Multiple Linear Regression - Estimated Regression Equation
USA[t] = + 135.698187089792 + 1.88117003420920Colombia[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
Colombia1.881170034209200.08705721.608500
t0.1484219977988350.015779.411600


Multiple Linear Regression - Regression Statistics
Multiple R0.775073512463965
R-squared0.600738949723228
Adjusted R-squared0.598502193139044
F-TEST (value)268.575916562014
F-TEST (DF numerator)2
F-TEST (DF denominator)357
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation31.059259765033
Sum Squared Residuals344389.909323192


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
1255300.035129673362-45.0351296733621
2280.2300.183551671168-19.9835516711679
3299.9299.974551362467-0.0745513624672363
4339.2299.80317445445139.3968255455493
5374.2301.2119803751772.9880196248303
6393.5307.24846458004386.2515354199567
7389.2307.34045147681681.8595485231842
8381.7306.75521716127374.944782838727
9375.2305.49276163341569.707238366585
10369304.49366991034664.5063300896538
11357.4303.64507179001453.7549282099858
12352.1302.68360346763049.4163965323704
13346.5301.42114793977245.0788520602285
14342.9301.09927742901841.8007225709819
15340.3300.45760801244939.8423919875509
16328.3299.89118539724828.4088146027516
17322.9299.36238618273223.5376138172681
18314.3298.87121036890015.4287896311004
19308.9298.41765795575210.4823420442484
20294297.945293842261-3.94529384226133
21285.6296.720461715087-11.1204617150874
22281.2294.780784974914-13.5807849749141
23280.3293.273777342609-12.9737773426088
24278.8291.992510114409-13.1925101144087
25274.5290.805301387919-16.3053013879190
26270.4287.906227930299-17.5062279302989
27263.4270.390463306873-6.99046330687342
28259.9269.222066280726-9.32206628072581
29258271.797197622654-13.7971976226545
30262.7279.263371053527-16.5633710535271
31284.7282.8919576146131.80804238538704
32311.3286.78390798048824.5160920195119
33322.1294.04315270759828.0568472924024
34327297.0133297567129.9866702432897
35331.3299.55083769795531.7491623020452
36333.3301.12894892175332.1710510782474
37321.4301.55954642468319.8404535753171
38327299.84561008861527.1543899113854
39320298.80889496486221.1911050351384
40314.7304.24340475878810.4565952412117
41316.7302.24729291758914.4527070824113
42314.4300.13831087433614.2616891256635
43321.3298.89466704682022.4053329531795
44318.2297.38765941451520.8123405854848
45307.2295.84302838152611.3569716184742
46301.3293.9033516413527.3966483586476
47287.5291.926051500495-4.42605150049486
48277.7297.322937893737-19.6229378937373
49274.4296.643645076484-22.2436450764842
50258.8294.929708740416-36.1297087404159
51253.3293.535571310163-40.2355713101631
52251292.329550883331-41.3295508833314
53248.4291.010660254447-42.610660254447
54249.5289.353159019405-39.8531590194050
55246.1287.714469484705-41.6144694847051
56244.5285.962909747953-41.4629097479527
57243.6284.267785112227-40.6677851122265
58244291.545841539678-47.5458415396782
59240.8296.265506720605-55.4655067206054
60249.8294.927804391379-45.1278043913789
61248292.894069149495-44.8940691494951
62259.4291.217756214111-31.8177562141111
63260.5297.686909526853-37.1869095268528
64260.8297.722461322599-36.922461322599
65261.3295.895654784478-34.5956547844782
66259.5293.937166343963-34.4371663439628
67256.6292.392535310973-35.7925353109733
68257.9290.4528585708-32.5528585708
69256.5288.851792436784-32.3517924367842
70254.2300.21198783847-46.0119878384699
71253.3297.237667579481-43.9376675794814
72253.8294.376217522546-40.5762175225455
73255.5292.173176977583-36.6731769775829
74257.1289.951324732278-32.8513247322781
75257.3287.353238480132-30.0532384801316
76253.2290.680837835744-37.4808378357439
77252.8290.170850321570-37.3708503215696
78252287.704445971818-35.7044459718176
79250.7285.294476723092-34.5944767230920
80252.2282.621143669577-30.421143669577
81250287.66060775632-37.6606077563197
82251288.787238171907-37.7872381719073
83253.4288.239627257049-34.8396272570488
84251.2285.641541004902-34.4415410049022
85255.6285.169176891412-29.569176891412
86261.1282.627525740292-21.5275257402916
87258.9281.007647905934-22.1076479059339
