Multiple Linear Regression - Estimated Regression Equation |
1[t] = -0.025509571538195 + 1.02298367182292`2`[t] -1.54009199054944`3`[t] + 1.20990317510017`4`[t] + 0.00903370786090523`5`[t] -8.02181521442909e-05`6`[t] -0.00890300581001685`7`[t] -0.0980023144493746`8`[t] -0.0709440502183449`9`[t] + 0.350662083674589`10`[t] -0.0979264916368679`11`[t] + 0.0450881141914299`12`[t] + 0.155991081761523`13`[t] + 0.0164940877869965`14`[t] -0.00531210425686906`15`[t] + 0.0162011040143489`16`[t] -0.0152730522117341`17`[t] -0.00130547807012773`18`[t] + 0.000456241898488734`19`[t] -0.00407167604273851`20`[t] -0.0185009383539669`21`[t] + 0.0229195037323529`22`[t] -0.0010301365685055`23`[t] + 0.000872362770270996`24`[t] -0.00788991866450968`25`[t] + 0.028278525713804`26`[t] + 0.00778844841456031`27`[t] -0.0371256573823183`28`[t] + 0.00870955994557059`29`[t] + 0.000728801612223352`30`[t] -0.00103897681710499`31`[t] + 0.00163512938489379`32`[t] -0.000687585717098519`33`[t] -0.0148612374310191`34`[t] + 0.0316461691447457`35`[t] -0.0164893467445095`36`[t] + 0.00351558897469833`37`[t] -0.00584471157584523`38`[t] + 0.00305706625324433`39`[t] -0.00141489137610809`40`[t] + 0.0024844088867291`41`[t] -0.00107268304507313`42`[t] + 0.000194191239650074`43`[t] + 6.48585714621002e-06`44`[t] + 0.000859048392497709`45`[t] + 4.14287296047386e-05`46`[t] + 0.000719264777398322`47`[t] -0.00065174040309608`48`[t] + 0.000179324868785439`49`[t] + 0.000157873312973866`50`[t] + 0.530898700823841`51`[t] -0.531882417328776`52`[t] -0.000959859532930707`53`[t] -0.000678931893462437`54`[t] + 0.000505900404539507`55`[t] -0.000303779451876726`56`[t] + 0.000164120567008593`57`[t] -0.00331962615319036`58`[t] + 0.0153562182194979`59`[t] -0.000675389974621329`60`[t] -0.00455251306316104`61`[t] + 0.0104261769239216`62`[t] -0.0122027895961027`63`[t] + 0.00539850622096554`64\r`[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) | -0.025509571538195 | 0.028103 | -0.9077 | 0.366504 | 0.183252 |
`2` | 1.02298367182292 | 0.01958 | 52.2463 | 0 | 0 |
`3` | -1.54009199054944 | 0.134116 | -11.4833 | 0 | 0 |
`4` | 1.20990317510017 | 0.115647 | 10.462 | 0 | 0 |
`5` | 0.00903370786090523 | 0.017682 | 0.5109 | 0.610707 | 0.305353 |
`6` | -8.02181521442909e-05 | 0.000152 | -0.5262 | 0.600076 | 0.300038 |
`7` | -0.00890300581001685 | 0.01747 | -0.5096 | 0.611596 | 0.305798 |
`8` | -0.0980023144493746 | 0.010888 | -9.001 | 0 | 0 |
`9` | -0.0709440502183449 | 0.019897 | -3.5656 | 0.00059 | 0.000295 |
`10` | 0.350662083674589 | 0.024856 | 14.1079 | 0 | 0 |
`11` | -0.0979264916368679 | 0.014133 | -6.9287 | 0 | 0 |
`12` | 0.0450881141914299 | 0.010298 | 4.3783 | 3.3e-05 | 1.6e-05 |
`13` | 0.155991081761523 | 0.011414 | 13.6665 | 0 | 0 |
