Multiple Linear Regression - Estimated Regression Equation
Y[t] = + 165.550097611687 + 1.84168315889568X[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)165.5500976116877.74053521.387400
X1.841683158895680.0970118.984400


Multiple Linear Regression - Regression Statistics
Multiple R0.708290117736513
R-squared0.501674890883204
Adjusted R-squared0.500282921304665
F-TEST (value)360.406505011356
F-TEST (DF numerator)1
F-TEST (DF denominator)358
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation34.6506677711257
Sum Squared Residuals429839.422160604


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
1255326.292203720102-71.2922037201019
2280.2326.292203720102-46.0922037201021
3299.9325.942283919912-26.0422839199118
4339.2325.62919778289913.5708022171005
5374.2326.8631254993647.3368745006404
6393.5332.62759378670360.8724062132969
7389.2332.57234329193656.6276567080638
8381.7331.85408685996749.8459131400331
9375.2330.47282449079544.7271755092048
10369329.34939776386939.6506022361312
11357.4328.37330568965429.0266943103459
12352.1327.28671262590624.8132873740944
13346.5325.90545025673420.5945497432662
14342.9325.4450294670117.4549705329901
15340.3324.67152254027415.6284774597263
16328.3323.9716829398934.32831706010664
17322.9323.308677002691-0.408677002690947
18314.3322.682504728666-8.38250472866637
19308.9322.09316611782-13.1931661178198
20294321.485410675384-27.4854106753842
21285.6320.14098196939-34.5409819693903
22281.2318.096713663016-36.8967136630162
23280.3316.476032483188-36.1760324831879
24278.8315.076353282427-36.2763532824272
25274.5313.768758239611-39.2687582396113
26270.4310.7852315222-40.3852315222003
27263.4293.49182666017-30.0918266601698
28259.9292.202648448943-32.3026484489428
29258294.578419723918-36.5784197239183
30262.7301.742567212022-39.0425672120225
31284.7305.149681055979-20.4496810559795
32311.3308.8146305421822.4853694578181
33322.1315.7761928828086.32380711719245
34327318.5387176211518.4612823788489
35331.3320.87765523294910.4223447670514
36333.3322.27733443370911.0226655662907
37321.4322.553586907544-1.15358690754372
38327320.7303205802376.26967941976302
39320319.5700601901330.429939809867317
40314.7324.74518986663-10.0451898666296
41316.7322.645671065489-5.94567106548849
42314.4320.435651274814-6.03565127481367
43321.3319.0728057372312.22719426276916
44318.2317.4521245574030.747875442597327
45307.2315.794609714397-8.59460971439655
46301.3313.750341408022-12.4503414080223
47287.5311.66923943847-24.1692394384702
48277.7316.807535451789-39.1075354517892
49274.4315.997194861875-41.5971948618751
50258.8314.173928534568-55.3739285345683
51253.3312.663748344274-59.3637483442739
52251311.337736469869-60.337736469869
53248.4309.90122360593-61.5012236059303
54249.5308.13320777339-58.6332077733905
55246.1306.38360877244-60.2836087724396
56244.5304.523508781955-60.0235087819549
57243.6302.718659286237-59.1186592862372
58244309.698638458452-65.6986384584518
59240.8314.173928534568-73.3739285345683
60249.8312.718998839041-62.9189988390407
61248310.582646374722-62.5826463747217
62259.4308.796213710593-49.396213710593
63260.5314.984269124482-54.4842691244824
64260.8314.873768134949-54.0737681349487
65261.3312.940000818108-51.6400008181082
66259.5310.877315680145-51.3773156801451
67256.6309.219800837139-52.6198008371389
68257.9307.175532530765-49.2755325307648
69256.5305.462767192992-48.9627671929917
70254.2316.43919882001-62.23919882001
71253.3313.382004776243-60.0820047762432
72253.8310.43531172201-56.6353117220101
73255.5308.13320777339-52.6332077733905
74257.1305.812686993182-48.7126869931819
75257.3303.123829581194-45.8238295811942
76253.2306.236274119728-53.0362741197279
77252.8305.591685014114-52.7916850141144
78252303.031745423249-51.0317454232495
79250.7300.527056327151-49.8270563271513
