Multiple Linear Regression - Estimated Regression Equation
USA[t] = + 133.224950912669 + 0.365739299248267Month[t] + 1.88330332389205Colombia[t] + 0.148037063510924t + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)133.2249509126698.28146616.087100
Month0.3657392992482670.4749740.770.4417990.220899
Colombia1.883303323892050.08715121.609800
t0.1480370635109240.0157879.377100


Multiple Linear Regression - Regression Statistics
Multiple R0.775501662206986
R-squared0.601402828085799
Adjusted R-squared0.598043863153937
F-TEST (value)179.044092536135
F-TEST (DF numerator)3
F-TEST (DF denominator)356
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation31.0769825639322
Sum Squared Residuals343817.268919304


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
1255298.113441384726-43.113441384726
2280.2298.627217747485-18.4272177474852
3299.9298.7831664787051.11683352129503
4339.2298.97678127640240.2232187235976
5374.2300.75237086616973.4476291338306
6393.5307.16088663271186.3391133672894
7389.2307.61816389575381.5818361042469
8381.7307.39745196219474.3025480378056
9375.2306.49875083203568.7012491679655
10369305.86371216722063.1362878327805
11357.4305.37933776831652.020662231684
12352.1304.78196516997947.3180348300212
13346.5299.4943924488447.0056075511602
14342.9299.53734298062643.362657019374
15340.3299.26013194735041.0398680526495
16328.3299.05825304703129.2417469529693
17322.9298.89404021318924.0059597868112
18314.3298.76749344582515.5325065541754
19308.9298.67861274493810.2213872550616
20294298.570899010813-4.57089901081322
21285.6297.709863947131-12.1098639471312
22281.2296.13317362037-14.9331736203702
23280.3294.989643058104-14.6896430581044
24278.8294.072108894706-15.2721088947056
25274.5288.859868306522-14.3598683065223
26270.4286.322693284576-15.9226932845764
27263.4269.152251435989-5.75225143598927
28259.9268.347715472024-8.44771547202402
29258271.290953122604-13.2909531226039
30262.7279.130779415303-16.4307794153032
31284.7283.1286669272631.57133307273733
32311.3287.39021690456723.909783095433
33322.1295.02287983163827.0771201683619
34327298.36161118023528.6383888197646
35331.3301.26718276433830.0328172356625
36333.3303.21226965325530.0877303467454
37321.4299.61966992361821.7803300763815
38327298.26897599572528.7310240042755
39320297.59627126443222.4037287355683
40314.7303.40212996732811.2978700326724
41316.7301.7689405408514.9310594591502
42314.4300.02275291493914.3772470850614
43321.3299.14288481801822.1571151819824
44318.2297.99935425575220.2006457442482
45307.2296.81815762700810.3818423729918
46301.3295.2414673002476.05853269975283
47287.5293.627110907008-6.12711090700837
48277.7299.395303543426-21.6953035434264
49274.4294.691554852694-20.2915548526939
50258.8293.3408609248-34.5408609247999
51253.3292.310328561968-39.0103285619676
52251291.468126531525-40.4681265315245
53248.4290.512926301648-42.1129263016479
54249.5289.218731473471-39.7187314734708
55246.1287.943369678533-41.8433696785325
56244.5286.555009684161-42.0550096841607
57243.6285.223148789506-41.6231487895057
58244292.874644749816-48.8746447498158
59240.8297.964848189633-57.1648481896326
60249.8296.990814926517-47.1908149265171
61248290.931087842582-42.9310878425823
62259.4289.618059981166-30.2180599811662
63260.5296.459735512203-35.9597355122027
64260.8296.860513675528-36.0605136755283
65261.3295.396821548201-34.0968215482009
66259.5293.801298188201-34.301298188201
67256.6292.620101559457-36.0201015594573
68257.9291.043411232696-33.1434112326964
69256.5289.805715504236-33.3057155042359
70254.2301.543979677392-47.3439796773918
71253.3298.93147252249-45.6314725224901
72253.8296.431963567022-42.6319635670220
73255.5290.202739183937-34.702739183937
74257.1288.343553358592-31.2435533585922
