Multiple Linear Regression - Estimated Regression Equation |
Totaal[t] = + 58274.0716935709 + 1.85595409215134`vrouwen `[t] -1074.75162536165t + 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) | 58274.0716935709 | 22760.081464 | 2.5604 | 0.01373 | 0.006865 |
`vrouwen ` | 1.85595409215134 | 0.083518 | 22.2221 | 0 | 0 |
t | -1074.75162536165 | 98.715181 | -10.8874 | 0 | 0 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.959318170134875 |
R-squared | 0.920291351550926 |
Adjusted R-squared | 0.916899494170114 |
F-TEST (value) | 271.323716839386 |
F-TEST (DF numerator) | 2 |
F-TEST (DF denominator) | 47 |
p-value | 0 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 9907.2855273743 |
Sum Squared Residuals | 4613252406.48324 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 563668 | 570266.693118893 | -6598.69311889312 |
2 | 586111 | 593872.41901096 | -7761.41901095998 |
3 | 604378 | 618749.47345615 | -14371.4734561504 |
4 | 600991 | 607615.450651329 | -6624.45065132856 |
5 | 544686 | 548059.585582278 | -3373.5855822783 |
6 | 537034 | 533440.080992396 | 3593.9190076038 |
7 | 551531 | 544709.280033933 | 6821.71996606691 |
8 | 563250 | 552708.287965099 | 10541.7120349007 |
9 | 574761 | 561288.209527109 | 13472.7904728911 |
10 | 580112 | 566601.651886932 | 13510.3481130678 |
11 | 575093 | 561495.767973418 | 13597.2320265822 |
12 | 557560 | 548554.04588284 | 9005.95411715947 |
13 | 564478 | 556363.746496607 | 8114.25350339268 |
14 | 580523 | 576302.107102583 | 4220.8928974169 |
15 | 596594 | 600262.320226251 | -3668.32022625083 |
16 | 586570 | 586468.715207376 | 101.284792623924 |
17 | 536214 | 530385.340244741 | 5828.65975525903 |
18 | 523597 | 514362.734361192 | 9234.26563880754 |
19 | 536535 | 525175.36869606 | 11359.6313039399 |
20 | 536322 | 525407.208751573 | 10914.791248427 |
21 | 532638 | 526216.250529745 | 6421.74947025503 |
22 | 528222 | 524421.388716629 | 3800.6112833714 |
23 | 516141 | 516800.687008249 | -659.687008249191 |
24 | 501866 | 506867.466501049 | -5001.46650104921 |
25 | 506174 | 515950.351622032 | -9776.35162203183 |
26 | 517945 | 533249.545508968 | -15304.5455089684 |
27 | 533590 | 558679.67427362 | -25089.67427362 |
28 | 528379 | 548674.071556826 | -20295.0715568261 |
29 | 477580 | 492470.059578201 | -14890.0595782012 |
30 | 469357 | 478518.698461494 | -9161.69846149355 |
31 | 490243 | 494806.397368208 | -4563.39736820765 |
32 | 492622 | 498156.240298535 | -5534.24029853479 |
33 | 507561 | 510036.04823639 | -2475.04823638946 |
34 | 516922 | 519835.331636943 | -2913.33163694249 |
35 | 514258 | 516481.468386419 | -2223.468386419 |
36 | 509846 | 514053.726227879 | -4207.72622787903 |
37 | 527070 | 531544.083386307 | -4474.08338630719 |
38 | 541657 | 550081.198652709 | -8424.19865270872 |
39 | 564591 | 579822.708773428 | -15231.7087734279 |
40 | 555362 | 566142.316954174 | -10780.3169541743 |
41 | 498662 | 502863.407976268 | -4201.4079762685 |
42 | 511038 | 504927.074720735 | 6110.92527926525 |
43 | 525919 | 517929.734884341 | 7989.26511565901 |
44 | 531673 | 524109.907805199 | 7563.09219480108 |
45 | 548854 | 538259.547597755 | 10594.4524022453 |
