| Multiple Linear Regression - Estimated Regression Equation |
| fdb120[t] = + 0.715095705119632 + 0.0100774363911148blog[t] + 3.71089560381921reviews[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) | 0.715095705119632 | 2.520126 | 0.2838 | 0.777314 | 0.388657 |
| blog | 0.0100774363911148 | 0.027821 | 0.3622 | 0.718118 | 0.359059 |
| reviews | 3.71089560381921 | 0.113546 | 32.6818 | 0 | 0 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.981571240955586 |
| R-squared | 0.963482101071089 |
| Adjusted R-squared | 0.962591420609409 |
| F-TEST (value) | 1081.7371016009 |
| F-TEST (DF numerator) | 2 |
| F-TEST (DF denominator) | 82 |
| p-value | 0 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 6.2874555929212 |
| Sum Squared Residuals | 3241.6320223024 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 115 | 112.838081294594 | 2.16191870540591 |
| 2 | 116 | 113.130326949936 | 2.86967305006376 |
| 3 | 100 | 97.6317111692369 | 2.36828883076308 |
| 4 | 140 | 142.515168688756 | -2.51516868875642 |
| 5 | 166 | 164.861161802801 | 1.13883819719943 |
| 6 | 99 | 112.485371020905 | -13.4853710209049 |
| 7 | 139 | 150.198973242564 | -11.1989732425638 |
| 8 | 181 | 176.719424034418 | 4.28057596558153 |
| 9 | 116 | 113.06986233159 | 2.93013766841046 |
| 10 | 116 | 116.528822025631 | -0.52882202563087 |
| 11 | 108 | 112.848158730985 | -4.84815873098501 |
| 12 | 129 | 128.12507091108 | 0.874929088920228 |
| 13 | 118 | 116.488512280066 | 1.51148771993359 |
| 14 | 125 | 124.23278145222 | 0.767218547779501 |
| 15 | 127 | 124.252936325003 | 2.74706367499727 |
| 16 | 136 | 135.153842099465 | 0.846157900535299 |
| 17 | 46 | 53.0001895594953 | -7.00018955949533 |
| 18 | 54 | 64.223573298473 | -10.223573298473 |
| 19 | 124 | 120.431188920881 | 3.56881107911874 |
| 20 | 115 | 113.110172077154 | 1.889827922846 |
| 21 | 128 | 131.160778276694 | -3.16077827669428 |
| 22 | 97 | 105.214741359133 | -8.21474135913319 |
| 23 | 125 | 127.651431400697 | -2.65143140069737 |
| 24 | 149 | 146.35707096566 | 2.64292903433988 |
| 25 | 149 | 146.598929439047 | 2.40107056095312 |
| 26 | 108 | 109.096953381601 | -1.09695338160135 |
| 27 | 166 | 165.012323348667 | 0.98767665133271 |
| 28 | 80 | 79.5911824060878 | 0.408817593912229 |
| 29 | 107 | 105.54729676004 | 1.45270323996002 |
| 30 | 107 | 105.375980341391 | 1.62401965860898 |
| 31 | 146 | 143.019040508312 | 2.98095949168784 |
| 32 | 123 | 120.028091465237 | 2.97190853476334 |
| 33 | 111 | 108.744243107912 | 2.25575689208768 |
| 34 | 105 | 101.584465246443 | 3.4155347535571 |
| 35 | 155 | 149.926882460004 | 5.07311753999629 |
| 36 | 155 | 149.816030659701 | 5.18396934029855 |
| 37 | 104 | 105.315515723044 | -1.31551572304434 |
| 38 | 132 | 127.94367705604 | 4.0563229439603 |
| 39 | 127 | 124.343633252523 | 2.65636674747724 |
| 40 | 122 | 123.799451687403 | -1.79945168740256 |
| 41 | 87 | 131.604185477903 | -44.6041854779033 |
| 42 | 109 | 109.006256454081 | -0.00625645408131051 |
| 43 | 78 | 75.396569855495 | 2.60343014450495 |
| 44 | 141 | 139.378686959231 | 1.62131304076923 |
| 45 | 124 | 124.424252743652 | -0.424252743651684 |
| 46 | 112 | 108.915559526561 | 3.08444047343872 |
| 47 | 108 | 105.305438286653 | 2.69456171334678 |
| 48 | 78 | 79.0167685317942 | -1.01676853179422 |
| 49 | 158 | 153.799017046081 | 4.20098295391924 |
| 50 | 78 | 75.4973442194062 | 2.5026557805938 |
| 51 | 119 | 112.878391040158 | 6.12160895984165 |
| 52 | 88 | 82.949367736218 | 5.05063226378205 |
| 53 | 155 | 157.913010105545 | -2.91301010554456 |
| 54 | 123 | 120.531963284792 | 2.46803671520759 |
