264344.6352.501669138717-7.90166913871662
265343.5350.35506369478-6.85506369478026
266342.8345.02928089303-2.22928089303034
267347.6347.3786718308540.221328169146104
268346.6344.7429621780231.85703782197686
269349.5341.8250770200617.67492297993901
270342.1342.0863692199120.0136307800876358
271342331.00420611348210.9957938865177
272342.8326.35564452404816.4443554759523
273339.3318.60315237816820.6968476218321
274348.2318.69513927494129.5048607250595
275333.7335.473104375149-1.77310437514864
276334.7358.628235891326-23.9282358913259
277354341.3758350726912.6241649273103
278367.7331.94910159636435.7508984036363
279363.3334.14799893145129.1520010685494
280358.4326.45194188659731.9480581134029
281353.1324.43701834505528.6629816549447
282343.1314.44593385846728.6540661415334
283344.6313.99238144531930.6076185546815
284344.4306.63493500662337.7650649933773
285333.9305.20317417568628.6968258243142
286331.7307.49613001248324.2038699875169
287324.3310.10888475509614.191115244904
288321.2307.39792830089713.8020716991032
289322.4301.43254768751620.9674523124842
290321.7289.65435166842832.0456483315717
291320.5290.19781937341130.3021806265889
292312.8296.36598548067916.4340145193207
293309.7303.8697823122365.83021768776385
294315.6283.96493174536531.6350682546351
295309.7283.37969742982226.3203025701778
296304.6284.69444484883119.9055551511693
297302.5286.53591987741815.9640801225821
298301.5275.66068547475125.8393145252492
299298.8281.43380587483517.3661941251649
300291.3279.83273974081911.4672602591806
301293.6283.9880539114849.61194608851618
302294.6281.37115595899513.2288440410049
303285.9291.245227033656-5.34522703365556
304297.6297.1688410364770.431158963523424
305301.1286.14311303107314.9568869689272
306293.8281.4193046402712.3806953597302
307297.7268.56884170168329.1311582983168
308292.9265.25591083653727.6440891634629
309292.1275.61908612009216.4809138799082
310287.2275.76750811789111.4324918821093
311288.2282.2366614306325.9633385693676
312283.8268.9723410845214.8276589154803
313299.9277.05930062668122.8406993733187
314292.4274.61170797727117.7882920227285
315293.3268.70276246491724.5972375350833
316300.8273.74222655165927.0577734483406
317293.7276.73121530111416.9687846988859
318293.1270.42722408157522.6727759184246
319294.4278.06270281552716.3372971844731
320292.1272.69929661309319.4007033869073
321291.9273.7318685269718.1681314730301
322282.5271.60407478337610.8959252166244
323277.9273.3138679095684.58613209043188
324287.5276.26523325833911.2347667416614
325289.2288.4155200743920.784479925607867
326285.6289.09066968177-3.4906696817695
327293.2293.75389976167-0.553899761670433
328290.8290.0835465900250.716453409975417
329283.1293.204217241874-10.1042172418739
330275303.548580825087-28.5485808250866
331287.8287.838739434502-0.0387394345019416
332287.8289.830708065826-2.0307080658258
333287.4302.771086296247-15.3710862962472
334284300.756162754705-16.7561627547054
335277.8316.348990733362-38.5489907333617
336277.6334.613080160595-57.0130801605951
337304.9336.210003084735-31.310003084735
338294362.092831150516-68.0928311505156
339300.9388.483575125533-87.5835751255327
340324374.617280368473-50.6172803684731
341332.9369.347932667749-36.4479326677494
342341.6356.610339931215-15.0103399312153
343333.4338.304483893422-4.90448389342194
344348.2338.3400356891689.85996431083179
345344.7329.53408832413115.1659116758687
346344.7348.061541556154-3.36154155615395
347329.3355.283162882579-25.9831628825793
348323.5355.563266782773-32.0632667827728
349323.2384.512402004314-61.3124020043144
350317.4366.959013980205-49.5590139802047
351330.1355.726357271038-25.6263572710379
