| Multiple Linear Regression - Estimated Regression Equation |
| V[t] = + 8.04448757982342 -0.204209517306581X[t] + 0.0172453656247194t + 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) | 8.04448757982342 | 0.148194 | 54.2836 | 0 | 0 |
| X | -0.204209517306581 | 0.364159 | -0.5608 | 0.576347 | 0.288174 |
| t | 0.0172453656247194 | 0.002752 | 6.2662 | 0 | 0 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.551177817171045 |
| R-squared | 0.303796986141438 |
| Adjusted R-squared | 0.288325808055692 |
| F-TEST (value) | 19.6363188671027 |
| F-TEST (DF numerator) | 2 |
| F-TEST (DF denominator) | 90 |
| p-value | 8.37751965576672e-08 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 0.708717818440588 |
| Sum Squared Residuals | 45.2052851557668 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 8.7 | 8.06173294544816 | 0.638267054551841 |
| 2 | 8.5 | 8.07897831107286 | 0.421021688927143 |
| 3 | 8.2 | 8.09622367669758 | 0.103776323302422 |
| 4 | 8.3 | 8.1134690423223 | 0.186530957677706 |
| 5 | 8 | 8.13071440794701 | -0.130714407947014 |
| 6 | 8.1 | 8.14795977357173 | -0.0479597735717342 |
| 7 | 8.7 | 8.16520513919645 | 0.534794860803546 |
| 8 | 9.3 | 8.18245050482117 | 1.11754949517883 |
| 9 | 8.9 | 8.1996958704459 | 0.700304129554108 |
| 10 | 8.8 | 8.21694123607061 | 0.583058763929389 |
| 11 | 8.4 | 8.23418660169533 | 0.165813398304670 |
| 12 | 8.4 | 8.25143196732005 | 0.148568032679950 |
| 13 | 7.3 | 8.26867733294477 | -0.96867733294477 |
| 14 | 7.2 | 8.28592269856949 | -1.08592269856949 |
| 15 | 7 | 8.3031680641942 | -1.30316806419421 |
| 16 | 7 | 8.32041342981893 | -1.32041342981893 |
| 17 | 6.9 | 8.33765879544365 | -1.43765879544365 |
| 18 | 6.9 | 8.35490416106837 | -1.45490416106837 |
| 19 | 7.1 | 8.37214952669309 | -1.27214952669309 |
| 20 | 7.5 | 8.3893948923178 | -0.889394892317805 |
| 21 | 7.4 | 8.40664025794252 | -1.00664025794252 |
| 22 | 8.9 | 8.42388562356724 | 0.476114376432756 |
| 23 | 8.3 | 8.23692147188538 | 0.0630785281146183 |
| 24 | 8.3 | 8.45837635481668 | -0.158376354816682 |
| 25 | 9 | 8.4756217204414 | 0.524378279558598 |
| 26 | 8.9 | 8.49286708606612 | 0.407132913933879 |
| 27 | 8.8 | 8.51011245169084 | 0.289887548309160 |
| 28 | 7.8 | 8.52735781731556 | -0.727357817315561 |
| 29 | 7.8 | 8.54460318294028 | -0.74460318294028 |
| 30 | 7.8 | 8.561848548565 | -0.761848548565 |
| 31 | 9.2 | 8.57909391418972 | 0.620906085810281 |
| 32 | 9.3 | 8.59633927981444 | 0.703660720185562 |
| 33 | 9.2 | 8.61358464543916 | 0.586415354560842 |
| 34 | 8.6 | 8.63083001106388 | -0.0308300110638773 |
| 35 | 8.5 | 8.6480753766886 | -0.148075376688596 |
| 36 | 8.5 | 8.66532074231332 | -0.165320742313316 |
| 37 | 9 | 8.68256610793803 | 0.317433892061965 |
| 38 | 9 | 8.69981147356275 | 0.300188526437245 |
| 39 | 8.8 | 8.71705683918747 | 0.0829431608125268 |
