Multiple Linear Regression - Estimated Regression Equation |
y[t] = + 498.337442925548 + 30.0901376736558x[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) | 498.337442925548 | 18.395266 | 27.0905 | 0 | 0 |
x | 30.0901376736558 | 8.816647 | 3.4129 | 0.001178 | 0.000589 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.408947204637615 |
R-squared | 0.167237816180920 |
Adjusted R-squared | 0.152879847494384 |
F-TEST (value) | 11.6477351241019 |
F-TEST (DF numerator) | 1 |
F-TEST (DF denominator) | 58 |
p-value | 0.00117789228039977 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 43.1762204039982 |
Sum Squared Residuals | 108122.788485729 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 476 | 585.598842179148 | -109.598842179148 |
2 | 475 | 576.571800877053 | -101.571800877053 |
3 | 470 | 579.580814644418 | -109.580814644418 |
4 | 461 | 552.499690738128 | -91.4996907381282 |
5 | 455 | 537.4546219013 | -82.4546219013003 |
6 | 456 | 525.418566831838 | -69.418566831838 |
7 | 517 | 537.4546219013 | -20.4546219013003 |
8 | 525 | 537.4546219013 | -12.4546219013003 |
9 | 523 | 537.4546219013 | -14.4546219013003 |
10 | 519 | 537.4546219013 | -18.4546219013003 |
11 | 509 | 531.436594366569 | -22.4365943665691 |
12 | 512 | 540.463635668666 | -28.4636356686658 |
13 | 519 | 534.445608133935 | -15.4456081339347 |
14 | 517 | 549.490676970763 | -32.4906769707626 |
15 | 510 | 552.499690738128 | -42.4996907381282 |
16 | 509 | 543.472649436031 | -34.4726494360314 |
17 | 501 | 528.427580599204 | -27.4275805992035 |
18 | 507 | 546.481663203397 | -39.481663203397 |
19 | 569 | 543.472649436031 | 25.5273505639686 |
20 | 580 | 552.499690738128 | 27.5003092618718 |
21 | 578 | 552.499690738128 | 25.5003092618718 |
22 | 565 | 546.481663203397 | 18.518336796603 |
23 | 547 | 555.508704505494 | -8.50870450549375 |
24 | 555 | 549.490676970763 | 5.50932302923741 |
25 | 562 | 546.481663203397 | 15.518336796603 |
26 | 561 | 537.4546219013 | 23.5453780986997 |
27 | 555 | 531.436594366569 | 23.5634056334309 |
28 | 544 | 555.508704505494 | -11.5087045054938 |
29 | 537 | 576.571800877053 | -39.5718008770528 |
30 | 543 | 567.544759574956 | -24.5447595749561 |
31 | 594 | 570.553773342322 | 23.4462266576783 |
32 | 611 | 564.53574580759 | 46.4642541924095 |
33 | 613 | 558.517718272859 | 54.4822817271407 |
34 | 611 | 585.59884217915 | 25.4011578208504 |
35 | 594 | 576.571800877053 | 17.4281991229472 |
36 | 595 | 567.544759574956 | 27.4552404250439 |
37 | 591 | 567.544759574956 | 23.4552404250439 |
38 | 589 | 576.571800877053 | 12.4281991229472 |
39 | 584 | 591.616869713881 | -7.61686971388073 |
40 | 573 | 582.589828411784 | -9.58982841178397 |
41 | 567 | 573.562787109687 | -6.56278710968724 |
42 | 569 | 585.59884217915 | -16.5988421791496 |
43 | 621 | 591.616869713881 | 29.3831302861193 |
44 | 629 | 591.616869713881 | 37.3831302861193 |
45 | 628 | 594.625883481246 | 33.3741165187537 |
46 | 612 | 573.562787109687 | 38.4372128903128 |
47 | 595 | 576.571800877053 | 18.4281991229472 |
48 | 597 | 585.59884217915 | 11.4011578208504 |
49 | 593 | 576.571800877053 | 16.4281991229472 |
50 | 590 | 570.553773342322 | 19.4462266576783 |
51 | 580 | 549.490676970763 | 30.5093230292374 |
52 | 574 | 558.517718272859 | 15.4822817271407 |
53 | 573 | 564.53574580759 | 8.4642541924095 |
54 | 573 | 555.508704505494 | 17.4912954945062 |
55 | 620 | 546.481663203397 | 73.518336796603 |
56 | 626 | 546.481663203397 | 79.518336796603 |
57 | 620 | 534.445608133935 | 85.5543918660653 |
58 | 588 | 534.445608133935 | 53.5543918660653 |
59 | 566 | 543.472649436031 | 22.5273505639686 |
60 | 557 | 546.481663203397 | 10.518336796603 |