| Multiple Linear Regression - Estimated Regression Equation |
| Y[t] = + 105.254791526706 -0.184143687937644X[t] + 1.17358473718674t + 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) | 105.254791526706 | 0.47985 | 219.3495 | 0 | 0 |
| X | -0.184143687937644 | 0.735517 | -0.2504 | 0.802803 | 0.401402 |
| t | 1.17358473718674 | 0.009782 | 119.971 | 0 | 0 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.998215775607425 |
| R-squared | 0.996434734671533 |
| Adjusted R-squared | 0.996366171876754 |
| F-TEST (value) | 14533.1697445343 |
| F-TEST (DF numerator) | 2 |
| F-TEST (DF denominator) | 104 |
| p-value | 0 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 2.19604117057745 |
| Sum Squared Residuals | 501.550069578604 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 102.3 | 106.428376263893 | -4.12837626389348 |
| 2 | 105.8 | 107.60196100108 | -1.80196100107999 |
| 3 | 106.7 | 108.775545738267 | -2.07554573826671 |
| 4 | 109.6 | 109.949130475453 | -0.349130475453471 |
| 5 | 111.9 | 111.122715212640 | 0.777284787359805 |
| 6 | 113.3 | 112.296299949827 | 1.00370005017306 |
| 7 | 114.6 | 113.469884687014 | 1.13011531298632 |
| 8 | 115.7 | 114.643469424200 | 1.05653057579959 |
| 9 | 117.3 | 115.817054161387 | 1.48294583861285 |
| 10 | 119.8 | 116.990638898574 | 2.80936110142611 |
| 11 | 120.6 | 118.164223635761 | 2.43577636423937 |
| 12 | 121.4 | 119.337808372947 | 2.06219162705265 |
| 13 | 123.5 | 120.511393110134 | 2.9886068898659 |
| 14 | 125.2 | 121.684977847321 | 3.51502215267917 |
| 15 | 126 | 122.858562584508 | 3.14143741549243 |
| 16 | 126.8 | 124.032147321694 | 2.76785267830569 |
| 17 | 128.1 | 125.205732058881 | 2.89426794111895 |
| 18 | 128.2 | 126.379316796068 | 1.82068320393220 |
| 19 | 129.3 | 127.552901533255 | 1.74709846674549 |
| 20 | 130.6 | 128.726486270441 | 1.87351372955874 |
| 21 | 131.4 | 129.900071007628 | 1.49992899237201 |
| 22 | 131.1 | 131.073655744815 | 0.0263442551852623 |
| 23 | 131.2 | 132.247240482001 | -1.04724048200148 |
| 24 | 131.2 | 133.420825219188 | -2.22082521918822 |
| 25 | 131.5 | 134.594409956375 | -3.09440995637494 |
| 26 | 133.5 | 135.767994693562 | -2.26799469356168 |
| 27 | 133.7 | 136.941579430748 | -3.24157943074843 |
| 28 | 133.5 | 138.115164167935 | -4.61516416793516 |
| 29 | 134 | 139.288748905122 | -5.2887489051219 |
| 30 | 135.9 | 140.462333642309 | -4.56233364230863 |
| 31 | 135.9 | 141.635918379495 | -5.73591837949537 |
| 32 | 137.2 | 142.809503116682 | -5.60950311668212 |
| 33 | 138.4 | 143.983087853869 | -5.58308785386884 |
| 34 | 140.9 | 145.156672591056 | -4.25667259105558 |
| 35 | 143 | 146.330257328242 | -3.33025732824232 |
| 36 | 144.1 | 147.503842065429 | -3.40384206542907 |
| 37 | 146.8 | 148.677426802616 | -1.87742680261579 |
| 38 | 149.1 | 149.851011539803 | -0.751011539802541 |
| 39 | 149.6 | 151.024596276989 | -1.42459627698928 |
| 40 | 151.2 | 152.198181014176 | -0.998181014176022 |
| 41 | 153.3 | 153.371765751363 | -0.071765751362737 |
| 42 | 156.9 | 154.545350488549 | 2.35464951145052 |
| 43 | 157.2 | 155.718935225736 | 1.48106477426377 |
| 44 | 158.5 | 156.892519962923 | 1.60748003707704 |
| 45 | 160 | 158.066104700110 | 1.9338952998903 |
| 46 | 162.5 | 159.239689437296 | 3.26031056270356 |
| 47 | 162.9 | 160.413274174483 | 2.48672582551683 |
