Multiple Linear Regression - Estimated Regression Equation |
Y[t] = + 155.132142857143 + 62.6026397515528X[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) | 155.132142857143 | 2.815438 | 55.1005 | 0 | 0 |
X | 62.6026397515528 | 6.072589 | 10.3091 | 0 | 0 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.709239800503977 |
R-squared | 0.503021094618921 |
Adjusted R-squared | 0.49828796218672 |
F-TEST (value) | 106.276573035805 |
F-TEST (DF numerator) | 1 |
F-TEST (DF denominator) | 105 |
p-value | 0 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 25.8039117352387 |
Sum Squared Residuals | 69913.3953881989 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 102.3 | 155.132142857144 | -52.8321428571437 |
2 | 105.8 | 155.132142857143 | -49.332142857143 |
3 | 106.7 | 155.132142857143 | -48.4321428571428 |
4 | 109.6 | 155.132142857143 | -45.5321428571429 |
5 | 111.9 | 155.132142857143 | -43.2321428571428 |
6 | 113.3 | 155.132142857143 | -41.8321428571429 |
7 | 114.6 | 155.132142857143 | -40.5321428571429 |
8 | 115.7 | 155.132142857143 | -39.4321428571428 |
9 | 117.3 | 155.132142857143 | -37.8321428571429 |
10 | 119.8 | 155.132142857143 | -35.3321428571428 |
11 | 120.6 | 155.132142857143 | -34.5321428571429 |
12 | 121.4 | 155.132142857143 | -33.7321428571428 |
13 | 123.5 | 155.132142857143 | -31.6321428571428 |
14 | 125.2 | 155.132142857143 | -29.9321428571428 |
15 | 126 | 155.132142857143 | -29.1321428571428 |
16 | 126.8 | 155.132142857143 | -28.3321428571429 |
17 | 128.1 | 155.132142857143 | -27.0321428571429 |
18 | 128.2 | 155.132142857143 | -26.9321428571429 |
19 | 129.3 | 155.132142857143 | -25.8321428571428 |
20 | 130.6 | 155.132142857143 | -24.5321428571429 |
21 | 131.4 | 155.132142857143 | -23.7321428571428 |
22 | 131.1 | 155.132142857143 | -24.0321428571429 |
23 | 131.2 | 155.132142857143 | -23.9321428571429 |
24 | 131.2 | 155.132142857143 | -23.9321428571429 |
25 | 131.5 | 155.132142857143 | -23.6321428571428 |
26 | 133.5 | 155.132142857143 | -21.6321428571429 |
27 | 133.7 | 155.132142857143 | -21.4321428571429 |
28 | 133.5 | 155.132142857143 | -21.6321428571429 |
29 | 134 | 155.132142857143 | -21.1321428571429 |
30 | 135.9 | 155.132142857143 | -19.2321428571428 |
31 | 135.9 | 155.132142857143 | -19.2321428571428 |
32 | 137.2 | 155.132142857143 | -17.9321428571429 |
33 | 138.4 | 155.132142857143 | -16.7321428571428 |
34 | 140.9 | 155.132142857143 | -14.2321428571428 |
35 | 143 | 155.132142857143 | -12.1321428571428 |
36 | 144.1 | 155.132142857143 | -11.0321428571429 |
37 | 146.8 | 155.132142857143 | -8.33214285714284 |
38 | 149.1 | 155.132142857143 | -6.03214285714286 |
39 | 149.6 | 155.132142857143 | -5.53214285714286 |
40 | 151.2 | 155.132142857143 | -3.93214285714286 |
41 | 153.3 | 155.132142857143 | -1.83214285714284 |
42 | 156.9 | 155.132142857143 | 1.76785714285716 |
43 | 157.2 | 155.132142857143 | 2.06785714285714 |
44 | 158.5 | 155.132142857143 | 3.36785714285715 |
45 | 160 | 155.132142857143 | 4.86785714285715 |
46 | 162.5 | 155.132142857143 | 7.36785714285715 |
47 | 162.9 | 155.132142857143 | 7.76785714285716 |