88259.9281.099634802706-21.1996348027064
89261.2280.608458988874-19.4084589888741
90264.7279.534120464437-14.8341204644370
91267.1276.691482107843-9.59148210784316
92266.4279.642847456614-13.2428474566138
93267.7280.807101272886-13.1071012728855
94268.6278.284261822107-9.68426182210727
95267.5277.002994593907-9.50299459390716
96268.5278.599917518047-10.0999175180471
97268.5276.039454666585-7.53945466658466
98270.5272.914640804859-2.41464080485948
99270.9275.753135951577-4.8531359515775
100270.1269.9006255402490.199374459751041
101269.3264.8005831426044.49941685739586
102269.8268.1093707978741.69062920212556
103270.1264.4578293265715.64217067342932
104264.9261.4458856668983.45411433310189
105263.7265.018037126958-1.31803712695767
106264.8261.6486711607853.15132883921470
107263.7267.967330870790-4.2673308707903
108255.9268.078129467905-12.1781294679049
109276.2278.742291956933-2.54229195693319
110360.1296.98756968382463.1124303161756
111380.5324.75156778381455.7484322161857
112373.7327.55243952984846.1475604701519
113369.8329.58203156185640.2179684381439
114366.6327.77403672407738.8259632759226
115359.3324.91258666714234.3874133328585
116345.8322.14519511191623.6548048880839
117326.2318.9075110481387.29248895186161
118324.5316.8361524055707.66384759442962
119328.1318.9598029392899.14019706071116
120327.5315.74093057585311.7590694241468
121324.4312.89829221925911.5017077807405
122316.5310.3754527684816.12454723151876
123310.9307.645684613943.25431538605998
124301.5305.066410062136-3.56641006213549
125291.7302.487135510331-10.787135510331
126290.4300.208848164-9.808848164
127287.4297.892937416985-10.4929374169848
128277.7295.859202175101-18.1592021751009
129281.6294.051207337322-12.4512073373222
130288297.002572686093-9.00257268609272
131276300.254925240337-24.2549252403367
132272.9298.540988904268-25.6409889042685
133283298.915151306172-15.9151513061724
134283.3302.675419769653-19.3754197696529
135276.8299.625852709296-22.8258527092961
136284.5301.316834135147-16.8168341351465
137282.7300.223683910367-17.5236839103673
138281.2297.249363651379-16.0493636513788
139287.4294.613653998548-7.21365399854807
140283.1292.053191147086-8.9531911470856
141284289.417481494255-5.41748149425486
142285.5292.14310643892-6.64310643892028
143289.2300.436994684845-11.2369946848450
144292.5297.895343533725-5.39534353372463
145296.4298.175447433918-1.77544743391814
146305.2292.62392422806312.5760757719369
147303.9291.09810489541612.8018951045842
148311.5303.3988853142068.10111468579404
149316.3300.36812995419115.9318700458087
150316.7302.05911138004214.6408886199584
151322.5301.21051325971021.2894867402904
152317.1298.53718020619518.5628197938054
153309.8295.76978865096914.0302113490308
154303.8295.2221777361118.57782226388935
155290.3296.329996451356-6.02999645135616
156293.7293.4121112933940.287888706605963
157291.7290.2684857313271.43151426867322
158296.5287.0308016675499.46919833245094
159289.1290.903940333082-1.80394033308205
160288.5295.190936406141-6.69093640614115
161293.8292.1601810461261.63981895387357
162297.7289.2799192888488.42008071115151
163305.4286.62539793567618.7746020643244
164302.7283.95206488216118.7479351178393
165302.5295.9330463951356.56695360486468
166303294.5389089648838.46109103511737
167294.5292.0348812144472.46511878555350
168294.1289.3803598612744.7196401387264
169294.5287.1208842152857.37911578471531
170297.1285.10596067374311.9940393262571
171289.4287.5870335139611.81296648603879
172292.4294.620537836966-2.22053783696569
173287.9292.586802595082-4.68680259508187
174286.6290.553067353198-3.953067353198
175280.5288.613390613025-8.11339061302465
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
187265.2263.7382752018661.46172479813363
188261.3257.5847775850643.71522241493562
189253.7256.679744363706-2.97974436370608
190249.2255.774711142348-6.57471114234778
191239.1254.907301321674-15.8073013216736
192236.4254.002268100315-17.6022681003153
193235.2253.210105081010-18.0101050810096
194245.2252.455565462388-7.25556546238798
195246.2251.719837544108-5.5198375441085
196247.7256.778113331193-9.07811333119333