| 40 | 8 | 8.7343022048122 | -0.734302204812193 |
| 41 | 7.9 | 8.75154757043691 | -0.851547570436913 |
| 42 | 8.1 | 8.76879293606163 | -0.668792936061633 |
| 43 | 9.3 | 8.78603830168635 | 0.513961698313649 |
| 44 | 9.4 | 8.80328366731107 | 0.59671633268893 |
| 45 | 9.4 | 8.82052903293579 | 0.57947096706421 |
| 46 | 9.3 | 8.63356488125393 | 0.666435118746072 |
| 47 | 9 | 8.85501976418523 | 0.144980235814771 |
| 48 | 9.1 | 8.87226512980995 | 0.227734870190051 |
| 49 | 9.7 | 8.88951049543467 | 0.810489504565331 |
| 50 | 9.7 | 8.90675586105939 | 0.793244138940612 |
| 51 | 9.6 | 8.9240012266841 | 0.675998773315893 |
| 52 | 8.3 | 8.94124659230883 | -0.641246592308826 |
| 53 | 8.2 | 8.95849195793355 | -0.758491957933546 |
| 54 | 8.4 | 8.97573732355827 | -0.575737323558265 |
| 55 | 10.6 | 8.99298268918298 | 1.60701731081702 |
| 56 | 10.9 | 9.0102280548077 | 1.88977194519230 |
| 57 | 10.9 | 9.02747342043242 | 1.87252657956758 |
| 58 | 9.6 | 9.04471878605714 | 0.555281213942857 |
| 59 | 9.3 | 9.06196415168186 | 0.238035848318139 |
| 60 | 9.3 | 9.07920951730658 | 0.220790482693419 |
| 61 | 9.6 | 9.0964548829313 | 0.503545117068699 |
| 62 | 9.5 | 9.11370024855602 | 0.38629975144398 |
| 63 | 9.5 | 9.13094561418074 | 0.369054385819260 |
| 64 | 9 | 9.14819097980546 | -0.148190979805459 |
| 65 | 8.9 | 9.16543634543018 | -0.265436345430178 |
| 66 | 9 | 9.1826817110549 | -0.182681711054898 |
| 67 | 10.1 | 9.19992707667962 | 0.900072923320383 |
| 68 | 10.2 | 9.21717244230434 | 0.982827557695663 |
| 69 | 10.2 | 9.23441780792906 | 0.965582192070943 |
| 70 | 9.5 | 9.25166317355377 | 0.248336826446225 |
| 71 | 9.3 | 9.2689085391785 | 0.0310914608215061 |
| 72 | 9.3 | 9.28615390480321 | 0.0138460951967866 |
| 73 | 9.4 | 9.30339927042793 | 0.0966007295720668 |
| 74 | 9.3 | 9.32064463605265 | -0.0206446360526521 |
| 75 | 9.1 | 9.33789000167737 | -0.237890001677373 |
| 76 | 9 | 9.3551353673021 | -0.355135367302092 |
| 77 | 8.9 | 9.37238073292681 | -0.472380732926811 |
| 78 | 9 | 9.38962609855153 | -0.389626098551531 |
| 79 | 9.8 | 9.40687146417625 | 0.393128535823751 |
| 80 | 10 | 9.42411682980097 | 0.575883170199031 |
| 81 | 9.8 | 9.44136219542569 | 0.358637804574312 |
| 82 | 9.4 | 9.4586075610504 | -0.0586075610504077 |
| 83 | 9 | 9.27164340936855 | -0.271643409368546 |
| 84 | 8.9 | 9.49309829229985 | -0.593098292299847 |
| 85 | 9.3 | 9.51034365792457 | -0.210343657924566 |
| 86 | 9.1 | 9.52758902354929 | -0.427589023549286 |
| 87 | 8.8 | 9.544834389174 | -0.744834389174004 |
| 88 | 8.9 | 9.35787023749214 | -0.457870237492143 |
| 89 | 8.7 | 9.57932512042344 | -0.879325120423445 |
| 90 | 8.6 | 9.59657048604816 | -0.996570486048164 |
| 91 | 9.1 | 9.61381585167288 | -0.513815851672883 |
| 92 | 9.3 | 9.6310612172976 | -0.331061217297601 |
| 93 | 8.9 | 9.64830658292232 | -0.748306582922321 |
