Multiple Linear Regression - Estimated Regression Equation |
Y[t] = + 98.3859649122807 + 49.7918128654971X[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) | 98.3859649122807 | 1.502167 | 65.496 | 0 | 0 |
X | 49.7918128654971 | 2.414395 | 20.6229 | 0 | 0 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.907605168693568 |
R-squared | 0.82374714223928 |
Adjusted R-squared | 0.821810297648502 |
F-TEST (value) | 425.303685263026 |
F-TEST (DF numerator) | 1 |
F-TEST (DF denominator) | 91 |
p-value | 0 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 11.3411101817907 |
Sum Squared Residuals | 11704.4909941521 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 112.1 | 98.3859649122807 | 13.7140350877193 |
2 | 104.2 | 98.3859649122807 | 5.81403508771929 |
3 | 102.4 | 98.3859649122807 | 4.0140350877193 |
4 | 100.3 | 98.3859649122807 | 1.91403508771930 |
5 | 102.6 | 98.3859649122807 | 4.21403508771929 |
6 | 101.5 | 98.3859649122807 | 3.1140350877193 |
7 | 103.4 | 98.3859649122807 | 5.0140350877193 |
8 | 99.4 | 98.3859649122807 | 1.01403508771930 |
9 | 97.9 | 98.3859649122807 | -0.485964912280696 |
10 | 98 | 98.3859649122807 | -0.385964912280702 |
11 | 90.2 | 98.3859649122807 | -8.1859649122807 |
12 | 87.1 | 98.3859649122807 | -11.2859649122807 |
13 | 91.8 | 98.3859649122807 | -6.5859649122807 |
14 | 94.8 | 98.3859649122807 | -3.58596491228070 |
15 | 91.8 | 98.3859649122807 | -6.5859649122807 |
16 | 89.3 | 98.3859649122807 | -9.0859649122807 |
17 | 91.7 | 98.3859649122807 | -6.6859649122807 |
18 | 86.2 | 98.3859649122807 | -12.1859649122807 |
19 | 82.8 | 98.3859649122807 | -15.5859649122807 |
20 | 82.3 | 98.3859649122807 | -16.0859649122807 |
21 | 79.8 | 98.3859649122807 | -18.5859649122807 |
22 | 79.4 | 98.3859649122807 | -18.9859649122807 |
23 | 85.3 | 98.3859649122807 | -13.0859649122807 |
24 | 87.5 | 98.3859649122807 | -10.8859649122807 |
25 | 88.3 | 98.3859649122807 | -10.0859649122807 |
26 | 88.6 | 98.3859649122807 | -9.7859649122807 |
27 | 94.9 | 98.3859649122807 | -3.48596491228070 |
28 | 94.7 | 98.3859649122807 | -3.6859649122807 |
29 | 92.6 | 98.3859649122807 | -5.78596491228071 |
30 | 91.8 | 98.3859649122807 | -6.5859649122807 |
31 | 96.4 | 98.3859649122807 | -1.98596491228070 |
32 | 96.4 | 98.3859649122807 | -1.98596491228070 |
33 | 107.1 | 98.3859649122807 | 8.7140350877193 |
34 | 111.9 | 98.3859649122807 | 13.5140350877193 |
35 | 107.8 | 98.3859649122807 | 9.4140350877193 |
36 | 109.2 | 98.3859649122807 | 10.8140350877193 |
37 | 115.3 | 98.3859649122807 | 16.9140350877193 |
38 | 119.2 | 98.3859649122807 | 20.8140350877193 |
39 | 107.8 | 98.3859649122807 | 9.4140350877193 |
40 | 106.8 | 98.3859649122807 | 8.4140350877193 |
41 | 104.2 | 98.3859649122807 | 5.8140350877193 |
42 | 94.8 | 98.3859649122807 | -3.58596491228070 |
43 | 97.5 | 98.3859649122807 | -0.885964912280702 |
44 | 98.3 | 98.3859649122807 | -0.0859649122807048 |
45 | 100.6 | 98.3859649122807 | 2.21403508771929 |
46 | 94.9 | 98.3859649122807 | -3.48596491228070 |
47 | 93.6 | 98.3859649122807 | -4.78596491228071 |
48 | 98 | 98.3859649122807 | -0.385964912280702 |
49 | 104.3 | 98.3859649122807 | 5.9140350877193 |
50 | 103.9 | 98.3859649122807 | 5.5140350877193 |
51 | 105.3 | 98.3859649122807 | 6.9140350877193 |
52 | 102.6 | 98.3859649122807 | 4.21403508771929 |
53 | 103.3 | 98.3859649122807 | 4.9140350877193 |
54 | 107.9 | 98.3859649122807 | 9.5140350877193 |
55 | 107.8 | 98.3859649122807 | 9.4140350877193 |
56 | 109.8 | 98.3859649122807 | 11.4140350877193 |
57 | 110.6 | 98.3859649122807 | 12.2140350877193 |
58 | 110.8 | 148.177777777778 | -37.3777777777778 |
59 | 119.3 | 148.177777777778 | -28.8777777777778 |
60 | 128.1 | 148.177777777778 | -20.0777777777778 |
61 | 127.6 | 148.177777777778 | -20.5777777777778 |
62 | 137.9 | 148.177777777778 | -10.2777777777778 |
63 | 151.4 | 148.177777777778 | 3.22222222222223 |
64 | 143.6 | 148.177777777778 | -4.57777777777779 |
65 | 143.4 | 148.177777777778 | -4.77777777777778 |
66 | 141.9 | 148.177777777778 | -6.27777777777778 |
67 | 135.2 | 148.177777777778 | -12.9777777777778 |
68 | 133.1 | 148.177777777778 | -15.0777777777778 |
69 | 129.6 | 148.177777777778 | -18.5777777777778 |
70 | 134.1 | 148.177777777778 | -14.0777777777778 |
71 | 136.8 | 148.177777777778 | -11.3777777777778 |
72 | 143.5 | 148.177777777778 | -4.67777777777778 |
73 | 162.5 | 148.177777777778 | 14.3222222222222 |
74 | 163.1 | 148.177777777778 | 14.9222222222222 |
75 | 157.2 | 148.177777777778 | 9.02222222222221 |
76 | 158.8 | 148.177777777778 | 10.6222222222222 |
77 | 155.4 | 148.177777777778 | 7.22222222222223 |
78 | 148.5 | 148.177777777778 | 0.32222222222222 |
79 | 154.2 | 148.177777777778 | 6.02222222222221 |
80 | 153.3 | 148.177777777778 | 5.12222222222223 |
81 | 149.4 | 148.177777777778 | 1.22222222222223 |
82 | 147.9 | 148.177777777778 | -0.277777777777775 |
83 | 156 | 148.177777777778 | 7.82222222222222 |
84 | 163 | 148.177777777778 | 14.8222222222222 |
85 | 159.1 | 148.177777777778 | 10.9222222222222 |
86 | 159.5 | 148.177777777778 | 11.3222222222222 |
87 | 157.3 | 148.177777777778 | 9.12222222222223 |
88 | 156.4 | 148.177777777778 | 8.22222222222223 |
89 | 156.6 | 148.177777777778 | 8.42222222222222 |
90 | 162.4 | 148.177777777778 | 14.2222222222222 |
91 | 166.8 | 148.177777777778 | 18.6222222222222 |
92 | 162.6 | 148.177777777778 | 14.4222222222222 |
93 | 168.1 | 148.177777777778 | 19.9222222222222 |