| Multiple Linear Regression - Estimated Regression Equation |
| Y[t] = + 18.3994219532531 + 0.521216112951609X[t] + 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) | 18.3994219532531 | 19.909292 | 0.9242 | 0.359231 | 0.179615 |
| X | 0.521216112951609 | 0.173441 | 3.0051 | 0.003917 | 0.001958 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.36705234008517 |
| R-squared | 0.134727420361999 |
| Adjusted R-squared | 0.11980892760962 |
| F-TEST (value) | 9.03090027915266 |
| F-TEST (DF numerator) | 1 |
| F-TEST (DF denominator) | 58 |
| p-value | 0.00391666502419119 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 11.9449615201539 |
| Sum Squared Residuals | 8275.56213164159 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 106.7 | 74.8992485972076 | 31.8007514027924 |
| 2 | 100.6 | 79.3817071685914 | 21.2182928314086 |
| 3 | 101.2 | 72.5016544776301 | 28.6983455223699 |
| 4 | 93.1 | 70.9380061387753 | 22.1619938612247 |
| 5 | 84.2 | 76.045924045701 | 8.15407595429894 |
| 6 | 85.8 | 72.6058977002205 | 13.1941022997796 |
| 7 | 91.8 | 77.0883562716043 | 14.7116437283957 |
| 8 | 92.4 | 74.3259108729607 | 18.0740891270393 |
| 9 | 80.3 | 69.9476955241672 | 10.3523044758328 |
| 10 | 79.7 | 75.6289511553398 | 4.07104884466023 |
| 11 | 62.5 | 73.0749922018769 | -10.5749922018769 |
| 12 | 57.1 | 71.6677086969076 | -14.5677086969075 |
| 13 | 100.8 | 82.9780983479575 | 17.8219016520425 |
| 14 | 100.7 | 83.499314460909 | 17.2006855390909 |
| 15 | 86.2 | 77.1404778828994 | 9.05952211710056 |
| 16 | 83.2 | 81.9356661220542 | 1.26433387794575 |
| 17 | 71.7 | 70.833762916185 | 0.866237083815031 |
| 18 | 77.5 | 72.762262534106 | 4.73773746589407 |
| 19 | 89.8 | 81.1538419526268 | 8.64615804737316 |
| 20 | 80.3 | 74.4301540955511 | 5.86984590444892 |
| 21 | 78.7 | 72.0325599759737 | 6.66744002402632 |
| 22 | 93.8 | 83.8641657399752 | 9.9358342600248 |
| 23 | 57.6 | 74.4301540955511 | -16.8301540955511 |
| 24 | 60.6 | 75.1077350423882 | -14.5077350423882 |
| 25 | 91 | 85.3235708562397 | 5.67642914376029 |
| 26 | 85.3 | 81.518693231693 | 3.78130676830704 |
| 27 | 77.4 | 80.6847474509704 | -3.28474745097038 |
| 28 | 77.3 | 85.4799356901252 | -8.17993569012518 |
| 29 | 68.3 | 75.055613431093 | -6.75561343109301 |
| 30 | 69.9 | 73.3877218696479 | -3.48772186964785 |
| 31 | 81.7 | 80.8411122848559 | 0.858887715144137 |
| 32 | 75.1 | 76.4107753247672 | -1.31077532476719 |
| 33 | 69.9 | 76.045924045701 | -6.14592404570106 |
| 34 | 84 | 80.9974771187413 | 3.00252288125865 |
| 35 | 54.3 | 69.217992966035 | -14.917992966035 |
| 36 | 60 | 74.5343973181414 | -14.5343973181414 |
| 37 | 89.9 | 84.750233131993 | 5.14976686800707 |
| 38 | 77 | 79.4859503911817 | -2.48595039118168 |
| 39 | 85.3 | 80.8411122848559 | 4.45888771514413 |
| 40 | 77.6 | 78.9647342782301 | -1.36473427823008 |
| 41 | 69.2 | 76.2544104908817 | -7.0544104908817 |
| 42 | 75.5 | 76.984113049014 | -1.48411304901396 |
| 43 | 85.7 | 86.4702463047332 | -0.770246304733238 |
| 44 | 72.2 | 75.2640998762736 | -3.06409987627365 |
| 45 | 79.9 | 80.3198961719043 | -0.41989617190425 |
| 46 | 85.3 | 82.9780983479575 | 2.32190165204253 |
| 47 | 52.2 | 71.3549790291366 | -19.1549790291366 |
| 48 | 61.2 | 77.1925994941946 | -15.9925994941946 |
| 49 | 82.4 | 85.115084411059 | -2.71508441105905 |
| 50 | 85.4 | 85.9490301917816 | -0.549030191781625 |
| 51 | 78.2 | 83.9684089625655 | -5.76840896256552 |
| 52 | 70.2 | 80.6847474509704 | -10.4847474509704 |
| 53 | 70.2 | 78.7041262217543 | -8.50412622175427 |
| 54 | 69.3 | 77.6095723845559 | -8.3095723845559 |
| 55 | 77.5 | 86.0011518030768 | -8.50115180307679 |
| 56 | 66.1 | 76.7756266038333 | -10.6756266038333 |
| 57 | 69 | 79.277463946001 | -10.2774639460010 |
| 58 | 75.3 | 84.2290170190413 | -8.92901701904132 |
| 59 | 58.2 | 77.2447211054898 | -19.0447211054898 |
| 60 | 59.7 | 78.8083694443446 | -19.1083694443446 |
