Multiple Linear Regression - Estimated Regression Equation |
TijdInRFC[t] = -3711.56060254409 + 135.919912760391CompendiumViews[t] + 484.004129696013Blogs[t] + 331.477487814427FeedbackMessages[t] + 0.656183217158333CompendiumLengte[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) | -3711.56060254409 | 2861.282415 | -1.2972 | 0.196723 | 0.098361 |
CompendiumViews | 135.919912760391 | 14.133851 | 9.6166 | 0 | 0 |
Blogs | 484.004129696013 | 142.067365 | 3.4069 | 0.00086 | 0.00043 |
FeedbackMessages | 331.477487814427 | 97.599913 | 3.3963 | 0.000891 | 0.000445 |
CompendiumLengte | 0.656183217158333 | 0.15367 | 4.2701 | 3.6e-05 | 1.8e-05 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.912017526887744 |
R-squared | 0.831775969350437 |
Adjusted R-squared | 0.826934990051168 |
F-TEST (value) | 171.819774043695 |
F-TEST (DF numerator) | 4 |
F-TEST (DF denominator) | 139 |
p-value | 0 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 16062.2305079843 |
Sum Squared Residuals | 35861339595.9352 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 63047 | 51592.6307763449 | 11454.3692236551 |
2 | 66751 | 49134.1779598245 | 17616.8220401754 |
3 | 7176 | 6736.58200869959 | 439.417991300413 |
4 | 78306 | 85565.6039527777 | -7259.60395277769 |
5 | 144655 | 155404.137636198 | -10749.1376361983 |
6 | 269638 | 250223.918179102 | 19414.0818208984 |
7 | 69266 | 67581.3189077897 | 1684.68109221026 |
8 | 83529 | 64488.3057449055 | 19040.6942550945 |
9 | 73226 | 77736.1766836084 | -4510.17668360837 |
10 | 178519 | 134391.71079838 | 44127.2892016196 |
11 | 67250 | 76222.5459202076 | -8972.54592020759 |
12 | 102982 | 103326.207572708 | -344.207572707961 |
13 | 50001 | 67958.2573485853 | -17957.2573485853 |
14 | 91093 | 111128.64195518 | -20035.6419551796 |
15 | 80112 | 59469.0992704572 | 20642.9007295428 |
16 | 72961 | 74545.423467081 | -1584.42346708098 |
17 | 77159 | 99991.549898599 | -22832.5498985989 |
18 | 15629 | 17173.7455545314 | -1544.74555453137 |
19 | 71693 | 118808.777598111 | -47115.777598111 |
20 | 19920 | 50576.0765198173 | -30656.0765198173 |
21 | 39403 | 48491.3710438011 | -9088.37104380114 |
22 | 104383 | 112935.614664686 | -8552.61466468559 |
23 | 56088 | 51940.9507986647 | 4147.04920133529 |
24 | 62006 | 72960.216723569 | -10954.216723569 |
25 | 81665 | 83573.5358219205 | -1908.53582192049 |
26 | 69451 | 52704.1580942804 | 16746.8419057196 |
27 | 88794 | 93614.5729583551 | -4820.57295835508 |
28 | 90642 | 66033.7515212055 | 24608.2484787945 |
29 | 207069 | 145448.106712588 | 61620.8932874118 |
30 | 99340 | 90521.5327506581 | 8818.46724934193 |
31 | 56695 | 58456.2330906861 | -1761.23309068606 |
32 | 108143 | 83620.6003323026 | 24522.3996676974 |
33 | 64204 | 78857.6036651803 | -14653.6036651803 |
34 | 29101 | 41601.3877756423 | -12500.3877756423 |
35 | 113060 | 95042.2072393285 | 18017.7927606715 |
36 | 0 | -3711.56060254408 | 3711.56060254408 |
37 | 65773 | 61723.6097662751 | 4049.39023372495 |