75257.3286.107706868469-28.807706868469
76253.2289.804265848606-36.6042658486058
77252.8289.658886048003-36.8588860480027
78252287.554870790552-35.554870790552
79250.7285.507354632818-34.807354632818
80252.2283.196176009739-30.9961760097391
81250288.606541014618-38.6065410146176
82251290.099635105801-39.0996351058007
83253.4289.91658923872-36.5165892387198
84251.2287.680742748597-36.4807427485966
85255.6283.184157423492-27.5841574234922
86261.1281.004810033086-19.9048100330857
87258.9279.748281271386-20.8482812713865
88259.9280.205558534429-20.3055585344289
89261.2280.079011767065-18.8790117670648
90264.7279.368640969294-14.6686409692941
91267.1276.887965047065-9.78796504706494
92266.4280.207863362423-13.8078633624233
93267.7281.738623520084-14.0386235200842
94268.6279.578109162917-10.9781091629166
95267.5278.660574999518-11.1605749995179
96268.5280.624494921674-12.124494921674
97268.5274.037442907049-5.53744290704943
98270.5271.274271486236-0.774271486236447
99270.9274.481171602161-3.5811716021613
100270.1268.9872103617051.11278963829518
101269.3264.2465704508055.0534295491948
102269.8267.9242963977031.87570360229696
103270.1264.6338000462005.46619995379971
104264.9261.9836268248212.91637317517912
105263.7265.925015237064-2.22501523706359
106264.8262.9170143841451.88298561585537
107263.7269.60802564927-5.90802564926975
108255.9270.084135945551-14.1841359455511
109276.2276.736706297888-0.536706297887616
110360.1295.36786063648864.7321393635117
111380.5323.52852979398356.9714702060173
112373.7326.6977638434347.0022361565703
113369.8329.09484353008140.7051564699191
114366.6327.64998443599238.9500155640076
115359.3325.15047548052434.1495245194757
116345.8322.74513169125123.0548683087492
117326.2319.8689620710046.33103792899566
118324.5318.1604405115716.33955948842908
119328.1320.6516853644177.44831463558327
120327.5317.7943487774099.70565122259083
121324.4310.92480126420113.4751987357992
122316.5308.7642869070337.7357130929667
123310.9306.3966091842384.50339081576231
124301.5304.179595727353-2.67959572735338
125291.7301.962582270469-10.2625822704691
126290.4300.046897345408-9.64689734540759
127287.4298.093546353868-10.6935463538682
128277.7296.422690860913-18.7226908609126
129281.6294.977831766824-13.3778317668240
130288298.297730082182-10.2977300821824
131276301.918956929363-25.9189569293635
132272.9300.568263001470-27.6682630014696
133283296.919164172117-13.9191641721165
134283.3301.048882916748-17.7488829167485
135276.8298.361043628891-21.5610436288912
136284.5300.419128717242-15.9191287172419
137282.7299.689924886232-16.9899248862323
138281.2297.077417731331-15.8774177313307
139287.4294.803905174730-7.40390517472968
140283.1292.605724751084-9.50572475108426
141284290.332212194483-6.33221219448327
142285.5293.426114110975-7.92611411097454
143289.2302.094593866186-12.8945938661863
144292.5299.91524647578-7.41524647577987
145296.4296.1719824802320.22801751976767
146305.2290.97934977159914.2206502284014
147303.9289.81698617609414.0830138239061
148311.5302.4969020111969.00309798880434
149316.3299.82789575657716.4721042434227
150316.7301.88598084492814.8140191550720
151322.5301.40160644602421.0983935539756
152317.1299.09042782294518.0095721770545
153309.8296.68508403367213.114915966328
154303.8296.5020381665917.29796183340885
155290.3297.976299224535-7.67629922453527
156293.7295.420291169350-1.72029116935046
157291.7288.2494151243193.45058487568064
158296.5285.37324550407311.1267544959271
159289.1289.615962448138-0.515962448138259
160288.5294.27300612346-5.77300612345998
161293.8291.6039998688422.19600013115839
162297.7289.0856578801358.61434211986537
163305.4286.79331229029518.6066877097053
164302.7284.48213366721618.2178663327842
165302.5296.8418879372565.65811206274406
