Multiple Linear Regression - Estimated Regression Equation |
Totaal[t] = -28.2818825546516 + 0.648098234696843Voeding[t] + 0.143333989241817Dranken[t] + 0.0623369283047743Tabaksproducten[t] + 0.211281568915149Textiel[t] + 0.00973820999478853Kleding[t] + 0.183562087492253`Apparatuur\r`[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) | -28.2818825546516 | 6.95572 | -4.066 | 7.8e-05 | 3.9e-05 |
Voeding | 0.648098234696843 | 0.049335 | 13.1367 | 0 | 0 |
Dranken | 0.143333989241817 | 0.032429 | 4.4199 | 1.9e-05 | 1e-05 |
Tabaksproducten | 0.0623369283047743 | 0.033087 | 1.884 | 0.061577 | 0.030788 |
Textiel | 0.211281568915149 | 0.041112 | 5.1392 | 1e-06 | 0 |
Kleding | 0.00973820999478853 | 0.01762 | 0.5527 | 0.581338 | 0.290669 |
`Apparatuur\r` | 0.183562087492253 | 0.054785 | 3.3506 | 0.00103 | 0.000515 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.906700222167259 |
R-squared | 0.822105292878156 |
Adjusted R-squared | 0.814693013414746 |
F-TEST (value) | 110.911265142711 |
F-TEST (DF numerator) | 6 |
F-TEST (DF denominator) | 144 |
p-value | 0 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 4.54036505298097 |
Sum Squared Residuals | 2968.54773326364 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 75.5 | 79.1603427703599 | -3.6603427703599 |
2 | 83.2 | 85.2275008896291 | -2.02750088962913 |
3 | 94.5 | 94.8705138218139 | -0.370513821813915 |
4 | 83.3 | 82.8272876067212 | 0.472712393278777 |
5 | 92.7 | 97.0928247132654 | -4.39282471326541 |
6 | 89.8 | 91.1666613910513 | -1.36666139105128 |
7 | 74.8 | 76.4427323960493 | -1.64273239604927 |
8 | 81.5 | 80.9205460569122 | 0.579453943087781 |
9 | 92.8 | 92.1275503972636 | 0.672449602736385 |
10 | 92.8 | 100.93976329081 | -8.13976329080955 |
11 | 91.7 | 96.5310440707621 | -4.83104407076208 |
12 | 83.5 | 87.6663473222742 | -4.16634732227417 |
13 | 92.8 | 89.4471397442107 | 3.35286025578926 |
14 | 91.3 | 86.8537458275471 | 4.44625417245289 |
15 | 99.5 | 100.130626778441 | -0.63062677844138 |
16 | 87.6 | 86.8283089558366 | 0.771691044163396 |
17 | 95.3 | 96.5652647824467 | -1.26526478244671 |
18 | 98.5 | 95.8936840057462 | 2.60631599425384 |
19 | 80.1 | 89.8019726301508 | -9.70197263015076 |
20 | 84.2 | 89.5216002107654 | -5.32160021076543 |
21 | 92.4 | 97.8299400287517 | -5.42994002875168 |
22 | 98 | 109.391162234603 | -11.3911622346026 |
23 | 92.2 | 100.671654095135 | -8.4716540951346 |
24 | 80 | 87.5507582982236 | -7.55075829822363 |
25 | 88.7 | 90.8411805381877 | -2.14118053818766 |
26 | 87.4 | 87.979032897855 | -0.57903289785498 |
27 | 96.1 | 96.9066390885886 | -0.80663908858865 |
28 | 94.1 | 94.4596213165973 | -0.359621316597349 |
29 | 91.9 | 93.7878372823305 | -1.88783728233051 |
30 | 93.6 | 94.7720179196775 | -1.17201791967752 |
31 | 83.5 | 89.8563362660703 | -6.35633626607027 |
32 | 80.8 | 84.4708091899377 | -3.67080918993771 |
33 | 96.3 | 100.995302628472 | -4.69530262847225 |
34 | 101.5 | 110.515242232543 | -9.01524223254349 |
