Multiple Linear Regression - Estimated Regression Equation |
Uitkomst[t] = + 0.185303968656867 + 0.0711269695700534Weken[t] -0.0671051681541314GebruikLimieten[t] -0.0397315280184394Review[t] + 0.0573116309063332GebruikStatistiek[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) | 0.185303968656867 | 0.136703 | 1.3555 | 0.177302 | 0.088651 |
Weken | 0.0711269695700534 | 0.040183 | 1.7701 | 0.07876 | 0.03938 |
GebruikLimieten | -0.0671051681541314 | 0.086413 | -0.7766 | 0.438648 | 0.219324 |
Review | -0.0397315280184394 | 0.094539 | -0.4203 | 0.674897 | 0.337449 |
GebruikStatistiek | 0.0573116309063332 | 0.066008 | 0.8682 | 0.386655 | 0.193328 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.185104513165963 |
R-squared | 0.0342636807944081 |
Adjusted R-squared | 0.00833787356741245 |
F-TEST (value) | 1.32160516717606 |
F-TEST (DF numerator) | 4 |
F-TEST (DF denominator) | 149 |
p-value | 0.264554271046526 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 0.488632308709574 |
Sum Squared Residuals | 35.5754684341125 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 1 | 0.36297515076451 | 0.63702484923549 |
2 | 0 | 0.46981184693708 | -0.46981184693708 |
3 | 0 | 0.469811846937081 | -0.469811846937081 |
4 | 0 | 0.469811846937081 | -0.469811846937081 |
5 | 0 | 0.469811846937081 | -0.469811846937081 |
6 | 1 | 0.402706678782949 | 0.597293321217051 |
7 | 0 | 0.469811846937081 | -0.469811846937081 |
8 | 0 | 0.430080318918641 | -0.430080318918641 |
9 | 1 | 0.469811846937081 | 0.530188153062919 |
10 | 0 | 0.402706678782949 | -0.402706678782949 |
11 | 0 | 0.36297515076451 | -0.36297515076451 |
12 | 0 | 0.469811846937081 | -0.469811846937081 |
13 | 0 | 0.527123477843414 | -0.527123477843414 |
14 | 0 | 0.36297515076451 | -0.36297515076451 |
15 | 1 | 0.527123477843414 | 0.472876522156586 |
16 | 1 | 0.487391949824974 | 0.512608050175026 |
17 | 0 | 0.477598412577176 | -0.477598412577176 |
18 | 0 | 0.36297515076451 | -0.36297515076451 |
19 | 1 | 0.469811846937081 | 0.530188153062919 |
20 | 1 | 0.544703580731308 | 0.455296419268692 |
21 | 0 | 0.402706678782949 | -0.402706678782949 |
22 | 1 | 0.460018309689282 | 0.539981690310718 |
23 | 1 | 0.469811846937081 | 0.530188153062919 |
24 | 1 | 0.402706678782949 | 0.597293321217051 |
25 | 1 | 0.487391949824974 | 0.512608050175026 |
26 | 0 | 0.527123477843414 | -0.527123477843414 |
27 | 1 | 0.402706678782949 | 0.597293321217051 |
28 | 0 | 0.527123477843414 | -0.527123477843414 |
29 | 1 | 0.469811846937081 | 0.530188153062919 |
30 | 0 | 0.469811846937081 | -0.469811846937081 |
31 | 0 | 0.469811846937081 | -0.469811846937081 |
32 | 0 | 0.402706678782949 | -0.402706678782949 |
33 | 0 | 0.402706678782949 | -0.402706678782949 |
34 | 1 | 0.430080318918641 | 0.569919681081359 |
35 | 0 | 0.469811846937081 | -0.469811846937081 |
36 | 0 | 0.469811846937081 | -0.469811846937081 |
37 | 0 | 0.420286781670843 | -0.420286781670843 |
38 | 1 | 0.527123477843414 | 0.472876522156586 |
39 | 1 | 0.469811846937081 | 0.530188153062919 |