166303295.8113555744247.18864442557634
167294.5293.6696742504950.830325749504923
168294.1291.3773286606552.72267133934492
169294.5285.0916051778539.40839482214674
170297.1283.43958271813713.6604172818634
171289.4286.2886552025223.11134479747804
172292.4293.695321730726-1.29532173072603
173287.9292.024466237770-4.12446623777045
174286.6290.353610744815-3.75361074481483
175280.5288.776920418054-8.27692041805388
176272.4287.087231891859-14.6872318918594
177269.2284.776053268781-15.5760532687805
178270.6288.623276514829-18.0232765148286
179267.3287.988237850014-20.6882378500136
180262.5286.11021899143-23.6102189914299
181266.8282.23512376321-15.4351237632099
182268.8275.667679628135-6.867679628135
183263.1272.678511808455-9.57851180845498
184261.2271.949307977445-10.7493079774455
185266271.238937179675-5.23893717967482
186262.5270.509733348665-8.00973334866525
187265.2263.8669570806351.33304291936531
188261.3258.0716673083553.22833269164452
189253.7257.530793809735-3.83079380973516
190249.2256.989920311115-7.78992031111481
191239.1256.486712878972-17.3867128789723
192236.4255.945839380352-19.5458393803519
193235.2251.129092490186-15.9290924901859
194245.2250.738883257477-5.53888325747689
195246.2250.367507058007-4.16750705800683
196247.7255.796705096124-8.09670509612426
197251.4256.931971555768-5.53197155576781
198253.3256.127435591803-2.82743559180258
199254.8255.699560292616-0.899560292615746
200250268.096980629134-18.0969806291338
201249.3267.574940163752-18.2749401637523
202241.5267.052899698371-25.5528996983709
203243.3267.039351130440-23.7393511304403
204248266.065317867325-18.0653178673248
205253261.305070076875-8.3050700768755
206252.9274.719474208295-21.8194742082952
207251.5312.240160885533-60.7401608855331
208251.6310.550472359339-58.9504723593386
209253.5309.482273930028-55.9822739300285
210259.8311.804021483724-52.004021483724
211334.1309.90716959190124.1928304080986
212448347.333691102945100.666308897055
213445.8374.59037466497171.209625335029
214445380.01957270308864.9804272969117
215448.2380.02485716839768.1751428316033
216438.2372.85475596967665.3452440303236
217439.8365.26955319338974.530446806611
218423.4364.08835656464559.3116434353546
219410.8360.68486201370950.1151379862909
220408.4359.72966178383348.6703382161675
221406.7365.94984721798540.7501527820154
222405.9360.09805834598945.8019416540113
223402.7356.92056019391945.7794398060806
224405.1350.54144639123454.5585536087663
225399.6348.28676686787251.3132331321284
226386.5342.67980742798243.8201925720183
227381.4343.41958018960837.9804198103921
228375.2343.76385925321731.4361407467832
229357.7328.00512005123829.694879948762
230359333.41548505611625.5845149438835
231355333.08177492312421.9182250768758
232352.7328.05863951364124.6413604863592
233344.4329.98489336931914.4151066306809
234343.8328.31403787636315.4859621236365
235338333.9127332136314.08726678636881
236339364.163869060646-25.1638690606458
237333.3368.312420838517-35.0124208385166
238334.4373.590954610723-39.1909546107227
239328.3374.180063106438-45.8800631064376
240330.7360.079405675794-29.3794056757945
241330347.145621459654-17.1456214596537
242331.6383.423327943123-51.8233279431228
243351.2466.595287191504-115.395287191504
244389.4448.370195481537-58.9701954815373
245410.9495.043736312891-84.1437363128906
246442.8495.670510875083-52.8705108750832
247462.8422.28346480831940.5165351916815
248466.9410.1979419342456.70205806576
249461.7401.59653020936260.1034697906383
250439.2391.31897852621947.8810214737806
251430.3382.47273736923547.8272626307649
252416.1396.86645922907919.2335407709213
253402.5392.5770372696029.92296273039758
254397.3406.311602966084-9.0116029660838
255403.3378.46283127102924.8371687289712
256395.9382.14055721792713.7594427820734