46 | 560576 | 549924.06486092 | 10651.9351390802 |
47 | 557274 | 548609.895157671 | 8664.10484232937 |
48 | 565742 | 555892.504809266 | 9849.49519073355 |
49 | 587625 | 579321.915062579 | 8303.08493742112 |
50 | 619916 | 612576.74627974 | 7339.25372025949 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
6 | 0.0355707952316873 | 0.0711415904633745 | 0.964429204768313 |
7 | 0.020387770626767 | 0.0407755412535341 | 0.979612229373233 |
8 | 0.0149712561213209 | 0.0299425122426417 | 0.98502874387868 |
9 | 0.00920545442692068 | 0.0184109088538414 | 0.99079454557308 |
10 | 0.00338652662324117 | 0.00677305324648234 | 0.99661347337676 |
11 | 0.00143224059660558 | 0.00286448119321117 | 0.998567759403394 |
12 | 0.00483029515130093 | 0.00966059030260185 | 0.9951697048487 |
13 | 0.00773481474243434 | 0.0154696294848687 | 0.992265185257566 |
14 | 0.0101142502436436 | 0.0202285004872871 | 0.989885749756356 |
15 | 0.01402052428391 | 0.0280410485678199 | 0.98597947571609 |
16 | 0.0108897631304216 | 0.0217795262608433 | 0.989110236869578 |
17 | 0.0222669623602285 | 0.0445339247204571 | 0.977733037639771 |
18 | 0.0305177119701311 | 0.0610354239402621 | 0.969482288029869 |
19 | 0.0394857906495533 | 0.0789715812991065 | 0.960514209350447 |
20 | 0.0755822748884553 | 0.151164549776911 | 0.924417725111545 |
21 | 0.18810681920187 | 0.37621363840374 | 0.81189318079813 |
22 | 0.504124286928236 | 0.991751426143528 | 0.495875713071764 |
23 | 0.878516971627668 | 0.242966056744663 | 0.121483028372332 |
24 | 0.986407583684718 | 0.027184832630564 | 0.013592416315282 |
25 | 0.998391418633231 | 0.00321716273353739 | 0.0016085813667687 |
26 | 0.999597122502321 | 0.00080575499535742 | 0.00040287749767871 |
27 | 0.99975636351669 | 0.000487272966621689 | 0.000243636483310844 |
28 | 0.999640398126031 | 0.000719203747937394 | 0.000359601873968697 |
29 | 0.999676888387396 | 0.000646223225208974 | 0.000323111612604487 |
30 | 0.999441734075011 | 0.00111653184997736 | 0.00055826592498868 |
31 | 0.99896515214126 | 0.00206969571747882 | 0.00103484785873941 |
32 | 0.997817212989563 | 0.00436557402087303 | 0.00218278701043652 |
33 | 0.997854654292603 | 0.00429069141479326 | 0.00214534570739663 |
34 | 0.998529914337692 | 0.00294017132461553 | 0.00147008566230776 |
35 | 0.99916782514193 | 0.00166434971613797 | 0.000832174858068985 |
36 | 0.998765220720859 | 0.00246955855828282 | 0.00123477927914141 |
37 | 0.999057070402245 | 0.00188585919551019 | 0.000942929597755093 |
38 | 0.9985750623998 | 0.00284987520040126 | 0.00142493760020063 |
39 | 0.995876330772892 | 0.00824733845421523 | 0.00412366922710761 |
40 | 0.988980963620341 | 0.0220380727593173 | 0.0110190363796587 |
41 | 0.99978548000632 | 0.000429039987361776 | 0.000214519993680888 |
42 | 0.999594824934225 | 0.000810350131549287 | 0.000405175065774644 |
43 | 0.998299947057144 | 0.00340010588571181 | 0.00170005294285591 |
44 | 0.999097394539874 | 0.00180521092025243 | 0.000902605460126216 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 22 | 0.564102564102564 | NOK |
5% type I error level | 32 | 0.82051282051282 | NOK |
10% type I error level | 35 | 0.897435897435897 | NOK |