40 | 0 | 0.430080318918641 | -0.430080318918641 |
41 | 1 | 0.584435108749747 | 0.415564891250253 |
42 | 1 | 0.527123477843414 | 0.472876522156586 |
43 | 1 | 0.402706678782949 | 0.597293321217051 |
44 | 0 | 0.36297515076451 | -0.36297515076451 |
45 | 0 | 0.469811846937081 | -0.469811846937081 |
46 | 1 | 0.469811846937081 | 0.530188153062919 |
47 | 0 | 0.469811846937081 | -0.469811846937081 |
48 | 1 | 0.469811846937081 | 0.530188153062919 |
49 | 1 | 0.469811846937081 | 0.530188153062919 |
50 | 0 | 0.469811846937081 | -0.469811846937081 |
51 | 0 | 0.487391949824974 | -0.487391949824974 |
52 | 0 | 0.477598412577176 | -0.477598412577176 |
53 | 1 | 0.469811846937081 | 0.530188153062919 |
54 | 0 | 0.584435108749747 | -0.584435108749747 |
55 | 0 | 0.469811846937081 | -0.469811846937081 |
56 | 1 | 0.487391949824974 | 0.512608050175026 |
57 | 1 | 0.527123477843414 | 0.472876522156586 |
58 | 1 | 0.469811846937081 | 0.530188153062919 |
59 | 1 | 0.469811846937081 | 0.530188153062919 |
60 | 1 | 0.477598412577176 | 0.522401587422824 |
61 | 1 | 0.36297515076451 | 0.63702484923549 |
62 | 0 | 0.527123477843414 | -0.527123477843414 |
63 | 0 | 0.469811846937081 | -0.469811846937081 |
64 | 1 | 0.36297515076451 | 0.63702484923549 |
65 | 0 | 0.469811846937081 | -0.469811846937081 |
66 | 0 | 0.469811846937081 | -0.469811846937081 |
67 | 0 | 0.544703580731307 | -0.544703580731307 |
68 | 0 | 0.402706678782949 | -0.402706678782949 |
69 | 1 | 0.469811846937081 | 0.530188153062919 |
70 | 0 | 0.527123477843414 | -0.527123477843414 |
71 | 0 | 0.469811846937081 | -0.469811846937081 |
72 | 1 | 0.469811846937081 | 0.530188153062919 |
73 | 1 | 0.527123477843414 | 0.472876522156586 |
74 | 0 | 0.460018309689282 | -0.460018309689282 |
75 | 1 | 0.469811846937081 | 0.530188153062919 |
76 | 1 | 0.430080318918641 | 0.569919681081359 |
77 | 1 | 0.469811846937081 | 0.530188153062919 |
78 | 1 | 0.527123477843414 | 0.472876522156586 |
79 | 1 | 0.544703580731308 | 0.455296419268692 |
80 | 0 | 0.430080318918641 | -0.430080318918641 |
81 | 0 | 0.469811846937081 | -0.469811846937081 |
82 | 1 | 0.460018309689282 | 0.539981690310718 |
83 | 0 | 0.469811846937081 | -0.469811846937081 |
84 | 0 | 0.584435108749747 | -0.584435108749747 |
85 | 1 | 0.469811846937081 | 0.530188153062919 |
86 | 0 | 0.402706678782949 | -0.402706678782949 |
87 | 1 | 0.260452739642842 | 0.739547260357158 |
88 | 1 | 0.278032842530736 | 0.721967157469264 |
89 | 0 | 0.327557907796974 | -0.327557907796974 |
90 | 1 | 0.327557907796974 | 0.672442092203026 |
91 | 0 | 0.327557907796974 | -0.327557907796974 |
92 | 0 | 0.220721211624403 | -0.220721211624403 |
93 | 0 | 0.260452739642842 | -0.260452739642842 |
94 | 0 | 0.327557907796974 | -0.327557907796974 |
95 | 0 | 0.287826379778534 | -0.287826379778534 |
96 | 1 | 0.327557907796974 | 0.672442092203026 |
97 | 0 | 0.220721211624403 | -0.220721211624403 |
98 | 0 | 0.327557907796974 | -0.327557907796974 |
99 | 0 | 0.260452739642842 | -0.260452739642842 |
100 | 1 | 0.327557907796974 | 0.672442092203026 |