| 48 | 164.7 | 161.58685891167 | 3.11314108833008 |
| 49 | 165 | 162.760443648857 | 2.23955635114335 |
| 50 | 167.2 | 163.934028386043 | 3.26597161395661 |
| 51 | 168.6 | 165.10761312323 | 3.49238687676987 |
| 52 | 169.5 | 166.281197860417 | 3.21880213958314 |
| 53 | 169.8 | 167.454782597604 | 2.34521740239641 |
| 54 | 171.9 | 168.628367334790 | 3.27163266520967 |
| 55 | 172 | 169.801952071977 | 2.19804792802293 |
| 56 | 173.7 | 170.975536809164 | 2.72446319083618 |
| 57 | 173.9 | 172.149121546351 | 1.75087845364946 |
| 58 | 175.9 | 173.322706283537 | 2.57729371646272 |
| 59 | 175.6 | 174.496291020724 | 1.10370897927597 |
| 60 | 176.1 | 175.669875757911 | 0.430124242089237 |
| 61 | 176.3 | 176.843460495098 | -0.543460495097485 |
| 62 | 179.4 | 178.017045232284 | 1.38295476771577 |
| 63 | 179.7 | 179.190629969471 | 0.509370030529018 |
| 64 | 179.9 | 180.364214706658 | -0.464214706657703 |
| 65 | 180.4 | 181.537799443844 | -1.13779944384444 |
| 66 | 182.5 | 182.711384181031 | -0.211384181031187 |
| 67 | 183.6 | 183.884968918218 | -0.284968918217928 |
| 68 | 183.9 | 185.058553655405 | -1.15855365540466 |
| 69 | 184.5 | 186.232138392591 | -1.7321383925914 |
| 70 | 187.6 | 187.405723129778 | 0.194276870221859 |
| 71 | 188 | 188.579307866965 | -0.579307866964877 |
| 72 | 188.5 | 189.752892604152 | -1.25289260415161 |
| 73 | 188.6 | 190.926477341338 | -2.32647734133835 |
| 74 | 191.9 | 192.100062078525 | -0.200062078525077 |
| 75 | 193.5 | 193.273646815712 | 0.226353184288174 |
| 76 | 194.9 | 194.447231552899 | 0.452768447101445 |
| 77 | 194.9 | 195.620816290085 | -0.72081629008529 |
| 78 | 196.2 | 196.794401027272 | -0.59440102727205 |
| 79 | 196.2 | 197.967985764459 | -1.76798576445879 |
| 80 | 198 | 199.141570501646 | -1.14157050164551 |
| 81 | 198.6 | 200.315155238832 | -1.71515523883226 |
| 82 | 201.3 | 201.488739976019 | -0.188739976018975 |
| 83 | 203.5 | 202.662324713206 | 0.837675286794278 |
| 84 | 204.1 | 203.835909450392 | 0.26409054960753 |
| 85 | 204.8 | 204.825350499642 | -0.0253504996415309 |
| 86 | 206.5 | 205.998935236828 | 0.501064763171723 |
| 87 | 207.8 | 207.172519974015 | 0.627480025984995 |
| 88 | 208.6 | 208.346104711202 | 0.253895288798241 |
| 89 | 209.7 | 209.519689448389 | 0.180310551611498 |
| 90 | 210 | 210.693274185575 | -0.693274185575227 |
| 91 | 211.7 | 211.866858922762 | -0.166858922761978 |
| 92 | 212.4 | 213.040443659949 | -0.640443659948698 |
| 93 | 213.7 | 214.214028397135 | -0.514028397135453 |
| 94 | 214.8 | 215.387613134322 | -0.587613134322168 |
| 95 | 216.4 | 216.561197871509 | -0.161197871508911 |
| 96 | 217.5 | 217.734782608696 | -0.234782608695654 |
| 97 | 218.6 | 218.908367345882 | -0.308367345882397 |
| 98 | 220.4 | 220.081952083069 | 0.318047916930877 |
| 99 | 221.8 | 221.255536820256 | 0.544463179744145 |
| 100 | 222.5 | 222.429121557443 | 0.0708784425573961 |
| 101 | 223.4 | 223.602706294629 | -0.202706294629335 |
| 102 | 225.5 | 224.776291031816 | 0.723708968183921 |
| 103 | 226.5 | 225.949875769003 | 0.550124230997184 |
| 104 | 227.8 | 227.123460506190 | 0.676539493810457 |
| 105 | 228.5 | 228.297045243376 | 0.202954756623709 |
| 106 | 229.1 | 229.470629980563 | -0.370629980563035 |
| 107 | 229.9 | 230.64421471775 | -0.74421471774976 |