`14` | 0.0164940877869965 | 0.013026 | 1.2663 | 0.208765 | 0.104383 |
`15` | -0.00531210425686906 | 0.005216 | -1.0185 | 0.31123 | 0.155615 |
`16` | 0.0162011040143489 | 0.012894 | 1.2565 | 0.212275 | 0.106138 |
`17` | -0.0152730522117341 | 0.012998 | -1.175 | 0.243169 | 0.121585 |
`18` | -0.00130547807012773 | 0.001302 | -1.0024 | 0.318878 | 0.159439 |
`19` | 0.000456241898488734 | 0.00052 | 0.8781 | 0.382294 | 0.191147 |
`20` | -0.00407167604273851 | 0.001339 | -3.0407 | 0.003109 | 0.001555 |
`21` | -0.0185009383539669 | 0.007252 | -2.5512 | 0.012464 | 0.006232 |
`22` | 0.0229195037323529 | 0.007258 | 3.1578 | 0.002178 | 0.001089 |
`23` | -0.0010301365685055 | 0.00031 | -3.3257 | 0.001288 | 0.000644 |
`24` | 0.000872362770270996 | 0.000273 | 3.1951 | 0.001941 | 0.00097 |
`25` | -0.00788991866450968 | 0.002151 | -3.668 | 0.000418 | 0.000209 |
`26` | 0.028278525713804 | 0.007782 | 3.6337 | 0.000469 | 0.000235 |
`27` | 0.00778844841456031 | 0.002881 | 2.7031 | 0.008244 | 0.004122 |
`28` | -0.0371256573823183 | 0.006288 | -5.9046 | 0 | 0 |
`29` | 0.00870955994557059 | 0.003335 | 2.6119 | 0.010585 | 0.005293 |
`30` | 0.000728801612223352 | 0.000637 | 1.1446 | 0.255466 | 0.127733 |
`31` | -0.00103897681710499 | 0.001347 | -0.7713 | 0.442597 | 0.221299 |
`32` | 0.00163512938489379 | 0.002515 | 0.6502 | 0.517238 | 0.258619 |
`33` | -0.000687585717098519 | 0.000511 | -1.3449 | 0.1821 | 0.09105 |
`34` | -0.0148612374310191 | 0.003368 | -4.4119 | 2.9e-05 | 1.4e-05 |
`35` | 0.0316461691447457 | 0.007173 | 4.4118 | 2.9e-05 | 1.4e-05 |
`36` | -0.0164893467445095 | 0.003776 | -4.3663 | 3.4e-05 | 1.7e-05 |
`37` | 0.00351558897469833 | 0.000996 | 3.5306 | 0.000662 | 0.000331 |
`38` | -0.00584471157584523 | 0.002456 | -2.3794 | 0.019503 | 0.009752 |
`39` | 0.00305706625324433 | 0.000932 | 3.2805 | 0.001486 | 0.000743 |
`40` | -0.00141489137610809 | 0.000986 | -1.435 | 0.154838 | 0.077419 |
`41` | 0.0024844088867291 | 0.001889 | 1.3149 | 0.191947 | 0.095973 |
`42` | -0.00107268304507313 | 0.000558 | -1.9207 | 0.058013 | 0.029006 |
`43` | 0.000194191239650074 | 0.000515 | 0.3773 | 0.706892 | 0.353446 |
`44` | 6.48585714621002e-06 | 0.000163 | 0.0397 | 0.968444 | 0.484222 |
`45` | 0.000859048392497709 | 0.000819 | 1.049 | 0.297069 | 0.148535 |
`46` | 4.14287296047386e-05 | 7.5e-05 | 0.549 | 0.58439 | 0.292195 |
`47` | 0.000719264777398322 | 0.002823 | 0.2548 | 0.799491 | 0.399746 |
`48` | -0.00065174040309608 | 0.004587 | -0.1421 | 0.887326 | 0.443663 |
`49` | 0.000179324868785439 | 0.001861 | 0.0963 | 0.92347 | 0.461735 |
`50` | 0.000157873312973866 | 8.9e-05 | 1.7718 | 0.079893 | 0.039947 |
`51` | 0.530898700823841 | 0.038281 | 13.8683 | 0 | 0 |
