| Multiple Linear Regression - Estimated Regression Equation |
| Y[t] = + 94.5481481481482 + 27.6650462962963x[t] + 1.61778273809523M1[t] + 3.31658399470900M2[t] + 8.46538525132275M3[t] + 8.7016865079365M4[t] + 11.2379877645503M5[t] + 11.9492890211640M6[t] + 10.2480902777778M7[t] + 3.23439153439153M8[t] + 4.60819279100529M9[t] -5.18688822751323M10[t] -1.00058697089947M11[t] + 0.113698743386243t + 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) | 94.5481481481482 | 8.265588 | 11.4388 | 0 | 0 |
| x | 27.6650462962963 | 8.109128 | 3.4116 | 0.001021 | 0.00051 |
| M1 | 1.61778273809523 | 9.948106 | 0.1626 | 0.871231 | 0.435616 |
| M2 | 3.31658399470900 | 9.945423 | 0.3335 | 0.739657 | 0.369828 |
| M3 | 8.46538525132275 | 9.945039 | 0.8512 | 0.397222 | 0.198611 |
| M4 | 8.7016865079365 | 9.946956 | 0.8748 | 0.38433 | 0.192165 |
| M5 | 11.2379877645503 | 9.951171 | 1.1293 | 0.262183 | 0.131092 |
| M6 | 11.9492890211640 | 9.957682 | 1.2 | 0.233723 | 0.116861 |
| M7 | 10.2480902777778 | 9.966484 | 1.0283 | 0.306968 | 0.153484 |
| M8 | 3.23439153439153 | 9.977571 | 0.3242 | 0.746669 | 0.373334 |
| M9 | 4.60819279100529 | 9.990936 | 0.4612 | 0.645896 | 0.322948 |
| M10 | -5.18688822751323 | 10.271291 | -0.505 | 0.614972 | 0.307486 |
| M11 | -1.00058697089947 | 10.26795 | -0.0974 | 0.922618 | 0.461309 |
| t | 0.113698743386243 | 0.151245 | 0.7518 | 0.454433 | 0.227217 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.695525186305115 |
| R-squared | 0.483755284784765 |
| Adjusted R-squared | 0.398803622787321 |
| F-TEST (value) | 5.6944769932732 |
| F-TEST (DF numerator) | 13 |
| F-TEST (DF denominator) | 79 |
| p-value | 3.14955991953525e-07 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 19.2074917059669 |
| Sum Squared Residuals | 29145.2912731482 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 99.5 | 96.2796296296297 | 3.22037037037033 |
| 2 | 101.6 | 98.0921296296296 | 3.50787037037038 |
| 3 | 103.9 | 103.354629629630 | 0.54537037037038 |
| 4 | 106.6 | 103.704629629630 | 2.89537037037037 |
| 5 | 108.3 | 106.354629629630 | 1.94537037037038 |
| 6 | 102 | 107.179629629630 | -5.17962962962963 |
| 7 | 93.8 | 105.592129629630 | -11.7921296296296 |
| 8 | 91.6 | 98.6921296296296 | -7.09212962962964 |
| 9 | 97.7 | 100.179629629630 | -2.47962962962962 |
| 10 | 94.8 | 90.4982473544974 | 4.30175264550264 |
| 11 | 98 | 94.7982473544973 | 3.20175264550265 |
| 12 | 103.8 | 95.912533068783 | 7.88746693121693 |
| 13 | 97.8 | 97.6440145502645 | 0.155985449735449 |
| 14 | 91.2 | 99.4565145502646 | -8.25651455026456 |
| 15 | 89.3 | 104.719014550265 | -15.4190145502646 |
| 16 | 87.5 | 105.069014550265 | -17.5690145502646 |
| 17 | 90.4 | 107.719014550265 | -17.3190145502646 |
| 18 | 94.2 | 108.544014550265 | -14.3440145502646 |
| 19 | 102.2 | 106.956514550265 | -4.75651455026454 |
| 20 | 101.3 | 100.056514550265 | 1.24348544973545 |
| 21 | 96 | 101.544014550265 | -5.54401455026455 |
| 22 | 90.8 | 91.8626322751323 | -1.06263227513227 |
| 23 | 93.2 | 96.1626322751323 | -2.96263227513228 |
| 24 | 90.9 | 97.276917989418 | -6.37691798941798 |
| 25 | 91.1 | 99.0083994708995 | -7.90839947089947 |
| 26 | 90.2 | 100.820899470899 | -10.6208994708995 |
| 27 | 94.3 | 106.083399470899 | -11.7833994708995 |
| 28 | 96 | 106.433399470899 | -10.4333994708995 |
| 29 | 99 | 109.083399470899 | -10.0833994708995 |
| 30 | 103.3 | 109.908399470899 | -6.60839947089947 |