35 | 91.6 | 96.0091505692475 | -4.40915056924748 |
36 | 84 | 93.1035721728371 | -9.10357217283711 |
37 | 91.8 | 93.0651448412605 | -1.26514484126048 |
38 | 90.4 | 90.7292470368424 | -0.329247036842349 |
39 | 98 | 95.3898330686188 | 2.61016693138121 |
40 | 95.5 | 96.7064948442832 | -1.20649484428316 |
41 | 90.5 | 88.2508623104825 | 2.24913768951749 |
42 | 97.1 | 94.5708539158022 | 2.52914608419778 |
43 | 87.9 | 90.5535078925442 | -2.65350789254417 |
44 | 79.8 | 79.6065148058679 | 0.193485194132115 |
45 | 102 | 101.774749370184 | 0.225250629816409 |
46 | 104.3 | 109.859205719861 | -5.5592057198614 |
47 | 92.1 | 92.7075627054294 | -0.607562705429391 |
48 | 95.9 | 93.720971957377 | 2.17902804262304 |
49 | 89.1 | 87.9438679646896 | 1.15613203531035 |
50 | 92.2 | 87.4439891398923 | 4.75601086010767 |
51 | 107.5 | 107.535173189705 | -0.0351731897054373 |
52 | 99.7 | 97.2369967476538 | 2.46300325234616 |
53 | 92.2 | 90.3835103008027 | 1.81648969919733 |
54 | 108.9 | 106.525229805666 | 2.37477019433372 |
55 | 89.8 | 89.2814253956111 | 0.518574604388948 |
56 | 89.4 | 85.6763901468218 | 3.72360985317824 |
57 | 107.6 | 107.535746706476 | 0.0642532935242961 |
58 | 105.6 | 106.742794440548 | -1.14279444054838 |
59 | 100.9 | 101.919547389113 | -1.01954738911329 |
60 | 102.9 | 100.412345090231 | 2.48765490976873 |
61 | 96.2 | 89.6478535771075 | 6.55214642289255 |
62 | 94.7 | 86.8925293372554 | 7.80747066274456 |
63 | 107.3 | 102.135308502301 | 5.16469149769874 |
64 | 103 | 97.3826045288728 | 5.61739547112718 |
65 | 96.1 | 93.8703759569756 | 2.22962404302445 |
66 | 109.8 | 106.07746396873 | 3.72253603127002 |
67 | 85.4 | 84.4081568231945 | 0.991843176805537 |
68 | 89.9 | 90.2886797687453 | -0.388679768745294 |
69 | 109.3 | 108.608299920616 | 0.691700079383662 |
70 | 101.2 | 102.528573993214 | -1.32857399321446 |
71 | 104.7 | 107.476386149723 | -2.77638614972324 |
72 | 102.4 | 101.427667202305 | 0.972332797695014 |
73 | 97.7 | 93.6428792162698 | 4.05712078373022 |
74 | 98.9 | 89.1253691067542 | 9.77463089324576 |
75 | 115 | 106.837057294808 | 8.1629427051915 |
76 | 97.5 | 93.0548610157056 | 4.44513898429439 |
77 | 107.3 | 103.443002502787 | 3.85699749721336 |
78 | 112.3 | 108.090229189407 | 4.20977081059292 |
79 | 88.5 | 92.9365880259957 | -4.43658802599575 |
80 | 92.9 | 93.2466836151492 | -0.346683615149146 |
81 | 108.8 | 108.833457905764 | -0.0334579057635461 |
82 | 112.3 | 115.017407064707 | -2.71740706470669 |
83 | 107.3 | 111.205198706549 | -3.90519870654879 |
84 | 101.8 | 97.2961456592801 | 4.50385434071992 |
85 | 105 | 102.036672093614 | 2.96332790638568 |
86 | 103.4 | 95.449975835776 | 7.95002416422398 |
87 | 116.7 | 112.480686035678 | 4.21931396432188 |
88 | 103.6 | 99.8895161085421 | 3.71048389145786 |
89 | 108.8 | 103.536172111831 | 5.26382788816869 |
90 | 117 | 110.844684642994 | 6.15531535700583 |
91 | 100.9 | 98.6067618589157 | 2.2932381410843 |
92 | 100.8 | 96.7806342408306 | 4.01936575916938 |
93 | 109.7 | 105.437441842859 | 4.26255815714066 |