80252.2297.764531588808-45.5645315888078
81250302.552907801937-52.5529078019366
82251303.510583044562-52.5105830445623
83253.4302.829160275771-49.4291602757709
84251.2300.140302863783-48.9403028637832
85255.6299.532547421348-43.9325474213476
86261.1296.898940504127-35.7989405041268
87258.9295.167758334765-36.2677583347649
88259.9295.112507839998-35.212507839998
89261.2294.486335565973-33.2863355659735
90264.7293.289241512691-28.5892415126913
91267.1290.360965290047-23.2609652900471
92266.4293.105073196802-26.7050731968017
93267.7294.099582102605-26.3995821026054
94268.6291.484392016974-22.8843920169735
95267.5290.084712816213-22.5847128162128
96268.5291.502808848562-23.0028088485625
97268.5288.850785099753-20.3507850997527
98270.5285.646256403274-15.1462564032742
99270.9288.279863320495-17.379863320495
100270.1282.404894043618-12.3048940436178
101269.3277.266598030299-7.96659803029881
102269.8280.360625737244-10.5606257372436
103270.1276.640425756274-6.54042575627427
104264.9273.54639804933-8.64639804932957
105263.7276.89826139852-13.1982613985197
106264.8273.454313891385-8.65431389138475
107263.7279.495034652563-15.7950346525626
108255.9279.458200989385-23.5582009893847
109276.2289.753209847612-13.5532098476116
110360.1307.47020183618852.629798163812
111380.5334.50611060877745.9938893912233
112373.7337.1028838628236.5971161371804
113369.8338.94456702171530.8554329782847
114366.6337.02921653646429.5707834635363
115359.3334.08252348223125.2174765177693
116345.8331.22791458594214.5720854140577
117326.2327.91288489993-1.71288489993015
118324.5325.739698772433-1.23969877243324
119328.1327.6734660892740.426533910726318
120327.5324.376853234853.12314676514958
121324.4321.4485770122062.95142298779368
122316.5318.833386926574-2.33338692657442
123310.9316.015611693464-5.11561169346405
124301.5313.345171113065-11.8451711130653
125291.7310.674730532667-18.9747305326665
126290.4308.298959257691-17.8989592576911
127287.4305.886354319538-18.4863543195378
128277.7303.750001855219-26.0500018552188
129281.6301.834651369967-20.2346513699672
130288304.578759276722-16.5787592767218
131276307.6175364889-31.6175364888997
132272.9305.794270161593-32.894270161593
133283306.01527214066-23.0152721406604
134283.3309.55130380574-26.2513038057402
135276.8306.420442435617-29.6204424356175
136284.5307.930622625912-23.430622625912
137282.7306.715111741041-24.0151117410408
138281.2303.657917697274-22.457917697274
139287.4300.932226622108-13.5322266221084
140283.1298.280202873299-15.1802028732985
141284295.554511798133-11.554511798133
142285.5298.07761772582-12.57761772582
143289.2306.052105803838-16.8521058038384
144292.5303.418498886618-10.9184988866175
145296.4303.54741670774-7.14741670774027
146305.2297.9671167362867.23288326371366
147303.9296.3280187248697.57198127513081
148311.5308.2252919313353.27470806866473
149316.3305.11284739280211.1871526071984
150316.7306.62302758309610.076972416904
151322.5305.64693550888116.8530644911187
152317.1302.88441077053814.2155892294622
153309.8300.0298018742499.77019812575054
154303.8299.3483791054584.45162089454192
155290.3300.287637516495-9.98763751649486
156293.7297.285693967495-3.58569396749493
157291.7294.062748439427-2.36274843942748
158296.5290.7477187534155.75228124658476
159289.1294.394251408029-5.29425140802865
160288.5298.445954357599-9.94595435759919
161293.8295.333509819066-1.53350981906547
162297.7292.3683999332435.33160006675655
163305.4289.62429202648915.7757079735111
164302.7286.86176728814515.8382327118546
165302.5298.4459543575994.05404564240081
166303296.9357741673056.06422583269526
167294.5294.3390009132620.160999086738169
168294.1291.5948930065072.50510699349278
169294.5289.2375385631215.26246143687923
170297.1287.1196029303919.98039706960928
171289.4289.403290047421-0.00329004742140781