38 | 67047 | 80551.6900446412 | -13504.6900446412 |
39 | 41953 | 61734.3614776771 | -19781.3614776771 |
40 | 113787 | 122099.713301268 | -8312.71330126845 |
41 | 86584 | 86477.145565931 | 106.854434068998 |
42 | 59588 | 69399.369423806 | -9811.36942380595 |
43 | 40064 | 44504.8411362493 | -4440.84113624935 |
44 | 74471 | 101097.539139238 | -26626.5391392376 |
45 | 60437 | 73133.4330165082 | -12696.4330165082 |
46 | 55118 | 40402.067824535 | 14715.932175465 |
47 | 40295 | 32471.6952434466 | 7823.30475655338 |
48 | 103397 | 85236.0066089082 | 18160.9933910918 |
49 | 78982 | 75064.3673721404 | 3917.63262785955 |
50 | 67317 | 91838.9855022458 | -24521.9855022458 |
51 | 39887 | 38085.2654103533 | 1801.73458964671 |
52 | 59682 | 51891.6326296446 | 7790.3673703554 |
53 | 132740 | 100914.891228498 | 31825.108771502 |
54 | 104816 | 81843.6604569974 | 22972.3395430026 |
55 | 101395 | 98231.1565647045 | 3163.84343529549 |
56 | 72824 | 61647.4952898581 | 11176.5047101419 |
57 | 76018 | 62114.2761986403 | 13903.7238013597 |
58 | 33891 | 36085.5760812783 | -2194.57608127826 |
59 | 63694 | 62727.2070366507 | 966.792963349302 |
60 | 33239 | 56565.3827620012 | -23326.3827620012 |
61 | 35093 | 39235.7562505555 | -4142.75625055546 |
62 | 35252 | 58369.4418486565 | -23117.4418486565 |
63 | 36977 | 46818.5664824553 | -9841.56648245533 |
64 | 42406 | 39541.922051973 | 2864.07794802695 |
65 | 56353 | 38084.4380066031 | 18268.5619933969 |
66 | 58817 | 73624.8998651291 | -14807.8998651291 |
67 | 81051 | 91940.8873482188 | -10889.8873482188 |
68 | 70872 | 103922.556758285 | -33050.5567582846 |
69 | 42372 | 48774.6899045687 | -6402.68990456871 |
70 | 19144 | 11683.0255004163 | 7460.97449958371 |
71 | 114177 | 99576.4867654072 | 14600.5132345928 |
72 | 59414 | 51657.631990329 | 7756.36800967099 |
73 | 51379 | 72462.8428745401 | -21083.8428745401 |
74 | 40756 | 59028.1378777559 | -18272.1378777559 |
75 | 53398 | 78009.9210148758 | -24611.9210148758 |
76 | 17799 | 25294.2410397111 | -7495.24103971106 |
77 | 71154 | 64059.4942588054 | 7094.50574119462 |
78 | 58305 | 84176.6580774295 | -25871.6580774296 |
79 | 27454 | 37113.7089329073 | -9659.7089329073 |
80 | 34323 | 60850.3641711208 | -26527.3641711208 |
81 | 44761 | 52867.8277089816 | -8106.82770898163 |
82 | 113862 | 68777.8330646079 | 45084.1669353921 |
83 | 35027 | 36310.9477658344 | -1283.94776583438 |
84 | 62396 | 74054.6878181349 | -11658.6878181349 |
85 | 29613 | 43615.0550003547 | -14002.0550003547 |
86 | 65559 | 65172.45137999 | 386.54862000998 |
87 | 120064 | 87697.2442599499 | 32366.7557400501 |
88 | 36149 | 43625.8121799965 | -7476.81217999655 |
89 | 40181 | 44847.6558351475 | -4666.65583514755 |
90 | 53398 | 50812.4593173635 | 2585.54068263653 |
91 | 56435 | 66819.5979327251 | -10384.5979327251 |
92 | 77283 | 91771.6050025595 | -14488.6050025595 |
93 | 71738 | 52242.8980681912 | 19495.1019318088 |
94 | 48503 | 49031.760559126 | -528.760559126042 |