`52` | -0.531882417328776 | 0.039017 | -13.632 | 0 | 0 |
`53` | -0.000959859532930707 | 0.000455 | -2.1087 | 0.037813 | 0.018907 |
`54` | -0.000678931893462437 | 0.001265 | -0.5368 | 0.592749 | 0.296374 |
`55` | 0.000505900404539507 | 0.000306 | 1.6508 | 0.102351 | 0.051175 |
`56` | -0.000303779451876726 | 0.000467 | -0.6509 | 0.516794 | 0.258397 |
`57` | 0.000164120567008593 | 0.000958 | 0.1714 | 0.864307 | 0.432154 |
`58` | -0.00331962615319036 | 0.002804 | -1.1839 | 0.239641 | 0.11982 |
`59` | 0.0153562182194979 | 0.013488 | 1.1385 | 0.258013 | 0.129006 |
`60` | -0.000675389974621329 | 0.000929 | -0.7266 | 0.469379 | 0.234689 |
`61` | -0.00455251306316104 | 0.005699 | -0.7989 | 0.426525 | 0.213262 |
`62` | 0.0104261769239216 | 0.009978 | 1.0449 | 0.29893 | 0.149465 |
`63` | -0.0122027895961027 | 0.012369 | -0.9865 | 0.326579 | 0.163289 |
`64\r` | 0.00539850622096554 | 0.002903 | 1.8595 | 0.066296 | 0.033148 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.99999983320404 |
R-squared | 0.999999666408108 |
Adjusted R-squared | 0.99999942758664 |
F-TEST (value) | 4187226.86201794 |
F-TEST (DF numerator) | 63 |
F-TEST (DF denominator) | 88 |
p-value | 0 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 0.00759373609407278 |
Sum Squared Residuals | 0.00507450485224528 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 77.5 | 77.5010566922501 | -0.00105669225007901 |
2 | 83.8 | 83.7931272212933 | 0.00687277870674004 |
3 | 94.6 | 94.6045633667348 | -0.00456336673476139 |
4 | 83.5 | 83.4931433288964 | 0.00685667110363838 |
5 | 91.7 | 91.693358960275 | 0.00664103972497848 |
6 | 88.9 | 88.9100370719864 | -0.0100370719864286 |
7 | 74.9 | 74.8979789176484 | 0.00202108235164026 |
8 | 81.3 | 81.2970152137996 | 0.00298478620042535 |
9 | 92 | 92.0073823990371 | -0.0073823990371042 |
10 | 92.7 | 92.6959812137922 | 0.00401878620783881 |
11 | 92 | 92.0004729827473 | -0.000472982747267363 |
12 | 84.7 | 84.7045786303779 | -0.00457863037793139 |
13 | 92.7 | 92.6964138616571 | 0.00358613834293547 |
14 | 90.6 | 90.60411253833 | -0.00411253833001085 |
15 | 98.5 | 98.4954794734219 | 0.00452052657810145 |
16 | 86.9 | 86.8944199586528 | 0.0055800413471931 |
17 | 93.6 | 93.594106200202 | 0.00589379979798595 |
18 | 96.4 | 96.4020251686609 | -0.00202516866088677 |
19 | 79.7 | 79.7009940899816 | -0.000994089981628307 |
20 | 83.7 | 83.7053293590034 | -0.00532935900342883 |
21 | 91.2 | 91.2081928644646 | -0.00819286446457217 |
22 | 97.3 | 97.2938924531054 | 0.00610754689457841 |
23 | 92.3 | 92.3046621509037 | -0.00466215090364907 |
24 | 81.4 | 81.390481483996 | 0.00951851600403536 |
25 | 89.5 | 89.5060651046722 | -0.00606510467216721 |
26 | 87.2 | 87.1956225958002 | 0.00437740419978808 |
