Multiple Linear Regression - Estimated Regression Equation
tot_indus[t] = + 209.298982723361 + 0.200657477896676prijsindex[t] -0.0431033994434085`y(t-1)`[t] -0.6525411392476`y(t-2)`[t] -0.0302790380657440`y(t-3)`[t] -0.535338506090538`y(t-4)`[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)209.29898272336126.0917328.021700
prijsindex0.2006574778966760.0279457.180500
`y(t-1)`-0.04310339944340850.110024-0.39180.6965550.348278
`y(t-2)`-0.65254113924760.112174-5.817200
`y(t-3)`-0.03027903806574400.110954-0.27290.7858250.392912
`y(t-4)`-0.5353385060905380.117064-4.57312.3e-051.2e-05


Multiple Linear Regression - Regression Statistics
Multiple R0.75865628105714
R-squared0.57555935278745
Adjusted R-squared0.54187358713566
F-TEST (value)17.0861294570833
F-TEST (DF numerator)5
F-TEST (DF denominator)63
p-value1.20284671112358e-10
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation5.35827567184311
Sum Squared Residuals1808.80044505434


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
1101.798.07320656771683.62679343228316
2104.2100.5807542626223.61924573737824
392.796.7786533030993-4.07865330309934
491.996.8140608472913-4.91406084729132
5106.5104.9662701686771.53372983132296
6112.3103.92905336418.37094663589992
7102.8100.8141470117591.98585298824085
896.597.5254162868964-1.02541628689636
910196.7871120803364.2128879196641
1098.998.5490131634590.350986836541081
11105.1101.2203578968263.87964210317380
12103105.298975408506-2.29897540850587
139999.339417898957-0.339417898956908
14104.3101.7985829681432.50141703185665
1594.6100.964918245840-6.36491824583976
1690.499.3705376753783-8.97053767537831
17108.9108.1831480909910.716851909009263
18111.4108.8068311882552.59316881174482
19100.8102.408529281683-1.60852928168276
20102.5103.464107179349-0.964107179348907
2198.2101.873370098285-3.67337009828478
2298.7101.095819689242-2.39581968924177
23113.3109.9648208872953.33517911270495
24104.6107.848115881123-3.24811588112258
2599.3100.079872229887-0.779872229886675
26111.8105.3760136885346.42398631146593
2797.3101.425410100603-4.12541010060257
2897.798.7517005522524-1.05170055225244
29115.6110.8156378003414.78436219965932
30111.9104.1323576541167.7676423458838
31107101.1040832308295.89591676917102
32107.1102.7528386938184.34716130618157
33100.698.5823566359252.01764336407494
3499.2101.488235315550-2.28823531555028
35108.4109.132595176346-0.732595176345546
36103109.351434941858-6.35143494185842
3799.8105.638106172010-5.83810617200971
38115109.2690222657465.73097773425413
3990.8106.120966519427-15.3209665194275
4095.9101.396977695894-5.49697769589443
41114.4118.682999968578-4.28299996857774
42108.2107.2736291840650.926370815935249
43112.6108.7913373803203.80866261967963
44109.1110.641256759365-1.54125675936521
45105100.2114800970274.78851990297287
46105106.821124886288-1.82112488628781
47118.5107.48781973711111.0121802628893
48103.7111.712957362565-8.0129573625646
49112.5109.3483047715963.15169522840418
50116.6116.1309989333450.469001066654665
5196.6105.319153193628-8.71915319362799
52101.9111.162356866742-9.2623568667424
53116.5118.587767786867-2.08776778686737
54119.3113.9741676361775.32583236382262
55115.4114.7924057136250.607594286375487
56108.5110.656655655108-2.15665565510752
57111.5105.6985847977755.80141520222492
58108.8109.473513055453-0.673513055453239
59121.8111.71486590589510.0851340941052
60109.6119.388783300849-9.78878330084894
61112.2110.0478080828732.15219191712671
62119.6117.0824130702922.51758692970814
63104.1108.998554080123-4.89855408012331
64105.3109.263616089641-3.9636160896411
65115117.610005932177-2.61000593217657
66124.1114.06042135943810.0395786405615
67116.8114.3358012617772.46419873822286
68107.5106.2913534975791.20864650242091
69115.6111.9670355147553.63296448524526


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
90.5074262272720450.9851475454559110.492573772727955
100.3574638336441030.7149276672882060.642536166355897
110.2417081040142020.4834162080284050.758291895985798
120.3470430514337190.6940861028674380.652956948566281
130.2367337253786260.4734674507572520.763266274621374
140.1673626117807250.3347252235614510.832637388219275
150.2447875626666590.4895751253333170.755212437333342
160.2988509704179610.5977019408359210.701149029582039
170.2186821844211830.4373643688423670.781317815578817
180.1568217812027180.3136435624054350.843178218797282
190.1079242999258420.2158485998516840.892075700074158
200.07504169128856370.1500833825771270.924958308711436
210.04901281459626060.09802562919252120.95098718540374
220.03942729048557810.07885458097115620.960572709514422
230.03378433771456790.06756867542913570.966215662285432
240.02612607425694730.05225214851389460.973873925743053
250.01873905810708810.03747811621417630.981260941892912
260.02871203528408480.05742407056816960.971287964715915
270.01990067144127460.03980134288254930.980099328558725
280.01420872159264460.02841744318528930.985791278407355
290.01073537392777710.02147074785555420.989264626072223
300.02659285905012730.05318571810025450.973407140949873
310.03478948241031530.06957896482063070.965210517589685
320.02995070443514160.05990140887028310.970049295564858
330.02208426349966390.04416852699932780.977915736500336
340.01428772840589300.02857545681178610.985712271594107
350.009206890277236830.01841378055447370.990793109722763
360.01362310698974850.0272462139794970.986376893010251
370.01264365432311700.02528730864623390.987356345676883
380.01502332377184760.03004664754369520.984976676228152
390.1782248922943030.3564497845886060.821775107705697
400.1769549023464830.3539098046929670.823045097653517
410.1651512623971590.3303025247943180.83484873760284
420.1365695882346070.2731391764692140.863430411765393
430.1138803485450900.2277606970901800.88611965145491
440.08352893729495230.1670578745899050.916471062705048
450.07990673988722240.1598134797744450.920093260112778
460.0562607885055870.1125215770111740.943739211494413
470.1677751051626480.3355502103252960.832224894837352
480.1874906017983920.3749812035967840.812509398201608
490.1574519384786460.3149038769572930.842548061521354
500.1183559696559520.2367119393119040.881644030344048
510.2495126709467050.499025341893410.750487329053295
520.3849067617296160.7698135234592320.615093238270384
530.3350159174547580.6700318349095150.664984082545242
540.2801305417079990.5602610834159980.719869458292001
550.1994374475946460.3988748951892930.800562552405354
560.1350560389662170.2701120779324330.864943961033783
570.1069380969332960.2138761938665910.893061903066704
580.07055408589468350.1411081717893670.929445914105317
590.08364003253167190.1672800650633440.916359967468328
600.2469023754998420.4938047509996850.753097624500158


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level00OK
5% type I error level100.192307692307692NOK
10% type I error level180.346153846153846NOK