| Multiple Linear Regression - Estimated Regression Equation |
| TWG[t] = + 8.52999770283932 -0.117288081923750Infl[t] -0.136479017084508M1[t] + 0.587372677934864M2[t] + 0.694716430409092M3[t] + 0.595167523043634M4[t] + 0.36267624261792M5[t] + 0.205112649654338M6[t] + 0.368907246634373M7[t] + 0.665057776265042M8[t] + 0.693955198819427M9[t] + 0.513860535092991M10[t] + 0.242120662176955M11[t] -0.0194635209396826t + 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) | 8.52999770283932 | 0.238943 | 35.699 | 0 | 0 |
| Infl | -0.117288081923750 | 0.04568 | -2.5676 | 0.012795 | 0.006397 |
| M1 | -0.136479017084508 | 0.267113 | -0.5109 | 0.611299 | 0.305649 |
| M2 | 0.587372677934864 | 0.279226 | 2.1036 | 0.039688 | 0.019844 |
| M3 | 0.694716430409092 | 0.278557 | 2.494 | 0.015454 | 0.007727 |
| M4 | 0.595167523043634 | 0.278234 | 2.1391 | 0.036577 | 0.018289 |
| M5 | 0.36267624261792 | 0.277955 | 1.3048 | 0.197026 | 0.098513 |
| M6 | 0.205112649654338 | 0.277546 | 0.739 | 0.462824 | 0.231412 |
| M7 | 0.368907246634373 | 0.277295 | 1.3304 | 0.188513 | 0.094257 |
| M8 | 0.665057776265042 | 0.27709 | 2.4002 | 0.019562 | 0.009781 |
| M9 | 0.693955198819427 | 0.276944 | 2.5058 | 0.014998 | 0.007499 |
| M10 | 0.513860535092991 | 0.276898 | 1.8558 | 0.068482 | 0.034241 |
| M11 | 0.242120662176955 | 0.27683 | 0.8746 | 0.385328 | 0.192664 |
| t | -0.0194635209396826 | 0.002754 | -7.0665 | 0 | 0 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.782622929890878 |
| R-squared | 0.612498650390982 |
| Adjusted R-squared | 0.5271169970873 |
| F-TEST (value) | 7.17365647878089 |
| F-TEST (DF numerator) | 13 |
| F-TEST (DF denominator) | 59 |
| p-value | 4.03706177376506e-08 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 0.479455191625504 |
| Sum Squared Residuals | 13.5627595658223 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 7.6 | 8.1840484720987 | -0.584048472098692 |
| 2 | 8.3 | 8.90368409682844 | -0.603684096828439 |
| 3 | 8.4 | 8.95637790378586 | -0.556377903785859 |
| 4 | 8.4 | 8.83619259466148 | -0.43619259466148 |
| 5 | 8.4 | 8.61004117131931 | -0.210041171319309 |
| 6 | 8.4 | 8.4001733944774 | -0.000173394477395415 |
| 7 | 8.6 | 8.5585790403486 | 0.0414209596514014 |
| 8 | 8.9 | 8.85285926132815 | 0.0471407386718526 |
| 9 | 8.8 | 8.90099822997769 | -0.100998229977687 |
| 10 | 8.3 | 8.71668749596166 | -0.416687495961655 |
| 11 | 7.5 | 8.33282651738617 | -0.832826517386174 |
| 12 | 7.2 | 7.99031355774215 | -0.790313557742149 |
| 13 | 7.4 | 7.87542184839127 | -0.475421848391271 |
| 14 | 8.8 | 8.5622168101824 | 0.237783189817603 |
| 15 | 9.3 | 8.6676902540055 | 0.632309745994494 |
| 16 | 9.3 | 8.57565408454283 | 0.724345915457173 |
| 17 | 8.7 | 8.22635017518072 | 0.47364982481928 |
| 18 | 8.2 | 8.08568236667382 | 0.114317633326182 |
| 19 | 8.3 | 8.26285410565282 | 0.0371458943471811 |
| 20 | 8.5 | 8.54071399516304 | -0.0407139951630443 |