27 | 95.4 | 95.3946520157876 | 0.00534798421237557 |
28 | 93 | 92.9954129723441 | 0.00458702765589669 |
29 | 91.1 | 91.0953997009871 | 0.00460029901290737 |
30 | 92.4 | 92.4103103422331 | -0.0103103422330993 |
31 | 83.4 | 83.4117714900902 | -0.0117714900902215 |
32 | 81.5 | 81.4974112698837 | 0.00258873011626271 |
33 | 95.1 | 95.1023633445189 | -0.00236334451889685 |
34 | 100.6 | 100.606794702312 | -0.00679470231172035 |
35 | 91.7 | 91.7040150911227 | -0.00401509112265142 |
36 | 84.9 | 84.9142689917392 | -0.0142689917392349 |
37 | 92.6 | 92.6080207014794 | -0.00802070147942071 |
38 | 90.5 | 90.4956065388921 | 0.00439346110792817 |
39 | 97.1 | 97.0976161697418 | 0.00238383025818656 |
40 | 94.6 | 94.6047937868316 | -0.00479378683157077 |
41 | 89.8 | 89.795317861631 | 0.00468213836902799 |
42 | 95.8 | 95.788680959887 | 0.0113190401129601 |
43 | 87.9 | 87.9117424514388 | -0.0117424514387607 |
44 | 81.1 | 81.0924050946852 | 0.0075949053147491 |
45 | 100.8 | 100.800768222465 | -0.000768222464527719 |
46 | 103.3 | 103.287730034359 | 0.0122699656407447 |
47 | 92 | 91.9982615678245 | 0.00173843217546366 |
48 | 96.1 | 96.1030021656202 | -0.0030021656202132 |
49 | 90.2 | 90.2045411976938 | -0.00454119769381836 |
50 | 91.7 | 91.7022841710682 | -0.00228417106822243 |
51 | 105.7 | 105.689892263255 | 0.0101077367454556 |
52 | 98 | 98.0094294328868 | -0.00942943288683069 |
53 | 91.4 | 91.3909781607646 | 0.00902183923540152 |
54 | 106.2 | 106.201889344876 | -0.00188934487627839 |
55 | 89.8 | 89.7963148104484 | 0.00368518955162263 |
56 | 89.2 | 89.1924486272553 | 0.00755137274467104 |
57 | 105.6 | 105.597118985491 | 0.00288101450923717 |
58 | 104 | 103.989769057404 | 0.010230942596477 |
59 | 100.3 | 100.298293756785 | 0.00170624321449777 |
60 | 102.5 | 102.497493656544 | 0.00250634345616184 |
61 | 96.5 | 96.5004017593771 | -0.000401759377130668 |
62 | 95 | 94.9968715744457 | 0.00312842555431857 |
63 | 106.5 | 106.50082607631 | -0.000826076309637328 |
64 | 102.1 | 102.096136711894 | 0.00386328810635078 |
65 | 96.3 | 96.3039538673758 | -0.00395386737579088 |
66 | 108.4 | 108.40364959467 | -0.00364959466976989 |
67 | 87 | 87.0019789826915 | -0.00197898269152419 |
68 | 90.7 | 90.7123709658751 | -0.0123709658750502 |
69 | 107.9 | 107.898649988927 | 0.00135001107268127 |
70 | 101.2 | 101.203441293924 | -0.00344129392414656 |
71 | 104.7 | 104.691607069041 | 0.00839293095915049 |
72 | 103.7 | 103.696664417433 | 0.00333558256708479 |
73 | 99.3 | 99.2978929241041 | 0.00210707589590814 |
74 | 99.6 | 99.602843325229 | -0.00284332522904905 |
75 | 113.9 | 113.89565239261 | 0.00434760739046396 |
76 | 97.2 | 97.2043584846093 | -0.00435848460928993 |
77 | 106.2 | 106.203416607965 | -0.00341660796509526 |
