| Multiple Linear Regression - Estimated Regression Equation |
| characters[t] = + 1166.2650897564 -0.00648889081324887Time[t] + 917.520000256952shared[t] + 106.314742373003computations[t] + 507.508147020222reviewed[t] + 0.478644564577014seconds[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) | 1166.2650897564 | 3425.303568 | 0.3405 | 0.734009 | 0.367004 |
| Time | -0.00648889081324887 | 0.037855 | -0.1714 | 0.864148 | 0.432074 |
| shared | 917.520000256952 | 601.915004 | 1.5243 | 0.129714 | 0.064857 |
| computations | 106.314742373003 | 91.043325 | 1.1677 | 0.244926 | 0.122463 |
| reviewed | 507.508147020222 | 201.03243 | 2.5245 | 0.012718 | 0.006359 |
| seconds | 0.478644564577014 | 0.091009 | 5.2593 | 1e-06 | 0 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.785377814852539 |
| R-squared | 0.616818312062548 |
| Adjusted R-squared | 0.602934917572061 |
| F-TEST (value) | 44.4284942335378 |
| F-TEST (DF numerator) | 5 |
| F-TEST (DF denominator) | 138 |
| p-value | 0 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 15820.3069546461 |
| Sum Squared Residuals | 34538931475.213 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 20465 | 25853.1039234353 | -5388.10392343532 |
| 2 | 33629 | 57643.9096594543 | -24014.9096594543 |
| 3 | 1423 | 2042.75310760788 | -619.753107607877 |
| 4 | 25629 | 36825.2599208749 | -11196.2599208749 |
| 5 | 54002 | 58066.8552152024 | -4064.85521520245 |
| 6 | 151036 | 121485.82668989 | 29550.17331011 |
| 7 | 33287 | 48771.6599346191 | -15484.6599346191 |
| 8 | 31172 | 56639.325060428 | -25467.325060428 |
| 9 | 28113 | 39645.3883428365 | -11532.3883428365 |
| 10 | 57803 | 68963.9608074538 | -11160.9608074538 |
| 11 | 49830 | 40417.5556344037 | 9412.44436559631 |
| 12 | 52143 | 59848.1145498754 | -7705.11454987545 |
| 13 | 21055 | 31636.7473060371 | -10581.7473060371 |
| 14 | 47007 | 54315.0746778242 | -7308.07467782418 |
| 15 | 28735 | 40975.8402992423 | -12240.8402992423 |
| 16 | 59147 | 43784.2461520408 | 15362.7538479592 |
| 17 | 78950 | 56468.4262357406 | 22481.5737642594 |
| 18 | 13497 | 14614.8299027727 | -1117.82990277269 |
| 19 | 46154 | 48251.140420184 | -2097.14042018403 |
| 20 | 53249 | 17601.2015972758 | 35647.7984027242 |
| 21 | 10726 | 19615.2343828402 | -8889.23438284015 |
| 22 | 83700 | 71808.119724402 | 11891.880275598 |
| 23 | 40400 | 25083.3170552844 | 15316.6829447156 |
| 24 | 33797 | 40536.8717260855 | -6739.8717260855 |
| 25 | 36205 | 42630.5148206101 | -6425.51482061014 |
| 26 | 30165 | 36411.3482561673 | -6246.34825616727 |
| 27 | 58534 | 47293.7400887303 | 11240.2599112697 |
| 28 | 44663 | 72916.4693770729 | -28253.4693770729 |
| 29 | 92556 | 77512.3350745988 | 15043.6649254012 |
| 30 | 40078 | 53683.0438225009 | -13605.0438225009 |
| 31 | 34711 | 41138.0418085718 | -6427.0418085718 |
| 32 | 31076 | 50924.5659714446 | -19848.5659714446 |
| 33 | 74608 | 36694.1589347519 | 37913.8410652481 |
| 34 | 58092 | 34200.0964840204 | 23891.9035159796 |
