Multiple Linear Regression - Estimated Regression Equation
Y[t] = + 170.018050942712 -0.185865384723691X[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)170.0180509427128.53385719.922800
X-0.1858653847236910.042221-4.40222.1e-051e-05


Multiple Linear Regression - Regression Statistics
Multiple R0.345468222898485
R-squared0.119348293032637
Adjusted R-squared0.113189889487411
F-TEST (value)19.3797454415195
F-TEST (DF numerator)1
F-TEST (DF denominator)143
p-value2.08334234278462e-05
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation29.6276045773387
Sum Squared Residuals125524.678277733


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
1100151.431512470344-51.4315124703439
2103.53150.944545162367-47.4145451623672
3108.36150.015218238749-41.6552182387489
4115.2150.788418239199-35.5884182391994
5123.51150.760538431491-27.2505384314908
6132.87150.297733623529-17.4277336235289
7130.55150.106292277263-19.5562922772635
8136.68149.792179777080-13.1121797770804
9140.63149.028273045866-8.39827304586606
10143.47149.693671123177-6.22367112317687
11124.1149.805190354011-25.7051903540111
12111.49149.418590353786-37.9285903537858
13119.93149.396286507619-29.4662865076190
14131.79148.650966314877-16.8609663148770
15136.61147.630565352744-11.0205653527439
16141.79147.177053814018-5.38705381401811
17142.23147.634282660438-5.40428266043839
18146.74147.387081698756-0.64708169875586
19154.85147.1974990063387.65250099366229
20148.44146.7254009291401.71459907086046
21154.18146.1008932364688.07910676353207
22149.1146.2440095827052.85599041729482
23152.22146.6882278521955.5317721478052
24149.34146.3090624673583.03093753264154
25160.94146.24586823655214.6941317634476
26176.16145.71615189009030.4438481099101
27195.12145.19201150516949.9279884948309
28186.07144.77195573569441.2980442643065
29200.78144.87789900498655.902100995014
30208.15144.74221727413863.4077827258623
31209.56144.16045861995365.3995413800474
32203.33144.43553938934458.8944606106564
33198.84144.25896727385654.5810327261438
34200.63144.30915092773256.3208490722684
35206.47144.74221727413861.7277827258623
36196.68144.56192785095652.1180721490442
37203.81144.53033073555359.2796692644473
38190.18144.24409804307845.9359019569217
39187.5143.43186631183644.0681336881643
40187.62143.25715285019544.3628471498045
41168.92143.23670765787625.6832923421241
42164.78143.07314611931921.706853880681
43175.98142.55272304209333.4272769579073
44174.7142.18842688803432.5115731119657
45166.95141.56020188766825.3897981123318
46161.76141.84457592629519.9154240737046
47149.65142.3166740034947.33332599650641
48137.42141.264675925958-3.84467592595752
49142.6141.2256441951661.37435580483446
50146.94140.4505855408686.48941445913226
51152.52138.79080765528513.7291923447148
52147.47139.5045307326247.96546926737584
53146.15139.5788768865146.57112311348637
54152.04139.63091919423612.4090808057637
55144.42139.1402345785665.27976542143426
56138.15139.136517270871-0.986517270871246
57125.94138.411642270449-12.4716422704489
58112.61138.909761501508-26.2997615015083
59111.48139.387435540248-27.9074355402482
6095.25138.508292270505-43.2582922705052
61105.38138.761069193729-33.3810691937294
62109.59137.965565347112-28.375565347112
6399.07136.969326884993-37.899326884993
6492.07137.420979769872-45.3509797698716
6589.1137.372654769843-48.2726547698434
6686.36136.785320154117-50.4253201541166
6795.39136.471207653934-41.0812076539335
6895.27136.058586499847-40.7885864998469
6998.56135.497273037981-36.9372730379814
70101.79135.973088422874-34.183088422874
71102.02136.170105730681-34.1501057306812
7298.21135.553032653399-37.3430326533985
73104.42135.579053807260-31.1590538072598
74105.62134.973132653061-29.3531326530606