95 | 25214 | 40652.8239655915 | -15438.8239655915 |
96 | 119424 | 90770.9719840108 | 28653.0280159892 |
97 | 79201 | 80226.0608878073 | -1025.06088780728 |
98 | 19349 | 14242.960869282 | 5106.03913071802 |
99 | 78760 | 66398.8571484126 | 12361.1428515874 |
100 | 54133 | 62928.3686337614 | -8795.36863376144 |
101 | 21623 | 17784.2857829369 | 3838.71421706308 |
102 | 25497 | 43872.3588810225 | -18375.3588810225 |
103 | 69535 | 59464.7591335263 | 10070.2408664737 |
104 | 30709 | 25123.1212854197 | 5585.87871458031 |
105 | 37043 | 26254.2361963767 | 10788.7638036233 |
106 | 24716 | 23842.0022956447 | 873.997704355348 |
107 | 60734 | 59417.6487122543 | 1316.35128774571 |
108 | 27246 | 16665.8468641327 | 10580.1531358673 |
109 | 0 | -3711.56060254408 | 3711.56060254408 |
110 | 38814 | 45763.9733153817 | -6949.97331538168 |
111 | 27646 | 44064.9575262952 | -16418.9575262952 |
112 | 65373 | 64157.3956658753 | 1215.60433412475 |
113 | 43021 | 57954.87929904 | -14933.87929904 |
114 | 43116 | 44664.7174080688 | -1548.71740806877 |
115 | 3058 | -3575.64068978369 | 6633.64068978369 |
116 | 0 | -3711.56060254408 | 3711.56060254408 |
117 | 96347 | 62862.5979044184 | 33484.4020955816 |
118 | 55195 | 74587.4259519186 | -19392.4259519186 |
119 | 73321 | 60408.6468419059 | 12912.3531580941 |
120 | 45266 | 55461.6813144134 | -10195.6813144134 |
121 | 43410 | 42184.3608217228 | 1225.63917827722 |
122 | 83842 | 78338.6481054243 | 5503.35189457568 |
123 | 39296 | 35956.3186706417 | 3339.68132935827 |
124 | 38490 | 47582.6975103357 | -9092.69751033565 |
125 | 39841 | 30984.1105233249 | 8856.88947667513 |
126 | 19764 | 16335.4775999158 | 3428.52240008425 |
127 | 66463 | 76261.1079218632 | -9798.10792186324 |
128 | 64589 | 50064.9967521491 | 14524.0032478509 |
129 | 63339 | 72314.231312402 | -8975.23131240205 |
130 | 11796 | 7841.59412303724 | 3954.40587696276 |
131 | 7627 | -313.562783534313 | 7940.56278353431 |
132 | 68998 | 52029.4843641309 | 16968.5156358691 |
133 | 6836 | -2216.44156217978 | 9052.44156217978 |
134 | 35414 | 43583.2647365408 | -8169.26473654077 |
135 | 5118 | -476.020477501678 | 5594.02047750168 |
136 | 20898 | 16436.3293662171 | 4461.67063378294 |
137 | 0 | -3711.56060254408 | 3711.56060254408 |
138 | 42690 | 44222.9981322234 | -1532.99813222336 |
139 | 14507 | 23229.5666729887 | -8722.56667298865 |
140 | 7131 | -41.722958013529 | 7172.72295801353 |
141 | 4194 | -1808.68182389861 | 6002.68182389861 |
142 | 21416 | 25222.9447320164 | -3806.9447320164 |
143 | 39000 | 30362.3863213392 | 8637.61367866084 |
144 | 42419 | 46025.6102313399 | -3606.61023133994 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
8 | 0.166890490162749 | 0.333780980325499 | 0.833109509837251 |
9 | 0.0880756248406675 | 0.176151249681335 | 0.911924375159332 |
10 | 0.760649724941686 | 0.478700550116628 | 0.239350275058314 |
11 | 0.670213415008133 | 0.659573169983735 | 0.329786584991867 |