172292.4296.14385040898-3.7438504089796
173287.9294.007497944661-6.10749794466062
174286.6291.871145480342-5.27114548034158
175280.5289.826877173967-9.3268771739674
176272.4287.672107878059-15.2721078780595
177269.2284.909583139716-15.7095831397159
178270.6288.169362330961-17.5693623309612
179267.3287.045935604035-19.7459356040349
180262.5284.706997992237-22.2069979922374
181266.8284.706997992237-17.9069979922374
182268.8277.78226931479-8.9822693147896
183263.1274.356738639244-11.2567386392436
184261.2273.141227754372-11.9412277543725
185266271.94413370109-5.94413370109031
186262.5270.728622816219-8.22862281621915
187265.2263.7302268124161.46977318758444
188261.3257.5605882301153.739411769885
189253.7256.529245661133-2.82924566113343
190249.2255.497903092152-6.29790309215186
191239.1254.503394186348-15.4033941863482
192236.4253.472051617367-17.0720516173666
193235.2252.551210037919-17.3512100379188
194245.2251.667202121649-6.46720212164882
195246.2250.801611036968-4.60161103696785
196247.7255.608404081686-7.90840408168559
197251.4256.216159524121-4.81615952412114
198253.3254.926981312894-1.62698131289416
199254.8254.0061397334460.793860266553678
200250265.627160466078-15.6271604660781
201249.3264.614234728685-15.3142347286855
202241.5263.601308991293-22.1013089912929
203243.3263.085637706802-19.785637706802
204248261.630708011274-13.6307080112745
205253260.765116926594-7.7651169265935
206252.9273.380646565029-20.4806465650289
207251.5309.569720637329-58.0697206373291
208251.6307.414951341421-55.8149513414212
209253.5305.867937487949-52.3679374879488
210259.8307.635953320489-47.8359533204887
211334.1305.27859887710228.8214011228978
212448341.375588791458106.624411208542
213445.8367.52748964777678.2725103522237
214445372.33428269249472.665717307506
215448.2371.83702823959276.3629717604078
216438.2364.32296095129873.8770390487022
217439.8360.69484512827379.1051548717267
218423.4359.03733028526764.3626697147328
219410.8355.20662931476455.5933706852358
220408.4353.77011645082654.6298835491744
221406.7359.35041642227947.3495835777205
222405.9353.12552734521252.7744726547879
223402.7349.51582835377653.1841716462235
224405.1342.77526799221862.3247320077817
225399.6340.06799374864259.5320062513583
226386.5334.08252348223152.4174765177693
227381.4334.30352546129847.0964745387018
228375.2334.13777397699841.0622260230024
229357.7322.51675324436635.1832467556342
230359327.30512945749531.6948705425054
231355326.47637203599228.5236279640085
232352.7321.06182354883831.6381764511618
233344.4322.4430859180121.95691408199
234343.8320.30673345369123.493266546309
235338325.27927798270912.7207220172907
236339354.359455061672-15.3594550616722
237333.3357.913903558341-24.6139035583408
238334.4362.573361950347-28.1733619503469
239328.3362.647029276703-34.3470292767027
240330.7348.355567963672-17.6555679636723
241330339.497071969384-9.497071969384
242331.6374.470635156813-42.870635156813
243351.2455.302109000745-104.102109000745
244389.4436.977361569733-47.5773615697326
245410.9482.117015794266-71.2170157942658
246442.8482.2275167838-39.4275167837995
247462.8409.95986962873352.8401303712671
248466.9397.63900929572169.2609907042792
249461.7388.72526280666672.9747371933343
250439.2378.17241830619361.0275816938066
251430.3369.01925300648261.2807469935182
252416.1382.59245788754333.507542112457
253402.5382.18728759258620.3127124074141
254397.3395.1159033680342.18409663196633
255403.3367.38015499506535.9198450049353
256395.9370.47418270200925.4258172979906
257387.8349.31324320629838.486756793702
258378.6346.42180064683232.1781993531683
259377.1348.24506697413928.8549330258615
260370.4345.97979668869724.4202033113032
261362330.47282449079531.5271755092049
262350.3327.45246411020622.8475358897938
263348.2337.4528036630110.7471963369902
