Multiple Linear Regression - Estimated Regression Equation
AKW[t] = + 110.055899257576 -0.038009298269539AKB[t] -0.174770514728344M1[t] -0.285363474701875M2[t] + 0.0732185403524886M3[t] + 0.299697191177373M4[t] + 0.336207016778144M5[t] + 0.0638871977515323M6[t] + 0.0184703036138447M7[t] + 0.0764184642465924M8[t] + 0.199242753311017M9[t] + 0.295251074336222M10[t] + 0.25339064685611M11[t] + 0.125505490971034t + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)110.0558992575760.745913147.545200
AKB-0.0380092982695390.006538-5.81331e-060
M1-0.1747705147283440.273445-0.63910.5258320.262916
M2-0.2853634747018750.28765-0.99210.3262530.163126
M30.07321854035248860.2866920.25540.7995360.399768
M40.2996971911773730.286291.04680.3005320.150266
M50.3362070167781440.2866721.17280.2467890.123394
M60.06388719775153230.2864510.2230.8244790.412239
M70.01847030361384470.2858830.06460.948760.47438
M80.07641846424659240.2858870.26730.7904050.395203
M90.1992427533110170.286190.69620.4897390.244869
M100.2952510743362220.2876621.02640.3099650.154982
M110.253390646856110.2866090.88410.3811430.190571
t0.1255054909710340.00486725.786400


Multiple Linear Regression - Regression Statistics
Multiple R0.978580216162726
R-squared0.957619239465087
Adjusted R-squared0.945896901444792
F-TEST (value)81.6918295486061
F-TEST (DF numerator)13
F-TEST (DF denominator)47
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation0.450700805243576
Sum Squared Residuals9.54716714481878


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
1104.89105.293481248395-0.403481248395319
2105.15105.512503711100-0.36250371110043
3105.24105.873821183715-0.633821183715225
4105.57106.297642899241-0.727642899240572
5105.62106.267331166569-0.6473311665685
6106.17105.9281897892690.241810210730943
7106.27106.1390303721500.130969627850375
8106.41106.510630050188-0.100630050187622
9106.94106.8524627039660.0875372960338539
10107.16106.9451249948290.214875005171350
11107.32107.2556855689890.0643144310112762
12107.32107.2243440307080.0956559692917247
13107.35107.2134683982030.136531601796802
14107.55107.2473855783350.302614421664536
15107.87107.7014457387280.168554261272077
16108.37107.9857733296040.384226670395938
17108.38107.9261944372640.453805562735537
18107.92107.8390547074920.0809452925079438
19108.03108.0240489675490.00595103245067025
20108.14108.192678992828-0.0526789928279927
21108.3108.428085611452-0.128085611451811
22108.64108.5671192462030.072880753796853
23108.66108.5998318500130.0601681499871106
24109.04108.6175223065000.422477693499861
25109.03108.5804202581890.449579741810914
26109.03108.4957484277200.534251572279602
27109.54108.8620071091100.677992890889782
28109.75109.1535564666580.596443533342424
29109.83109.535645620210.294354379789987
30109.65109.5921810378960.0578189621035373
31109.82109.6399617312010.180038268799287
32109.95109.7990894319120.150910568088020
33110.12109.8851195083370.234880491663495
34110.15110.0435378852050.106462114794691
35110.21110.2066223820800.0033776179204208
36109.99110.076076575316-0.086076575315632
37110.14110.0465763866580.0934236133415222
38110.14110.0679504983620.072049501638196
39110.81110.5318930763040.278106923695657
40110.97110.7759308110150.194069188985225
41110.99110.7950311660930.194968833906884
42109.73110.405717515078-0.675717515077871
43109.81110.524575596146-0.714575596146148
44110.02110.646834277536-0.626834277535977
45110.18110.781896348728-0.601896348728198
46110.21110.979844395797-0.769844395797338
47110.25110.874583246889-0.624583246888643
48110.36110.897595005134-0.537595005133638
49110.51111.028874148157-0.518874148156633
50110.6111.146411784482-0.546411784481903
51110.95111.440832892142-0.490832892142291
52111.18111.627096493483-0.447096493483015
53111.19111.485797609864-0.295797609863907
54111.69111.3948569502650.295143049735447
55111.7111.3023833329540.397616667045815
56111.83111.2007672475360.629232752463572
57111.77111.3624358275170.40756417248266
58111.73111.3543734779660.375626522034444
59112.01111.5132769520300.496723047969836
60111.86111.7544620823420.105537917657683
61112.04111.7971795603970.242820439602715


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
170.02707353849236530.05414707698473050.972926461507635
180.1066587703371420.2133175406742840.893341229662858
190.1014615269051730.2029230538103460.898538473094827
200.2824888127578860.5649776255157710.717511187242114
210.5091136525463520.9817726949072970.490886347453648
220.4889353709692720.9778707419385450.511064629030728
230.4154026224988760.8308052449977530.584597377501124
240.3111842420227230.6223684840454460.688815757977277
250.2289336049888700.4578672099777400.77106639501113
260.1600672679470150.3201345358940310.839932732052985
270.1309060543677870.2618121087355750.869093945632213
280.09897910199905970.1979582039981190.90102089800094
290.0712111585403580.1424223170807160.928788841459642
300.06664767769757940.1332953553951590.93335232230242
310.04711736244410030.09423472488820070.9528826375559
320.03268339121838910.06536678243677820.967316608781611
330.02509756001395920.05019512002791840.974902439986041
340.03128579710265150.0625715942053030.968714202897349
350.05273020619927540.1054604123985510.947269793800725
360.07126536754980660.1425307350996130.928734632450193
370.05641138922885520.1128227784577100.943588610771145
380.04693777821993350.0938755564398670.953062221780066
390.0765812199987530.1531624399975060.923418780001247
400.2394178016756530.4788356033513060.760582198324347
410.9866557043871360.02668859122572840.0133442956128642
420.9868758564657750.02624828706845070.0131241435342253
430.9886482979336550.02270340413269070.0113517020663453
440.9827614884938780.03447702301224430.0172385115061221


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level00OK
5% type I error level40.142857142857143NOK
10% type I error level100.357142857142857NOK