101 | 1 | 0.260452739642842 | 0.739547260357158 |
102 | 0 | 0.327557907796974 | -0.327557907796974 |
103 | 0 | 0.327557907796974 | -0.327557907796974 |
104 | 0 | 0.327557907796974 | -0.327557907796974 |
105 | 0 | 0.345138010684868 | -0.345138010684868 |
106 | 0 | 0.327557907796974 | -0.327557907796974 |
107 | 0 | 0.327557907796974 | -0.327557907796974 |
108 | 0 | 0.278032842530736 | -0.278032842530736 |
109 | 0 | 0.327557907796974 | -0.327557907796974 |
110 | 0 | 0.260452739642842 | -0.260452739642842 |
111 | 0 | 0.278032842530736 | -0.278032842530736 |
112 | 0 | 0.287826379778534 | -0.287826379778534 |
113 | 0 | 0.384869538703307 | -0.384869538703307 |
114 | 0 | 0.278032842530736 | -0.278032842530736 |
115 | 0 | 0.260452739642842 | -0.260452739642842 |
116 | 0 | 0.327557907796974 | -0.327557907796974 |
117 | 1 | 0.260452739642842 | 0.739547260357158 |
118 | 0 | 0.260452739642842 | -0.260452739642842 |
119 | 0 | 0.327557907796974 | -0.327557907796974 |
120 | 1 | 0.327557907796974 | 0.672442092203026 |
121 | 0 | 0.260452739642842 | -0.260452739642842 |
122 | 0 | 0.327557907796974 | -0.327557907796974 |
123 | 0 | 0.278032842530736 | -0.278032842530736 |
124 | 1 | 0.384869538703307 | 0.615130461296693 |
125 | 1 | 0.327557907796974 | 0.672442092203026 |
126 | 0 | 0.287826379778534 | -0.287826379778534 |
127 | 0 | 0.327557907796974 | -0.327557907796974 |
128 | 1 | 0.327557907796974 | 0.672442092203026 |
129 | 0 | 0.327557907796974 | -0.327557907796974 |
130 | 1 | 0.327557907796974 | 0.672442092203026 |
131 | 0 | 0.260452739642842 | -0.260452739642842 |
132 | 1 | 0.260452739642842 | 0.739547260357158 |
133 | 0 | 0.317764370549176 | -0.317764370549176 |
134 | 0 | 0.327557907796974 | -0.327557907796974 |
135 | 0 | 0.327557907796974 | -0.327557907796974 |
136 | 0 | 0.327557907796974 | -0.327557907796974 |
137 | 1 | 0.317764370549176 | 0.682235629450824 |
138 | 1 | 0.278032842530736 | 0.721967157469264 |
139 | 0 | 0.287826379778534 | -0.287826379778534 |
140 | 0 | 0.327557907796974 | -0.327557907796974 |
141 | 1 | 0.44218116960964 | 0.55781883039036 |
142 | 1 | 0.345138010684867 | 0.654861989315133 |
143 | 0 | 0.260452739642842 | -0.260452739642842 |
144 | 1 | 0.327557907796974 | 0.672442092203026 |
145 | 0 | 0.327557907796974 | -0.327557907796974 |
146 | 1 | 0.287826379778534 | 0.712173620221466 |
147 | 0 | 0.345138010684868 | -0.345138010684868 |
148 | 0 | 0.287826379778534 | -0.287826379778534 |
149 | 0 | 0.260452739642842 | -0.260452739642842 |
150 | 1 | 0.327557907796974 | 0.672442092203026 |
151 | 1 | 0.327557907796974 | 0.672442092203026 |
152 | 0 | 0.375076001455509 | -0.375076001455509 |
153 | 0 | 0.375076001455509 | -0.375076001455509 |
154 | 0 | 0.317764370549176 | -0.317764370549176 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
8 | 1.07381474625245e-48 | 2.1476294925049e-48 | 1 |
9 | 0.527644722386996 | 0.944710555226008 | 0.472355277613004 |
10 | 0.716905614942242 | 0.566188770115516 | 0.283094385057758 |
