Multiple Linear Regression - Estimated Regression Equation |
Huwelijken[t] = + 2039.51506352087 -33.8675136116152Dummy[t] -767.591046581972M1[t] -42.7349062310934M2[t] + 89.3212341197802M3[t] + 1046.77737447066M4[t] + 2387.43351482154M5[t] + 2917.66315789474M6[t] + 3000.91929824562M7[t] + 3651.37543859649M8[t] + 2926.43157894737M9[t] + 828.287719298245M10[t] -331.656140350877M11[t] + 7.7438596491228t + 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) | 2039.51506352087 | 167.664007 | 12.1643 | 0 | 0 |
Dummy | -33.8675136116152 | 148.875468 | -0.2275 | 0.821052 | 0.410526 |
M1 | -767.591046581972 | 203.545075 | -3.7711 | 0.000463 | 0.000231 |
M2 | -42.7349062310934 | 203.215872 | -0.2103 | 0.834368 | 0.417184 |
M3 | 89.3212341197802 | 202.959456 | 0.4401 | 0.66193 | 0.330965 |
M4 | 1046.77737447066 | 202.776103 | 5.1622 | 5e-06 | 3e-06 |
M5 | 2387.43351482154 | 202.666012 | 11.7801 | 0 | 0 |
M6 | 2917.66315789474 | 203.084546 | 14.3667 | 0 | 0 |
M7 | 3000.91929824562 | 202.6812 | 14.8061 | 0 | 0 |
M8 | 3651.37543859649 | 202.350592 | 18.0448 | 0 | 0 |
M9 | 2926.43157894737 | 202.093078 | 14.4806 | 0 | 0 |
M10 | 828.287719298245 | 201.908939 | 4.1023 | 0.000165 | 8.3e-05 |
M11 | -331.656140350877 | 201.798374 | -1.6435 | 0.107098 | 0.053549 |
t | 7.7438596491228 | 3.857272 | 2.0076 | 0.050581 | 0.02529 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.983319506786941 |
R-squared | 0.966917252427713 |
Adjusted R-squared | 0.957567780287719 |
F-TEST (value) | 103.419448493946 |
F-TEST (DF numerator) | 13 |
F-TEST (DF denominator) | 46 |
p-value | 0 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 319.012951593109 |
Sum Squared Residuals | 4681386.11107077 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 1178 | 1279.66787658802 | -101.667876588022 |
2 | 2141 | 2012.26787658802 | 128.732123411979 |
3 | 2238 | 2152.06787658802 | 85.93212341198 |
4 | 2685 | 3117.26787658802 | -432.267876588023 |
5 | 4341 | 4465.66787658802 | -124.667876588015 |
6 | 5376 | 5003.64137931035 | 372.358620689652 |
7 | 4478 | 5094.64137931034 | -616.64137931034 |
8 | 6404 | 5752.84137931035 | 651.158620689654 |
9 | 4617 | 5035.64137931035 | -418.641379310348 |
10 | 3024 | 2945.24137931035 | 78.7586206896523 |
11 | 1897 | 1793.04137931035 | 103.958620689654 |
12 | 2075 | 2132.44137931034 | -57.4413793103445 |
13 | 1351 | 1372.59419237750 | -21.5941923774956 |
14 | 2211 | 2105.19419237750 | 105.805807622505 |
15 | 2453 | 2244.99419237750 | 208.005807622504 |
16 | 3042 | 3210.19419237749 | -168.194192377495 |
17 | 4765 | 4558.5941923775 | 206.405807622503 |
18 | 4992 | 5062.7001814882 | -70.7001814882028 |
19 | 4601 | 5153.7001814882 | -552.700181488204 |
20 | 6266 | 5811.9001814882 | 454.099818511798 |
21 | 4812 | 5094.7001814882 | -282.700181488202 |
22 | 3159 | 3004.30018148820 | 154.699818511797 |
23 | 1916 | 1852.10018148820 | 63.8998185117969 |
24 | 2237 | 2191.50018148820 | 45.499818511797 |
25 | 1595 | 1431.65299455535 | 163.347005444646 |
26 | 2453 | 2164.25299455535 | 288.747005444646 |
27 | 2226 | 2304.05299455535 | -78.0529945553543 |
28 | 3597 | 3269.25299455535 | 327.747005444646 |
29 | 4706 | 4617.65299455536 | 88.3470054446444 |
30 | 4974 | 5155.62649727768 | -181.626497277676 |
31 | 5756 | 5246.62649727768 | 509.373502722322 |
32 | 5493 | 5904.82649727768 | -411.826497277677 |
33 | 5004 | 5187.62649727768 | -183.626497277676 |
34 | 3225 | 3097.22649727768 | 127.773502722324 |
35 | 2006 | 1945.02649727768 | 60.9735027223232 |
36 | 2291 | 2284.42649727768 | 6.57350272232332 |
37 | 1588 | 1524.57931034483 | 63.4206896551723 |
38 | 2105 | 2257.17931034483 | -152.179310344828 |
39 | 2191 | 2396.97931034483 | -205.979310344828 |
40 | 3591 | 3362.17931034483 | 228.820689655173 |
41 | 4668 | 4710.57931034483 | -42.5793103448292 |
42 | 4885 | 5248.55281306715 | -363.55281306715 |
43 | 5822 | 5339.55281306715 | 482.447186932848 |
44 | 5599 | 5997.75281306715 | -398.75281306715 |
45 | 5340 | 5280.55281306715 | 59.4471869328502 |
46 | 3082 | 3190.15281306715 | -108.15281306715 |
47 | 2010 | 2037.95281306715 | -27.9528130671504 |
48 | 2301 | 2377.35281306715 | -76.3528130671503 |
49 | 1514 | 1617.5056261343 | -103.505626134301 |
50 | 1979 | 2350.1056261343 | -371.105626134301 |
51 | 2480 | 2489.9056261343 | -9.90562613430169 |
52 | 3499 | 3455.1056261343 | 43.8943738656991 |
53 | 4676 | 4803.5056261343 | -127.505626134303 |
54 | 5585 | 5341.47912885662 | 243.520871143376 |
55 | 5610 | 5432.47912885663 | 177.520871143374 |
56 | 5796 | 6090.67912885662 | -294.679128856624 |
57 | 6199 | 5373.47912885662 | 825.520871143377 |
58 | 3030 | 3283.07912885662 | -253.079128856624 |
59 | 1930 | 2130.87912885662 | -200.879128856624 |
60 | 2552 | 2470.27912885662 | 81.720871143376 |