75109.46134.352342268083-24.8923422680835
76110.94134.588391306683-23.6483913066826
77113.09134.649726883641-21.5597268836414
78109.58134.095848037165-24.5158480371648
79111.41133.859798998566-22.4497989985657
80109.83133.696237460009-23.8662374600088
81110.58133.108902844282-22.5289028442820
82109.04133.291050921311-24.2510509213112
83107.8133.844929767788-26.0449297677878
84109.79132.975079767281-23.1850797672809
85110.76132.936048036489-22.1760480364889
86112.64132.272508613025-19.6325086130254
87114.17132.034600920579-17.8646009205790
88115.99131.642424958812-15.6524249588121
89119.01131.634990343423-12.6249903434231
90117.92131.341323035560-13.4213230355597
91115.92130.971450919960-15.0514509199595
92120.75130.536525919706-9.7865259197061
93124.94127.023670148428-2.08367014842835
94129.17126.9084336099002.26156639010033
95128.14127.6370259180170.502974081983463
96134.18126.9065749560527.27342504394758
97131.74126.5478547635365.19214523646431
98134.32126.1631134171588.15688658284233
99137.8124.86763168563412.9323683143665
100141.79125.26166630124816.5283336987522
101142.75125.34716437822117.4028356217793
102144.3125.04792110881619.2520788911845
103145.49124.18178841600321.3082115839969
104138.21123.96060860818214.2493913918181
105139.02123.37141533860815.6485846613922
106141.91123.90299033891818.0070096610824
107144.95124.71336341631320.2366365836871
108146.11123.77660187730522.3333981226945
109150.96124.10372495441926.8562750455808
110148.2123.46063072327524.7393692767248
111152.12121.53878264523230.5812173547678
112154.74122.39562206880832.3443779311916
113150.8122.56104226121328.2389577387875
114152.6121.77854899152630.8214510084742
115158.74121.57409706833037.1659029316703
116161.83121.28414706816140.5458529318392
117162.4120.33809225991742.0619077400828
118156.11120.66149802933635.4485019706636
119154.93121.88077495312433.0492250468762
120157.18120.75628937554636.4237106244545
121159.85121.28786437585538.5621356241447
122154.4120.75443072169833.6455692783017
123151.57120.06115283667931.5088471633211
124133.34120.59086918314112.7491308168586
125131.2121.4514259144129.74857408558788
126124.17120.7265509139903.44344908601028
127133.19121.08712976035412.1028702396463
128130.94120.68751918319810.2524808168023
129119.58120.066728798221-0.486728798220618
130118.55121.330613414342-2.78061341434171
131119.96122.035043222445-2.0750432224445
132108.42120.722833606295-12.3028336062952
13395.93120.328798990681-24.398798990681
13488.83120.018403798192-31.1884037981925
13584.98119.295387451617-34.3153874516173
13681.61118.206216297136-36.5962162971365
13772.84118.165325912497-45.3253259124973
13874.72117.784301873814-43.0643018738137
13983.4116.925603796390-33.5256037963902
14087.42116.611491296207-29.1914912962072
14186.33115.267684564655-28.9376845646549
14294.28115.329020141614-21.0490201416137
14398.81115.163599949210-16.3535999492097
144100.96114.323488410259-13.3634884102586
14599.14113.591178794447-14.4511787944472


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
50.05433362171086250.1086672434217250.945666378289137
60.04811509907378430.09623019814756850.951884900926216
70.02063894968659860.04127789937319720.979361050313401
80.007993780930074570.01598756186014910.992006219069925
90.002735761780327910.005471523560655820.997264238219672
100.001405737834598660.002811475669197320.998594262165401
110.0005955786191642580.001191157238328520.999404421380836
120.001865859114912750.003731718229825510.998134140885087
130.001184403195049980.002368806390099960.99881559680495
140.0005377238780084460.001075447756016890.999462276121992
150.0002630101284899220.0005260202569798430.99973698987151
