| Multiple Linear Regression - Estimated Regression Equation |
| y[t] = + 101.112108908202 + 8.73704508419336`x `[t] + 0.139550063371357t + 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) | 101.112108908202 | 3.003934 | 33.6599 | 0 | 0 |
| `x ` | 8.73704508419336 | 4.576468 | 1.9091 | 0.059972 | 0.029986 |
| t | 0.139550063371357 | 0.090819 | 1.5366 | 0.128495 | 0.064248 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.521914763859964 |
| R-squared | 0.272395020735002 |
| Adjusted R-squared | 0.253496190104743 |
| F-TEST (value) | 14.4133267324413 |
| F-TEST (DF numerator) | 2 |
| F-TEST (DF denominator) | 77 |
| p-value | 4.81928936868492e-06 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 11.4084889276863 |
| Sum Squared Residuals | 10021.8287102118 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 97.3 | 101.251658971574 | -3.95165897157371 |
| 2 | 101 | 101.391209034945 | -0.391209034944769 |
| 3 | 113.2 | 101.530759098316 | 11.6692409016839 |
| 4 | 101 | 101.670309161687 | -0.670309161687471 |
| 5 | 105.7 | 101.809859225059 | 3.89014077494118 |
| 6 | 113.9 | 101.949409288430 | 11.9505907115698 |
| 7 | 86.4 | 102.088959351802 | -15.6889593518015 |
| 8 | 96.5 | 102.228509415173 | -5.7285094151729 |
| 9 | 103.3 | 102.368059478544 | 0.931940521455743 |
| 10 | 114.9 | 102.507609541916 | 12.3923904580844 |
| 11 | 105.8 | 102.647159605287 | 3.15284039471303 |
| 12 | 94.2 | 102.786709668658 | -8.58670966865832 |
| 13 | 98.4 | 102.926259732030 | -4.52625973202967 |
| 14 | 99.4 | 103.065809795401 | -3.66580979540103 |
| 15 | 108.8 | 103.205359858772 | 5.5946401412276 |
| 16 | 112.6 | 103.344909922144 | 9.25509007785624 |
| 17 | 104.4 | 103.484459985515 | 0.915540014484898 |
| 18 | 112.2 | 103.624010048886 | 8.57598995111354 |
| 19 | 81.1 | 103.763560112258 | -22.6635601122578 |
| 20 | 97.1 | 103.903110175629 | -6.80311017562918 |
| 21 | 112.6 | 104.042660239001 | 8.55733976099946 |
| 22 | 113.8 | 104.182210302372 | 9.6177896976281 |
| 23 | 107.8 | 104.321760365743 | 3.47823963425675 |
| 24 | 103.2 | 104.461310429115 | -1.26131042911460 |
| 25 | 103.3 | 104.600860492486 | -1.30086049248596 |
| 26 | 101.2 | 104.740410555857 | -3.54041055585731 |
| 27 | 107.7 | 104.879960619229 | 2.82003938077133 |
| 28 | 110.4 | 105.0195106826 | 5.38048931739997 |
| 29 | 101.9 | 105.159060745971 | -3.25906074597138 |
| 30 | 115.9 | 105.298610809343 | 10.6013891906573 |
| 31 | 89.9 | 105.438160872714 | -15.5381608727141 |
| 32 | 88.6 | 105.577710936085 | -16.9777109360855 |
| 33 | 117.2 | 105.717260999457 | 11.4827390005432 |
| 34 | 123.9 | 105.856811062828 | 18.0431889371718 |
| 35 | 100 | 105.996361126200 | -5.99636112619953 |
| 36 | 103.6 | 106.135911189571 | -2.53591118957089 |
| 37 | 94.1 | 106.275461252942 | -12.1754612529422 |
| 38 | 98.7 | 106.415011316314 | -7.7150113163136 |
| 39 | 119.5 | 106.554561379685 | 12.9454386203150 |
| 40 | 112.7 | 106.694111443056 | 6.00588855694369 |
| 41 | 104.4 | 106.833661506428 | -2.43366150642766 |
| 42 | 124.7 | 106.973211569799 | 17.7267884302010 |
| 43 | 89.1 | 107.112761633170 | -18.0127616331704 |
| 44 | 97 | 107.252311696542 | -10.2523116965417 |
| 45 | 121.6 | 107.391861759913 | 14.2081382400869 |
| 46 | 118.8 | 107.531411823284 | 11.2685881767155 |
| 47 | 114 | 107.670961886656 | 6.32903811334419 |
| 48 | 111.5 | 107.810511950027 | 3.68948804997284 |
| 49 | 97.2 | 107.950062013399 | -10.7500620133985 |
| 50 | 102.5 | 108.089612076770 | -5.58961207676988 |
| 51 | 113.4 | 108.229162140141 | 5.17083785985877 |
| 52 | 109.8 | 108.368712203513 | 1.43128779648741 |
| 53 | 104.9 | 108.508262266884 | -3.60826226688394 |
| 54 | 126.1 | 108.647812330255 | 17.4521876697447 |
| 55 | 80 | 108.787362393627 | -28.7873623936267 |
| 56 | 96.8 | 108.926912456998 | -12.1269124569980 |
| 57 | 117.2 | 117.803507604563 | -0.603507604562729 |
| 58 | 112.3 | 117.943057667934 | -5.64305766793409 |
| 59 | 117.3 | 118.082607731305 | -0.782607731305448 |
| 60 | 111.1 | 118.222157794677 | -7.12215779467681 |
| 61 | 102.2 | 118.361707858048 | -16.1617078580482 |
| 62 | 104.3 | 118.501257921420 | -14.2012579214195 |
| 63 | 122.9 | 118.640807984791 | 4.25919201520913 |
| 64 | 107.6 | 118.780358048162 | -11.1803580481622 |
| 65 | 121.3 | 118.919908111534 | 2.38009188846641 |
| 66 | 131.5 | 119.059458174905 | 12.4405418250951 |
| 67 | 89 | 119.199008238276 | -30.1990082382763 |
| 68 | 104.4 | 119.338558301648 | -14.9385583016476 |
| 69 | 128.9 | 119.478108365019 | 9.421891634981 |
| 70 | 135.9 | 119.617658428390 | 16.2823415716096 |
| 71 | 133.3 | 119.757208491762 | 13.5427915082383 |
| 72 | 121.3 | 119.896758555133 | 1.40324144486692 |
| 73 | 120.5 | 120.036308618504 | 0.463691381495562 |
| 74 | 120.4 | 120.175858681876 | 0.224141318124211 |
| 75 | 137.9 | 120.315408745247 | 17.5845912547529 |
| 76 | 126.1 | 120.454958808619 | 5.64504119138149 |
| 77 | 133.2 | 120.594508871990 | 12.6054911280101 |
| 78 | 146.6 | 120.734058935361 | 25.8659410646388 |
| 79 | 103.4 | 120.873608998733 | -17.4736089987326 |
| 80 | 117.2 | 121.013159062104 | -3.81315906210393 |
