| Multiple Linear Regression - Estimated Regression Equation |
| Graan[t] = + 96.395975503011 + 44.6480074863631X[t] + 0.396488259184912t + 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) | 96.395975503011 | 2.348861 | 41.0395 | 0 | 0 |
| X | 44.6480074863631 | 3.898376 | 11.453 | 0 | 0 |
| t | 0.396488259184912 | 0.050356 | 7.8737 | 0 | 0 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.916384589760264 |
| R-squared | 0.839760716350088 |
| Adjusted R-squared | 0.83619984338009 |
| F-TEST (value) | 235.830012310309 |
| F-TEST (DF numerator) | 2 |
| F-TEST (DF denominator) | 90 |
| p-value | 0 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 10.4228175455078 |
| Sum Squared Residuals | 9777.16130282513 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 102.7 | 96.7924637621964 | 5.90753623780355 |
| 2 | 103.2 | 97.1889520213809 | 6.01104797861912 |
| 3 | 105.6 | 97.5854402805657 | 8.01455971943425 |
| 4 | 103.9 | 97.9819285397507 | 5.91807146024932 |
| 5 | 107.2 | 98.3784167989356 | 8.8215832010644 |
| 6 | 100.7 | 98.7749050581205 | 1.92509494187949 |
| 7 | 92.1 | 99.1713933173054 | -7.07139331730543 |
| 8 | 90.3 | 99.5678815764903 | -9.26788157649034 |
| 9 | 93.4 | 99.9643698356753 | -6.56436983567525 |
| 10 | 98.5 | 100.360858094860 | -1.86085809486016 |
| 11 | 100.8 | 100.757346354045 | 0.0426536459549209 |
| 12 | 102.3 | 101.15383461323 | 1.14616538677001 |
| 13 | 104.7 | 101.550322872415 | 3.1496771275851 |
| 14 | 101.1 | 101.946811131600 | -0.846811131599819 |
| 15 | 101.4 | 102.343299390785 | -0.94329939078472 |
| 16 | 99.5 | 102.739787649970 | -3.23978764996964 |
| 17 | 98.4 | 103.136275909155 | -4.73627590915455 |
| 18 | 96.3 | 103.532764168339 | -7.23276416833947 |
| 19 | 100.7 | 103.929252427524 | -3.22925242752437 |
| 20 | 101.2 | 104.325740686709 | -3.12574068670929 |
| 21 | 100.3 | 104.722228945894 | -4.42222894589421 |
| 22 | 97.8 | 105.118717205079 | -7.31871720507912 |
| 23 | 97.4 | 105.515205464264 | -8.11520546426402 |
| 24 | 98.6 | 105.911693723449 | -7.31169372344894 |
| 25 | 99.7 | 106.308181982634 | -6.60818198263385 |
| 26 | 99 | 106.704670241819 | -7.70467024181876 |
| 27 | 98.1 | 107.101158501004 | -9.00115850100368 |
| 28 | 97 | 107.497646760189 | -10.4976467601886 |
| 29 | 98.5 | 107.894135019374 | -9.3941350193735 |
| 30 | 103.8 | 108.290623278558 | -4.49062327855842 |
| 31 | 114.4 | 108.687111537743 | 5.71288846225668 |
| 32 | 124.5 | 109.083599796928 | 15.4164002030718 |
| 33 | 134.2 | 109.480088056113 | 24.7199119438868 |
| 34 | 131.8 | 109.876576315298 | 21.9234236847020 |
| 35 | 125.6 | 110.273064574483 | 15.3269354255170 |
| 36 | 119.9 | 110.669552833668 | 9.23044716633212 |
| 37 | 114.9 | 111.066041092853 | 3.83395890714721 |
| 38 | 115.5 | 111.462529352038 | 4.03747064796229 |
| 39 | 112.5 | 111.859017611223 | 0.640982388777375 |
