Multiple Linear Regression - Estimated Regression Equation |
EurosPerUSdollar[t] = + 0.888233960265631 -0.00453309625968281Periodes[t] -1.14993498709251e-05BEL20[t] + 9.51187598678788e-06GoudkoersTeBrussel[t] -2.5170791808416e-06Uitvoer[t] -4.89924278373133e-06Invoer[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) | 0.888233960265631 | 0.066232 | 13.4109 | 0 | 0 |
Periodes | -0.00453309625968281 | 0.000988 | -4.5885 | 2.6e-05 | 1.3e-05 |
BEL20 | -1.14993498709251e-05 | 8e-06 | -1.429 | 0.158662 | 0.079331 |
GoudkoersTeBrussel | 9.51187598678788e-06 | 4e-06 | 2.1748 | 0.03396 | 0.01698 |
Uitvoer | -2.5170791808416e-06 | 7e-06 | -0.3383 | 0.736417 | 0.368208 |
Invoer | -4.89924278373133e-06 | 7e-06 | -0.6878 | 0.494479 | 0.24724 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.804662818730539 |
R-squared | 0.647482251847376 |
Adjusted R-squared | 0.615435183833501 |
F-TEST (value) | 20.204102651982 |
F-TEST (DF numerator) | 5 |
F-TEST (DF denominator) | 55 |
p-value | 2.19270157586493e-11 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 0.0363050137703873 |
Sum Squared Residuals | 0.0724929713677405 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 0.762253 | 0.843671991277531 | -0.0814189912775307 |
2 | 0.768403 | 0.833637882114508 | -0.0652348821145076 |
3 | 0.757518 | 0.813978981160321 | -0.0564609811603208 |
4 | 0.772917 | 0.820391348974099 | -0.0474743489740995 |
5 | 0.787774 | 0.819624111594465 | -0.0318501115944648 |
6 | 0.82203 | 0.808738017767945 | 0.0132919822320551 |
7 | 0.830772 | 0.822388772215476 | 0.00838322778452437 |
8 | 0.813537 | 0.817765988720103 | -0.00422898872010327 |
9 | 0.815927 | 0.800040756196952 | 0.0158862438030484 |
10 | 0.832293 | 0.810427241723214 | 0.0218657582767856 |
11 | 0.848464 | 0.794421583796393 | 0.054042416203607 |
12 | 0.843455 | 0.796386727307579 | 0.0470682726924213 |
13 | 0.826241 | 0.802286797491929 | 0.0239542025080711 |
14 | 0.837661 | 0.799989782107667 | 0.0376712178923329 |
15 | 0.831947 | 0.771731513956254 | 0.0602154860437457 |
16 | 0.81493 | 0.805190819556277 | 0.00973918044372308 |
17 | 0.783085 | 0.799330068149147 | -0.0162450681491467 |
18 | 0.790514 | 0.777597123302242 | 0.0129168766977577 |
19 | 0.788395 | 0.796997071813795 | -0.00860207181379474 |
20 | 0.780579 | 0.790001168246668 | -0.00942216824666842 |
21 | 0.785731 | 0.761931815651537 | 0.0237991843484626 |
22 | 0.792959 | 0.750528588518188 | 0.042430411481812 |
23 | 0.776337 | 0.750945553211717 | 0.0253914467882832 |
24 | 0.75683 | 0.756323561866315 | 0.000506438133684644 |
25 | 0.76929 | 0.742778328457145 | 0.0265116715428555 |
26 | 0.764877 | 0.748342801754839 | 0.0165341982451609 |
27 | 0.755173 | 0.723781344497106 | 0.031391655502894 |
28 | 0.739864 | 0.736650549036647 | 0.00321345096335257 |
29 | 0.740138 | 0.719487714160682 | 0.0206502858393178 |
30 | 0.745212 | 0.70940469391601 | 0.03580730608399 |
31 | 0.729076 | 0.711470930948566 | 0.0176050690514341 |
32 | 0.734107 | 0.72335481710131 | 0.0107521828986897 |
33 | 0.719632 | 0.711930567292278 | 0.00770143270772173 |
34 | 0.702889 | 0.695159790138731 | 0.00772920986126908 |
35 | 0.681013 | 0.708559330666324 | -0.027546330666324 |
36 | 0.686342 | 0.718331258725316 | -0.0319892587253156 |
37 | 0.67944 | 0.71697402717042 | -0.0375340271704196 |
38 | 0.678058 | 0.725730063673557 | -0.0476720636735568 |
39 | 0.644039 | 0.715386038603408 | -0.0713470386034082 |
40 | 0.63488 | 0.685182748293287 | -0.050302748293287 |
41 | 0.642797 | 0.691259722044628 | -0.0484627220446282 |
42 | 0.642963 | 0.680359076529332 | -0.0373960765293322 |
43 | 0.634115 | 0.692669994942908 | -0.0585549949429079 |
44 | 0.66778 | 0.696361049169219 | -0.0285810491692194 |
45 | 0.695894 | 0.671481954610629 | 0.0244120453893708 |
46 | 0.750638 | 0.691709099110155 | 0.0589289008898453 |
47 | 0.785423 | 0.710735685203506 | 0.0746873147964934 |
48 | 0.74355 | 0.721698034074849 | 0.0218519659251508 |