| 31 | 113.1 | 108.320899470899 | 4.77910052910053 |
| 32 | 112.8 | 101.420899470899 | 11.3791005291005 |
| 33 | 112.1 | 102.908399470899 | 9.19160052910053 |
| 34 | 107.4 | 93.2270171957672 | 14.1729828042328 |
| 35 | 111 | 97.5270171957672 | 13.4729828042328 |
| 36 | 110.5 | 98.6413029100529 | 11.8586970899471 |
| 37 | 110.8 | 100.372784391534 | 10.4272156084656 |
| 38 | 112.4 | 102.185284391534 | 10.2147156084656 |
| 39 | 111.5 | 107.447784391534 | 4.05221560846561 |
| 40 | 116.2 | 107.797784391534 | 8.40221560846561 |
| 41 | 122.5 | 110.447784391534 | 12.0522156084656 |
| 42 | 121.3 | 111.272784391534 | 10.0272156084656 |
| 43 | 113.9 | 109.685284391534 | 4.21471560846562 |
| 44 | 110.7 | 102.785284391534 | 7.91471560846562 |
| 45 | 120.8 | 104.272784391534 | 16.5272156084656 |
| 46 | 141.1 | 122.256448412698 | 18.8435515873016 |
| 47 | 147.4 | 126.556448412698 | 20.8435515873016 |
| 48 | 148 | 127.670734126984 | 20.3292658730159 |
| 49 | 158.1 | 129.402215608466 | 28.6977843915344 |
| 50 | 165 | 131.214715608466 | 33.7852843915344 |
| 51 | 187 | 136.477215608466 | 50.5227843915344 |
| 52 | 190.3 | 136.827215608466 | 53.4727843915344 |
| 53 | 182.4 | 139.477215608466 | 42.9227843915344 |
| 54 | 168.8 | 140.302215608466 | 28.4977843915344 |
| 55 | 151.2 | 138.714715608466 | 12.4852843915344 |
| 56 | 120.1 | 131.814715608466 | -11.7147156084656 |
| 57 | 112.5 | 133.302215608466 | -20.8022156084656 |
| 58 | 106.2 | 123.620833333333 | -17.4208333333333 |
| 59 | 107.1 | 127.920833333333 | -20.8208333333334 |
| 60 | 108.5 | 129.035119047619 | -20.5351190476191 |
| 61 | 106.5 | 130.766600529101 | -24.2666005291005 |
| 62 | 108.3 | 132.579100529101 | -24.2791005291005 |
| 63 | 125.6 | 137.841600529101 | -12.2416005291005 |
| 64 | 124 | 138.191600529101 | -14.1916005291005 |
| 65 | 127.2 | 140.841600529101 | -13.6416005291005 |
| 66 | 136.9 | 141.666600529101 | -4.76660052910053 |
| 67 | 135.8 | 140.079100529101 | -4.27910052910052 |
| 68 | 124.3 | 133.179100529101 | -8.87910052910053 |
| 69 | 115.4 | 134.666600529101 | -19.2666005291005 |
| 70 | 113.6 | 124.985218253968 | -11.3852182539683 |
| 71 | 114.4 | 129.285218253968 | -14.8852182539683 |
| 72 | 118.4 | 130.399503968254 | -11.9995039682540 |
| 73 | 117 | 132.130985449735 | -15.1309854497354 |
| 74 | 116.5 | 133.943485449735 | -17.4434854497355 |
| 75 | 115.4 | 139.205985449735 | -23.8059854497354 |
| 76 | 113.6 | 139.555985449735 | -25.9559854497355 |
| 77 | 117.4 | 142.205985449735 | -24.8059854497355 |
| 78 | 116.9 | 143.030985449735 | -26.1309854497355 |
| 79 | 116.4 | 141.443485449735 | -25.0434854497354 |
| 80 | 111.1 | 134.543485449735 | -23.4434854497355 |
| 81 | 110.2 | 136.030985449735 | -25.8309854497354 |
| 82 | 118.9 | 126.349603174603 | -7.44960317460317 |
| 83 | 131.8 | 130.649603174603 | 1.15039682539683 |
| 84 | 130.6 | 131.763888888889 | -1.16388888888890 |
| 85 | 138.3 | 133.495370370370 | 4.80462962962964 |
| 86 | 148.4 | 135.307870370370 | 13.0921296296296 |
| 87 | 148.7 | 140.570370370370 | 8.12962962962961 |
| 88 | 144.3 | 140.920370370370 | 3.37962962962964 |
| 89 | 152.5 | 143.570370370370 | 8.92962962962963 |
| 90 | 162.9 | 144.395370370370 | 18.5046296296296 |
| 91 | 167.2 | 142.807870370370 | 24.3921296296296 |
| 92 | 166.5 | 135.907870370370 | 30.5921296296296 |
| 93 | 185.6 | 137.395370370370 | 48.2046296296296 |