160.0001033581970897510.0002067163941795020.99989664180291
173.73003912277326e-057.46007824554652e-050.999962699608772
181.33461383485114e-052.66922766970228e-050.999986653861652
195.93858773318676e-061.18771754663735e-050.999994061412267
202.04075595374329e-064.08151190748657e-060.999997959244046
216.6504338572235e-071.3300867714447e-060.999999334956614
222.37136201376090e-074.74272402752179e-070.999999762863799
237.42122166915262e-081.48424433383052e-070.999999925787783
242.41498551227396e-084.82997102454793e-080.999999975850145
259.29196852313395e-091.85839370462679e-080.999999990708031
261.13489341433591e-082.26978682867182e-080.999999988651066
271.01878887898270e-072.03757775796540e-070.999999898121112
286.01899630032177e-081.20379926006435e-070.999999939810037
292.02048673220298e-074.04097346440596e-070.999999797951327
308.70470962682326e-071.74094192536465e-060.999999129529037
311.27733751278629e-062.55467502557257e-060.999998722662487
321.22309891374483e-062.44619782748966e-060.999998776901086
338.0817365147768e-071.61634730295536e-060.999999191826348
346.12885517880207e-071.22577103576041e-060.999999387114482
351.07257126921125e-062.14514253842250e-060.99999892742873
368.2359946401838e-071.64719892803676e-060.999999176400536
371.02103442185417e-062.04206884370833e-060.999998978965578
388.76865649238785e-071.75373129847757e-060.99999912313435
391.70977582206830e-063.41955164413659e-060.999998290224178
403.63299791760851e-067.26599583521701e-060.999996367002082
413.15095786303396e-056.30191572606792e-050.99996849042137
420.0002270589255741360.0004541178511482710.999772941074426
430.0006915319589368740.001383063917873750.999308468041063
440.002196797900883220.004393595801766430.997803202099117
450.01023226779086770.02046453558173540.989767732209132
460.02931313967977080.05862627935954160.97068686032023
470.07165078370191450.1433015674038290.928349216298086
480.2229953543778050.4459907087556110.777004645622195
490.3640805757908690.7281611515817390.63591942420913
500.496370640255090.992741280510180.50362935974491
510.6292499357113240.7415001285773520.370750064288676
520.7157475910033950.5685048179932110.284252408996605
530.7773017133842880.4453965732314240.222698286615712
540.818231613539110.3635367729217820.181768386460891
550.8584074453673120.2831851092653760.141592554632688
560.8912058473570550.2175883052858900.108794152642945
570.9263129326635230.1473741346729540.0736870673364772
580.9557417256071580.08851654878568480.0442582743928424
590.9703942077429180.05921158451416450.0296057922570823
600.9867122074123660.02657558517526880.0132877925876344
610.9906631410788240.01867371784235120.00933685892117559
620.9922421988467220.01551560230655670.00775780115327834
630.9946365411654870.01072691766902510.00536345883451255
640.99666288025170.006674239496601820.00333711974830091
650.9979590822757460.004081835448507440.00204091772425372
660.9987944915291320.00241101694173490.00120550847086745
670.9989573156929150.002085368614170310.00104268430708515
680.9990603689715880.001879262056823790.000939631028411894
690.9990352349077880.001929530184423590.000964765092211796
700.9989159736373270.002168052725345430.00108402636267272
710.9987718235846170.002456352830765090.00122817641538255
720.9987214365926710.002557126814657800.00127856340732890
730.9984684067481820.003063186503635020.00153159325181751
740.9981224219215520.003755156156895530.00187757807844777
750.9975531201774720.004893759645056510.00244687982252825
760.9967964619379670.006407076124066590.00320353806203329
770.995756631627610.008486736744779760.00424336837238988
780.9947019105671660.01059617886566850.00529808943283426
790.9933237757053690.01335244858926260.00667622429463132
