| Multiple Linear Regression - Estimated Regression Equation |
| TWIB[t] = + 590737.37772413 -15986.3450682317`GI `[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) | 590737.37772413 | 10340.353582 | 57.1293 | 0 | 0 |
| `GI ` | -15986.3450682317 | 4312.694333 | -3.7068 | 0.000416 | 0.000208 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.405072588600541 |
| R-squared | 0.164083802035543 |
| Adjusted R-squared | 0.152142142064622 |
| F-TEST (value) | 13.7404516989350 |
| F-TEST (DF numerator) | 1 |
| F-TEST (DF denominator) | 70 |
| p-value | 0.000416220845781301 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 37681.9910683079 |
| Sum Squared Residuals | 99395271561.0424 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 519164 | 576349.667162721 | -57185.6671627208 |
| 2 | 517009 | 569955.129135428 | -52946.1291354283 |
| 3 | 509933 | 568356.494628605 | -58423.4946286051 |
| 4 | 509127 | 566757.860121782 | -57630.8601217819 |
| 5 | 500857 | 573152.398149075 | -72295.3981490746 |
| 6 | 506971 | 565159.225614959 | -58188.2256149588 |
| 7 | 569323 | 566757.860121782 | 2565.13987821805 |
| 8 | 579714 | 565159.225614959 | 14554.7743850412 |
| 9 | 577992 | 563560.591108136 | 14431.4088918644 |
| 10 | 565464 | 565159.225614959 | 304.774385041221 |
| 11 | 547344 | 563560.591108136 | -16216.5911081356 |
| 12 | 554788 | 565159.225614959 | -10371.2256149588 |
| 13 | 562325 | 565159.225614959 | -2834.22561495878 |
| 14 | 560854 | 569955.129135428 | -9101.1291354283 |
| 15 | 555332 | 573152.398149075 | -17820.3981490746 |
| 16 | 543599 | 565159.225614959 | -21560.2256149588 |
| 17 | 536662 | 560363.322094489 | -23701.3220944893 |
| 18 | 542722 | 565159.225614959 | -22437.2256149588 |
| 19 | 593530 | 563560.591108136 | 29969.4088918644 |
| 20 | 610763 | 565159.225614959 | 45603.7743850412 |
| 21 | 612613 | 568356.494628605 | 44256.5053713949 |
| 22 | 611324 | 557166.053080843 | 54157.9469191571 |
| 23 | 594167 | 560363.322094489 | 33803.6779055107 |
| 24 | 595454 | 563560.591108136 | 31893.4088918644 |
| 25 | 590865 | 561961.956601312 | 28903.0433986876 |
| 26 | 589379 | 558764.687587666 | 30614.3124123339 |
| 27 | 584428 | 550771.51505355 | 33656.4849464498 |
| 28 | 573100 | 557166.053080843 | 15933.9469191571 |
| 29 | 567456 | 557166.053080843 | 10289.9469191571 |
| 30 | 569028 | 553968.784067197 | 15059.2159328034 |
| 31 | 620735 | 552370.149560373 | 68364.8504396266 |
| 32 | 628884 | 552370.149560373 | 76513.8504396266 |
| 33 | 628232 | 553968.784067197 | 74263.2159328034 |
| 34 | 612117 | 563560.591108136 | 48556.4088918644 |
| 35 | 595404 | 558764.687587666 | 36639.3124123339 |
| 36 | 597141 | 553968.784067197 | 43172.2159328034 |
| 37 | 593408 | 558764.687587666 | 34643.3124123339 |
| 38 | 590072 | 558764.687587666 | 31307.3124123339 |
| 39 | 579799 | 569955.129135428 | 9843.8708645717 |
| 40 | 574205 | 563560.591108136 | 10644.4088918644 |
| 41 | 572775 | 560363.322094489 | 12411.6779055107 |
| 42 | 572942 | 563560.591108136 | 9381.4088918644 |
| 43 | 619567 | 565159.225614959 | 54407.7743850412 |
| 44 | 625809 | 563560.591108136 | 62248.4088918644 |