12 | 0.558667505742611 | 0.882664988514778 | 0.441332494257389 |
13 | 0.510335213930703 | 0.979329572138594 | 0.489664786069297 |
14 | 0.727362852014169 | 0.545274295971661 | 0.272637147985831 |
15 | 0.662899977501369 | 0.674200044997262 | 0.337100022498631 |
16 | 0.667662811972951 | 0.664674376054098 | 0.332337188027049 |
17 | 0.875810491386724 | 0.248379017226552 | 0.124189508613276 |
18 | 0.834128164444915 | 0.33174367111017 | 0.165871835555085 |
19 | 0.975676314195293 | 0.0486473716094133 | 0.0243236858047067 |
20 | 0.992703278819167 | 0.0145934423616651 | 0.00729672118083255 |
21 | 0.988681876477885 | 0.0226362470442308 | 0.0113181235221154 |
22 | 0.984329888004836 | 0.0313402239903271 | 0.0156701119951635 |
23 | 0.978573815599687 | 0.0428523688006269 | 0.0214261844003134 |
24 | 0.971817453146147 | 0.0563650937077065 | 0.0281825468538533 |
25 | 0.959517869557378 | 0.080964260885244 | 0.040482130442622 |
26 | 0.960231464108216 | 0.0795370717835679 | 0.039768535891784 |
27 | 0.944921829311091 | 0.110156341377818 | 0.055078170688909 |
28 | 0.960377859286209 | 0.0792442814275822 | 0.0396221407137911 |
29 | 0.999571313693485 | 0.000857372613030258 | 0.000428686306515129 |
30 | 0.999407004340789 | 0.00118599131842279 | 0.000592995659211397 |
31 | 0.999033274044223 | 0.00193345191155476 | 0.000966725955777382 |
32 | 0.999517412857955 | 0.000965174284089024 | 0.000482587142044512 |
33 | 0.99948021577258 | 0.00103956845484048 | 0.00051978422742024 |
34 | 0.99936770984952 | 0.00126458030095947 | 0.000632290150479736 |
35 | 0.999445767194721 | 0.00110846561055837 | 0.000554232805279183 |
36 | 0.999143316841927 | 0.00171336631614519 | 0.000856683158072593 |
37 | 0.998700419485973 | 0.00259916102805456 | 0.00129958051402728 |
38 | 0.998422292668105 | 0.00315541466379079 | 0.00157770733189539 |
39 | 0.998558696966537 | 0.00288260606692655 | 0.00144130303346327 |
40 | 0.997938191069724 | 0.00412361786055256 | 0.00206180893027628 |
41 | 0.996922890448426 | 0.00615421910314808 | 0.00307710955157404 |
42 | 0.995987015495642 | 0.00802596900871613 | 0.00401298450435807 |
43 | 0.994255565558746 | 0.0114888688825078 | 0.00574443444125391 |
44 | 0.996491073156339 | 0.00701785368732274 | 0.00350892684366137 |
45 | 0.995585103690526 | 0.00882979261894716 | 0.00441489630947358 |
46 | 0.995671059869435 | 0.00865788026112898 | 0.00432894013056449 |
47 | 0.994368801262332 | 0.0112623974753355 | 0.00563119873766777 |
48 | 0.995129132433622 | 0.00974173513275545 | 0.00487086756637772 |
49 | 0.993336675025641 | 0.0133266499487171 | 0.00666332497435853 |
50 | 0.995511437840783 | 0.00897712431843323 | 0.00448856215921662 |
51 | 0.993717683814867 | 0.0125646323702663 | 0.00628231618513317 |
52 | 0.991804593479247 | 0.016390813041507 | 0.00819540652075348 |
53 | 0.997586542348375 | 0.00482691530324993 | 0.00241345765162496 |
54 | 0.998625537301047 | 0.00274892539790604 | 0.00137446269895302 |
55 | 0.998004369725166 | 0.00399126054966865 | 0.00199563027483432 |