264344.6339.4418214746175.1581785253829
265343.5337.1949680207646.30503197923561
266342.8331.83567002837810.964329971622
267347.6333.99043932428613.6095606757141
268346.6331.2647482491215.3352517508797
269349.5328.2628047001221.2371952998797
270342.1328.37330568965413.726694310346
271342317.37845723104724.6215427689532
272342.8312.68216517586330.1178348241372
273339.3304.94709590850134.3529040914991
274348.2304.89184541373443.3081545862659
275333.7321.17232453837212.5276754616281
276334.7343.696109571666-8.99610957166617
277354326.66054035188127.3394596481189
278367.7317.28637307310250.4136269268979
279363.3319.29380771629844.0061922837017
280358.4311.61398894370346.7860110562966
281353.1309.49605331097343.6039466890267
282343.1299.56938108452643.5306189154745
283344.6298.98004247367945.6199575263211
284344.4291.63172666968552.7682733303148
285333.9290.08471281621343.8152871837872
286331.7292.18423161735439.5157683826461
287324.3294.59683655550729.7031634444928
288321.2291.79747815398629.4025218460142
289322.4285.81200788757536.5879921124252
290321.7274.13573666017647.5642633398238
291320.5274.52249012354445.9775098764557
292312.8280.4158762320132.3841237679896
293309.7287.61685738329322.0831426167074
294315.6267.98451490946547.6154850905355
295309.7267.26625847749542.4337415225047
296304.6268.40810203601136.1918979639894
297302.5270.06561687901732.4343831209833
298301.5259.27335356788842.226646432112
299298.8264.77998621298634.0200137870139
300291.3263.06722087521328.2327791247869
301293.6266.99000600366126.6099939963391
302294.6264.28273176008430.3172682399158
303285.9273.80423369157512.095766308425
304297.6279.45820098938518.1417990106153
305301.1268.51860302554432.5813969744557
306293.8263.74864364400530.0513563559955
307297.7251.02261301603546.6773869839647
308292.9247.63391600366745.2660839963327
309292.1257.63425555647134.4657444435292
310287.2257.63425555647129.5657444435292
311288.2263.8223109703624.3776890296397
312283.8250.69111004743433.1088899525659
313299.9258.46301297797441.4369870220261
314292.4255.92149021869836.4785097813021
315293.3249.99127044705443.3087295529463
316300.8254.77964666018346.0203533398175
317293.7257.56058823011536.139411769885
318293.1251.24361499510341.8563850048972
319294.4258.57351396750835.8264860324924
320292.1253.17738231194338.9226176880568
321291.9254.04297339662437.8570266033757
322282.5251.8145367743630.6854632256395
323277.9253.34313379624424.5568662037561
324287.5256.08724170299831.4127582970016
325289.2267.83718025675321.3628197432471
326285.6268.35285154124417.2471484587563
327293.2272.77289112259320.4271088774066
328290.8269.03427431003521.7657256899649
329283.1271.9441337010911.1558662989097
330275281.926056422305-6.9260564223049
331287.8266.40066739281421.3993326071857
332287.8268.20551688853219.5944831114679
333287.4280.7289623690236.67103763097727
334284278.6110267362935.38897326370732
335277.8293.731245470826-15.9312454708262
336277.6311.466654290992-33.8666542909917
337304.9312.884750323341-7.98475032334138
338294338.078975937034-44.0789759370343
339300.9363.770456003629-62.8704560036291
340324350.049916469856-26.0499164698563
341332.9344.745868972237-11.8458689722367
342341.6332.1303393338019.46966066619876
343333.4314.06342754503519.3365724549654
344348.2313.95292655550134.2470734444991
345344.7305.18651471915739.5134852808426
346344.7323.17975918156821.5202408184318
347329.3330.104487859016-0.804487859015983
348323.5330.233405680139-6.7334056801387
349323.2358.429574842832-35.2295748428316
350317.4341.099336317623-23.6993363176232
351330.1329.9571532063040.142846793695679
352329.2332.111922502212-2.91192250221231
353334.9325.7212819408449.1787180591557
354315.8312.8479166601632.95208333983656
355315.4315.1316037771940.268396222805889