| 55 | 136 | 135.02283542638 | 0.977164573619793 |
| 56 | 117 | 116.921842044884 | 0.0781579551156475 |
| 57 | 124 | 124.162239397483 | -0.162239397482694 |
| 58 | 151 | 149.795875786919 | 1.20412421308078 |
| 59 | 145 | 142.051606614765 | 2.94839338523487 |
| 60 | 87 | 90.0285261065585 | -3.02852610655846 |
| 61 | 165 | 160.747168743337 | 4.25283125666323 |
| 62 | 120 | 116.387737916155 | 3.61226208384474 |
| 63 | 150 | 150.108276315044 | -0.108276315043783 |
| 64 | 136 | 139.156983358626 | -3.15698335862624 |
| 65 | 116 | 116.871454862929 | -0.871454862928778 |
| 66 | 150 | 146.649316621002 | 3.35068337899755 |
| 67 | 118 | 120.340491993361 | -2.34049199336122 |
| 68 | 71 | 67.7631524836432 | 3.23684751635678 |
| 69 | 144 | 146.760168421305 | -2.76016842130472 |
| 70 | 110 | 112.515603330078 | -2.51560333007822 |
| 71 | 147 | 139.116673613062 | 7.88332638693822 |
| 72 | 111 | 119.836620173805 | -8.83662017380548 |
| 73 | 68 | 63.9514825159129 | 4.04851748408713 |
| 74 | 48 | 45.7900245160703 | 2.20997548392967 |
| 75 | 51 | 49.1179775370272 | 1.88202246297284 |
| 76 | 68 | 64.0220245706507 | 3.97797542934933 |
| 77 | 64 | 64.1731861165174 | -0.173186116517394 |
| 78 | 76 | 75.2252534368461 | 0.774746563153908 |
| 79 | 66 | 64.3545799715575 | 1.64542002844253 |
| 80 | 68 | 63.8507081520017 | 4.14929184799828 |
| 81 | 66 | 63.8003209700461 | 2.19967902995386 |
| 82 | 83 | 82.6268897717023 | 0.373110228297724 |
| 83 | 55 | 56.751394908879 | -1.75139490887899 |
| 84 | 41 | 45.5380886062925 | -4.53808860629246 |
| 85 | 66 | 63.9716373886951 | 2.0283626113049 |
| Goldfeld-Quandt test for Heteroskedasticity | |||
| p-values | Alternative Hypothesis | ||
| breakpoint index | greater | 2-sided | less |
| 6 | 0.645930094163965 | 0.708139811672069 | 0.354069905836035 |
| 7 | 0.819457966105578 | 0.361084067788844 | 0.180542033894422 |
| 8 | 0.732858738419338 | 0.534282523161324 | 0.267141261580662 |
| 9 | 0.62182886631936 | 0.75634226736128 | 0.37817113368064 |
| 10 | 0.504444914192477 | 0.991110171615046 | 0.495555085807523 |
| 11 | 0.441753375335782 | 0.883506750671565 | 0.558246624664218 |
| 12 | 0.345138219138674 | 0.690276438277349 | 0.654861780861326 |
| 13 | 0.282791842270177 | 0.565583684540354 | 0.717208157729823 |
| 14 | 0.204103625698969 | 0.408207251397939 | 0.795896374301031 |
| 15 | 0.146590671728457 | 0.293181343456914 | 0.853409328271543 |
| 16 | 0.109087047620654 | 0.218174095241308 | 0.890912952379346 |
| 17 | 0.0985409629750342 | 0.197081925950068 | 0.901459037024966 |
| 18 | 0.115947974093611 | 0.231895948187223 | 0.884052025906389 |
| 19 | 0.0940571365411209 | 0.188114273082242 | 0.905942863458879 |
| 20 | 0.0640037505859204 | 0.128007501171841 | 0.93599624941408 |
| 21 | 0.0441230552506102 | 0.0882461105012203 | 0.95587694474939 |
| 22 | 0.0421208906310499 | 0.0842417812620997 | 0.95787910936895 |
| 23 | 0.0275642738412615 | 0.0551285476825229 | 0.972435726158739 |
| 24 | 0.0211149409425168 | 0.0422298818850337 | 0.978885059057483 |
| 25 | 0.0133179232523979 | 0.0266358465047957 | 0.986682076747602 |
| 26 | 0.00816001559266647 | 0.0163200311853329 | 0.991839984407334 |
| 27 | 0.00483752486242856 | 0.00967504972485713 | 0.995162475137571 |
| 28 | 0.00276229401786036 | 0.00552458803572073 | 0.99723770598214 |
| 29 | 0.0016276698897994 | 0.00325533977959879 | 0.998372330110201 |
| 30 | 0.00114603401845707 | 0.00229206803691413 | 0.998853965981543 |
| 31 | 0.000652706973334948 | 0.0013054139466699 | 0.999347293026665 |
| 32 | 0.000881254098507395 | 0.00176250819701479 | 0.999118745901493 |
| 33 | 0.00108324687193674 | 0.00216649374387348 | 0.998916753128063 |