94 | 121 | 121.883153307792 | -0.883153307792118 |
95 | 114.1 | 113.407674522034 | 0.69232547796567 |
96 | 105.5 | 97.2053086083308 | 8.29469139166924 |
97 | 112.5 | 109.86257822668 | 2.63742177332015 |
98 | 113.8 | 107.897614011282 | 5.90238598871777 |
99 | 115.3 | 109.888660891374 | 5.411339108626 |
100 | 120.4 | 115.500594292684 | 4.89940570731624 |
101 | 111.1 | 105.665804748745 | 5.43419525125481 |
102 | 120.1 | 109.948148021707 | 10.151851978293 |
103 | 106.1 | 106.904831934808 | -0.804831934807909 |
104 | 95.9 | 91.8861039912802 | 4.01389600871984 |
105 | 119.4 | 115.875079518427 | 3.52492048157339 |
106 | 117.4 | 120.187203348231 | -2.78720334823122 |
107 | 98.6 | 101.98207236912 | -3.38207236912007 |
108 | 99.7 | 104.408436563741 | -4.70843656374082 |
109 | 87.4 | 93.4046933120203 | -6.00469331202025 |
110 | 90.8 | 91.843057161336 | -1.043057161336 |
111 | 101.3 | 105.18461842192 | -3.88461842192034 |
112 | 93.2 | 101.337078104664 | -8.13707810466365 |
113 | 95.1 | 93.4873942119206 | 1.61260578807934 |
114 | 101.9 | 107.572372703283 | -5.67237270328321 |
115 | 87 | 99.6545456192282 | -12.6545456192282 |
116 | 86.2 | 89.1366206020606 | -2.93662060206061 |
117 | 105 | 110.590402720088 | -5.59040272008849 |
118 | 104.1 | 111.839595993622 | -7.73959599362225 |
119 | 99.2 | 103.100480003773 | -3.90048000377314 |
120 | 95.2 | 103.569398889581 | -8.36939888958069 |
121 | 92.7 | 91.2717035003759 | 1.42829649962411 |
122 | 99.3 | 94.1766094482954 | 5.12339055170457 |
123 | 113.5 | 115.793829388089 | -2.29382938808857 |
124 | 104.7 | 106.639531892712 | -1.93953189271152 |
125 | 100.5 | 96.5235382966298 | 3.97646170337018 |
126 | 116.2 | 116.293245754179 | -0.0932457541789287 |
127 | 94.1 | 98.3876065561945 | -4.28760655619449 |
128 | 94.8 | 94.9292602556331 | -0.129260255633142 |
129 | 115.1 | 110.686814556416 | 4.41318544358361 |
130 | 110 | 112.37396212515 | -2.37396212515021 |
131 | 108.4 | 109.377747319639 | -0.977747319638823 |
132 | 103.9 | 104.510584516766 | -0.610584516766098 |
133 | 102.9 | 100.892187730683 | 2.00781226931658 |
134 | 107.7 | 97.4524957387529 | 10.2475042612471 |
135 | 126.7 | 119.207771039878 | 7.49222896012221 |
136 | 108.8 | 103.681542829703 | 5.11845717029713 |
137 | 117.1 | 112.76520954764 | 4.33479045235977 |
138 | 112.2 | 107.258330825769 | 4.94166917423136 |
139 | 94.7 | 93.3021172257943 | 1.39788277420574 |
140 | 102.7 | 100.105317207875 | 2.59468279212533 |
141 | 119.1 | 117.604084017638 | 1.4959159823617 |
142 | 110.6 | 111.643005384809 | -1.04300538480861 |
143 | 109.1 | 111.491855221238 | -2.3918552212376 |
144 | 105.3 | 106.447097420159 | -1.14709742015912 |
145 | 103.4 | 102.56949705012 | 0.830502949880484 |
146 | 103.7 | 103.85880649407 | -0.158806494069589 |
147 | 117 | 118.757852030126 | -1.7578520301258 |
148 | 101.2 | 101.45700106731 | -0.257001067309696 |
149 | 105.4 | 107.613628451095 | -2.2136284510949 |
150 | 110.3 | 113.282387920607 | -2.98238792060657 |