257387.8361.01517838916626.7848216108338
258378.6358.57216853341520.0278314665852
259377.1360.95041518682716.1495848131728
260370.4359.14772846119911.2522715388008
261362343.80409083678718.1959091632127
262350.3341.2292497483649.07075025163648
263348.2351.969363159857-3.76936315985657
264344.6354.517107112419-9.91710711241913
265343.5348.344381829051-4.84438182905084
266342.8343.377745519284-0.577745519284172
267347.6346.0949867709971.50501322900297
268346.6343.8214742143962.778525785604
269349.5341.2654661592118.23453384078883
270342.1341.8922407214040.207759278596141
271342331.16269624052810.8373037594724
272342.8326.87404912736215.9259508726380
273339.3319.47795152977519.8220484702254
274348.2319.93522879281728.2647712071829
275333.7337.097406538782-3.39740653878196
276334.7360.643982552741-25.9439825527409
277354339.34833157851914.6516684214806
278367.7330.27609402266837.4239059773319
279363.3332.84267100847030.4573289915304
280358.4325.50307251059932.896927489401
281353.1323.85105005088229.2489499491177
282343.1314.21382149786328.8861785021367
283344.6314.12494079697730.4750592030229
284344.4307.12433689740737.2756631025930
285333.9306.05613846809727.8438615319031
286331.7308.71688062009322.9831193799069
287324.3311.69778433715112.6022156628492
288321.2309.34893964759411.8510603524059
289322.4299.35310861672523.0468913832751
290321.7287.92674190600933.7732580939914
291320.5288.83601196678531.6639880332149
292312.8295.37635896599917.4236410340012
293309.7303.2538513251766.4461486748241
294315.6283.69161425524631.9083857447542
295309.7283.47090232168726.2290976783128
296304.6285.15232674525919.4476732547406
297302.5287.36107609952115.1389239004785
298301.5276.83869498427324.6613050157267
299298.8282.98354828547015.8164517145303
300291.3281.7458525570099.55414744299075
301293.6281.88219340867911.7178065913207
302294.6279.62751388531714.9724861146828
303285.9289.877968432598-3.97796843259828
304297.6296.1734859997061.42651400029400
305301.1285.50044061854615.5995593814536
306293.8281.13646137242512.6635386275748
307297.7268.63661176709029.0633882329096
308292.9265.68511001388827.2148899861117
309292.1276.42522342538115.6747765746188
310287.2276.93899978814010.2610002118596
311288.2283.7806753191774.4193246808231
312283.8270.86649898258612.9335010174142
313299.9274.9389437811924.9610562188098
314292.4272.85376155697819.5462384430216
315293.3267.30330121680525.9966987831948
316300.8272.71366622168428.0863337783163
317293.7276.0712306035217.6287693964801
318293.1270.12527656532922.9747234346707
319294.4278.13460015717916.2653998428211
320292.1273.13029778093418.9697022190657
321291.9274.52922670592317.3707732940772
322282.5272.7642060467739.73579395322735
323277.9274.8411241683623.05887583163774
324287.5278.1610224837219.33897751627943
325289.2286.3014024619322.89859753806818
326285.6287.342503755381-1.74250375538075
327293.2292.3762080954810.823791904519113
328290.8289.0668787107391.73312128926081
329283.1292.556274325248-9.45627432524781
330275303.277554703502-28.2775547035019
331287.8287.915084045851-0.115084045851151
332287.8290.274497666025-2.47449766602455
333287.4303.594736631250-16.1947366312497
334284301.942714171533-17.942714171533
335277.8317.918410823446-40.1184108234459
336277.6336.568398195286-58.9683981952855
337304.9334.143446526462-29.2434465264624
338294360.420812360065-66.4208123600647
339300.9387.206670091118-86.306670091118
340324373.689836690881-49.6898366908814
341332.9368.779699480831-35.8796994808315
342341.6356.39284807493-14.7928480749302
343333.4338.431418830308-5.03141883030843
344348.2338.8321969936349.36780300636593
345344.7330.38144953466714.3185504653329
346344.7349.295099371852-4.59509937185162
347329.3356.890096232445-27.5900962324449
