Multiple Linear Regression - Estimated Regression Equation |
y[t] = + 104.252941176471 + 8.92531969309463x[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) | 104.252941176471 | 2.146267 | 48.5741 | 0 | 0 |
x | 8.92531969309463 | 2.830414 | 3.1534 | 0.002292 | 0.001146 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.336257132538942 |
R-squared | 0.113068859183312 |
Adjusted R-squared | 0.101697947121559 |
F-TEST (value) | 9.94369304496108 |
F-TEST (DF numerator) | 1 |
F-TEST (DF denominator) | 78 |
p-value | 0.00229171634194392 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 12.5147825240803 |
Sum Squared Residuals | 12216.3429667519 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 97.3 | 104.252941176471 | -6.95294117647088 |
2 | 101 | 104.252941176471 | -3.25294117647057 |
3 | 113.2 | 104.252941176471 | 8.94705882352942 |
4 | 101 | 104.252941176471 | -3.25294117647058 |
5 | 105.7 | 104.252941176471 | 1.44705882352942 |
6 | 113.9 | 104.252941176471 | 9.64705882352943 |
7 | 86.4 | 104.252941176471 | -17.8529411764706 |
8 | 96.5 | 104.252941176471 | -7.75294117647058 |
9 | 103.3 | 104.252941176471 | -0.952941176470584 |
10 | 114.9 | 104.252941176471 | 10.6470588235294 |
11 | 105.8 | 104.252941176471 | 1.54705882352942 |
12 | 94.2 | 104.252941176471 | -10.0529411764706 |
13 | 98.4 | 104.252941176471 | -5.85294117647058 |
14 | 99.4 | 104.252941176471 | -4.85294117647058 |
15 | 108.8 | 104.252941176471 | 4.54705882352942 |
16 | 112.6 | 104.252941176471 | 8.34705882352941 |
17 | 104.4 | 104.252941176471 | 0.147058823529425 |
18 | 112.2 | 104.252941176471 | 7.94705882352942 |
19 | 81.1 | 104.252941176471 | -23.1529411764706 |
20 | 97.1 | 104.252941176471 | -7.15294117647059 |
21 | 112.6 | 104.252941176471 | 8.34705882352941 |
22 | 113.8 | 104.252941176471 | 9.54705882352942 |
23 | 107.8 | 104.252941176471 | 3.54705882352942 |
24 | 103.2 | 104.252941176471 | -1.05294117647058 |
25 | 103.3 | 104.252941176471 | -0.952941176470584 |
26 | 101.2 | 104.252941176471 | -3.05294117647058 |
27 | 107.7 | 104.252941176471 | 3.44705882352942 |
28 | 110.4 | 104.252941176471 | 6.14705882352942 |
29 | 101.9 | 104.252941176471 | -2.35294117647058 |
30 | 115.9 | 104.252941176471 | 11.6470588235294 |
31 | 89.9 | 104.252941176471 | -14.3529411764706 |
32 | 88.6 | 104.252941176471 | -15.6529411764706 |
33 | 117.2 | 104.252941176471 | 12.9470588235294 |
34 | 123.9 | 104.252941176471 | 19.6470588235294 |
35 | 100 | 113.178260869565 | -13.1782608695652 |
36 | 103.6 | 113.178260869565 | -9.57826086956522 |
37 | 94.1 | 113.178260869565 | -19.0782608695652 |
38 | 98.7 | 113.178260869565 | -14.4782608695652 |
39 | 119.5 | 113.178260869565 | 6.32173913043478 |
40 | 112.7 | 113.178260869565 | -0.478260869565215 |
41 | 104.4 | 113.178260869565 | -8.77826086956521 |
42 | 124.7 | 113.178260869565 | 11.5217391304348 |
43 | 89.1 | 113.178260869565 | -24.0782608695652 |
44 | 97 | 113.178260869565 | -16.1782608695652 |
45 | 121.6 | 113.178260869565 | 8.42173913043478 |
46 | 118.8 | 113.178260869565 | 5.62173913043478 |
47 | 114 | 113.178260869565 | 0.821739130434782 |
48 | 111.5 | 113.178260869565 | -1.67826086956522 |
49 | 97.2 | 113.178260869565 | -15.9782608695652 |
50 | 102.5 | 113.178260869565 | -10.6782608695652 |
51 | 113.4 | 113.178260869565 | 0.221739130434788 |
52 | 109.8 | 113.178260869565 | -3.37826086956522 |
53 | 104.9 | 113.178260869565 | -8.27826086956521 |
54 | 126.1 | 113.178260869565 | 12.9217391304348 |
55 | 80 | 113.178260869565 | -33.1782608695652 |
56 | 96.8 | 113.178260869565 | -16.3782608695652 |
57 | 117.2 | 113.178260869565 | 4.02173913043479 |
58 | 112.3 | 113.178260869565 | -0.87826086956522 |
59 | 117.3 | 113.178260869565 | 4.12173913043478 |
60 | 111.1 | 113.178260869565 | -2.07826086956522 |
61 | 102.2 | 113.178260869565 | -10.9782608695652 |
62 | 104.3 | 113.178260869565 | -8.87826086956522 |
63 | 122.9 | 113.178260869565 | 9.72173913043479 |
64 | 107.6 | 113.178260869565 | -5.57826086956522 |
65 | 121.3 | 113.178260869565 | 8.12173913043478 |
66 | 131.5 | 113.178260869565 | 18.3217391304348 |
67 | 89 | 113.178260869565 | -24.1782608695652 |
68 | 104.4 | 113.178260869565 | -8.77826086956521 |
69 | 128.9 | 113.178260869565 | 15.7217391304348 |
70 | 135.9 | 113.178260869565 | 22.7217391304348 |
71 | 133.3 | 113.178260869565 | 20.1217391304348 |
72 | 121.3 | 113.178260869565 | 8.12173913043478 |
73 | 120.5 | 113.178260869565 | 7.32173913043478 |
74 | 120.4 | 113.178260869565 | 7.22173913043479 |
75 | 137.9 | 113.178260869565 | 24.7217391304348 |
76 | 126.1 | 113.178260869565 | 12.9217391304348 |
77 | 133.2 | 113.178260869565 | 20.0217391304348 |
78 | 146.6 | 113.178260869565 | 33.4217391304348 |
79 | 103.4 | 113.178260869565 | -9.77826086956521 |
80 | 117.2 | 113.178260869565 | 4.02173913043479 |