| 35 | 42009 | 64741.1577332815 | -22732.1577332815 |
| 36 | 0 | 1166.26508975641 | -1166.26508975641 |
| 37 | 36022 | 37968.2841911292 | -1946.28419112917 |
| 38 | 23333 | 30355.285683639 | -7022.285683639 |
| 39 | 53349 | 49306.5818028024 | 4042.41819719758 |
| 40 | 92596 | 89034.5020284323 | 3561.49797156773 |
| 41 | 49598 | 53814.2041291988 | -4216.2041291988 |
| 42 | 44093 | 40760.2673103024 | 3332.73268969765 |
| 43 | 84205 | 38506.1726947601 | 45698.8273052399 |
| 44 | 63369 | 47351.6191136423 | 16017.3808863577 |
| 45 | 60132 | 39959.8475164248 | 20172.1524835752 |
| 46 | 37403 | 43284.1942627637 | -5881.19426276365 |
| 47 | 24460 | 40117.9337381244 | -15657.9337381244 |
| 48 | 46456 | 43048.4624468272 | 3407.5375531728 |
| 49 | 66616 | 60850.2329183918 | 5765.76708160819 |
| 50 | 41554 | 48692.956108224 | -7138.95610822402 |
| 51 | 22346 | 20384.2178526832 | 1961.78214731678 |
| 52 | 30874 | 38081.2146938761 | -7207.21469387606 |
| 53 | 68701 | 70001.6910152226 | -1300.69101522257 |
| 54 | 35728 | 46909.2352800149 | -11181.2352800148 |
| 55 | 29010 | 54819.0721562547 | -25809.0721562547 |
| 56 | 23110 | 43916.7766686643 | -20806.7766686643 |
| 57 | 38844 | 42865.7372917646 | -4021.73729176457 |
| 58 | 27084 | 30210.7365737134 | -3126.7365737134 |
| 59 | 35139 | 47721.3041101982 | -12582.3041101982 |
| 60 | 57476 | 44257.9837264467 | 13218.0162735533 |
| 61 | 33277 | 47258.6693163638 | -13981.6693163638 |
| 62 | 31141 | 34395.9403588021 | -3254.94035880211 |
| 63 | 61281 | 47585.4713565216 | 13695.5286434784 |
| 64 | 25820 | 45763.3389573646 | -19943.3389573646 |
| 65 | 23284 | 36210.8558277273 | -12926.8558277273 |
| 66 | 35378 | 44730.4785499299 | -9352.47854992987 |
| 67 | 74990 | 85869.4035668858 | -10879.4035668858 |
| 68 | 29653 | 49678.2175702213 | -20025.2175702213 |
| 69 | 64622 | 44716.7548613414 | 19905.2451386586 |
| 70 | 4157 | 14112.8959873352 | -9955.89598733516 |
| 71 | 29245 | 46131.0006565447 | -16886.0006565447 |
| 72 | 50008 | 34414.7187384851 | 15593.2812615149 |
| 73 | 52338 | 43477.0392010871 | 8860.96079891286 |
| 74 | 13310 | 24189.7269632655 | -10879.7269632655 |
| 75 | 92901 | 52025.4840009694 | 40875.5159990306 |
| 76 | 10956 | 26202.5559693701 | -15246.5559693701 |
| 77 | 34241 | 50994.1326278112 | -16753.1326278112 |
| 78 | 75043 | 64465.8284052151 | 10577.1715947849 |
| 79 | 21152 | 23920.7771476064 | -2768.7771476064 |
| 80 | 42249 | 34076.1436224552 | 8172.85637754477 |
| 81 | 42005 | 36492.2523346354 | 5512.74766536458 |
| 82 | 41152 | 46797.8850294499 | -5645.88502944992 |
| 83 | 14399 | 30351.7001592692 | -15952.7001592692 |
| 84 | 28263 | 37639.1416003224 | -9376.14160032244 |
| 85 | 17215 | 21505.0430756496 | -4290.04307564958 |
| 86 | 48140 | 41197.8477019176 | 6942.1522980824 |
| 87 | 62897 | 60551.1688052694 | 2345.83119473059 |
| 88 | 22883 | 31475.3404220757 | -8592.34042207571 |
| 89 | 41622 | 36117.7494492495 | 5504.25055075051 |
