Multiple Linear Regression - Estimated Regression Equation |
uitvoer[t] = + 2113.94008826516 + 0.87631681502034invoer[t] -673.894099652128crisis[t] + e[t] |
Multiple Linear Regression - Ordinary Least Squares | |||||
Variable | Parameter | S.D. | T-STAT H0: parameter = 0 | 2-tail p-value | 1-tail p-value |
(Intercept) | 2113.94008826516 | 1023.768921 | 2.0649 | 0.043939 | 0.021969 |
invoer | 0.87631681502034 | 0.056187 | 15.5964 | 0 | 0 |
crisis | -673.894099652128 | 245.819041 | -2.7414 | 0.008367 | 0.004184 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.943748599824329 |
R-squared | 0.890661419670381 |
Adjusted R-squared | 0.886456089657704 |
F-TEST (value) | 211.793466145425 |
F-TEST (DF numerator) | 2 |
F-TEST (DF denominator) | 52 |
p-value | 0 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 680.349569326576 |
Sum Squared Residuals | 24069527.8971086 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 16198.9 | 16920.3642582118 | -721.464258211822 |
2 | 16554.2 | 16746.6782654748 | -192.478265474802 |
3 | 19554.2 | 19370.0202829197 | 184.179717080307 |
4 | 15903.8 | 16074.2803733097 | -170.480373309698 |
5 | 18003.8 | 17400.936399569 | 602.863600431011 |
6 | 18329.6 | 17624.2219240362 | 705.378075963825 |
7 | 16260.7 | 15425.0172450611 | 835.682754938875 |
8 | 14851.9 | 15848.1906350344 | -996.29063503445 |
9 | 18174.1 | 17169.7640237666 | 1004.33597623338 |
10 | 18406.6 | 17593.9889939180 | 812.611006082027 |
11 | 18466.5 | 17767.499723292 | 699.000276708 |
12 | 16016.5 | 16277.2353476684 | -260.735347668407 |
13 | 17428.5 | 17417.5864190544 | 10.9135809456248 |
14 | 17167.2 | 16811.6133414678 | 355.586658532191 |
15 | 19630 | 18857.6378411773 | 772.362158822697 |
16 | 17183.6 | 16767.0964472648 | 416.503552735221 |
17 | 18344.7 | 18028.9926608941 | 315.707339105934 |
18 | 19301.4 | 18334.4767026102 | 966.923297389841 |
19 | 18147.5 | 17714.7454510278 | 432.754548972226 |
20 | 16192.9 | 16494.2113910674 | -301.311391067445 |
21 | 18374.4 | 17859.3377255061 | 515.062274493871 |
22 | 20515.2 | 19891.4287878568 | 623.771212143204 |
23 | 18957.2 | 19234.8045983621 | -277.604598362055 |
24 | 16471.5 | 17906.8340968802 | -1435.33409688023 |
25 | 18746.8 | 19810.5447458304 | -1063.74474583042 |
26 | 19009.5 | 18807.4248876766 | 202.075112323365 |
27 | 19211.2 | 19854.7111133074 | -643.511113307445 |
28 | 20547.7 | 20931.3539522414 | -383.653952241434 |
29 | 19325.8 | 19354.2465802493 | -28.4465802493284 |
30 | 20605.5 | 20563.2132582514 | 42.2867417486085 |
31 | 20056.9 | 19780.0489206677 | 276.851079332289 |
32 | 16141.4 | 18066.0608621694 | -1924.66086216943 |
33 | 20359.8 | 20770.2869216407 | -410.486921640698 |
34 | 19711.6 | 19345.2140481531 | 366.385951846866 |
35 | 15638.6 | 16495.5193973885 | -856.919397388489 |
36 | 14384.5 | 15300.5737884268 | -916.073788426751 |
37 | 13855.6 | 14647.7177612366 | -792.117761236598 |
38 | 14308.3 | 14165.1300912049 | 143.169908795102 |
39 | 15290.6 | 15170.8788998037 | 119.721100196260 |
40 | 14423.8 | 14012.4757020284 | 411.324297971646 |
41 | 13779.7 | 13604.1996979104 | 175.500302089624 |
42 | 15686.3 | 14993.0742180361 | 693.225781963885 |
43 | 14733.8 | 13917.2200642356 | 816.579935764356 |
44 | 12522.5 | 13320.8864716143 | -798.386471614302 |
45 | 16189.4 | 15572.9330545351 | 616.466945464926 |
46 | 16059.1 | 16156.8229483831 | -97.7229483831274 |
47 | 16007.1 | 15473.3834643488 | 533.716535651237 |
