Multiple Linear Regression - Estimated Regression Equation
Werkl[t] = + 143.973715807234 -0.390691631516334Infl[t] + 0.456911830344265M1[t] + 0.743696545545371M2[t] + 0.732940748784612M3[t] + 0.614354061725341M4[t] + 0.399324210806029M5[t] + 0.110861390829816M6[t] + 0.126971532182841M7[t] + 0.234204608140009M8[t] + 0.231860458350911M9[t] + 0.111377982258543M10[t] -0.0175673138100251M11[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)143.9737158072341.85252877.717400
Infl-0.3906916315163340.018279-21.373600
M10.4569118303442650.231011.97790.0539490.026975
M20.7436965455453710.231673.21020.002420.00121
M30.7329407487846120.2323013.15510.0028270.001414
M40.6143540617253410.2325132.64220.0112190.005609
M50.3993242108060290.2317261.72330.0915580.045779
M60.1108613908298160.2312840.47930.6339740.316987
M70.1269715321828410.2315460.54840.5860940.293047
M80.2342046081400090.2327321.00630.3195230.159761
M90.2318604583509110.2327190.99630.3243110.162155
M100.1113779822585430.2322930.47950.6338750.316937
M11-0.01756731381002510.231414-0.07590.9398170.469909


Multiple Linear Regression - Regression Statistics
Multiple R0.95674117805331
R-squared0.915353681782835
Adjusted R-squared0.89327203355227
F-TEST (value)41.4531411887921
F-TEST (DF numerator)12
F-TEST (DF denominator)46
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation0.344367616333890
Sum Squared Residuals5.45509653825634


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
1106.1106.185823828444-0.0858238284444918
2106106.160055238433-0.160055238432842
3105.9106.024278119587-0.124278119586847
4105.8105.839273855170-0.0392738551698082
5105.7105.909448895257-0.209448895257416
6105.6105.746007397366-0.146007397366441
7105.4105.699606877677-0.299606877676837
8105.4105.490379732106-0.0903797321057792
9105.5105.4255249212740.0744750787259314
10105.6105.4652260141030.134773985896592
11105.7105.6488340232480.051165976752103
12105.9105.478869353930.421130646069923
13106.1105.6193209627460.480679037253878
14106105.5935523727340.406447627265843
15105.8105.5202859149310.279714085069211
16105.8105.4329545583930.367045441607176
17105.7105.3429460295590.357053970441269
18105.5105.1795045316680.32049546833225
19105.3105.0705933509360.229406649064451
20105.2104.8340177911580.365982208841661
21105.2104.8316736413690.36832635863076
22105104.8362124873620.163787512637895
23105.1104.86354384390.236456156099927
24105.1104.7951589987770.304841001223495
25105.2105.0567250133630.143274986637406
26104.9105.030956423351-0.130956423350632
27104.8104.832668643462-0.0326686434620398
28104.5104.729709621663-0.229709621663422
29104.5104.647514925460-0.147514925459659
30104.4104.499701092829-0.099701092829326
31104.4104.3243723347390.075627665260656
32104.2104.240166511254-0.0401665112535133
33104.1104.308146855137-0.208146855137360
34103.9104.195478211675-0.295478211675312
35103.8104.203274986637-0.403274986637467
36103.9104.318515208327-0.418515208326567
37104.2104.51757056187-0.317570561870056
38104.1104.292549239785-0.192549239784773
39103.8104.055192296745-0.255192296744538
40103.6103.920977944425-0.320977944424614
41103.7103.916921574524-0.216921574524116
42103.5103.933198227131-0.433198227130647
43103.4103.902425372702-0.502425372701704
44103.1103.732267390282-0.63226739028229
45103.1103.667412579451-0.567412579450573
46103.1103.484419442316-0.384419442315593
47103.2103.578168376211-0.37816837621133
48103.3103.607456438967-0.307456438966851
49103.5103.720559633577-0.220559633576736
50103.6103.5228867256980.0771132743024041
51103.5103.3675750252760.132424974724214
52103.3103.0770840203490.222915979650668
53103.2102.98316857520.216831424799922
54103.1102.7415887510060.358411248994164
55103.2102.7030020639470.496997936053434
56103102.60316857520.396831424799921
57103102.6672420027690.332757997231242
58103.1102.7186638445440.381336155456418
59103.4102.9061787700030.493821229996766


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
160.001224130919953050.00244826183990610.998775869080047
170.0001162501452248820.0002325002904497640.999883749854775
183.10913699466135e-056.21827398932271e-050.999968908630053
195.11178346741122e-061.02235669348224e-050.999994888216533
207.55776291522252e-061.51155258304450e-050.999992442237085
214.00578488810076e-058.01156977620152e-050.999959942151119
220.002131630710828350.004263261421656710.997868369289172
230.005142889323245370.01028577864649070.994857110676755
240.0399551589489390.0799103178978780.96004484105106
250.1334341206815720.2668682413631450.866565879318428
260.2652389305884970.5304778611769940.734761069411503
270.3120983525723070.6241967051446140.687901647427693
280.4228363997970840.8456727995941670.577163600202916
290.4260531165973590.8521062331947170.573946883402641
300.4393589056484400.8787178112968810.56064109435156
310.4832885815678290.9665771631356570.516711418432171
320.6422771325792750.7154457348414490.357722867420725
330.8305244765600020.3389510468799960.169475523439998
340.8965069476631260.2069861046737470.103493052336874
350.8976131639915760.2047736720168480.102386836008424
360.9454822121422740.1090355757154520.0545177878577262
370.9780925027596030.04381499448079330.0219074972403966
380.980368815505220.03926236898956020.0196311844947801
390.9653625699626270.06927486007474550.0346374300373728
400.9375666063921130.1248667872157740.0624333936078872
410.9602662562457410.07946748750851740.0397337437542587
420.9720420894175320.05591582116493570.0279579105824679
430.9450904696307320.1098190607385360.0549095303692682


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level70.25NOK
5% type I error level100.357142857142857NOK
10% type I error level140.5NOK