| 90 | 40715 | 39827.8248324344 | 887.17516756564 |
| 91 | 65897 | 53600.6977178346 | 12296.3022821654 |
| 92 | 76542 | 53618.4163465927 | 22923.5836534073 |
| 93 | 37477 | 43589.4980955156 | -6112.49809551555 |
| 94 | 53216 | 30994.1698038659 | 22221.8301961341 |
| 95 | 40911 | 22513.6672179107 | 18397.3327820893 |
| 96 | 57021 | 66570.5895779815 | -9549.58957798155 |
| 97 | 73116 | 51708.7578282946 | 21407.2421717054 |
| 98 | 3895 | 7527.21373747775 | -3632.21373747775 |
| 99 | 46609 | 40267.2720366539 | 6341.72796334606 |
| 100 | 29351 | 42873.7855980768 | -13522.7855980768 |
| 101 | 2325 | 7010.30639416288 | -4685.30639416288 |
| 102 | 31747 | 31593.5260480394 | 153.473951960606 |
| 103 | 32665 | 30127.9602205591 | 2537.03977944093 |
| 104 | 19249 | 32489.5931344913 | -13240.5931344913 |
| 105 | 15292 | 23245.5744877219 | -7953.57448772192 |
| 106 | 5842 | 10440.4239549179 | -4598.42395491785 |
| 107 | 33994 | 48991.1086434214 | -14997.1086434214 |
| 108 | 13018 | 19639.3892001972 | -6621.38920019722 |
| 109 | 0 | 1166.26508975641 | -1166.26508975641 |
| 110 | 98177 | 35085.4485664736 | 63091.5514335264 |
| 111 | 37941 | 23165.2034397584 | 14775.7965602416 |
| 112 | 31032 | 41660.4142512488 | -10628.4142512488 |
| 113 | 32683 | 36089.6903861584 | -3406.6903861584 |
| 114 | 34545 | 28088.2665569934 | 6456.73344300658 |
| 115 | 0 | 1142.8012605757 | -1142.8012605757 |
| 116 | 0 | 1166.26508975641 | -1166.26508975641 |
| 117 | 27525 | 45111.5019890328 | -17586.5019890328 |
| 118 | 66856 | 54612.2411095714 | 12243.7588904286 |
| 119 | 28549 | 36844.5372104102 | -8295.53721041018 |
| 120 | 38610 | 33723.4428220172 | 4886.55717798276 |
| 121 | 2781 | 2142.51606252402 | 638.483937475984 |
| 122 | 41211 | 53041.2352510651 | -11830.2352510651 |
| 123 | 22698 | 27869.6561212919 | -5171.65612129189 |
| 124 | 41194 | 40222.2459822271 | 971.754017772906 |
| 125 | 32689 | 12368.7635762326 | 20320.2364237674 |
| 126 | 5752 | 8785.2069623068 | -3033.2069623068 |
| 127 | 26757 | 43880.1654503767 | -17123.1654503767 |
| 128 | 22527 | 32430.6082475173 | -9903.6082475173 |
| 129 | 44810 | 38475.0666468714 | 6334.93335312864 |
| 130 | 0 | 2211.05317013677 | -2211.05317013677 |
| 131 | 0 | 1097.00266921579 | -1097.00266921579 |
| 132 | 100674 | 37488.8680073613 | 63185.1319926387 |
| 133 | 0 | 1629.41517917726 | -1629.41517917726 |
| 134 | 57786 | 44266.7128027193 | 13519.2871972807 |
| 135 | 0 | 1664.62865843921 | -1664.62865843921 |
| 136 | 5444 | 7580.78186186364 | -2136.78186186364 |
| 137 | 0 | 1166.26508975641 | -1166.26508975641 |
| 138 | 28470 | 30380.032939656 | -1910.03293965597 |
| 139 | 61849 | 38779.5751773986 | 23069.4248226014 |
| 140 | 0 | 2037.51280962408 | -2037.51280962408 |
| 141 | 2179 | 3777.0034209074 | -1598.0034209074 |
| 142 | 8019 | 17082.2514788033 | -9063.25147880333 |
| 143 | 39644 | 42692.1386032035 | -3048.13860320347 |
| 144 | 23494 | 35216.865819462 | -11722.865819462 |