48 | 15806.8 | 16221.6703926946 | -414.870392694634 |
49 | 15160 | 16147.8033540899 | -987.803354089903 |
50 | 15692.1 | 16028.6242672471 | -336.524267247137 |
51 | 18908.9 | 18470.3058089383 | 438.594191061689 |
52 | 16969.9 | 17854.7808780680 | -884.880878068023 |
53 | 16997.5 | 17302.8765479682 | -305.376547968215 |
54 | 19858.9 | 19239.0109190742 | 619.889080925849 |
55 | 17681.2 | 17189.7440471491 | 491.455952850914 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
6 | 0.512235793360664 | 0.975528413278672 | 0.487764206639336 |
7 | 0.587549005183318 | 0.824901989633363 | 0.412450994816682 |
8 | 0.708054266700753 | 0.583891466598493 | 0.291945733299247 |
9 | 0.755040102646188 | 0.489919794707624 | 0.244959897353812 |
10 | 0.723650761982486 | 0.552698476035028 | 0.276349238017514 |
11 | 0.663712673533466 | 0.672574652933069 | 0.336287326466534 |
12 | 0.580187316471073 | 0.839625367057853 | 0.419812683528927 |
13 | 0.488532343090435 | 0.97706468618087 | 0.511467656909565 |
14 | 0.404507739516898 | 0.809015479033797 | 0.595492260483102 |
15 | 0.349800106672512 | 0.699600213345023 | 0.650199893327488 |
16 | 0.289247961199047 | 0.578495922398093 | 0.710752038800953 |
17 | 0.225353447621683 | 0.450706895243367 | 0.774646552378317 |
18 | 0.239049383386556 | 0.478098766773113 | 0.760950616613444 |
19 | 0.195000378615763 | 0.390000757231525 | 0.804999621384237 |
20 | 0.156687017787507 | 0.313374035575014 | 0.843312982212493 |
21 | 0.133121321551605 | 0.266242643103211 | 0.866878678448395 |
22 | 0.122875368183478 | 0.245750736366957 | 0.877124631816522 |
23 | 0.152785478219056 | 0.305570956438112 | 0.847214521780944 |
24 | 0.48686811235452 | 0.97373622470904 | 0.51313188764548 |
25 | 0.657412408805518 | 0.685175182388963 | 0.342587591194482 |
26 | 0.597524969274574 | 0.804950061450852 | 0.402475030725426 |
27 | 0.588011049380148 | 0.823977901239703 | 0.411988950619852 |
28 | 0.527374212395278 | 0.945251575209443 | 0.472625787604722 |
29 | 0.448380437201945 | 0.896760874403889 | 0.551619562798055 |
30 | 0.371784222772703 | 0.743568445545406 | 0.628215777227297 |
31 | 0.323504324539428 | 0.647008649078855 | 0.676495675460572 |
32 | 0.775653398198049 | 0.448693203603903 | 0.224346601801951 |
33 | 0.731389231547832 | 0.537221536904336 | 0.268610768452168 |
34 | 0.657329170890061 | 0.685341658219879 | 0.342670829109939 |
35 | 0.741262459705623 | 0.517475080588755 | 0.258737540294378 |
36 | 0.813785533175404 | 0.372428933649192 | 0.186214466824596 |
37 | 0.851029221124117 | 0.297941557751765 | 0.148970778875883 |
38 | 0.802725120957756 | 0.394549758084487 | 0.197274879042244 |
39 | 0.741669845897481 | 0.516660308205038 | 0.258330154102519 |
40 | 0.694055203915248 | 0.611889592169505 | 0.305944796084752 |
41 | 0.616734818239378 | 0.766530363521244 | 0.383265181760622 |
42 | 0.599307962892157 | 0.801384074215685 | 0.400692037107843 |
43 | 0.757251169298324 | 0.485497661403351 | 0.242748830701676 |
44 | 0.689131377523516 | 0.621737244952968 | 0.310868622476484 |
45 | 0.678873770592512 | 0.642252458814976 | 0.321126229407488 |
46 | 0.567058966539006 | 0.865882066921988 | 0.432941033460994 |
47 | 0.63756199985283 | 0.72487600029434 | 0.36243800014717 |
48 | 0.490098675387734 | 0.980197350775468 | 0.509901324612266 |
49 | 0.417077809199559 | 0.834155618399119 | 0.58292219080044 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 0 | 0 | OK |
5% type I error level | 0 | 0 | OK |
10% type I error level | 0 | 0 | OK |