800.9919380666095060.01612386678098890.00806193339049445
810.9903167612498460.01936647750030750.00968323875015375
820.9890008121421910.02199837571561720.0109991878578086
830.988426371827370.02314725634525950.0115736281726298
840.9877100134730710.02457997305385830.0122899865269291
850.9874229832835620.02515403343287630.0125770167164381
860.9872025047835590.02559499043288240.0127974952164412
870.9873801161800030.02523976763999430.0126198838199971
880.9878832739374570.02423345212508590.0121167260625429
890.9887193523825970.02256129523480600.0112806476174030
900.9908461393587690.01830772128246280.00915386064123138
910.9941718466515620.01165630669687610.00582815334843803
920.9965728373976850.006854325204630890.00342716260231545
930.9968531004447870.006293799110426730.00314689955521336
940.9969594484512950.006081103097410470.00304055154870524
950.9976196336888070.004760732622385150.00238036631119258
960.9977758510680170.004448297863966830.00222414893198341
970.998073756080260.003852487839482170.00192624391974109
980.9982315677740510.003536864451897650.00176843222594882
990.9979509659551450.004098068089710320.00204903404485516
1000.9976346970148620.004730605970276670.00236530298513833
1010.9972991188276540.005401762344692610.00270088117234631
1020.9967796660882470.006440667823506640.00322033391175332
1030.995816007986130.008367984027742380.00418399201387119
1040.994776652790390.01044669441921810.00522334720960907
1050.9930823193123980.01383536137520420.00691768068760212
1060.9911445219922950.01771095601540910.00885547800770456
1070.9895499699246120.02090006015077570.0104500300753878
1080.9863957574774530.0272084850450940.013604242522547
1090.9824463732626240.03510725347475280.0175536267373764
1100.9768086932862360.04638261342752810.0231913067137641
1110.9717858231747370.05642835365052580.0282141768252629
1120.9644217287515520.07115654249689530.0355782712484477
1130.9531859120006970.09362817599860540.0468140879993027
1140.9428729448681370.1142541102637260.0571270551318631
1150.9395630925624030.1208738148751940.060436907437597
1160.9448651058652420.1102697882695160.0551348941347578
1170.9625280033371220.0749439933257560.037471996662878
1180.9683562509905190.06328749801896180.0316437490094809
1190.9667313898435210.06653722031295760.0332686101564788
1200.9766734445925310.04665311081493730.0233265554074687
1210.9864707001878030.02705859962439360.0135292998121968
1220.9932661934706030.01346761305879440.00673380652939718
1230.9980182385522180.003963522895563640.00198176144778182
1240.9980094656049930.00398106879001330.00199053439500665
1250.997568685197750.004862629604502010.00243131480225101
1260.9966977641681930.00660447166361460.0033022358318073
1270.997573144634770.004853710730460690.00242685536523034
1280.9987296011111190.002540797777762060.00127039888888103
1290.9988719075945880.002256184810823060.00112809240541153
1300.9990576451840.001884709631999570.000942354815999787
1310.9997909077003830.0004181845992339130.000209092299616957
1320.9999631734788777.3653042245963e-053.68265211229815e-05
1330.9999843389996733.13220006532921e-051.56610003266460e-05
1340.9999924361940051.51276119891310e-057.56380599456552e-06
1350.9999972034430475.59311390682643e-062.79655695341322e-06
1360.9999933761582041.32476835912680e-056.62384179563402e-06
1370.9999583898021888.32203956239369e-054.16101978119684e-05
1380.9998117254981360.0003765490037287660.000188274501864383
1390.9987564405587050.002487118882589270.00124355944129464
1400.9917268663790960.0165462672418080.008273133620904


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level790.580882352941177NOK
5% type I error level1110.816176470588235NOK
10% type I error level1210.889705882352941NOK