| Goldfeld-Quandt test for Heteroskedasticity | |||
| p-values | Alternative Hypothesis | ||
| breakpoint index | greater | 2-sided | less |
| 9 | 0.204162750533355 | 0.40832550106671 | 0.795837249466645 |
| 10 | 0.218986678066396 | 0.437973356132792 | 0.781013321933604 |
| 11 | 0.605159154511163 | 0.789681690977673 | 0.394840845488837 |
| 12 | 0.540581882842483 | 0.918836234315035 | 0.459418117157517 |
| 13 | 0.435743168657356 | 0.871486337314712 | 0.564256831342644 |
| 14 | 0.385308027045175 | 0.770616054090349 | 0.614691972954825 |
| 15 | 0.315282611648695 | 0.630565223297391 | 0.684717388351304 |
| 16 | 0.415159657111045 | 0.830319314222089 | 0.584840342888955 |
| 17 | 0.668708018127018 | 0.662583963745965 | 0.331291981872982 |
| 18 | 0.600035525395765 | 0.799928949208471 | 0.399964474604235 |
| 19 | 0.519902307937086 | 0.960195384125827 | 0.480097692062914 |
| 20 | 0.803965089115603 | 0.392069821768794 | 0.196034910884397 |
| 21 | 0.755457942414444 | 0.489084115171112 | 0.244542057585556 |
| 22 | 0.739708887695568 | 0.520582224608864 | 0.260291112304432 |
| 23 | 0.757590276363984 | 0.484819447272033 | 0.242409723636016 |
| 24 | 0.713066114563554 | 0.573867770872891 | 0.286933885436446 |
| 25 | 0.657108000426218 | 0.685783999147565 | 0.342891999573782 |
| 26 | 0.595590754458218 | 0.808818491083564 | 0.404409245541782 |
| 27 | 0.562808089992457 | 0.874383820015087 | 0.437191910007543 |
| 28 | 0.676293024547802 | 0.647413950904395 | 0.323706975452198 |
| 29 | 0.630775881388109 | 0.738448237223781 | 0.369224118611891 |
| 30 | 0.604155382237299 | 0.791689235525402 | 0.395844617762701 |
| 31 | 0.551980608964419 | 0.896038782071162 | 0.448019391035581 |
| 32 | 0.555295408043938 | 0.889409183912124 | 0.444704591956062 |
| 33 | 0.824092131114906 | 0.351815737770188 | 0.175907868885094 |
| 34 | 0.839817930532597 | 0.320364138934805 | 0.160182069467403 |
| 35 | 0.854113822622379 | 0.291772354755242 | 0.145886177377621 |
| 36 | 0.821568132742524 | 0.356863734514951 | 0.178431867257476 |
| 37 | 0.79181561630165 | 0.4163687673967 | 0.20818438369835 |
| 38 | 0.755334799720339 | 0.489330400559323 | 0.244665200279661 |
| 39 | 0.710091046650176 | 0.579817906699648 | 0.289908953349824 |
| 40 | 0.689692025694089 | 0.620615948611822 | 0.310307974305911 |
| 41 | 0.64523933883735 | 0.7095213223253 | 0.35476066116265 |
| 42 | 0.594503499717224 | 0.810993000565551 | 0.405496500282776 |
| 43 | 0.882996647371031 | 0.234006705257937 | 0.117003352628969 |
| 44 | 0.881581343618376 | 0.236837312763248 | 0.118418656381624 |
| 45 | 0.894829983612522 | 0.210340032774957 | 0.105170016387479 |
| 46 | 0.874330344854926 | 0.251339310290147 | 0.125669655145074 |
| 47 | 0.877115364886913 | 0.245769270226174 | 0.122884635113087 |
| 48 | 0.850305283787395 | 0.29938943242521 | 0.149694716212605 |
| 49 | 0.820746203712549 | 0.358507592574901 | 0.179253796287451 |
| 50 | 0.796992239669611 | 0.406015520660778 | 0.203007760330389 |