356319.6326.421121541225-6.8211215412246
357317.3319.588477021722-2.28847702172164
358313.8316.97328693609-3.17328693608976
359315.8339.404987811439-23.6049878114392
360311.3353.733282787648-42.4332827876476


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
50.930549305670530.1389013886589390.0694506943294697
60.8752179379821860.2495641240356280.124782062017814
70.7989922186583070.4020155626833860.201007781341693
80.7067531501245560.5864936997508880.293246849875444
90.6132315487878950.773536902424210.386768451212105
100.5339607742405710.9320784515188580.466039225759429
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3070.9999999999788674.22654913240678e-112.11327456620339e-11
3080.9999999999605597.8881232019302e-113.9440616009651e-11
3090.9999999999146531.70694088848477e-108.53470444242384e-11
3100.9999999998116823.76635987113931e-101.88317993556965e-10
3110.9999999995857328.28535484765238e-104.14267742382619e-10
3120.9999999991188831.76223444291195e-098.81117221455976e-10
3130.9999999984399973.12000630105175e-091.56000315052587e-09
3140.9999999967604026.47919639578432e-093.23959819789216e-09
3150.999999993911511.217698070641e-086.08849035320502e-09
3160.9999999907706421.84587152006805e-089.22935760034024e-09
3170.999999981508963.69820795138261e-081.84910397569131e-08
3180.9999999659648276.80703458198875e-083.40351729099437e-08
3190.9999999339956571.32008686245801e-076.60043431229005e-08
3200.9999998759047712.4819045823041e-071.24095229115205e-07
3210.9999997674437314.6511253738148e-072.3255626869074e-07
3220.9999995136835589.72632883587938e-074.86316441793969e-07
3230.9999990158642291.96827154237094e-069.8413577118547e-07
3240.999998012345223.97530955970235e-061.98765477985117e-06
3250.9999959132999958.17340000931599e-064.086700004658e-06
3260.999991880102611.62397947801698e-058.11989739008488e-06
3270.9999837498676643.25002646729149e-051.62501323364574e-05
3280.9999680076677016.39846645988739e-053.19923322994369e-05
3290.9999431205247460.0001137589505081915.68794752540954e-05
3300.9999395903340780.0001208193318432696.04096659216346e-05
3310.999889511909710.0002209761805793510.000110488090289675
3320.999809736769050.0003805264618992450.000190263230949622
3330.9997365274997350.0005269450005304680.000263472500265234
3340.9997602900882330.0004794198235341920.000239709911767096
3350.9999538015686739.23968626538159e-054.61984313269079e-05
3360.9999986891137592.62177248211331e-061.31088624105665e-06
3370.9999992874506951.42509860975151e-067.12549304875755e-07
3380.9999998361463263.27707348154549e-071.63853674077275e-07
3390.999999794935164.10129679126306e-072.05064839563153e-07
3400.9999993476653031.30466939425922e-066.52334697129608e-07
3410.99999858674662.82650680075372e-061.41325340037686e-06
3420.999998344569243.31086152040174e-061.65543076020087e-06
3430.9999947725109361.04549781284397e-055.22748906421986e-06
3440.9999961090069617.78198607730584e-063.89099303865292e-06
3450.999996743315656.51336870045378e-063.25668435022689e-06
3460.9999994749075071.05018498657304e-065.25092493286522e-07
3470.9999985934082362.8131835278355e-061.40659176391775e-06
3480.9999936867650471.26264699066899e-056.31323495334495e-06
3490.9999733772582235.32454835539452e-052.66227417769726e-05
3500.999885646515610.0002287069687796220.000114353484389811
3510.9997539431377710.0004921137244580570.000246056862229029
3520.9995254078867740.0009491842264513550.000474592113225678
3530.9999941013937321.17972125357719e-055.89860626788593e-06
3540.999919551658310.0001608966833808078.04483416904033e-05
3550.9990659572781470.001868085443705280.00093404272185264


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level1380.393162393162393NOK
5% type I error level2260.643874643874644NOK
10% type I error level2570.732193732193732NOK