| 21 | 8.6 | 8.51378859138138 | 0.0862114086186157 |
| 22 | 8.5 | 8.25558636575339 | 0.24441363424661 |
| 23 | 8.2 | 8.00074227729403 | 0.199257722705965 |
| 24 | 8.1 | 7.76848011465833 | 0.331519885341665 |
| 25 | 7.9 | 7.5703138671416 | 0.329686132858406 |
| 26 | 8.6 | 8.24303425910187 | 0.356965740898129 |
| 27 | 8.7 | 8.33443313309413 | 0.365566866905871 |
| 28 | 8.7 | 8.2095563006928 | 0.4904436993072 |
| 29 | 8.5 | 8.0385302758548 | 0.461469724145209 |
| 30 | 8.4 | 7.84977435375915 | 0.550225646240849 |
| 31 | 8.5 | 7.9565732435839 | 0.543426756416096 |
| 32 | 8.7 | 8.26375515357507 | 0.436244846424933 |
| 33 | 8.7 | 8.3025110756707 | 0.397488924329294 |
| 34 | 8.6 | 8.18388166753197 | 0.416118332468025 |
| 35 | 8.5 | 7.86101049155684 | 0.638989508443157 |
| 36 | 8.3 | 7.57245004959774 | 0.727549950402257 |
| 37 | 8 | 7.45403969778915 | 0.545960302210847 |
| 38 | 8.2 | 8.19009565398826 | 0.00990434601174413 |
| 39 | 8.1 | 8.27445724306509 | -0.174457243065089 |
| 40 | 8.1 | 8.20353292834868 | -0.103532928348685 |
| 41 | 8 | 7.95275100780253 | 0.0472489921974741 |
| 42 | 7.9 | 7.74288323096061 | 0.157116769039389 |
| 43 | 7.9 | 7.8696210947124 | 0.0303789052875994 |
| 44 | 8 | 8.14396234176491 | -0.143962341764913 |
| 45 | 8 | 8.140494554368 | -0.140494554368002 |
| 46 | 7.9 | 7.9350719656057 | -0.0350719656056964 |
| 47 | 8 | 7.64856009502693 | 0.351439904973072 |
| 48 | 7.7 | 7.44561995287216 | 0.254380047127835 |
| 49 | 7.2 | 7.28850453402874 | -0.088504534028738 |
| 50 | 7.5 | 7.98350966155453 | -0.483509661554527 |
| 51 | 7.3 | 8.10071191357001 | -0.80071191357001 |
| 52 | 7 | 7.9359571333146 | -0.935957133314606 |
| 53 | 7 | 7.59838203214487 | -0.598382032144872 |
| 54 | 7 | 7.33925326089498 | -0.339253260894983 |
| 55 | 7.2 | 7.46599112464677 | -0.265991124646772 |
| 56 | 7.3 | 7.69928154302597 | -0.399281543025972 |
| 57 | 7.1 | 7.6876035898944 | -0.587603589894399 |
| 58 | 6.8 | 7.40007934378547 | -0.600079343785468 |
| 59 | 6.4 | 7.13702508959145 | -0.737025089591448 |
| 60 | 6.1 | 6.75111553963564 | -0.651115539635636 |
| 61 | 6.5 | 6.52597303327643 | -0.0259730332764336 |
| 62 | 7.7 | 7.21745951834451 | 0.48254048165549 |
| 63 | 7.9 | 7.3663295524794 | 0.533670447520595 |
| 64 | 7.5 | 7.2391069584396 | 0.260893041560398 |
| 65 | 6.9 | 7.07394533769778 | -0.173945337697781 |
| 66 | 6.6 | 7.08223339323404 | -0.482233393234042 |
| 67 | 6.9 | 7.28638139105551 | -0.386381391055506 |
| 68 | 7.7 | 7.59942770514286 | 0.100572294857144 |
| 69 | 8 | 7.65460395870782 | 0.345396041292179 |
| 70 | 8 | 7.60869316136182 | 0.391306838638184 |
| 71 | 7.7 | 7.31983552914457 | 0.380164470855429 |
| 72 | 7.3 | 7.17202078549397 | 0.127979214506028 |
| 73 | 7.4 | 7.10169854727412 | 0.29830145272588 |
| Goldfeld-Quandt test for Heteroskedasticity | |||
| p-values | Alternative Hypothesis | ||