352329.2358.075748208862-28.8757482088615
353334.9351.696510187954-16.7965101879545
354315.8338.695553646631-22.895553646631
355315.4341.176626486849-25.7766264868493
356319.6352.85662079435-33.2566207943504
357317.3346.025901965233-28.7259019652332
358313.8343.503062514455-29.703062514455
359315.8366.564135528922-50.7641355289218
360311.3381.348060392868-70.0480603928682


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
60.01690540382644740.03381080765289480.983094596173553
70.062970816186620.125941632373240.93702918381338
80.24684365182340.4936873036468010.7531563481766
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3090.9999999769561154.60877695195831e-082.30438847597915e-08
3100.9999999527729029.44541952444921e-084.72270976222461e-08
3110.9999999035207171.92958566016419e-079.64792830082094e-08
3120.9999998045617333.90876533135905e-071.95438266567953e-07
3130.9999997304590795.39081843024163e-072.69540921512082e-07
3140.9999995239260389.52147923560821e-074.7607396178041e-07
3150.999999236459491.52708102094797e-067.63540510473984e-07
3160.9999991263526351.74729472977425e-068.73647364887123e-07
3170.9999985915008622.81699827561681e-061.4084991378084e-06
3180.9999978503047544.29939049292588e-062.14969524646294e-06
3190.9999967234352156.55312956935622e-063.27656478467811e-06
3200.9999949044393491.01911213020624e-055.09556065103121e-06
3210.9999921067801361.57864397275005e-057.89321986375024e-06
3220.9999849841510633.00316978741219e-051.50158489370609e-05
3230.9999714911363885.70177272231186e-052.85088636115593e-05
3240.9999490162438890.0001019675122213515.09837561106753e-05
3250.9999085119980620.0001829760038751259.14880019375624e-05
3260.999833685110370.0003326297792605250.000166314889630262
3270.9997171464415440.0005657071169117350.000282853558455868
3280.9995139474852390.0009721050295211980.000486052514760599
3290.9991743384918970.001651323016205780.000825661508102888
3300.9989982726761590.002003454647682060.00100172732384103
3310.9982946643469370.003410671306126790.00170533565306339
3320.9972071418399540.005585716320092860.00279285816004643
3330.9959683515449440.008063296910111760.00403164845505588
3340.9955923166386190.008815366722762730.00440768336138136
3350.9985316243558420.002936751288316020.00146837564415801
3360.9999428020121150.000114395975769795.7197987884895e-05
3370.9999867607717282.64784565434976e-051.32392282717488e-05
3380.9999998385841833.22831633310692e-071.61415816655346e-07
3390.9999999962092017.58159858142718e-093.79079929071359e-09
3400.9999999970247525.95049593250741e-092.9752479662537e-09
3410.9999999917385271.65229461143204e-088.26147305716022e-09
3420.9999999617970297.64059416697614e-083.82029708348807e-08
3430.9999999293853321.41229336905446e-077.06146684527232e-08
3440.9999997942096154.11580769051403e-072.05790384525702e-07
3450.9999993238777551.35224448963857e-066.76122244819287e-07
3460.9999994680663661.0638672687497e-065.31933634374851e-07
3470.9999972431864455.51362710998822e-062.75681355499411e-06
3480.9999892622881412.14754237182049e-051.07377118591024e-05
3490.9999586462649328.27074701365488e-054.13537350682744e-05
3500.9999900863965031.98272069930426e-059.91360349652132e-06
3510.9999398178283160.0001203643433672696.01821716836345e-05
3520.9996696823526020.0006606352947965220.000330317647398261
3530.9998877272106340.0002245455787316560.000112272789365828
3540.9990294852740740.001941029451851570.000970514725925783


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level1560.446991404011461NOK
5% type I error level2100.601719197707736NOK
10% type I error level2340.670487106017192NOK