| 45 | 619916 | 561961.956601312 | 57954.0433986876 |
| 46 | 587625 | 560363.322094489 | 27261.6779055107 |
| 47 | 565742 | 560363.322094489 | 5378.67790551074 |
| 48 | 557274 | 560363.322094489 | -3089.32209448926 |
| 49 | 560576 | 558764.687587666 | 1811.31241233392 |
| 50 | 548854 | 557166.053080843 | -8312.05308084291 |
| 51 | 531673 | 560363.322094489 | -28690.3220944893 |
| 52 | 525919 | 560363.322094489 | -34444.3220944893 |
| 53 | 511038 | 569955.129135428 | -58917.1291354283 |
| 54 | 498662 | 569955.129135428 | -71293.1291354283 |
| 55 | 555362 | 568356.494628605 | -12994.4946286051 |
| 56 | 564591 | 571553.763642251 | -6962.76364225148 |
| 57 | 541657 | 569955.129135428 | -28298.1291354283 |
| 58 | 527070 | 561961.956601312 | -34891.9566013124 |
| 59 | 509846 | 555567.41857402 | -45721.4185740197 |
| 60 | 514258 | 549172.880546727 | -34914.8805467270 |
| 61 | 516922 | 545975.611533081 | -29053.6115330807 |
| 62 | 507561 | 541179.708012611 | -33618.7080126112 |
| 63 | 492622 | 528390.631958026 | -35768.6319580258 |
| 64 | 490243 | 531587.900971672 | -41344.9009716721 |
| 65 | 469357 | 517200.190410264 | -47843.1904102636 |
| 66 | 477580 | 509207.017876148 | -31627.0178761477 |
| 67 | 528379 | 507608.383369324 | 20770.6166306755 |
| 68 | 533590 | 512404.286889794 | 21185.7131102060 |
| 69 | 517945 | 509207.017876148 | 8737.9821238523 |
| 70 | 506174 | 514002.921396617 | -7828.92139661722 |
| 71 | 501866 | 528390.631958026 | -26524.6319580258 |
| 72 | 516141 | 534785.169985318 | -18644.1699853185 |
| Goldfeld-Quandt test for Heteroskedasticity | |||
| p-values | Alternative Hypothesis | ||
| breakpoint index | greater | 2-sided | less |
| 5 | 0.016913510593275 | 0.03382702118655 | 0.983086489406725 |
| 6 | 0.00358411995793588 | 0.00716823991587176 | 0.996415880042064 |
| 7 | 0.237672048766163 | 0.475344097532327 | 0.762327951233837 |
| 8 | 0.384538040768116 | 0.769076081536232 | 0.615461959231884 |
| 9 | 0.354224872645195 | 0.708449745290391 | 0.645775127354805 |
| 10 | 0.278194853072496 | 0.556389706144992 | 0.721805146927504 |
| 11 | 0.199997735136453 | 0.399995470272905 | 0.800002264863547 |
| 12 | 0.136930357558613 | 0.273860715117227 | 0.863069642441387 |
| 13 | 0.0952596214103148 | 0.190519242820630 | 0.904740378589685 |
| 14 | 0.0969543674891625 | 0.193908734978325 | 0.903045632510837 |
| 15 | 0.105780792006617 | 0.211561584013233 | 0.894219207993383 |
| 16 | 0.0746677856259587 | 0.149335571251917 | 0.925332214374041 |
| 17 | 0.0675754175387887 | 0.135150835077577 | 0.932424582461211 |
| 18 | 0.0470591332045387 | 0.0941182664090773 | 0.952940866795461 |
| 19 | 0.0612403563719815 | 0.122480712743963 | 0.938759643628019 |
| 20 | 0.132379852643227 | 0.264759705286453 | 0.867620147356773 |
| 21 | 0.262268071191072 | 0.524536142382144 | 0.737731928808928 |
| 22 | 0.254723682582553 | 0.509447365165107 | 0.745276317417447 |
| 23 | 0.213619458183434 | 0.427238916366868 | 0.786380541816566 |
| 24 | 0.193846903508987 | 0.387693807017973 | 0.806153096491014 |
| 25 | 0.157702034085317 | 0.315404068170635 | 0.842297965914683 |
