| Multiple Linear Regression - Estimated Regression Equation |
| y[t] = + 7.9589090909091 -0.664848484848485x[t] + 0.00684848484848708M1[t] -0.109818181818181M2[t] -0.259818181818182M3[t] -0.543151515151516M4[t] -0.776484848484849M5[t] -0.793151515151515M6[t] -0.559818181818181M7[t] -0.472969696969696M8[t] -0.412969696969697M9[t] -0.26M10[t] -0.180000000000000M11[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) | 7.9589090909091 | 0.239188 | 33.2747 | 0 | 0 |
| x | -0.664848484848485 | 0.125026 | -5.3177 | 2e-06 | 1e-06 |
| M1 | 0.00684848484848708 | 0.307777 | 0.0223 | 0.982329 | 0.491165 |
| M2 | -0.109818181818181 | 0.307777 | -0.3568 | 0.722624 | 0.361312 |
| M3 | -0.259818181818182 | 0.307777 | -0.8442 | 0.402295 | 0.201147 |
| M4 | -0.543151515151516 | 0.307777 | -1.7648 | 0.083259 | 0.04163 |
| M5 | -0.776484848484849 | 0.307777 | -2.5229 | 0.014618 | 0.007309 |
| M6 | -0.793151515151515 | 0.307777 | -2.577 | 0.01273 | 0.006365 |
| M7 | -0.559818181818181 | 0.307777 | -1.8189 | 0.074472 | 0.037236 |
| M8 | -0.472969696969696 | 0.322169 | -1.4681 | 0.147884 | 0.073942 |
| M9 | -0.412969696969697 | 0.322169 | -1.2818 | 0.205374 | 0.102687 |
| M10 | -0.26 | 0.321197 | -0.8095 | 0.421796 | 0.210898 |
| M11 | -0.180000000000000 | 0.321197 | -0.5604 | 0.577522 | 0.288761 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.674729792914137 |
| R-squared | 0.455260293445954 |
| Adjusted R-squared | 0.334207025322833 |
| F-TEST (value) | 3.76082612641995 |
| F-TEST (DF numerator) | 12 |
| F-TEST (DF denominator) | 54 |
| p-value | 0.000371990161561309 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 0.507857010373402 |
| Sum Squared Residuals | 13.9276121212121 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 7.8 | 7.96575757575756 | -0.165757575757563 |
| 2 | 7.6 | 7.8490909090909 | -0.249090909090909 |
| 3 | 7.5 | 7.69909090909091 | -0.199090909090909 |
| 4 | 7.6 | 7.41575757575758 | 0.184242424242423 |
| 5 | 7.5 | 7.18242424242424 | 0.317575757575757 |
| 6 | 7.3 | 7.16575757575757 | 0.134242424242425 |
| 7 | 7.6 | 7.39909090909091 | 0.200909090909091 |
| 8 | 7.5 | 7.4859393939394 | 0.0140606060606061 |
| 9 | 7.6 | 7.5459393939394 | 0.0540606060606054 |
| 10 | 7.9 | 7.69890909090909 | 0.201090909090909 |
| 11 | 7.9 | 7.77890909090909 | 0.121090909090909 |
| 12 | 8.1 | 7.95890909090909 | 0.141090909090909 |
| 13 | 8.2 | 7.96575757575758 | 0.234242424242421 |
| 14 | 8 | 7.84909090909091 | 0.150909090909091 |
| 15 | 7.5 | 7.69909090909091 | -0.199090909090909 |
| 16 | 6.8 | 7.41575757575758 | -0.615757575757576 |
| 17 | 6.5 | 7.18242424242424 | -0.682424242424242 |
| 18 | 6.6 | 7.16575757575758 | -0.565757575757577 |
| 19 | 7.6 | 7.39909090909091 | 0.200909090909090 |
| 20 | 8 | 7.4859393939394 | 0.514060606060606 |
| 21 | 8 | 7.5459393939394 | 0.454060606060606 |
| 22 | 7.7 | 7.69890909090909 | 0.00109090909090900 |
| 23 | 7.5 | 7.77890909090909 | -0.278909090909091 |
| 24 | 7.6 | 7.9589090909091 | -0.358909090909091 |
| 25 | 7.7 | 7.96575757575758 | -0.265757575757578 |
| 26 | 7.9 | 7.84909090909091 | 0.0509090909090912 |
| 27 | 7.8 | 7.69909090909091 | 0.100909090909091 |
| 28 | 7.5 | 7.41575757575758 | 0.0842424242424244 |
| 29 | 7.5 | 7.18242424242424 | 0.317575757575758 |
| 30 | 7.1 | 7.16575757575758 | -0.0657575757575765 |
| 31 | 7.5 | 7.39909090909091 | 0.100909090909091 |
| 32 | 7.5 | 7.4859393939394 | 0.0140606060606057 |
| 33 | 7.6 | 7.5459393939394 | 0.0540606060606058 |
| 34 | 7.7 | 7.0340606060606 | 0.665939393939394 |
| 35 | 7.9 | 7.1140606060606 | 0.785939393939394 |
| 36 | 8.1 | 7.2940606060606 | 0.805939393939394 |
| 37 | 8.2 | 7.30090909090909 | 0.899090909090906 |
| 38 | 8.2 | 7.18424242424242 | 1.01575757575758 |
| 39 | 8.1 | 7.03424242424242 | 1.06575757575758 |
| 40 | 7.9 | 6.75090909090909 | 1.14909090909091 |
| 41 | 7.3 | 6.51757575757576 | 0.782424242424242 |
| 42 | 6.9 | 6.50090909090909 | 0.399090909090909 |
| 43 | 6.6 | 6.73424242424242 | -0.134242424242425 |
| 44 | 6.7 | 6.82109090909091 | -0.121090909090909 |
| 45 | 6.9 | 6.88109090909091 | 0.0189090909090916 |
| 46 | 7 | 7.0340606060606 | -0.034060606060606 |
| 47 | 7.1 | 7.1140606060606 | -0.0140606060606064 |
| 48 | 7.2 | 7.2940606060606 | -0.0940606060606056 |
| 49 | 7.1 | 7.30090909090909 | -0.200909090909093 |
| 50 | 6.9 | 7.18424242424242 | -0.284242424242424 |
| 51 | 7 | 7.03424242424242 | -0.0342424242424239 |
| 52 | 6.8 | 6.75090909090909 | 0.0490909090909093 |
| 53 | 6.4 | 6.51757575757576 | -0.117575757575757 |
| 54 | 6.7 | 6.50090909090909 | 0.199090909090909 |
| 55 | 6.7 | 6.73424242424242 | -0.034242424242424 |
| 56 | 6.4 | 6.82109090909091 | -0.421090909090909 |
| 57 | 6.3 | 6.88109090909091 | -0.581090909090909 |
| 58 | 6.2 | 7.0340606060606 | -0.834060606060606 |
| 59 | 6.5 | 7.1140606060606 | -0.614060606060606 |
| 60 | 6.8 | 7.2940606060606 | -0.494060606060606 |
| 61 | 6.8 | 7.30090909090909 | -0.500909090909093 |
| 62 | 6.5 | 7.18424242424242 | -0.684242424242424 |
| 63 | 6.3 | 7.03424242424242 | -0.734242424242424 |
| 64 | 5.9 | 6.75090909090909 | -0.85090909090909 |
| 65 | 5.9 | 6.51757575757576 | -0.617575757575757 |
| 66 | 6.4 | 6.50090909090909 | -0.100909090909091 |
| 67 | 6.4 | 6.73424242424242 | -0.334242424242424 |
