Multiple Linear Regression - Estimated Regression Equation |
y[t] = + 99.5657894736842 + 10.1961152882206x[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) | 99.5657894736842 | 1.900597 | 52.3866 | 0 | 0 |
x | 10.1961152882206 | 2.623073 | 3.8871 | 0.000212 | 0.000106 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.40283525888397 |
R-squared | 0.162276245800115 |
Adjusted R-squared | 0.151536197669348 |
F-TEST (value) | 15.1094523808726 |
F-TEST (DF numerator) | 1 |
F-TEST (DF denominator) | 78 |
p-value | 0.000211700505996726 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 11.7160664254836 |
Sum Squared Residuals | 10706.7645739348 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 106.7 | 99.5657894736846 | 7.13421052631544 |
2 | 110.2 | 99.5657894736842 | 10.6342105263158 |
3 | 125.9 | 99.5657894736842 | 26.3342105263158 |
4 | 100.1 | 99.5657894736842 | 0.534210526315793 |
5 | 106.4 | 99.5657894736842 | 6.8342105263158 |
6 | 114.8 | 99.5657894736842 | 15.2342105263158 |
7 | 81.3 | 99.5657894736842 | -18.2657894736842 |
8 | 87 | 99.5657894736842 | -12.5657894736842 |
9 | 104.2 | 99.5657894736842 | 4.6342105263158 |
10 | 108 | 99.5657894736842 | 8.4342105263158 |
11 | 105 | 99.5657894736842 | 5.4342105263158 |
12 | 94.5 | 99.5657894736842 | -5.0657894736842 |
13 | 92 | 99.5657894736842 | -7.5657894736842 |
14 | 95.9 | 99.5657894736842 | -3.66578947368420 |
15 | 108.8 | 99.5657894736842 | 9.2342105263158 |
16 | 103.4 | 99.5657894736842 | 3.83421052631580 |
17 | 102.1 | 99.5657894736842 | 2.53421052631579 |
18 | 110.1 | 99.5657894736842 | 10.5342105263158 |
19 | 83.2 | 99.5657894736842 | -16.3657894736842 |
20 | 82.7 | 99.5657894736842 | -16.8657894736842 |
21 | 106.8 | 99.5657894736842 | 7.2342105263158 |
22 | 113.7 | 99.5657894736842 | 14.1342105263158 |
23 | 102.5 | 99.5657894736842 | 2.9342105263158 |
24 | 96.6 | 99.5657894736842 | -2.96578947368421 |
25 | 92.1 | 99.5657894736842 | -7.4657894736842 |
26 | 95.6 | 99.5657894736842 | -3.96578947368421 |
27 | 102.3 | 99.5657894736842 | 2.73421052631580 |
28 | 98.6 | 99.5657894736842 | -0.965789473684207 |
29 | 98.2 | 99.5657894736842 | -1.36578947368420 |
30 | 104.5 | 99.5657894736842 | 4.9342105263158 |
31 | 84 | 99.5657894736842 | -15.5657894736842 |
32 | 73.8 | 99.5657894736842 | -25.7657894736842 |
33 | 103.9 | 99.5657894736842 | 4.33421052631580 |
34 | 106 | 99.5657894736842 | 6.4342105263158 |
35 | 97.2 | 99.5657894736842 | -2.3657894736842 |
36 | 102.6 | 99.5657894736842 | 3.03421052631579 |
37 | 89 | 99.5657894736842 | -10.5657894736842 |
38 | 93.8 | 99.5657894736842 | -5.7657894736842 |
39 | 116.7 | 109.761904761905 | 6.93809523809524 |
40 | 106.8 | 109.761904761905 | -2.96190476190477 |
41 | 98.5 | 109.761904761905 | -11.2619047619048 |
42 | 118.7 | 109.761904761905 | 8.93809523809524 |
43 | 90 | 109.761904761905 | -19.7619047619048 |
44 | 91.9 | 109.761904761905 | -17.8619047619048 |
45 | 113.3 | 109.761904761905 | 3.53809523809523 |
46 | 113.1 | 109.761904761905 | 3.33809523809523 |
47 | 104.1 | 109.761904761905 | -5.66190476190477 |
48 | 108.7 | 109.761904761905 | -1.06190476190476 |
49 | 96.7 | 109.761904761905 | -13.0619047619048 |
50 | 101 | 109.761904761905 | -8.76190476190476 |
51 | 116.9 | 109.761904761905 | 7.13809523809524 |
52 | 105.8 | 109.761904761905 | -3.96190476190477 |
53 | 99 | 109.761904761905 | -10.7619047619048 |
54 | 129.4 | 109.761904761905 | 19.6380952380952 |
55 | 83 | 109.761904761905 | -26.7619047619048 |
56 | 88.9 | 109.761904761905 | -20.8619047619048 |
57 | 115.9 | 109.761904761905 | 6.13809523809524 |
58 | 104.2 | 109.761904761905 | -5.56190476190476 |
59 | 113.4 | 109.761904761905 | 3.63809523809524 |
60 | 112.2 | 109.761904761905 | 2.43809523809524 |
61 | 100.8 | 109.761904761905 | -8.96190476190477 |
62 | 107.3 | 109.761904761905 | -2.46190476190477 |
63 | 126.6 | 109.761904761905 | 16.8380952380952 |
64 | 102.9 | 109.761904761905 | -6.86190476190476 |
65 | 117.9 | 109.761904761905 | 8.13809523809524 |
66 | 128.8 | 109.761904761905 | 19.0380952380952 |
67 | 87.5 | 109.761904761905 | -22.2619047619048 |
68 | 93.8 | 109.761904761905 | -15.9619047619048 |
69 | 122.7 | 109.761904761905 | 12.9380952380952 |
70 | 126.2 | 109.761904761905 | 16.4380952380952 |
71 | 124.6 | 109.761904761905 | 14.8380952380952 |
72 | 116.7 | 109.761904761905 | 6.93809523809524 |
73 | 115.2 | 109.761904761905 | 5.43809523809524 |
74 | 111.1 | 109.761904761905 | 1.33809523809523 |
75 | 129.9 | 109.761904761905 | 20.1380952380952 |
76 | 113.3 | 109.761904761905 | 3.53809523809523 |
77 | 118.5 | 109.761904761905 | 8.73809523809524 |
78 | 133.5 | 109.761904761905 | 23.7380952380952 |
79 | 102.1 | 109.761904761905 | -7.66190476190477 |
80 | 102.4 | 109.761904761905 | -7.36190476190476 |