348323.5357.535703827877-34.0357038278765
349323.2382.493982488444-59.2939824884437
350317.4365.285874573379-47.8858745733788
351330.1354.405665826591-24.3056658265910
352329.2357.122907078304-27.9229070783040
353334.9351.101620907158-16.2016209071578
354315.8338.451107035912-22.6511070359115
355315.4341.300179520297-25.9001795202969
356319.6353.358605258514-33.7586052585143
357317.3346.885326289634-29.585326289634
358313.8344.724811932466-30.9248119324665
359315.8368.177222780231-52.3772227802308
360311.3383.34309900287-72.0430990028701


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
70.1525180421472440.3050360842944890.847481957852755
80.3812953287985430.7625906575970870.618704671201457
90.5521967958100990.8956064083798020.447803204189901
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3080.9999999793796124.1240776242797e-082.06203881213985e-08
3090.999999963075697.38486198113183e-083.69243099056591e-08
3100.9999999269850731.46029854733957e-077.30149273669785e-08
3110.9999998584472132.83105573228237e-071.41552786614118e-07
3120.9999997251229675.49754066259366e-072.74877033129683e-07
3130.9999995871763518.256472974128e-074.128236487064e-07
3140.9999992450136981.50997260462847e-067.54986302314235e-07
3150.9999987398059832.52038803478766e-061.26019401739383e-06
3160.9999984913650463.01726990841515e-061.50863495420758e-06
3170.9999975464206024.90715879636592e-062.45357939818296e-06
3180.9999962288099597.54238008228105e-063.77119004114053e-06
3190.9999943019951981.13960096032939e-055.69800480164694e-06
3200.999991273000231.74539995405076e-058.7269997702538e-06
3210.99998690627692.61874461996315e-051.30937230998158e-05
3220.9999756771413454.86457173095208e-052.43228586547604e-05
3230.9999539638351959.20723296091406e-054.60361648045703e-05
3240.9999234492239230.0001531015521531077.65507760765536e-05
3250.9998599059114640.000280188177072840.00014009408853642
3260.999747631109820.0005047377803598270.000252368890179914
3270.9995616604562730.0008766790874529560.000438339543726478
3280.9992401547830440.001519690433911790.000759845216955897
3290.9987409734570340.002518053085932640.00125902654296632
3300.9985247827744570.002950434451085010.00147521722554251
3310.997545258495820.004909483008359060.00245474150417953
3320.9960837841549480.007832431690104180.00391621584505209
3330.9944044999209740.01119100015805270.00559550007902634
3340.9937920894837740.01241582103245160.00620791051622582
3350.9975024235021480.004995152995703440.00249757649785172
3360.999938218803530.0001235623929389596.17811964694796e-05
3370.999974833586845.0332826321577e-052.51664131607885e-05
3380.9999994983794061.00324118794562e-065.01620593972812e-07
3390.9999999847380783.05238430549174e-081.52619215274587e-08
3400.9999999869729582.60540835791899e-081.30270417895950e-08
3410.9999999638028547.23942914450505e-083.61971457225253e-08
3420.999999836831593.2633681893593e-071.63168409467965e-07
3430.9999996888019246.22396152868475e-073.11198076434238e-07
3440.999999073125821.85374835989413e-069.26874179947065e-07
3450.9999969127343016.17453139703702e-063.08726569851851e-06
3460.9999975972540124.80549197651771e-062.40274598825885e-06
3470.9999891977319062.16045361873419e-051.08022680936709e-05
3480.9999474473431830.0001051053136349735.25526568174866e-05
3490.9998012678278380.0003974643443234350.000198732172161717
3500.9999303898764360.0001392202471279316.96101235639656e-05
3510.9995958153108140.000808369378371310.000404184689185655
3520.9978692366247310.004261526750537440.00213076337526872
3530.9986222253252210.002755549349557340.00137777467477867


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level1540.443804034582133NOK
5% type I error level2050.590778097982709NOK
10% type I error level2370.68299711815562NOK