| 26 | 0.121832088532867 | 0.243664177065734 | 0.878167911467133 |
| 27 | 0.117541858343752 | 0.235083716687505 | 0.882458141656248 |
| 28 | 0.0899837376832852 | 0.179967475366570 | 0.910016262316715 |
| 29 | 0.0690646080268569 | 0.138129216053714 | 0.930935391973143 |
| 30 | 0.0557032393204555 | 0.111406478640911 | 0.944296760679544 |
| 31 | 0.0666317555899576 | 0.133263511179915 | 0.933368244410042 |
| 32 | 0.0991057900091866 | 0.198211580018373 | 0.900894209990813 |
| 33 | 0.152472157093061 | 0.304944314186121 | 0.84752784290694 |
| 34 | 0.206412209122353 | 0.412824418244706 | 0.793587790877647 |
| 35 | 0.192719671156356 | 0.385439342312712 | 0.807280328843644 |
| 36 | 0.195067265580262 | 0.390134531160524 | 0.804932734419738 |
| 37 | 0.186005648149231 | 0.372011296298462 | 0.813994351850769 |
| 38 | 0.174340112418894 | 0.348680224837788 | 0.825659887581106 |
| 39 | 0.166742121373003 | 0.333484242746005 | 0.833257878626997 |
| 40 | 0.134813088727866 | 0.269626177455733 | 0.865186911272134 |
| 41 | 0.110013583822211 | 0.220027167644422 | 0.88998641617779 |
| 42 | 0.0867604456649165 | 0.173520891329833 | 0.913239554335084 |
| 43 | 0.211140508393730 | 0.422281016787459 | 0.78885949160627 |
| 44 | 0.510457264349699 | 0.979085471300602 | 0.489542735650301 |
| 45 | 0.836585974399956 | 0.326828051200088 | 0.163414025600044 |
| 46 | 0.91321926181324 | 0.173561476373521 | 0.0867807381867603 |
| 47 | 0.927422972461033 | 0.145154055077933 | 0.0725770275389666 |
| 48 | 0.932290419110847 | 0.135419161778305 | 0.0677095808891525 |
| 49 | 0.94958109651814 | 0.100837806963719 | 0.0504189034818597 |
| 50 | 0.957413705728958 | 0.0851725885420837 | 0.0425862942710418 |
| 51 | 0.951823327196537 | 0.0963533456069268 | 0.0481766728034634 |
| 52 | 0.945237864170957 | 0.109524271658086 | 0.0547621358290432 |
| 53 | 0.939908600422248 | 0.120182799155504 | 0.0600913995777521 |
| 54 | 0.964711917351541 | 0.0705761652969175 | 0.0352880826484588 |
| 55 | 0.957799025333656 | 0.0844019493326885 | 0.0422009746663442 |
| 56 | 0.974375434053107 | 0.0512491318937856 | 0.0256245659468928 |
| 57 | 0.97049070544024 | 0.0590185891195197 | 0.0295092945597599 |
| 58 | 0.964190621924762 | 0.071618756150475 | 0.0358093780752375 |
| 59 | 0.959398879485293 | 0.081202241029414 | 0.040601120514707 |
| 60 | 0.955349686728394 | 0.0893006265432116 | 0.0446503132716058 |
| 61 | 0.950395200691818 | 0.099209598616364 | 0.049604799308182 |
| 62 | 0.936318247767871 | 0.127363504464258 | 0.0636817522321288 |
| 63 | 0.91155854186784 | 0.176882916264320 | 0.0884414581321601 |
| 64 | 0.869254621834917 | 0.261490756330165 | 0.130745378165083 |
| 65 | 0.924968201344993 | 0.150063597310013 | 0.0750317986550066 |
| 66 | 0.98471615300073 | 0.0305676939985379 | 0.0152838469992690 |
| 67 | 0.951552258192939 | 0.0968954836141228 | 0.0484477418070614 |
| Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
| Description | # significant tests | % significant tests | OK/NOK |
| 1% type I error level | 1 | 0.0158730158730159 | NOK |
| 5% type I error level | 3 | 0.0476190476190476 | OK |
| 10% type I error level | 15 | 0.238095238095238 | NOK |
