Multiple Linear Regression - Estimated Regression Equation
Y[t] = + 101.473296893034 -0.89729709691884X[t] + 0.968511877494062M1[t] + 0.74987074493858M2[t] + 1.24112149625985M3[t] + 0.536858770135734M4[t] + 0.558163579518627M5[t] + 0.627684621148016M6[t] + 1.16477319828442M7[t] -0.123651702024567M8[t] + 1.26970716541995M9[t] + 1.41512009092609M10[t] -0.0756291577526306M11[t] -0.0152507513212727t + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)101.4732968930340.556211182.436800
X-0.897297096918840.092424-9.708500
M10.9685118774940620.6405171.51210.1373540.068677
M20.749870744938580.6391961.17310.2467760.123388
M31.241121496259850.6383131.94440.057980.02899
M40.5368587701357340.6362330.84380.4031430.201572
M50.5581635795186270.6354190.87840.3842820.192141
M60.6276846211480160.6343170.98950.3275740.163787
M71.164773198284420.6340821.83690.0726840.036342
M8-0.1236517020245670.633154-0.19530.8460220.423011
M91.269707165419950.6327012.00680.0506690.025334
M101.415120090926090.6323232.2380.0301060.015053
M11-0.07562915775263060.63218-0.11960.9052950.452648
t-0.01525075132127270.007606-2.0050.0508660.025433


Multiple Linear Regression - Regression Statistics
Multiple R0.843822817706935
R-squared0.712036947682871
Adjusted R-squared0.630656085071508
F-TEST (value)8.74943966965834
F-TEST (DF numerator)13
F-TEST (DF denominator)46
p-value1.36955831120389e-08
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation0.999274140497838
Sum Squared Residuals45.9332451619139


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
1100.03100.631963825369-0.601963825368862
2100.25100.577531360876-0.327531360875884
399.6100.245963973649-0.645963973648927
4100.1699.8853693349710.274630665028931
5100.49100.2503422318000.239657768199771
699.72100.214882812416-0.494882812416457
7100.14100.467531509156-0.327531509155934
898.4898.7152073090663-0.235207309066252
9100.38100.452234263957-0.0722342639570395
10101.45100.6721261478340.777873852166214
1198.4298.8072073090663-0.387207309066256
1298.698.8675857154976-0.267585715497621
13100.0699.64138742228660.418612577713367
1498.6299.317765828718-0.697765828717993
15100.84100.5116035062530.328396493746934
16100.0299.70236031911580.317639680884203
1797.9599.259765828718-1.30976582871799
1898.3299.3140361190261-0.994036119026117
1998.2799.8358739448412-1.56587394484124
2097.2299.0705765513623-1.85057655136229
2199.28100.089765828718-0.809765828717994
22100.38100.0404685835190.339531416480898
2399.0298.80365771259480.216342287405244
24100.3298.9537658287181.366234171282
2599.8199.9967566645827-0.186756664582665
26100.6100.1217836194730.478216380526545
27101.19100.7772430388570.41275696114278
28100.4799.78854043233620.681459567663826
29101.7799.7048647807062.06513521929409
30102.32100.1180539097822.20194609021843
31102.39100.5501620259051.83983797409519
32101.1699.24648637427461.91351362572545
33100.63100.6245944903980.0054055096022002
34101.48101.2034052130420.276594786957919
35101.4499.6974052130421.74259478695791
36100.0999.75778361947340.332216380526557
37100.7100.800774455338-0.100774455338116
38100.78100.3874231520780.392576847922404
3999.81100.145585474543-0.335585474542523
4098.4598.797964029254-0.347964029253941
4198.4998.6245586679318-0.134558667931802
4297.4898.3199101194724-0.839910119472372
4397.9198.7520182355956-0.842018235595627
4496.9496.73050490643030.209495093569705
4598.5398.37780215162920.152197848370811
4696.8297.6106672288952-0.790667228895227
4795.7695.4765592610520.283440738947971
4895.2795.4472079577915-0.177207957791512
4997.3296.84911763242370.470882367576276
5096.6896.5254960388550.154503961144927
5197.8797.62960400669830.240395993301737
5297.4298.345765884323-0.925765884323018
5397.9498.800468490844-0.860468490844063
5499.5299.39311703930350.126882960696515
55100.99100.0944142845020.895585715497615
5699.9299.9572248588666-0.0372248588666119
57101.97101.2456032652980.724396734702024
58101.58102.183332826710-0.603332826709803
5999.54101.395170504245-1.85517050424487
60100.83102.083656878519-1.25365687851942


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
170.2712214346180690.5424428692361380.728778565381931
180.1561142038984860.3122284077969720.843885796101514
190.1771687499008180.3543374998016360.822831250099182
200.3903480235551960.7806960471103920.609651976444804
210.3678952746012370.7357905492024750.632104725398763
220.2602013500947690.5204027001895380.73979864990523
230.2428860731596310.4857721463192610.757113926840369
240.3156383184187790.6312766368375580.684361681581221
250.2625369519671220.5250739039342440.737463048032878
260.2269513761531160.4539027523062330.773048623846884
270.1618237853637180.3236475707274350.838176214636282
280.1062785693453580.2125571386907160.893721430654642
290.3126858705834880.6253717411669760.687314129416512
300.501239603778910.997520792442180.49876039622109
310.5385658016562290.9228683966875410.461434198343771
320.5909826683317060.8180346633365890.409017331668294
330.5825372187632220.8349255624735560.417462781236778
340.6267387118132890.7465225763734220.373261288186711
350.8125937989418160.3748124021163670.187406201058184
360.8593979103889360.2812041792221270.140602089611064
370.8157324247096540.3685351505806920.184267575290346
380.7875989512091530.4248020975816940.212401048790847
390.7050193963233220.5899612073533560.294980603676678
400.7243297040916170.5513405918167660.275670295908383
410.9295997898172040.1408004203655910.0704002101827955
420.8771884410995170.2456231178009660.122811558900483
430.7684365720394010.4631268559211970.231563427960599


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level00OK
5% type I error level00OK
10% type I error level00OK