49 | 0.755344 | 0.734611015486383 | 0.020732984513617 |
50 | 0.782167 | 0.758749628710053 | 0.0234173712899473 |
51 | 0.766284 | 0.740256376245183 | 0.0260276237548164 |
52 | 0.75815 | 0.732720139656158 | 0.0254298603438421 |
53 | 0.732601 | 0.730705517169146 | 0.00189548283085429 |
54 | 0.71347 | 0.712848405337433 | 0.000621594662566759 |
55 | 0.709824 | 0.711650157619726 | -0.00182615761972592 |
56 | 0.700869 | 0.714071922439452 | -0.0132029224394515 |
57 | 0.686719 | 0.690945371271886 | -0.00422637127188598 |
58 | 0.674946 | 0.689515923349406 | -0.0145699233494056 |
59 | 0.670511 | 0.704752847062894 | -0.0342418470628936 |
60 | 0.684275 | 0.70311300024723 | -0.0188380002472303 |
61 | 0.700673 | 0.706507808563876 | -0.00583480856387616 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
9 | 0.13442694391123 | 0.268853887822461 | 0.86557305608877 |
10 | 0.101222222000066 | 0.202444444000133 | 0.898777777999934 |
11 | 0.0437135796079797 | 0.0874271592159595 | 0.95628642039202 |
12 | 0.0185818505882146 | 0.0371637011764292 | 0.981418149411785 |
13 | 0.00717323841428313 | 0.0143464768285663 | 0.992826761585717 |
14 | 0.00636683514372418 | 0.0127336702874484 | 0.993633164856276 |
15 | 0.00467227669071041 | 0.00934455338142083 | 0.99532772330929 |
16 | 0.0144273810772333 | 0.0288547621544665 | 0.985572618922767 |
17 | 0.0703309588276418 | 0.140661917655284 | 0.929669041172358 |
18 | 0.398901118459863 | 0.797802236919726 | 0.601098881540137 |
19 | 0.45957943659693 | 0.919158873193861 | 0.54042056340307 |
20 | 0.723559318030954 | 0.552881363938093 | 0.276440681969046 |
21 | 0.728074577340299 | 0.543850845319402 | 0.271925422659701 |
22 | 0.663096670124274 | 0.673806659751453 | 0.336903329875726 |
23 | 0.615817902712645 | 0.768364194574709 | 0.384182097287355 |
24 | 0.612587723329006 | 0.774824553341988 | 0.387412276670994 |
25 | 0.537920292258707 | 0.924159415482586 | 0.462079707741293 |
26 | 0.45651110926941 | 0.913022218538821 | 0.54348889073059 |
27 | 0.456550397144421 | 0.913100794288841 | 0.543449602855579 |
28 | 0.387115732891645 | 0.774231465783289 | 0.612884267108355 |
29 | 0.360000643656372 | 0.720001287312744 | 0.639999356343628 |
30 | 0.387438793130712 | 0.774877586261424 | 0.612561206869288 |
31 | 0.400875473900795 | 0.80175094780159 | 0.599124526099205 |
32 | 0.395650637790072 | 0.791301275580143 | 0.604349362209928 |
33 | 0.498325869381454 | 0.996651738762908 | 0.501674130618546 |
34 | 0.869891167194364 | 0.260217665611272 | 0.130108832805636 |
35 | 0.941519454861018 | 0.116961090277964 | 0.0584805451389818 |
36 | 0.967351126758032 | 0.0652977464839359 | 0.0326488732419679 |
37 | 0.96531799192963 | 0.0693640161407395 | 0.0346820080703698 |
38 | 0.969846203213826 | 0.0603075935723486 | 0.0301537967861743 |
39 | 0.960931824679254 | 0.0781363506414911 | 0.0390681753207456 |
40 | 0.941477359393982 | 0.117045281212036 | 0.058522640606018 |
41 | 0.955660076020589 | 0.0886798479588211 | 0.0443399239794105 |
42 | 0.955173101242125 | 0.0896537975157499 | 0.0448268987578749 |
43 | 0.981701567714706 | 0.0365968645705884 | 0.0182984322852942 |
44 | 0.991816076230437 | 0.0163678475391267 | 0.00818392376956335 |
45 | 0.994440034985859 | 0.0111199300282815 | 0.00555996501414074 |
46 | 0.996369707401733 | 0.00726058519653459 | 0.00363029259826729 |
47 | 0.999840292131579 | 0.000319415736842494 | 0.000159707868421247 |
48 | 0.999405888888487 | 0.00118822222302598 | 0.000594111111512988 |
49 | 0.9977381995483 | 0.00452360090340015 | 0.00226180045170008 |
50 | 0.99223030079197 | 0.0155393984160591 | 0.00776969920802957 |
51 | 0.977160746342692 | 0.0456785073146167 | 0.0228392536573084 |
52 | 0.950034406800517 | 0.0999311863989661 | 0.049965593199483 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 5 | 0.113636363636364 | NOK |
5% type I error level | 14 | 0.318181818181818 | NOK |
10% type I error level | 22 | 0.5 | NOK |