Multiple Linear Regression - Estimated Regression Equation
Y[t] = + 34.2655743166752 -0.165157690441535X[t] -0.169194606178226M1[t] -0.0910606501698221M2[t] + 0.00598734433123115M3[t] + 0.0204107229500253M4[t] + 0.0301358968138449M5[t] + 0.119936519488922M6[t] + 0.209080988193435M7[t] + 0.233451803331717M8[t] + 0.217166464499433M9[t] + 0.128935549086204M10[t] + 0.0860589923985128M11[t] + 0.0656817483422296t + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)34.265574316675230.2731291.13190.2623430.131171
X-0.1651576904415350.155704-1.06070.2932150.146607
M1-0.1691946061782260.400678-0.42230.6743890.337194
M2-0.09106065016982210.400246-0.22750.8208260.410413
M30.005987344331231150.3998720.0150.9881050.494052
M40.02041072295002530.401650.05080.9596460.479823
M50.03013589681384490.40260.07490.9405890.470295
M60.1199365194889220.402740.29780.7669190.383459
M70.2090809881934350.404560.51680.6072530.303627
M80.2334518033317170.4028170.57950.5644640.282232
M90.2171664644994330.4027340.53920.5917920.295896
M100.1289355490862040.3995110.32270.7480580.374029
M110.08605899239851280.3989570.21570.829970.414985
t0.06568174834222960.0620381.05870.2941080.147054


Multiple Linear Regression - Regression Statistics
Multiple R0.205311131411143
R-squared0.0421526606813234
Adjusted R-squared-0.172537260200449
F-TEST (value)0.196342056991751
F-TEST (DF numerator)13
F-TEST (DF denominator)58
p-value0.998747705775358
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation0.689831138014099
Sum Squared Residuals27.6002859404819


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
11.791.97282759178389-0.182827591783894
21.952.01754868186965-0.0675486818696511
32.262.097699579492160.162300420507844
42.042.14477316836487-0.104773168364875
52.162.22018009057092-0.0601800905709236
62.752.375662461588230.374337538411769
72.792.530488678634970.259511321365028
82.882.488415089762250.391584910237746
93.362.422201115963130.937798884036872
102.972.350104641759660.619895358240335
113.12.339878295325900.760121704674103
122.492.269953744137150.220046255862848
132.22.149925117257000.0500748827429965
142.252.145098900210250.104901099789747
152.092.22524979783277-0.135249797832769
162.792.090649927219790.699350072780206
173.142.017414928028471.12258507197153
182.932.057286915736690.872713084263306
192.652.113018518518520.536981481481484
202.672.203071081999030.466928918000972
212.262.169888646288210.0901113537117932
222.352.130823710173050.219176289826946
232.132.120597363739280.00940263626071736
242.182.067188581594690.112811418405306
252.91.914128416626240.985871583373764
262.632.008396813844410.621603186155589
272.672.072031942422770.597968057577227
281.812.02001091703057-0.210010917030567
291.332.02935476306-0.699354763060001
300.882.151805595989-1.27180559598900
311.282.19102142972667-0.911021429726667
321.262.24804245511887-0.988042455118874
331.262.21486001940805-0.954860019408051
341.292.1757950832929-0.8857950832929
351.12.13253719877082-1.03253719877082
361.372.09564418567039-0.725644185670386
371.211.89303671356947-0.68303671356947
381.742.02033664887595-0.280336648875946
391.762.16655062267508-0.406550622675076
401.482.23013998059195-0.750139980591947
411.042.17342075044477-1.13342075044477
421.622.22980850719715-0.609808507197153
431.492.33508741711144-0.845087417111437
441.792.37559267345949-0.585592673459486
451.82.39195754488113-0.591957544881127
461.582.33637683972182-0.756376839721818
471.862.27660318615559-0.416603186155588
481.742.17364709687854-0.433647096878537
491.592.02058693191008-0.430586931910083
501.262.11485532912825-0.854855329128254
511.132.22803776483907-1.09803776483907
521.922.22556404657933-0.30556404657933
532.612.267939430697070.342060569302926
542.262.274779880317-0.0147798803169983
552.412.347027252142970.0629727478570277
562.262.35450097040272-0.094500970402717
572.032.35435007278020-0.324350072780205
582.862.282253598576740.577746401423257
592.552.238995714054670.311004285945334
602.272.185586931910080.0844130680899229
612.261.999495228853310.260504771146687
622.572.093763626071480.476236373928516
633.072.190430292738150.879569707261848
642.762.088861960213490.671138039786513
652.512.081690037198770.428309962801231
662.872.220656639171920.649343360828077
673.142.243356703865430.896643296134566
683.112.300377729257640.809622270742358
693.162.316742600679280.843257399320717
702.472.244646126475820.225353873524180
712.572.201388241953740.368611758046257
722.892.147979459809160.742020540190845


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
170.04756686472769720.09513372945539440.952433135272303
180.09175438473180080.1835087694636020.9082456152682
190.09130759497799080.1826151899559820.90869240502201
200.07387856012961860.1477571202592370.926121439870381
210.2226830042983510.4453660085967030.777316995701649
220.2119155608681560.4238311217363110.788084439131844
230.2593456282204980.5186912564409950.740654371779502
240.2154218389004960.4308436778009930.784578161099504
250.491616973542690.983233947085380.50838302645731
260.6575375116771190.6849249766457610.342462488322881
270.8547408350097410.2905183299805170.145259164990259
280.928840869457150.1423182610857000.0711591305428499
290.9843677961444130.03126440771117490.0156322038555874
300.9984869744336860.003026051132628150.00151302556631408
310.9987581191943050.002483761611390780.00124188080569539
320.998846196264180.002307607471640200.00115380373582010
330.9987464590442350.0025070819115310.0012535409557655
340.9981703404083670.00365931918326520.0018296595916326
350.9975947077262190.004810584547562390.00240529227378119
360.9955825050156820.008834989968636830.00441749498431842
370.9918128035550850.01637439288982970.00818719644491483
380.992873158306260.01425368338748020.00712684169374009
390.9947085700599980.01058285988000370.00529142994000184
400.9901143374234840.01977132515303110.00988566257651555
410.986285051119470.02742989776105860.0137149488805293
420.977120435730480.04575912853903940.0228795642695197
430.9639672330475360.07206553390492810.0360327669524640
440.9419612977724210.1160774044551570.0580387022275786
450.9116807395353120.1766385209293750.0883192604646876
460.865816657326630.2683666853467420.134183342673371
470.8234122717225870.3531754565548260.176587728277413
480.7816701670230960.4366596659538070.218329832976904
490.7044212629547350.591157474090530.295578737045265
500.6368209994214880.7263580011570250.363179000578512
510.8373306904718090.3253386190563830.162669309528191
520.8063646514728570.3872706970542870.193635348527143
530.8146769817030640.3706460365938720.185323018296936
540.7060427575048040.5879144849903920.293957242495196
550.5963625585454170.8072748829091660.403637441454583


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level70.179487179487179NOK
5% type I error level140.358974358974359NOK
10% type I error level160.41025641025641NOK