151 | 97.7 | 104.058854076785 | -6.35885407678518 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
10 | 0.186345299293565 | 0.37269059858713 | 0.813654700706435 |
11 | 0.0845967495629553 | 0.169193499125911 | 0.915403250437045 |
12 | 0.0353037697336232 | 0.0706075394672464 | 0.964696230266377 |
13 | 0.0482440106472533 | 0.0964880212945066 | 0.951755989352747 |
14 | 0.0822950292163361 | 0.164590058432672 | 0.917704970783664 |
15 | 0.0450409621990682 | 0.0900819243981364 | 0.954959037800932 |
16 | 0.0289938927024011 | 0.0579877854048022 | 0.971006107297599 |
17 | 0.0215277550357535 | 0.043055510071507 | 0.978472244964246 |
18 | 0.0209586153006534 | 0.0419172306013068 | 0.979041384699347 |
19 | 0.304606803869366 | 0.609213607738733 | 0.695393196130634 |
20 | 0.267435304842057 | 0.534870609684113 | 0.732564695157943 |
21 | 0.236852798623238 | 0.473705597246477 | 0.763147201376762 |
22 | 0.305565167332273 | 0.611130334664546 | 0.694434832667727 |
23 | 0.314402059639988 | 0.628804119279976 | 0.685597940360012 |
24 | 0.295196748228417 | 0.590393496456835 | 0.704803251771583 |
25 | 0.23886562522977 | 0.47773125045954 | 0.76113437477023 |
26 | 0.187967662063509 | 0.375935324127017 | 0.812032337936491 |
27 | 0.174616394035382 | 0.349232788070763 | 0.825383605964618 |
28 | 0.163341843155196 | 0.326683686310392 | 0.836658156844804 |
29 | 0.143308145740524 | 0.286616291481049 | 0.856691854259476 |
30 | 0.134067620644118 | 0.268135241288237 | 0.865932379355882 |
31 | 0.140078217668586 | 0.280156435337172 | 0.859921782331414 |
32 | 0.125716210308005 | 0.25143242061601 | 0.874283789691995 |
33 | 0.117696749447523 | 0.235393498895047 | 0.882303250552477 |
34 | 0.137762066000788 | 0.275524132001577 | 0.862237933999212 |
35 | 0.139028048132437 | 0.278056096264874 | 0.860971951867563 |
36 | 0.197877988157764 | 0.395755976315528 | 0.802122011842236 |
37 | 0.179966707686436 | 0.359933415372871 | 0.820033292313564 |
38 | 0.159028573174832 | 0.318057146349664 | 0.840971426825168 |
39 | 0.251572745992349 | 0.503145491984699 | 0.748427254007651 |
40 | 0.237979706612715 | 0.47595941322543 | 0.762020293387285 |
41 | 0.270997382904818 | 0.541994765809635 | 0.729002617095182 |
42 | 0.312667896952807 | 0.625335793905614 | 0.687332103047193 |
43 | 0.272727289191232 | 0.545454578382464 | 0.727272710808768 |
44 | 0.242559350878962 | 0.485118701757924 | 0.757440649121038 |
45 | 0.25538704246054 | 0.51077408492108 | 0.74461295753946 |
46 | 0.265812850224005 | 0.531625700448009 | 0.734187149775995 |
47 | 0.245625704594494 | 0.491251409188988 | 0.754374295405506 |
48 | 0.327756554834458 | 0.655513109668916 | 0.672243445165542 |
49 | 0.285943349155306 | 0.571886698310612 | 0.714056650844694 |
50 | 0.27139308194921 | 0.542786163898421 | 0.72860691805079 |
51 | 0.2386688191236 | 0.4773376382472 | 0.7613311808764 |
52 | 0.204687774232882 | 0.409375548465763 | 0.795312225767118 |
53 | 0.191517559102243 | 0.383035118204487 | 0.808482440897757 |
