Multiple Linear Regression - Estimated Regression Equation |
Huwelijken[t] = + 2028.02504347826 + 51.1426086956523`x `[t] -767.85843478261M1[t] -51.6608695652176M2[t] + 81.965217391304M3[t] + 1040.99130434783M4[t] + 2383.21739130435M5[t] + 2908.24347826087M6[t] + 2993.06956521739M7[t] + 3645.09565217391M8[t] + 2921.72173913043M9[t] + 825.147826086957M10[t] -333.226086956522M11[t] + 6.17391304347827t + 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) | 2028.02504347826 | 169.093278 | 11.9935 | 0 | 0 |
`x ` | 51.1426086956523 | 145.62224 | 0.3512 | 0.727041 | 0.363521 |
M1 | -767.85843478261 | 203.366082 | -3.7757 | 0.000456 | 0.000228 |
M2 | -51.6608695652176 | 204.625781 | -0.2525 | 0.801806 | 0.400903 |
M3 | 81.965217391304 | 204.055248 | 0.4017 | 0.689779 | 0.344889 |
M4 | 1040.99130434783 | 203.543415 | 5.1143 | 6e-06 | 3e-06 |
M5 | 2383.21739130435 | 203.090727 | 11.7347 | 0 | 0 |
M6 | 2908.24347826087 | 202.69758 | 14.3477 | 0 | 0 |
M7 | 2993.06956521739 | 202.36432 | 14.7905 | 0 | 0 |
M8 | 3645.09565217391 | 202.091244 | 18.0369 | 0 | 0 |
M9 | 2921.72173913043 | 201.878596 | 14.4727 | 0 | 0 |
M10 | 825.147826086957 | 201.726568 | 4.0904 | 0.000172 | 8.6e-05 |
M11 | -333.226086956522 | 201.635296 | -1.6526 | 0.105219 | 0.05261 |
t | 6.17391304347827 | 3.503127 | 1.7624 | 0.084645 | 0.042323 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.983345616767098 |
R-squared | 0.966968602015064 |
Adjusted R-squared | 0.957633641714973 |
F-TEST (value) | 103.585721945243 |
F-TEST (DF numerator) | 13 |
F-TEST (DF denominator) | 46 |
p-value | 0 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 318.765276504085 |
Sum Squared Residuals | 4674119.8692174 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 1178 | 1266.34052173913 | -88.3405217391346 |
2 | 2141 | 1988.712 | 152.288000000000 |
3 | 2238 | 2128.512 | 109.487999999999 |
4 | 2685 | 3093.712 | -408.712 |
5 | 4341 | 4442.112 | -101.111999999999 |
6 | 5376 | 4973.312 | 402.687999999999 |
7 | 4478 | 5064.312 | -586.312000000001 |
8 | 6404 | 5722.512 | 681.488000000001 |
9 | 4617 | 5005.312 | -388.312000000001 |
10 | 3024 | 2914.912 | 109.088000000001 |
11 | 1897 | 1762.712 | 134.288000000001 |
12 | 2075 | 2102.112 | -27.1119999999993 |
13 | 1351 | 1340.42747826087 | 10.5725217391319 |
14 | 2211 | 2113.94156521739 | 97.0584347826086 |
15 | 2453 | 2253.74156521739 | 199.258434782609 |
16 | 3042 | 3218.94156521739 | -176.941565217391 |
17 | 4765 | 4567.34156521739 | 197.658434782609 |
18 | 4992 | 5098.54156521739 | -106.541565217391 |
19 | 4601 | 5189.54156521739 | -588.541565217391 |
20 | 6266 | 5847.74156521739 | 418.258434782608 |
21 | 4812 | 5130.54156521739 | -318.541565217391 |
22 | 3159 | 3040.14156521739 | 118.858434782609 |
23 | 1916 | 1887.94156521739 | 28.0584347826086 |
24 | 2237 | 2227.34156521739 | 9.65843478260848 |
25 | 1595 | 1465.65704347826 | 129.342956521740 |
26 | 2453 | 2188.02852173913 | 264.971478260870 |
27 | 2226 | 2327.82852173913 | -101.828521739130 |
28 | 3597 | 3293.02852173913 | 303.971478260870 |
29 | 4706 | 4641.42852173913 | 64.5714782608694 |
30 | 4974 | 5172.62852173913 | -198.628521739130 |
31 | 5756 | 5263.62852173913 | 492.37147826087 |
32 | 5493 | 5921.82852173913 | -428.828521739131 |
33 | 5004 | 5204.62852173913 | -200.628521739130 |
34 | 3225 | 3114.22852173913 | 110.771478260869 |
35 | 2006 | 1962.02852173913 | 43.9714782608692 |
36 | 2291 | 2301.42852173913 | -10.4285217391307 |
37 | 1588 | 1539.744 | 48.2560000000009 |
38 | 2105 | 2262.11547826087 | -157.115478260870 |
39 | 2191 | 2401.91547826087 | -210.915478260870 |
40 | 3591 | 3367.11547826087 | 223.884521739130 |
41 | 4668 | 4715.51547826087 | -47.5154782608697 |
42 | 4885 | 5246.71547826087 | -361.715478260869 |
43 | 5822 | 5337.71547826087 | 484.284521739131 |
44 | 5599 | 5995.91547826087 | -396.91547826087 |
45 | 5340 | 5278.71547826087 | 61.2845217391304 |
46 | 3082 | 3188.31547826087 | -106.315478260870 |
47 | 2010 | 2036.11547826087 | -26.1154782608700 |
48 | 2301 | 2375.51547826087 | -74.5154782608699 |
49 | 1514 | 1613.83095652174 | -99.8309565217383 |
50 | 1979 | 2336.20243478261 | -357.202434782609 |
51 | 2480 | 2476.00243478261 | 3.99756521739145 |
52 | 3499 | 3441.20243478261 | 57.7975652173911 |
53 | 4676 | 4789.60243478261 | -113.602434782609 |
54 | 5585 | 5320.80243478261 | 264.197565217391 |
55 | 5610 | 5411.80243478261 | 198.197565217392 |
56 | 5796 | 6070.00243478261 | -274.002434782609 |
57 | 6199 | 5352.80243478261 | 846.197565217392 |
58 | 3030 | 3262.40243478261 | -232.402434782609 |
59 | 1930 | 2110.20243478261 | -180.202434782609 |
60 | 2552 | 2449.60243478261 | 102.397565217391 |