| 34 | 0.000997528269209445 | 0.00199505653841889 | 0.999002471730791 |
| 35 | 0.00103942003027009 | 0.00207884006054018 | 0.99896057996973 |
| 36 | 0.00110291898558661 | 0.00220583797117322 | 0.998897081014413 |
| 37 | 0.000620108955324633 | 0.00124021791064927 | 0.999379891044675 |
| 38 | 0.000424176244363614 | 0.000848352488727229 | 0.999575823755636 |
| 39 | 0.000246848238495295 | 0.00049369647699059 | 0.999753151761505 |
| 40 | 0.000132453508228267 | 0.000264907016456535 | 0.999867546491772 |
| 41 | 0.999999994038757 | 1.1922485795825e-08 | 5.9612428979125e-09 |
| 42 | 0.999999985007282 | 2.99854357423523e-08 | 1.49927178711762e-08 |
| 43 | 0.999999969591181 | 6.08176373573039e-08 | 3.04088186786519e-08 |
| 44 | 0.999999924995181 | 1.50009637291386e-07 | 7.50048186456929e-08 |
| 45 | 0.999999817694512 | 3.64610975927265e-07 | 1.82305487963632e-07 |
| 46 | 0.999999650809307 | 6.98381386878386e-07 | 3.49190693439193e-07 |
| 47 | 0.99999929247647 | 1.41504705906159e-06 | 7.07523529530795e-07 |
| 48 | 0.999998558077565 | 2.88384487056893e-06 | 1.44192243528446e-06 |
| 49 | 0.9999978500406 | 4.29991880019283e-06 | 2.14995940009641e-06 |
| 50 | 0.999995713198752 | 8.57360249638809e-06 | 4.28680124819405e-06 |
| 51 | 0.999996826504518 | 6.3469909643171e-06 | 3.17349548215855e-06 |
| 52 | 0.999996617688494 | 6.76462301196843e-06 | 3.38231150598422e-06 |
| 53 | 0.999994282688295 | 1.14346234098056e-05 | 5.7173117049028e-06 |
| 54 | 0.999988955871509 | 2.20882569818111e-05 | 1.10441284909056e-05 |
| 55 | 0.999975118751074 | 4.97624978510148e-05 | 2.48812489255074e-05 |
| 56 | 0.999944759070657 | 0.000110481858685034 | 5.52409293425172e-05 |
| 57 | 0.999880994188793 | 0.000238011622414317 | 0.000119005811207158 |
| 58 | 0.99975307927569 | 0.000493841448620863 | 0.000246920724310431 |
| 59 | 0.999563666160536 | 0.000872667678928622 | 0.000436333839464311 |
| 60 | 0.999410392670995 | 0.00117921465801037 | 0.000589607329005187 |
| 61 | 0.999292380265296 | 0.00141523946940722 | 0.000707619734703609 |
| 62 | 0.999048707334415 | 0.00190258533117001 | 0.000951292665585003 |
| 63 | 0.9981432107123 | 0.00371357857539925 | 0.00185678928769963 |
| 64 | 0.99712323466738 | 0.00575353066523999 | 0.00287676533261999 |
| 65 | 0.994901199367605 | 0.0101976012647909 | 0.00509880063239545 |
| 66 | 0.992958781996129 | 0.0140824360077425 | 0.00704121800387127 |
| 67 | 0.988332276076094 | 0.0233354478478125 | 0.0116677239239062 |
| 68 | 0.981942735715103 | 0.0361145285697945 | 0.0180572642848973 |
| 69 | 0.976470074005024 | 0.0470598519899526 | 0.0235299259949763 |
| 70 | 0.964865415126978 | 0.070269169746044 | 0.035134584873022 |
| 71 | 0.996886104559391 | 0.00622779088121853 | 0.00311389544060927 |
| 72 | 0.999201491028865 | 0.00159701794226899 | 0.000798508971134496 |
| 73 | 0.998456200859163 | 0.00308759828167358 | 0.00154379914083679 |
| 74 | 0.998479224536876 | 0.00304155092624724 | 0.00152077546312362 |
| 75 | 0.996452513615777 | 0.00709497276844648 | 0.00354748638422324 |
| 76 | 0.995170050795132 | 0.00965989840973575 | 0.00482994920486788 |
| 77 | 0.98448079302232 | 0.0310384139553604 | 0.0155192069776802 |
| 78 | 0.957296981746165 | 0.0854060365076704 | 0.0427030182538352 |
| 79 | 0.971085763516004 | 0.0578284729679913 | 0.0289142364839956 |
| Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
| Description | # significant tests | % significant tests | OK/NOK |
| 1% type I error level | 44 | 0.594594594594595 | NOK |
| 5% type I error level | 53 | 0.716216216216216 | NOK |
| 10% type I error level | 59 | 0.797297297297297 | NOK |