78 | 110.7 | 110.712625168668 | -0.0126251686678056 |
79 | 89.6 | 89.6046805634245 | -0.00468056342449926 |
80 | 93.3 | 93.2885073664773 | 0.0114926335227247 |
81 | 107.6 | 107.605067453832 | -0.00506745383179277 |
82 | 111.7 | 111.695290189223 | 0.00470981077664919 |
83 | 106.9 | 106.909524360946 | -0.00952436094624044 |
84 | 102.6 | 102.598948366114 | 0.00105163388574242 |
85 | 105.8 | 105.799491954083 | 0.000508045917151207 |
86 | 103.7 | 103.703880016832 | -0.00388001683184729 |
87 | 115.8 | 115.79566062856 | 0.00433937144023789 |
88 | 103.8 | 103.795343318142 | 0.0046566818583738 |
89 | 108.2 | 108.204724551916 | -0.00472455191560615 |
90 | 115.5 | 115.494878653883 | 0.005121346116995 |
91 | 100.5 | 100.489793942851 | 0.0102060571493481 |
92 | 101.1 | 101.108154485011 | -0.00815448501055925 |
93 | 108.6 | 108.594887640242 | 0.00511235975826125 |
94 | 119.5 | 119.493895315648 | 0.00610468435220571 |
95 | 113.6 | 113.606044696467 | -0.00604469646746757 |
96 | 105.9 | 105.894187572617 | 0.00581242738298892 |
97 | 112.3 | 112.301993034705 | -0.00199303470517053 |
98 | 112.7 | 112.694415793068 | 0.00558420693219483 |
99 | 113.4 | 113.408467960114 | -0.00846796011418185 |
100 | 117.3 | 117.302099101429 | -0.00209910142905809 |
101 | 109.4 | 109.395232513974 | 0.0047674860255803 |
102 | 117.8 | 117.791387592661 | 0.00861240733885242 |
103 | 105.6 | 105.598209417729 | 0.00179058227122495 |
104 | 96.3 | 96.3000635073166 | -6.35073165620299e-05 |
105 | 117.3 | 117.308652564087 | -0.00865256408694648 |
106 | 116.4 | 116.403150003406 | -0.0031500034056215 |
107 | 99.2 | 99.2095221743593 | -0.00952217435924153 |
108 | 100.8 | 100.801400570446 | -0.00140057044628829 |
109 | 90.4 | 90.3983588789235 | 0.00164112107650526 |
110 | 92.1 | 92.0970089059212 | 0.00299109407880995 |
111 | 101.8 | 101.807208045239 | -0.00720804523929371 |
112 | 93.7 | 93.6991996408015 | 0.000800359198515408 |
113 | 96 | 96.0007206835888 | -0.000720683588766519 |
114 | 102 | 101.992817512185 | 0.00718248781528856 |
115 | 89.2 | 89.1983812357373 | 0.00161876426266864 |
116 | 89 | 88.9981113147286 | 0.00188868527136642 |
117 | 105.9 | 105.906959592062 | -0.00695959206247239 |
118 | 105.2 | 105.19729880746 | 0.00270119253995069 |
119 | 100.2 | 100.200998447764 | -0.000998447763840416 |
120 | 97.5 | 97.4897476705355 | 0.0102523294644937 |
121 | 95.4 | 95.4077373530691 | -0.00773735306909729 |
122 | 100.6 | 100.601825874549 | -0.00182587454867054 |
123 | 114 | 114.003891099043 | -0.0038910990426522 |
124 | 105.1 | 105.097717440215 | 0.00228255978547918 |
125 | 101.5 | 101.509564109966 | -0.00956410996563589 |
126 | 115.5 | 115.492989705877 | 0.00701029412266441 |