11 | 0.7350746258793 | 0.5298507482414 | 0.2649253741207 |
12 | 0.646191530850639 | 0.707616938298721 | 0.353808469149361 |
13 | 0.547867356164464 | 0.904265287671072 | 0.452132643835536 |
14 | 0.511112352729838 | 0.977775294540325 | 0.488887647270162 |
15 | 0.601301738364117 | 0.797396523271766 | 0.398698261635883 |
16 | 0.589210239667356 | 0.821579520665287 | 0.410789760332644 |
17 | 0.717995028553861 | 0.564009942892278 | 0.282004971446139 |
18 | 0.66777603980279 | 0.664447920394421 | 0.33222396019721 |
19 | 0.724692508350692 | 0.550614983298617 | 0.275307491649308 |
20 | 0.705089310089165 | 0.589821379821669 | 0.294910689910835 |
21 | 0.653872391580332 | 0.692255216839336 | 0.346127608419668 |
22 | 0.661853416249158 | 0.676293167501684 | 0.338146583750842 |
23 | 0.698491851647676 | 0.603016296704648 | 0.301508148352324 |
24 | 0.72613491638685 | 0.5477301672263 | 0.27386508361315 |
25 | 0.725430413644298 | 0.549139172711403 | 0.274569586355702 |
26 | 0.740570790492263 | 0.518858419015473 | 0.259429209507737 |
27 | 0.756594422548307 | 0.486811154903386 | 0.243405577451693 |
28 | 0.759627212541482 | 0.480745574917036 | 0.240372787458518 |
29 | 0.776231857327661 | 0.447536285344677 | 0.223768142672339 |
30 | 0.759135593955805 | 0.481728812088389 | 0.240864406044195 |
31 | 0.739427789019213 | 0.521144421961574 | 0.260572210980787 |
32 | 0.722492064765346 | 0.555015870469308 | 0.277507935234654 |
33 | 0.701036167798914 | 0.597927664402171 | 0.298963832201086 |
34 | 0.717899813802006 | 0.564200372395988 | 0.282100186197994 |
35 | 0.698937481228656 | 0.602125037542688 | 0.301062518771344 |
36 | 0.678565773067332 | 0.642868453865337 | 0.321434226932668 |
37 | 0.675611529039165 | 0.64877694192167 | 0.324388470960835 |
38 | 0.677052610301916 | 0.645894779396168 | 0.322947389698084 |
39 | 0.695109323538617 | 0.609781352922765 | 0.304890676461383 |
40 | 0.678948663719631 | 0.642102672560737 | 0.321051336280369 |
41 | 0.651998843910411 | 0.696002312179177 | 0.348001156089589 |
42 | 0.640155673754456 | 0.719688652491089 | 0.359844326245544 |
43 | 0.665512493688743 | 0.668975012622514 | 0.334487506311257 |
44 | 0.638218302863559 | 0.723563394272882 | 0.361781697136441 |
45 | 0.625719636936768 | 0.748560726126463 | 0.374280363063232 |
46 | 0.640500151914316 | 0.718999696171369 | 0.359499848085684 |
47 | 0.629709681365954 | 0.740580637268092 | 0.370290318634046 |
48 | 0.642386147535075 | 0.71522770492985 | 0.357613852464925 |
49 | 0.651785915469988 | 0.696428169060024 | 0.348214084530012 |
50 | 0.644005928558398 | 0.711988142883204 | 0.355994071441602 |
51 | 0.641890428272771 | 0.716219143454459 | 0.358109571727229 |
52 | 0.647858110721521 | 0.704283778556957 | 0.352141889278479 |
53 | 0.653091432121611 | 0.693817135756777 | 0.346908567878389 |
54 | 0.677836980675345 | 0.644326038649311 | 0.322163019324655 |
55 | 0.67411833761667 | 0.65176332476666 | 0.32588166238333 |
56 | 0.679723801289372 | 0.640552397421256 | 0.320276198710628 |
57 | 0.672271926129209 | 0.655456147741581 | 0.327728073870791 |