197251.4257.547321440281-6.14732144028118
198253.3256.378924414134-3.07892441413358
199254.8255.586761394828-0.786761394827808
200250267.605366308487-17.6053663084867
201249.3266.719144787470-17.4191447874705
202241.5265.832923266454-24.3329232664542
203243.3265.454617654675-22.1546176546745
204248264.116915325448-16.1169153254481
205253263.381187407169-10.3811874071686
206252.9276.415624139300-23.5156241393004
207251.5313.52903730931-62.02903730931
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
219410.8361.925494730648.8745052694002
220408.4360.60660410171547.7933958982845
221406.7366.45497130316840.2450286968318
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
231355334.36030617052220.6396938294776
232352.7328.97808826774623.7219117322538
233344.4330.53738779120213.8626122087981
234343.8328.50365254931815.2963474506819
235338333.7312336394824.26876636051826
236339363.583330477444-24.5833304774438
237333.3367.362410641266-34.0624106412663
238334.4372.270192825614-37.8701928256145
239328.3372.493861624782-44.1938616247816
240330.7358.044404157117-27.3444041571171
241330349.14439829037-19.1443982903697
242331.6385.016239237801-53.4162392378012
243351.2467.729214037042-116.529214037042
244389.4449.159994194459-59.7599941944589
245410.9495.415893730725-84.5158937307251
246442.8495.677185930577-52.8771859305765
247462.8422.00849578600740.7915042139935
248466.9409.57189025494657.3281097450541
249461.7400.61544928717261.0845507128278
250439.2389.98476698895249.2152330110477
251430.3380.78377391673149.5162260832685
252416.1394.79641906665221.3035809333480
253402.5394.5309836569257.96901634307512
254397.3407.885219294872-10.5852192948723
255403.3379.70322057748123.5967794225194
256395.9383.01200823275112.8879917672491
257387.8361.54578653748626.2542134625139
258378.6358.74077158157619.8592284184235
259377.1360.75155191324216.3484480867576
260370.4358.58613476896411.8138652310360
261362342.89510507872119.1048949212786
262350.3339.95840822041710.3415917795829
263348.2350.321583503972-2.12158350397190
264344.6352.501669138717-7.90166913871663
265343.5350.35506369478-6.85506369478027
266342.8345.02928089303-2.22928089303035
267347.6347.3786718308540.2213281691461
268346.6344.7429621780231.85703782197685
269349.5341.8250770200617.674922979939
270342.1342.0863692199120.0136307800876341
271342331.00420611348210.9957938865177
272342.8326.35564452404816.4443554759523
273339.3318.60315237816820.6968476218321
274348.2318.69513927494129.5048607250595
275333.7335.473104375149-1.77310437514863
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
283344.6313.99238144531830.6076185546815
284344.4306.63493500662337.7650649933774
285333.9305.20317417568628.6968258243142
286331.7307.49613001248324.2038699875169
287324.3310.10888475509614.1911152449041
288321.2307.39792830089713.8020716991032
289322.4301.43254768751620.9674523124842
290321.7289.65435166842832.0456483315717
291320.5290.19781937341130.3021806265889
292312.8296.36598548067916.4340145193207
293309.7303.8697823122365.83021768776388
294315.6283.96493174536531.6350682546351
295309.7283.37969742982226.3203025701778
296304.6284.69444484883119.9055551511693
297302.5286.53591987741815.9640801225822
298301.5275.66068547475125.8393145252492
299298.8281.43380587483517.3661941251649
300291.3279.83273974081911.4672602591806
301293.6283.9880539114849.61194608851624
302294.6281.37115595899513.2288440410049
303285.9291.245227033656-5.34522703365551
304297.6297.1688410364770.431158963523477
305301.1286.14311303107314.9568869689273
306293.8281.4193046402712.3806953597302
307297.7268.56884170168329.1311582983169
308292.9265.25591083653727.644089163463
309292.1275.61908612009216.4809138799083
310287.2275.76750811789111.4324918821094
311288.2282.2366614306325.96333856936767
312283.8268.97234108452014.8276589154804
313299.9277.05930062668122.8406993733187
314292.4274.61170797727117.7882920227286
315293.3268.70276246491724.5972375350834
316300.8273.74222655165927.0577734483407
317293.7276.73121530111416.9687846988859
318293.1270.42722408157522.6727759184247
319294.4278.06270281552716.3372971844732
320292.1272.69929661309319.4007033869073