54 | 0.198343515532189 | 0.396687031064377 | 0.801656484467811 |
55 | 0.174122837515585 | 0.34824567503117 | 0.825877162484415 |
56 | 0.15753926550189 | 0.315078531003779 | 0.84246073449811 |
57 | 0.135149165839875 | 0.270298331679749 | 0.864850834160125 |
58 | 0.138686306748134 | 0.277372613496268 | 0.861313693251866 |
59 | 0.130642993453939 | 0.261285986907878 | 0.869357006546061 |
60 | 0.172481852624133 | 0.344963705248266 | 0.827518147375867 |
61 | 0.240822641267112 | 0.481645282534223 | 0.759177358732888 |
62 | 0.335222431950127 | 0.670444863900254 | 0.664777568049873 |
63 | 0.364393599505238 | 0.728787199010477 | 0.635606400494762 |
64 | 0.453496740974239 | 0.906993481948479 | 0.546503259025761 |
65 | 0.436288035393625 | 0.872576070787251 | 0.563711964606375 |
66 | 0.472172221770016 | 0.944344443540032 | 0.527827778229984 |
67 | 0.454706116028453 | 0.909412232056906 | 0.545293883971547 |
68 | 0.42756132162214 | 0.855122643244281 | 0.57243867837786 |
69 | 0.418210252478533 | 0.836420504957066 | 0.581789747521467 |
70 | 0.414090211087782 | 0.828180422175564 | 0.585909788912218 |
71 | 0.397501685810758 | 0.795003371621517 | 0.602498314189241 |
72 | 0.388253395561354 | 0.776506791122707 | 0.611746604438646 |
73 | 0.379205629449887 | 0.758411258899774 | 0.620794370550113 |
74 | 0.510996964473418 | 0.978006071053164 | 0.489003035526582 |
75 | 0.669807192634424 | 0.660385614731152 | 0.330192807365576 |
76 | 0.653018528047041 | 0.693962943905919 | 0.346981471952959 |
77 | 0.638104844146555 | 0.72379031170689 | 0.361895155853445 |
78 | 0.633379193046414 | 0.733241613907171 | 0.366620806953586 |
79 | 0.716183668764571 | 0.567632662470858 | 0.283816331235429 |
80 | 0.67551765921849 | 0.648964681563019 | 0.32448234078151 |
81 | 0.668667515548595 | 0.662664968902809 | 0.331332484451405 |
82 | 0.654335090434624 | 0.691329819130751 | 0.345664909565376 |
83 | 0.665844638030514 | 0.668310723938973 | 0.334155361969486 |
84 | 0.649564974927865 | 0.70087005014427 | 0.350435025072135 |
85 | 0.613339085404136 | 0.773321829191727 | 0.386660914595864 |
86 | 0.647947605733314 | 0.704104788533373 | 0.352052394266686 |
87 | 0.639763151833916 | 0.720473696332168 | 0.360236848166084 |
88 | 0.621570912850896 | 0.756858174298207 | 0.378429087149104 |
89 | 0.605056133844783 | 0.789887732310433 | 0.394943866155217 |
90 | 0.612850734974418 | 0.774298530051164 | 0.387149265025582 |
91 | 0.567068599396141 | 0.865862801207718 | 0.432931400603859 |
92 | 0.536846242439826 | 0.926307515120347 | 0.463153757560174 |
93 | 0.501691416288283 | 0.996617167423435 | 0.498308583711717 |
94 | 0.457234208472414 | 0.914468416944827 | 0.542765791527586 |
95 | 0.4078749371552 | 0.815749874310401 | 0.5921250628448 |
96 | 0.51567926976385 | 0.968641460472299 | 0.48432073023615 |
97 | 0.483718663717579 | 0.967437327435159 | 0.516281336282421 |
98 | 0.46347356530574 | 0.92694713061148 | 0.53652643469426 |
99 | 0.457887005756577 | 0.915774011513155 | 0.542112994243423 |