127 | 95.5 | 95.4998694147101 | 0.000130585289913172 |
128 | 96.5 | 96.4956086220709 | 0.00439137792910208 |
129 | 114.6 | 114.60379367727 | -0.00379367726970594 |
130 | 110.4 | 110.394516769188 | 0.00548323081194814 |
131 | 109 | 108.997744738822 | 0.00225526117847706 |
132 | 104.8 | 104.795954113796 | 0.00404588620425834 |
133 | 103.9 | 103.891925740933 | 0.00807425906727216 |
134 | 107.4 | 107.404859698165 | -0.00485969816522837 |
135 | 124.8 | 124.799197743933 | 0.000802256067281177 |
136 | 108.1 | 108.105663136628 | -0.00566313662834806 |
137 | 115.9 | 115.909489637948 | -0.0094896379475441 |
138 | 111.2 | 111.201828484941 | -0.00182848494082401 |
139 | 95.6 | 95.5965193099455 | 0.00348069005445204 |
140 | 103.3 | 103.304348007061 | -0.00434800706102899 |
141 | 117.7 | 117.70747768056 | -0.00747768055961866 |
142 | 110.5 | 110.494953515174 | 0.005046484825869 |
143 | 109.2 | 109.201463391694 | -0.00146339169423313 |
144 | 105.8 | 105.794219638812 | 0.00578036118756203 |
145 | 103.8 | 103.800421326208 | -0.000421326207594599 |
146 | 102.1 | 102.100100515095 | -0.000100515095429299 |
147 | 97.1 | 97.100556271519 | -0.000556271519025742 |
148 | 101.2 | 101.200321424997 | -0.00032142499737803 |
149 | 102.8 | 102.800176918354 | -0.000176918354219694 |
150 | 108.1 | 108.10004669105 | -4.6691050406408e-05 |
151 | 97.7 | 97.7002606318329 | -0.000260631832859829 |
152 | 121.8 | 121.799957824882 | 4.2175118356487e-05 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
67 | 3.83391178375063e-39 | 7.66782356750125e-39 | 1 |
68 | 1.06061849058513e-50 | 2.12123698117026e-50 | 1 |
69 | 7.36506566040947e-63 | 1.47301313208189e-62 | 1 |
70 | 8.31717690620121e-79 | 1.66343538124024e-78 | 1 |
71 | 1.08942359750675e-90 | 2.1788471950135e-90 | 1 |
72 | 1.09724619533021e-103 | 2.19449239066042e-103 | 1 |
73 | 3.89267509319337e-117 | 7.78535018638673e-117 | 1 |
74 | 1.99123189982405e-129 | 3.98246379964811e-129 | 1 |
75 | 5.95351337724247e-136 | 1.19070267544849e-135 | 1 |
76 | 6.32959569517309e-149 | 1.26591913903462e-148 | 1 |
77 | 2.81306652891978e-167 | 5.62613305783956e-167 | 1 |
78 | 2.98589153373451e-173 | 5.97178306746902e-173 | 1 |
79 | 9.99086690436087e-185 | 1.99817338087217e-184 | 1 |
80 | 1.01295105409723e-201 | 2.02590210819445e-201 | 1 |
81 | 1.24528118250803e-211 | 2.49056236501606e-211 | 1 |
82 | 1.52765456098729e-230 | 3.05530912197457e-230 | 1 |
83 | 8.60963907074478e-239 | 1.72192781414896e-238 | 1 |
84 | 9.70705480585013e-250 | 1.94141096117003e-249 | 1 |
85 | 2.58037956991753e-246 | 5.16075913983506e-246 | 1 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 19 | 1 | NOK |
5% type I error level | 19 | 1 | NOK |
10% type I error level | 19 | 1 | NOK |