| 40 | 111.4 | 112.255505870408 | -0.855505870407532 |
| 41 | 115.3 | 112.651994129592 | 2.64800587040755 |
| 42 | 110.8 | 113.048482388777 | -2.24848238877737 |
| 43 | 103.7 | 113.444970647962 | -9.74497064796227 |
| 44 | 111.1 | 113.841458907147 | -2.74145890714719 |
| 45 | 113 | 114.237947166332 | -1.2379471663321 |
| 46 | 111.2 | 114.634435425517 | -3.43443542551701 |
| 47 | 117.6 | 115.030923684702 | 2.56907631529807 |
| 48 | 121.7 | 115.427411943887 | 6.27258805611317 |
| 49 | 127.3 | 115.823900203072 | 11.4760997969282 |
| 50 | 129.8 | 116.220388462257 | 13.5796115377433 |
| 51 | 137.1 | 116.616876721442 | 20.4831232785584 |
| 52 | 141.4 | 117.013364980626 | 24.3866350193735 |
| 53 | 137.4 | 117.409853239811 | 19.9901467601886 |
| 54 | 130.7 | 117.806341498996 | 12.8936585010037 |
| 55 | 117.2 | 118.202829758181 | -1.00282975818122 |
| 56 | 110.8 | 118.599318017366 | -7.79931801736614 |
| 57 | 111.4 | 118.995806276551 | -7.59580627655104 |
| 58 | 108.2 | 119.392294535736 | -11.1922945357360 |
| 59 | 108.8 | 119.788782794921 | -10.9887827949209 |
| 60 | 110.2 | 120.185271054106 | -9.98527105410579 |
| 61 | 109.5 | 120.581759313291 | -11.0817593132907 |
| 62 | 109.5 | 120.978247572476 | -11.4782475724756 |
| 63 | 116 | 121.374735831661 | -5.37473583166052 |
| 64 | 111.2 | 121.771224090845 | -10.5712240908454 |
| 65 | 112.1 | 122.167712350030 | -10.0677123500304 |
| 66 | 114 | 122.564200609215 | -8.56420060921526 |
| 67 | 119.1 | 122.960688868400 | -3.86068886840018 |
| 68 | 114.1 | 123.357177127585 | -9.25717712758509 |
| 69 | 115.1 | 123.75366538677 | -8.65366538677 |
| 70 | 115.4 | 124.150153645955 | -8.7501536459549 |
| 71 | 110.8 | 124.546641905140 | -13.7466419051398 |
| 72 | 116 | 124.943130164325 | -8.94313016432474 |
| 73 | 119.2 | 125.339618423510 | -6.13961842350965 |
| 74 | 126.5 | 125.736106682695 | 0.763893317305439 |
| 75 | 127.8 | 126.132594941879 | 1.66740505812052 |
| 76 | 131.3 | 126.529083201064 | 4.77091679893563 |
| 77 | 140.3 | 126.925571460249 | 13.3744285397507 |
| 78 | 137.3 | 127.322059719434 | 9.9779402805658 |
| 79 | 143 | 127.718547978619 | 15.2814520213809 |
| 80 | 134.5 | 128.115036237804 | 6.38496376219597 |
| 81 | 139.9 | 173.159531983352 | -33.2595319833521 |
| 82 | 159.3 | 173.556020242537 | -14.2560202425370 |
| 83 | 170.4 | 173.952508501722 | -3.55250850172189 |
| 84 | 175 | 174.348996760907 | 0.651003239093194 |
| 85 | 175.8 | 174.745485020092 | 1.05451497990829 |
| 86 | 180.9 | 175.141973279277 | 5.75802672072337 |
| 87 | 180.3 | 175.538461538462 | 4.76153846153847 |
| 88 | 169.6 | 175.934949797646 | -6.33494979764646 |
| 89 | 172.3 | 176.331438056831 | -4.03143805683136 |
| 90 | 184.8 | 176.727926316016 | 8.07207368398373 |
| 91 | 177.7 | 177.124414575201 | 0.575585424798795 |
| 92 | 184.6 | 177.520902834386 | 7.07909716561389 |
| 93 | 211.4 | 177.917391093571 | 33.482608906429 |