48 | 164.7 | 155.132142857143 | 9.56785714285714 |
49 | 165 | 155.132142857143 | 9.86785714285715 |
50 | 167.2 | 155.132142857143 | 12.0678571428571 |
51 | 168.6 | 155.132142857143 | 13.4678571428571 |
52 | 169.5 | 155.132142857143 | 14.3678571428572 |
53 | 169.8 | 155.132142857143 | 14.6678571428572 |
54 | 171.9 | 155.132142857143 | 16.7678571428572 |
55 | 172 | 155.132142857143 | 16.8678571428572 |
56 | 173.7 | 155.132142857143 | 18.5678571428571 |
57 | 173.9 | 155.132142857143 | 18.7678571428572 |
58 | 175.9 | 155.132142857143 | 20.7678571428572 |
59 | 175.6 | 155.132142857143 | 20.4678571428571 |
60 | 176.1 | 155.132142857143 | 20.9678571428571 |
61 | 176.3 | 155.132142857143 | 21.1678571428572 |
62 | 179.4 | 155.132142857143 | 24.2678571428572 |
63 | 179.7 | 155.132142857143 | 24.5678571428571 |
64 | 179.9 | 155.132142857143 | 24.7678571428572 |
65 | 180.4 | 155.132142857143 | 25.2678571428572 |
66 | 182.5 | 155.132142857143 | 27.3678571428571 |
67 | 183.6 | 155.132142857143 | 28.4678571428571 |
68 | 183.9 | 155.132142857143 | 28.7678571428572 |
69 | 184.5 | 155.132142857143 | 29.3678571428571 |
70 | 187.6 | 155.132142857143 | 32.4678571428571 |
71 | 188 | 155.132142857143 | 32.8678571428571 |
72 | 188.5 | 155.132142857143 | 33.3678571428571 |
73 | 188.6 | 155.132142857143 | 33.4678571428571 |
74 | 191.9 | 155.132142857143 | 36.7678571428572 |
75 | 193.5 | 155.132142857143 | 38.3678571428571 |
76 | 194.9 | 155.132142857143 | 39.7678571428572 |
77 | 194.9 | 155.132142857143 | 39.7678571428572 |
78 | 196.2 | 155.132142857143 | 41.0678571428571 |
79 | 196.2 | 155.132142857143 | 41.0678571428571 |
80 | 198 | 155.132142857143 | 42.8678571428571 |
81 | 198.6 | 155.132142857143 | 43.4678571428571 |
82 | 201.3 | 155.132142857143 | 46.1678571428572 |
83 | 203.5 | 155.132142857143 | 48.3678571428571 |
84 | 204.1 | 155.132142857143 | 48.9678571428571 |
85 | 204.8 | 217.734782608696 | -12.9347826086956 |
86 | 206.5 | 217.734782608696 | -11.2347826086957 |
87 | 207.8 | 217.734782608696 | -9.93478260869565 |
88 | 208.6 | 217.734782608696 | -9.13478260869566 |
89 | 209.7 | 217.734782608696 | -8.03478260869567 |
90 | 210 | 217.734782608696 | -7.73478260869566 |
91 | 211.7 | 217.734782608696 | -6.03478260869567 |
92 | 212.4 | 217.734782608696 | -5.33478260869565 |
93 | 213.7 | 217.734782608696 | -4.03478260869567 |
94 | 214.8 | 217.734782608696 | -2.93478260869565 |
95 | 216.4 | 217.734782608696 | -1.33478260869565 |
96 | 217.5 | 217.734782608696 | -0.234782608695657 |
97 | 218.6 | 217.734782608696 | 0.865217391304337 |
98 | 220.4 | 217.734782608696 | 2.66521739130435 |
99 | 221.8 | 217.734782608696 | 4.06521739130435 |
100 | 222.5 | 217.734782608696 | 4.76521739130434 |
101 | 223.4 | 217.734782608696 | 5.66521739130435 |
102 | 225.5 | 217.734782608696 | 7.76521739130434 |
103 | 226.5 | 217.734782608696 | 8.76521739130434 |
104 | 227.8 | 217.734782608696 | 10.0652173913044 |
105 | 228.5 | 217.734782608696 | 10.7652173913043 |
106 | 229.1 | 217.734782608696 | 11.3652173913043 |
107 | 229.9 | 217.734782608696 | 12.1652173913043 |