100 | 0.445347145116775 | 0.890694290233551 | 0.554652854883225 |
101 | 0.434171708731396 | 0.868343417462791 | 0.565828291268604 |
102 | 0.504602248956193 | 0.990795502087614 | 0.495397751043807 |
103 | 0.472186611926053 | 0.944373223852107 | 0.527813388073947 |
104 | 0.471762909291143 | 0.943525818582285 | 0.528237090708857 |
105 | 0.434910513959657 | 0.869821027919314 | 0.565089486040343 |
106 | 0.421796420285458 | 0.843592840570915 | 0.578203579714542 |
107 | 0.420678530950865 | 0.84135706190173 | 0.579321469049135 |
108 | 0.455457334185851 | 0.910914668371701 | 0.544542665814149 |
109 | 0.583980000515718 | 0.832039998968564 | 0.416019999484282 |
110 | 0.557170675620189 | 0.885658648759622 | 0.442829324379811 |
111 | 0.562444850669176 | 0.875110298661648 | 0.437555149330824 |
112 | 0.627311398907946 | 0.745377202184108 | 0.372688601092054 |
113 | 0.59036315062538 | 0.81927369874924 | 0.40963684937462 |
114 | 0.637203753001453 | 0.725592493997094 | 0.362796246998547 |
115 | 0.886289741533499 | 0.227420516933002 | 0.113710258466501 |
116 | 0.872785878587668 | 0.254428242824664 | 0.127214121412332 |
117 | 0.90567151806538 | 0.18865696386924 | 0.0943284819346199 |
118 | 0.950543539774894 | 0.0989129204502114 | 0.0494564602251057 |
119 | 0.939289185992548 | 0.121421628014904 | 0.0607108140074518 |
120 | 0.976385351721 | 0.0472292965580004 | 0.0236146482790002 |
121 | 0.9678132383589 | 0.0643735232821996 | 0.0321867616410998 |
122 | 0.956077745046607 | 0.0878445099067861 | 0.0439222549533931 |
123 | 0.957323261123427 | 0.0853534777531465 | 0.0426767388765732 |
124 | 0.948840332972732 | 0.102319334054535 | 0.0511596670272677 |
125 | 0.94497203080653 | 0.110055938386939 | 0.0550279691934697 |
126 | 0.935709571952615 | 0.128580856094769 | 0.0642904280473847 |
127 | 0.971812584620162 | 0.0563748307596761 | 0.0281874153798381 |
128 | 0.966162934298635 | 0.0676741314027308 | 0.0338370657013654 |
129 | 0.952361819237188 | 0.0952763615256231 | 0.0476381807628116 |
130 | 0.964226558384012 | 0.0715468832319754 | 0.0357734416159877 |
131 | 0.942954176046293 | 0.114091647907414 | 0.0570458239537068 |
132 | 0.911367169530207 | 0.177265660939585 | 0.0886328304697925 |
133 | 0.867469800746166 | 0.265060398507668 | 0.132530199253834 |
134 | 0.910252988878096 | 0.179494022243808 | 0.0897470111219041 |
135 | 0.926085996371161 | 0.147828007257678 | 0.0739140036288392 |
136 | 0.969148233950371 | 0.0617035320992578 | 0.0308517660496289 |
137 | 0.959753689884188 | 0.0804926202316238 | 0.0402463101158119 |
138 | 0.968154849864866 | 0.0636903002702684 | 0.0318451501351342 |
139 | 0.970948090295865 | 0.0581038194082696 | 0.0290519097041348 |
140 | 0.954219094807561 | 0.0915618103848779 | 0.0457809051924389 |
141 | 0.952775910710933 | 0.0944481785781329 | 0.0472240892890665 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 0 | 0 | OK |
5% type I error level | 3 | 0.0227272727272727 | OK |
10% type I error level | 21 | 0.159090909090909 | NOK |