58 | 0.675926807380779 | 0.648146385238443 | 0.324073192619221 |
59 | 0.679192002645803 | 0.641615994708394 | 0.320807997354197 |
60 | 0.683088568919954 | 0.633822862160093 | 0.316911431080047 |
61 | 0.712774078389744 | 0.574451843220512 | 0.287225921610256 |
62 | 0.717283024160716 | 0.565433951678567 | 0.282716975839284 |
63 | 0.711503115086574 | 0.576993769826851 | 0.288496884913426 |
64 | 0.73719232932117 | 0.525615341357659 | 0.26280767067883 |
65 | 0.73069539825074 | 0.53860920349852 | 0.26930460174926 |
66 | 0.725249845769015 | 0.549500308461971 | 0.274750154230985 |
67 | 0.734006830405906 | 0.531986339188189 | 0.265993169594095 |
68 | 0.723233931698363 | 0.553532136603275 | 0.276766068301637 |
69 | 0.726491215683597 | 0.547017568632807 | 0.273508784316404 |
70 | 0.734983674242283 | 0.530032651515434 | 0.265016325757717 |
71 | 0.736530374347827 | 0.526939251304346 | 0.263469625652173 |
72 | 0.736867696233476 | 0.526264607533048 | 0.263132303766524 |
73 | 0.729473569123736 | 0.541052861752528 | 0.270526430876264 |
74 | 0.728967633303353 | 0.542064733393294 | 0.271032366696647 |
75 | 0.728673680278468 | 0.542652639443064 | 0.271326319721532 |
76 | 0.738088318363817 | 0.523823363272365 | 0.261911681636183 |
77 | 0.745465898658934 | 0.509068202682132 | 0.254534101341066 |
78 | 0.746759902633619 | 0.506480194732761 | 0.253240097366381 |
79 | 0.753068670746761 | 0.493862658506478 | 0.246931329253239 |
80 | 0.735470795195794 | 0.529058409608413 | 0.264529204804206 |
81 | 0.722732590514526 | 0.554534818970948 | 0.277267409485474 |
82 | 0.747235214814198 | 0.505529570371603 | 0.252764785185802 |
83 | 0.730108691114027 | 0.539782617771947 | 0.269891308885973 |
84 | 0.741368808095559 | 0.517262383808882 | 0.258631191904441 |
85 | 0.759384291306586 | 0.481231417386827 | 0.240615708693414 |
86 | 0.731143836373629 | 0.537712327252742 | 0.268856163626371 |
87 | 0.748070550273137 | 0.503858899453726 | 0.251929449726863 |
88 | 0.774579148473963 | 0.450841703052074 | 0.225420851526037 |
89 | 0.789770808878553 | 0.420458382242893 | 0.210229191121447 |
90 | 0.798740206913743 | 0.402519586172515 | 0.201259793086257 |
91 | 0.798873916466343 | 0.402252167067313 | 0.201126083533657 |
92 | 0.778722435042933 | 0.442555129914133 | 0.221277564957066 |
93 | 0.756165944823661 | 0.487668110352677 | 0.243834055176339 |
94 | 0.740191275613729 | 0.519617448772542 | 0.259808724386271 |
95 | 0.712635519010125 | 0.574728961979751 | 0.287364480989875 |
96 | 0.740597222329959 | 0.518805555340081 | 0.259402777670041 |
97 | 0.706998343568783 | 0.586003312862433 | 0.293001656431217 |
98 | 0.686109930240764 | 0.627780139518472 | 0.313890069759236 |
99 | 0.652995258919664 | 0.694009482160672 | 0.347004741080336 |
100 | 0.686554875240143 | 0.626890249519713 | 0.313445124759857 |
101 | 0.744181764409896 | 0.511636471180209 | 0.255818235590104 |
102 | 0.724494481958222 | 0.551011036083557 | 0.275505518041778 |
103 | 0.703809113948766 | 0.592381772102468 | 0.296190886051234 |