321291.9273.7318685269718.1681314730301
322282.5271.60407478337610.8959252166244
323277.9273.3138679095684.58613209043196
324287.5276.26523325833911.2347667416614
325289.2288.4155200743920.78447992560794
326285.6289.090669681769-3.49066968176945
327293.2293.753899761670-0.553899761670378
328290.8290.0835465900250.71645340997548
329283.1293.204217241874-10.1042172418739
330275303.548580825087-28.5485808250866
331287.8287.838739434502-0.0387394345018786
332287.8289.830708065826-2.03070806582573
333287.4302.771086296247-15.3710862962471
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
342341.6356.610339931215-15.0103399312152
343333.4338.304483893422-4.9044838934219
344348.2338.3400356891689.85996431083183
345344.7329.53408832413115.1659116758688
346344.7348.061541556154-3.36154155615392
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
356319.6352.856620794350-33.2566207943504
357317.3346.025901965233-28.7259019652331
358313.8343.503062514455-29.7030625144549
359315.8366.564135528922-50.7641355289218
360311.3381.348060392868-70.0480603928681


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
60.01690540382644760.03381080765289520.983094596173552
70.06297081618662010.1259416323732400.93702918381338
80.2468436518234000.4936873036467990.7531563481766
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3100.9999999527729029.4454195244491e-084.72270976222455e-08
3110.9999999035207171.92958566016419e-079.64792830082094e-08
3120.9999998045617333.90876533135905e-071.95438266567952e-07
3130.9999997304590785.39081843024165e-072.69540921512083e-07
3140.9999995239260389.5214792356085e-074.76073961780425e-07
3150.999999236459491.52708102094789e-067.63540510473947e-07
3160.9999991263526351.74729472977425e-068.73647364887126e-07
3170.9999985915008622.81699827561689e-061.40849913780844e-06
3180.9999978503047544.29939049292609e-062.14969524646304e-06
3190.9999967234352156.55312956935611e-063.27656478467806e-06
3200.999994904439351.01911213020625e-055.09556065103125e-06
3210.9999921067801361.57864397275002e-057.8932198637501e-06
3220.9999849841510633.00316978741223e-051.50158489370612e-05
3230.9999714911363885.70177272231175e-052.85088636115588e-05
3240.999949016243890.0001019675122213535.09837561106764e-05
3250.9999085119980620.0001829760038751269.14880019375629e-05
3260.999833685110370.0003326297792605240.000166314889630262
3270.9997171464415440.0005657071169117330.000282853558455866
3280.999513947485240.0009721050295211980.000486052514760599
3290.9991743384918970.001651323016205720.000825661508102859
3300.998998272676160.002003454647682090.00100172732384104
3310.9982946643469370.003410671306126760.00170533565306338
3320.9972071418399540.005585716320092810.00279285816004640
3330.9959683515449440.00806329691011170.00403164845505585
3340.9955923166386190.008815366722762720.00440768336138136
3350.9985316243558420.002936751288315960.00146837564415798
3360.9999428020121150.0001143959757697995.71979878848994e-05
3370.9999867607717282.64784565434973e-051.32392282717486e-05
3380.9999998385841833.22831633310647e-071.61415816655324e-07
3390.99999999620927.58159858142769e-093.79079929071385e-09
3400.9999999970247525.9504959325074e-092.9752479662537e-09
3410.9999999917385271.65229461143204e-088.26147305716022e-09
3420.999999961797037.64059416697605e-083.82029708348803e-08
3430.9999999293853321.41229336905448e-077.06146684527242e-08
3440.9999997942096154.11580769051400e-072.05790384525700e-07
3450.9999993238777551.35224448963857e-066.76122244819287e-07
3460.9999994680663661.06386726874969e-065.31933634374847e-07
3470.9999972431864455.51362710998818e-062.75681355499409e-06
3480.999989262288142.1475423718205e-051.07377118591025e-05
3490.9999586462649328.27074701365507e-054.13537350682753e-05
3500.9999900863965031.98272069930429e-059.91360349652147e-06
3510.9999398178283160.0001203643433672696.01821716836343e-05
3520.9996696823526020.0006606352947964980.000330317647398249
3530.9998877272106340.0002245455787316540.000112272789365827
3540.9990294852740740.001941029451851580.000970514725925788


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