Multiple Linear Regression - Estimated Regression Equation |
y[t] = + 14459.5894260997 -381.304728660039x[t] + 97.2643755443243t + 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) | 14459.5894260997 | 344.914597 | 41.9222 | 0 | 0 |
x | -381.304728660039 | 459.873859 | -0.8292 | 0.410419 | 0.205209 |
t | 97.2643755443243 | 12.409883 | 7.8377 | 0 | 0 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.781363387391381 |
R-squared | 0.610528743155733 |
Adjusted R-squared | 0.597098699816276 |
F-TEST (value) | 45.4599235254885 |
F-TEST (DF numerator) | 2 |
F-TEST (DF denominator) | 58 |
p-value | 1.32982513889601e-12 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 1312.88925657213 |
Sum Squared Residuals | 99973335.601307 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 15761.3 | 14556.8538016441 | 1204.44619835593 |
2 | 16943 | 14654.1181771884 | 2288.88182281161 |
3 | 15070.3 | 14751.3825527327 | 318.917447267284 |
4 | 13659.6 | 14848.6469282770 | -1189.04692827704 |
5 | 14768.9 | 14945.9113038214 | -177.011303821364 |
6 | 14725.1 | 15043.1756793657 | -318.075679365688 |
7 | 15998.1 | 15140.44005491 | 857.659945089988 |
8 | 15370.6 | 15237.7044304543 | 132.895569545664 |
9 | 14956.9 | 15334.9688059987 | -378.068805998662 |
10 | 15469.7 | 15432.233181543 | 37.4668184570153 |
11 | 15101.8 | 15529.4975570873 | -427.697557087310 |
12 | 11703.7 | 15626.7619326316 | -3923.06193263163 |
13 | 16283.6 | 15724.0263081760 | 559.573691824042 |
14 | 16726.5 | 15821.2906837203 | 905.209316279717 |
15 | 14968.9 | 15918.5550592646 | -949.655059264607 |
16 | 14861 | 15634.5147061489 | -773.514706148892 |
17 | 14583.3 | 15731.7790816932 | -1148.47908169322 |
18 | 15305.8 | 15829.0434572375 | -523.243457237541 |
19 | 17903.9 | 15926.3078327819 | 1977.59216721814 |
20 | 16379.4 | 16404.8769369862 | -25.476936986229 |
21 | 15420.3 | 16502.1413125306 | -1081.84131253055 |
22 | 17870.5 | 16218.1009594148 | 1652.39904058516 |
23 | 15912.8 | 16315.3653349592 | -402.565334959163 |
24 | 13866.5 | 16412.6297105035 | -2546.12971050349 |
25 | 17823.2 | 16509.8940860478 | 1313.30591395219 |
26 | 17872 | 16607.1584615921 | 1264.84153840787 |
27 | 17420.4 | 16704.4228371365 | 715.977162863542 |
28 | 16704.4 | 16801.6872126808 | -97.2872126807823 |
29 | 15991.2 | 16898.9515882251 | -907.751588225107 |
30 | 16583.6 | 16996.2159637694 | -412.615963769434 |
31 | 19123.5 | 17093.4803393138 | 2030.01966068624 |
32 | 17838.7 | 17190.7447148581 | 647.95528514192 |
33 | 17209.4 | 17288.0090904024 | -78.609090402404 |
34 | 18586.5 | 17385.2734659467 | 1201.22653405327 |
35 | 16258.1 | 17482.5378414911 | -1224.43784149105 |
36 | 15141.6 | 17579.8022170354 | -2438.20221703538 |
37 | 19202.1 | 17677.0665925797 | 1525.03340742030 |
38 | 17746.5 | 17774.3309681240 | -27.8309681240271 |
39 | 19090.1 | 18252.9000723284 | 837.199927671607 |
40 | 18040.3 | 18350.1644478727 | -309.864447872716 |
41 | 17515.5 | 18066.124094757 | -550.624094757 |
42 | 17751.8 | 18544.6931989614 | -792.893198961365 |
43 | 21072.4 | 18641.9575745057 | 2430.44242549431 |
44 | 17170 | 18357.9172213900 | -1187.91722138997 |
45 | 19439.5 | 18455.1815969343 | 984.318403065702 |
46 | 19795.4 | 18552.4459724786 | 1242.95402752138 |
47 | 17574.9 | 18649.7103480229 | -1074.81034802294 |
48 | 16165.4 | 18746.9747235673 | -2581.57472356727 |
49 | 19464.6 | 18844.2390991116 | 620.360900888404 |
50 | 19932.1 | 18941.5034746559 | 990.59652534408 |
51 | 19961.2 | 19038.7678502002 | 922.432149799757 |
52 | 17343.4 | 19136.0322257446 | -1792.63222574457 |
53 | 18924.2 | 19233.2966012889 | -309.096601288891 |
54 | 18574.1 | 19330.5609768332 | -756.460976833218 |
55 | 21350.6 | 19427.8253523775 | 1922.77464762246 |
56 | 18840.1 | 19525.0897279219 | -684.989727921866 |
57 | 20304.8 | 19622.3541034662 | 682.44589653381 |
58 | 21132.4 | 19719.6184790105 | 1412.78152098949 |
59 | 19753.9 | 19816.8828545548 | -62.9828545548366 |
60 | 18009.9 | 19914.1472300992 | -1904.24723009916 |
61 | 20390.4 | 20011.4116056435 | 378.988394356515 |