104 | 0.682574930622204 | 0.634850138755592 | 0.317425069377796 |
105 | 0.660292742483765 | 0.67941451503247 | 0.339707257516235 |
106 | 0.637868760923908 | 0.724262478152184 | 0.362131239076092 |
107 | 0.616103282835909 | 0.767793434328183 | 0.383896717164091 |
108 | 0.574767157723799 | 0.850465684552401 | 0.425232842276201 |
109 | 0.552590379525069 | 0.894819240949862 | 0.447409620474931 |
110 | 0.509632880108293 | 0.980734239783414 | 0.490367119891707 |
111 | 0.465681905451186 | 0.931363810902373 | 0.534318094548814 |
112 | 0.432680283455993 | 0.865360566911986 | 0.567319716544007 |
113 | 0.426633330420935 | 0.853266660841871 | 0.573366669579064 |
114 | 0.385310547134465 | 0.77062109426893 | 0.614689452865535 |
115 | 0.343024110634895 | 0.68604822126979 | 0.656975889365105 |
116 | 0.324480522292407 | 0.648961044584815 | 0.675519477707593 |
117 | 0.407824060404923 | 0.815648120809846 | 0.592175939595077 |
118 | 0.36008951383611 | 0.720179027672221 | 0.63991048616389 |
119 | 0.343953367234534 | 0.687906734469068 | 0.656046632765466 |
120 | 0.367398685632804 | 0.734797371265609 | 0.632601314367196 |
121 | 0.32073776994401 | 0.641475539888021 | 0.67926223005599 |
122 | 0.304845504672799 | 0.609691009345598 | 0.695154495327201 |
123 | 0.265277964472156 | 0.530555928944312 | 0.734722035527844 |
124 | 0.266904665379068 | 0.533809330758136 | 0.733095334620932 |
125 | 0.290336236224307 | 0.580672472448613 | 0.709663763775693 |
126 | 0.272636944801774 | 0.545273889603549 | 0.727363055198226 |
127 | 0.251676860882057 | 0.503353721764114 | 0.748323139117943 |
128 | 0.274677311758533 | 0.549354623517067 | 0.725322688241467 |
129 | 0.251134803541428 | 0.502269607082857 | 0.748865196458572 |
130 | 0.277041180206091 | 0.554082360412182 | 0.722958819793909 |
131 | 0.233999854781211 | 0.467999709562422 | 0.766000145218789 |
132 | 0.31798854512433 | 0.63597709024866 | 0.68201145487567 |
133 | 0.270910781155982 | 0.541821562311964 | 0.729089218844018 |
134 | 0.239167345489053 | 0.478334690978107 | 0.760832654510947 |
135 | 0.215089422408249 | 0.430178844816499 | 0.784910577591751 |
136 | 0.201243311609716 | 0.402486623219433 | 0.798756688390284 |
137 | 0.272611748178199 | 0.545223496356399 | 0.727388251821801 |
138 | 0.51373199914961 | 0.97253600170078 | 0.48626800085039 |
139 | 0.481360647313899 | 0.962721294627799 | 0.518639352686101 |
140 | 0.583287739131653 | 0.833424521736693 | 0.416712260868347 |
141 | 0.498874529511352 | 0.997749059022705 | 0.501125470488648 |
142 | 0.560669317612318 | 0.878661364775365 | 0.439330682387682 |
143 | 0.446756245897044 | 0.893512491794087 | 0.553243754102956 |
144 | 0.36987685159755 | 0.7397537031951 | 0.63012314840245 |
145 | 0.616805500208738 | 0.766388999582524 | 0.383194499791262 |
146 | 1 | 1.86443380449897e-46 | 9.32216902249484e-47 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 2 | 0.0143884892086331 | NOK |
5% type I error level | 2 | 0.0143884892086331 | OK |
10% type I error level | 2 | 0.0143884892086331 | OK |