Multiple Linear Regression - Estimated Regression Equation |
y[t] = + 104.805040713455 + 8.11457929430014x[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) | 104.805040713455 | 2.251438 | 46.5503 | 0 | 0 |
x | 8.11457929430014 | 1.318307 | 6.1553 | 0 | 0 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.62859047461288 |
R-squared | 0.395125984774045 |
Adjusted R-squared | 0.384697122442563 |
F-TEST (value) | 37.8877361897150 |
F-TEST (DF numerator) | 1 |
F-TEST (DF denominator) | 58 |
p-value | 7.54743660902335e-08 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 8.64304404088527 |
Sum Squared Residuals | 4332.72819697558 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 99.9 | 104.805040713455 | -4.90504071345533 |
2 | 98.2 | 104.805040713455 | -6.60504071345484 |
3 | 104.5 | 104.805040713455 | -0.305040713454791 |
4 | 100.8 | 104.805040713455 | -4.00504071345479 |
5 | 101.5 | 104.805040713455 | -3.30504071345479 |
6 | 103.9 | 104.805040713455 | -0.905040713454786 |
7 | 99.6 | 104.805040713455 | -5.2050407134548 |
8 | 98.4 | 104.805040713455 | -6.40504071345479 |
9 | 112.7 | 104.805040713455 | 7.89495928654521 |
10 | 118.4 | 104.805040713455 | 13.5949592865452 |
11 | 108.1 | 104.805040713455 | 3.2949592865452 |
12 | 105.4 | 104.805040713455 | 0.594959286545214 |
13 | 114.6 | 104.805040713455 | 9.7949592865452 |
14 | 106.9 | 104.805040713455 | 2.09495928654521 |
15 | 115.9 | 112.919620007755 | 2.98037999224508 |
16 | 109.8 | 112.919620007755 | -3.11962000775493 |
17 | 101.8 | 112.919620007755 | -11.1196200077549 |
18 | 114.2 | 121.034199302055 | -6.83419930205506 |
19 | 110.8 | 121.034199302055 | -10.2341993020551 |
20 | 108.4 | 121.034199302055 | -12.6341993020551 |
21 | 127.5 | 121.034199302055 | 6.46580069794494 |
22 | 128.6 | 121.034199302055 | 7.56580069794493 |
23 | 116.6 | 121.034199302055 | -4.43419930205507 |
24 | 127.4 | 121.034199302055 | 6.36580069794495 |
25 | 105 | 121.034199302055 | -16.0341993020551 |
26 | 108.3 | 121.034199302055 | -12.7341993020551 |
27 | 125 | 121.034199302055 | 3.96580069794494 |
28 | 111.6 | 121.034199302055 | -9.43419930205507 |
29 | 106.5 | 121.034199302055 | -14.5341993020551 |
30 | 130.3 | 121.034199302055 | 9.26580069794495 |
31 | 115 | 121.034199302055 | -6.03419930205506 |
32 | 116.1 | 121.034199302055 | -4.93419930205507 |
33 | 134 | 121.034199302055 | 12.9658006979449 |
34 | 126.5 | 121.034199302055 | 5.46580069794494 |
35 | 125.8 | 121.034199302055 | 4.76580069794494 |
36 | 136.4 | 121.034199302055 | 15.3658006979449 |
37 | 114.9 | 121.034199302055 | -6.13419930205505 |
38 | 110.9 | 121.034199302055 | -10.1341993020551 |
39 | 125.5 | 121.034199302055 | 4.46580069794494 |
40 | 116.8 | 121.034199302055 | -4.23419930205506 |
41 | 116.8 | 121.034199302055 | -4.23419930205506 |
42 | 125.5 | 121.034199302055 | 4.46580069794494 |
43 | 104.2 | 121.034199302055 | -16.8341993020551 |
44 | 115.1 | 121.034199302055 | -5.93419930205507 |
45 | 132.8 | 121.034199302055 | 11.7658006979450 |
46 | 123.3 | 121.034199302055 | 2.26580069794494 |
47 | 124.8 | 121.034199302055 | 3.76580069794494 |
48 | 122 | 121.034199302055 | 0.96580069794494 |
49 | 117.4 | 121.034199302055 | -3.63419930205505 |
50 | 117.9 | 121.034199302055 | -3.13419930205505 |
51 | 137.4 | 121.034199302055 | 16.3658006979449 |
52 | 114.6 | 121.034199302055 | -6.43419930205507 |
53 | 124.7 | 121.034199302055 | 3.66580069794494 |
54 | 129.6 | 121.034199302055 | 8.56580069794493 |
55 | 109.4 | 121.034199302055 | -11.6341993020551 |
56 | 120.9 | 121.034199302055 | -0.134199302055055 |
57 | 134.9 | 121.034199302055 | 13.8658006979449 |
58 | 136.3 | 121.034199302055 | 15.2658006979450 |
59 | 133.2 | 121.034199302055 | 12.1658006979449 |
60 | 127.2 | 121.034199302055 | 6.16580069794494 |