| breakpoint index | greater | 2-sided | less |
| 17 | 0.389210429947418 | 0.778420859894836 | 0.610789570052582 |
| 18 | 0.416114410039407 | 0.832228820078814 | 0.583885589960593 |
| 19 | 0.455417944660807 | 0.910835889321614 | 0.544582055339193 |
| 20 | 0.458958025120436 | 0.917916050240872 | 0.541041974879564 |
| 21 | 0.343444557149994 | 0.686889114299987 | 0.656555442850006 |
| 22 | 0.273875223525977 | 0.547750447051955 | 0.726124776474023 |
| 23 | 0.250650859922854 | 0.501301719845708 | 0.749349140077146 |
| 24 | 0.207895045055858 | 0.415790090111716 | 0.792104954944142 |
| 25 | 0.142247606151174 | 0.284495212302349 | 0.857752393848826 |
| 26 | 0.105102353247342 | 0.210204706494684 | 0.894897646752658 |
| 27 | 0.0953886804972445 | 0.190777360994489 | 0.904611319502755 |
| 28 | 0.0798676610741896 | 0.159735322148379 | 0.92013233892581 |
| 29 | 0.0761720288366044 | 0.152344057673209 | 0.923827971163396 |
| 30 | 0.0579548999899335 | 0.115909799979867 | 0.942045100010066 |
| 31 | 0.0433000297727027 | 0.0866000595454055 | 0.956699970227297 |
| 32 | 0.0310398827872249 | 0.0620797655744498 | 0.968960117212775 |
| 33 | 0.0218545106180138 | 0.0437090212360276 | 0.978145489381986 |
| 34 | 0.0141373613478166 | 0.0282747226956333 | 0.985862638652183 |
| 35 | 0.0131828776767946 | 0.0263657553535891 | 0.986817122323205 |
| 36 | 0.015670040503764 | 0.031340081007528 | 0.984329959496236 |
| 37 | 0.0130298146330508 | 0.0260596292661016 | 0.98697018536695 |
| 38 | 0.0250053737687665 | 0.0500107475375331 | 0.974994626231233 |
| 39 | 0.0477283503929432 | 0.0954567007858864 | 0.952271649607057 |
| 40 | 0.0550336912314372 | 0.110067382462874 | 0.944966308768563 |
| 41 | 0.051164554007169 | 0.102329108014338 | 0.94883544599283 |
| 42 | 0.0547731596407504 | 0.109546319281501 | 0.94522684035925 |
| 43 | 0.0565318056264276 | 0.113063611252855 | 0.943468194373572 |
| 44 | 0.0511964912411387 | 0.102392982482277 | 0.948803508758861 |
| 45 | 0.0460379280575132 | 0.0920758561150264 | 0.953962071942487 |
| 46 | 0.0410525450118022 | 0.0821050900236045 | 0.958947454988198 |
| 47 | 0.0821667478052984 | 0.164333495610597 | 0.917833252194702 |
| 48 | 0.303182805388224 | 0.606365610776447 | 0.696817194611776 |
| 49 | 0.416622646646737 | 0.833245293293474 | 0.583377353353263 |
| 50 | 0.370407583361267 | 0.740815166722535 | 0.629592416638733 |
| 51 | 0.473242528185883 | 0.946485056371767 | 0.526757471814117 |
| 52 | 0.72390836117356 | 0.552183277652882 | 0.276091638826441 |
| 53 | 0.70568689685793 | 0.588626206284142 | 0.294313103142071 |
| 54 | 0.728994269793404 | 0.542011460413192 | 0.271005730206596 |
| 55 | 0.902100167151633 | 0.195799665696733 | 0.0978998328483667 |
| 56 | 0.953882569380055 | 0.0922348612398902 | 0.0461174306199451 |
| 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 | 5 | 0.125 | NOK |
| 10% type I error level | 12 | 0.3 | NOK |