| 51 | 0.758778981741567 | 0.482442036516865 | 0.241221018258433 |
| 52 | 0.72083771297293 | 0.558324574054139 | 0.27916228702707 |
| 53 | 0.677109308653619 | 0.645781382692763 | 0.322890691346381 |
| 54 | 0.662046486565616 | 0.675907026868767 | 0.337953513434384 |
| 55 | 0.72914995231099 | 0.541700095378021 | 0.27085004768901 |
| 56 | 0.759164507991739 | 0.481670984016521 | 0.240835492008261 |
| 57 | 0.722463399422093 | 0.555073201155814 | 0.277536600577907 |
| 58 | 0.680204877481912 | 0.639590245036176 | 0.319795122518088 |
| 59 | 0.659913584734557 | 0.680172830530885 | 0.340086415265443 |
| 60 | 0.650556532842778 | 0.698886934314445 | 0.349443467157222 |
| 61 | 0.635858956527095 | 0.728282086945809 | 0.364141043472904 |
| 62 | 0.589926508720983 | 0.820146982558035 | 0.410073491279017 |
| 63 | 0.586153837726562 | 0.827692324546875 | 0.413846162273438 |
| 64 | 0.606453227118974 | 0.787093545762052 | 0.393546772881026 |
| 65 | 0.592379827560112 | 0.815240344879777 | 0.407620172439888 |
| 66 | 0.562459026604012 | 0.875081946791975 | 0.437540973395987 |
| 67 | 0.564303316852543 | 0.871393366294914 | 0.435696683147457 |
| 68 | 0.605716365369008 | 0.788567269261984 | 0.394283634630992 |
| 69 | 0.63955505552245 | 0.7208898889551 | 0.36044494447755 |
| 70 | 0.605864994640262 | 0.788270010719475 | 0.394135005359738 |
| 71 | 0.619963827488867 | 0.760072345022265 | 0.380036172511132 |
| 72 | 0.613375391223267 | 0.773249217553467 | 0.386624608776733 |
| 73 | 0.584043492298847 | 0.831913015402306 | 0.415956507701153 |
| 74 | 0.552449511281897 | 0.895100977436207 | 0.447550488718103 |
| 75 | 0.788724322309244 | 0.422551355381512 | 0.211275677690756 |
| 76 | 0.778129631247889 | 0.443740737504222 | 0.221870368752111 |
| 77 | 0.792492220128697 | 0.415015559742606 | 0.207507779871303 |
| 78 | 0.769791646745263 | 0.460416706509474 | 0.230208353254737 |
| 79 | 0.730652487785676 | 0.538695024428648 | 0.269347512214324 |
| 80 | 0.700547405777595 | 0.59890518844481 | 0.299452594222405 |
| 81 | 0.660827853156712 | 0.678344293686577 | 0.339172146843288 |
| 82 | 0.618785755836055 | 0.76242848832789 | 0.381214244163945 |
| 83 | 0.628954567760437 | 0.742090864479125 | 0.371045432239562 |
| 84 | 0.601074113880737 | 0.797851772238525 | 0.398925886119263 |
| 85 | 0.554133919147811 | 0.891732161704377 | 0.445866080852189 |
| 86 | 0.513825843357659 | 0.972348313284681 | 0.486174156642341 |
| 87 | 0.463727333431256 | 0.927454666862513 | 0.536272666568744 |
| 88 | 0.431288486040036 | 0.862576972080072 | 0.568711513959964 |
| 89 | 0.385231709970372 | 0.770463419940744 | 0.614768290029628 |
| 90 | 0.337946525305054 | 0.675893050610107 | 0.662053474694946 |
| 91 | 0.306445943006321 | 0.612891886012643 | 0.693554056993679 |
| 92 | 0.327574437964592 | 0.655148875929185 | 0.672425562035407 |
| 93 | 0.291577736926584 | 0.583155473853168 | 0.708422263073416 |
| 94 | 0.338090950417836 | 0.676181900835672 | 0.661909049582164 |
| 95 | 0.341982164235666 | 0.683964328471332 | 0.658017835764334 |
| 96 | 0.313501760947117 | 0.627003521894234 | 0.686498239052883 |
| 97 | 0.343443169263152 | 0.686886338526305 | 0.656556830736848 |
| 98 | 0.298483890107317 | 0.596967780214635 | 0.701516109892683 |
| 99 | 0.286308632752873 | 0.572617265505746 | 0.713691367247127 |
| 100 | 0.278761944922882 | 0.557523889845764 | 0.721238055077118 |
| 101 | 0.236495682307189 | 0.472991364614379 | 0.763504317692811 |
| 102 | 0.198348936580377 | 0.396697873160754 | 0.801651063419623 |
| 103 | 0.165465812528242 | 0.330931625056485 | 0.834534187471758 |
| 104 | 0.160893580360308 | 0.321787160720616 | 0.839106419639692 |
| 105 | 0.134426357983229 | 0.268852715966459 | 0.865573642016771 |
| 106 | 0.116742477276603 | 0.233484954553205 | 0.883257522723397 |
| 107 | 0.130833696304562 | 0.261667392609124 | 0.869166303695438 |
| 108 | 0.104296635534353 | 0.208593271068707 | 0.895703364465647 |
| 109 | 0.0811706912799065 | 0.162341382559813 | 0.918829308720093 |
| 110 | 0.602535784340795 | 0.794928431318411 | 0.397464215659205 |
| 111 | 0.60781582816399 | 0.78436834367202 | 0.39218417183601 |
| 112 | 0.580647885858778 | 0.838704228282443 | 0.419352114141222 |
| 113 | 0.520022969590546 | 0.959954060818909 | 0.479977030409454 |
| 114 | 0.46175217044248 | 0.92350434088496 | 0.53824782955752 |
| 115 | 0.398646248424992 | 0.797292496849983 | 0.601353751575008 |
| 116 | 0.337810178719375 | 0.67562035743875 | 0.662189821280625 |
| 117 | 0.388692935479183 | 0.777385870958367 | 0.611307064520817 |
| 118 | 0.347156999111548 | 0.694313998223096 | 0.652843000888452 |
| 119 | 0.325566342534092 | 0.651132685068185 | 0.674433657465908 |
| 120 | 0.267816298820959 | 0.535632597641918 | 0.732183701179041 |
| 121 | 0.212262977106674 | 0.424525954213348 | 0.787737022893326 |
| 122 | 0.202830262471288 | 0.405660524942576 | 0.797169737528712 |
| 123 | 0.165072634942898 | 0.330145269885795 | 0.834927365057103 |
| 124 | 0.165651331585576 | 0.331302663171153 | 0.834348668414423 |
| 125 | 0.241406331937424 | 0.482812663874847 | 0.758593668062576 |
| 126 | 0.183212334959675 | 0.366424669919349 | 0.816787665040326 |
| 127 | 0.477349556518637 | 0.954699113037273 | 0.522650443481363 |
| 128 | 0.429609904538154 | 0.859219809076309 | 0.570390095461845 |
| 129 | 0.344453066250865 | 0.68890613250173 | 0.655546933749135 |
| 130 | 0.257099931749065 | 0.514199863498131 | 0.742900068250935 |
| 131 | 0.184988504754479 | 0.369977009508958 | 0.815011495245521 |
| 132 | 0.990111399465646 | 0.019777201068709 | 0.00988860053435451 |
| 133 | 0.974854548900069 | 0.0502909021998625 | 0.0251454510999313 |
| 134 | 0.935313379605363 | 0.129373240789275 | 0.0646866203946374 |
| 135 | 0.853113861787991 | 0.293772276424019 | 0.146886138212009 |
| 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 | 1 | 0.0078740157480315 | OK |
| 10% type I error level | 2 | 0.015748031496063 | OK |