56 | 0.997610301069891 | 0.00477939786021799 | 0.00238969893010899 |
57 | 0.997666693560559 | 0.00466661287888103 | 0.00233330643944051 |
58 | 0.99663149305251 | 0.00673701389497959 | 0.0033685069474898 |
59 | 0.995156053602534 | 0.00968789279493123 | 0.00484394639746562 |
60 | 0.996581720429667 | 0.0068365591406669 | 0.00341827957033345 |
61 | 0.996191888244467 | 0.00761622351106607 | 0.00380811175553304 |
62 | 0.997718617538902 | 0.00456276492219601 | 0.00228138246109801 |
63 | 0.997056323699964 | 0.00588735260007207 | 0.00294367630003603 |
64 | 0.995785325133668 | 0.00842934973266448 | 0.00421467486633224 |
65 | 0.996231303687606 | 0.00753739262478785 | 0.00376869631239392 |
66 | 0.996131128925267 | 0.00773774214946632 | 0.00386887107473316 |
67 | 0.994894928072772 | 0.0102101438544568 | 0.00510507192722842 |
68 | 0.998571866004119 | 0.00285626799176132 | 0.00142813399588066 |
69 | 0.997992309690926 | 0.00401538061814701 | 0.00200769030907351 |
70 | 0.997244866629616 | 0.00551026674076767 | 0.00275513337038383 |
71 | 0.997213072366989 | 0.00557385526602253 | 0.00278692763301127 |
72 | 0.997416790056502 | 0.00516641988699689 | 0.00258320994349845 |
73 | 0.998035924313452 | 0.00392815137309614 | 0.00196407568654807 |
74 | 0.998135764649466 | 0.00372847070106799 | 0.00186423535053399 |
75 | 0.999651393432421 | 0.000697213135158282 | 0.000348606567579141 |
76 | 0.999751711661013 | 0.000496576677974626 | 0.000248288338987313 |
77 | 0.999740442761741 | 0.00051911447651751 | 0.000259557238258755 |
78 | 0.999820526181609 | 0.000358947636781386 | 0.000179473818390693 |
79 | 0.999770368996989 | 0.000459262006021929 | 0.000229631003010965 |
80 | 0.999819077625093 | 0.000361844749813814 | 0.000180922374906907 |
81 | 0.999727020385658 | 0.000545959228683725 | 0.000272979614341863 |
82 | 0.999991199990875 | 1.76000182493079e-05 | 8.80000912465397e-06 |
83 | 0.99998427175726 | 3.14564854806187e-05 | 1.57282427403093e-05 |
84 | 0.99998122605137 | 3.75478972604318e-05 | 1.87739486302159e-05 |
85 | 0.999985833294747 | 2.83334105065767e-05 | 1.41667052532884e-05 |
86 | 0.999975097623549 | 4.98047529015498e-05 | 2.49023764507749e-05 |
87 | 0.99999763081563 | 4.73836873919056e-06 | 2.36918436959528e-06 |
88 | 0.999997284070284 | 5.43185943224249e-06 | 2.71592971612125e-06 |
89 | 0.99999537721085 | 9.24557829914052e-06 | 4.62278914957026e-06 |
90 | 0.999991598003277 | 1.68039934464315e-05 | 8.40199672321573e-06 |
91 | 0.99998603727626 | 2.79254474794478e-05 | 1.39627237397239e-05 |
92 | 0.999980817928205 | 3.83641435892144e-05 | 1.91820717946072e-05 |
93 | 0.999989040838988 | 2.19183220244569e-05 | 1.09591610122284e-05 |
94 | 0.999979659091765 | 4.06818164696906e-05 | 2.03409082348453e-05 |
95 | 0.999976488235755 | 4.70235284891504e-05 | 2.35117642445752e-05 |
96 | 0.999995436102995 | 9.12779401080973e-06 | 4.56389700540487e-06 |
97 | 0.999992409338883 | 1.51813222347419e-05 | 7.59066111737097e-06 |
98 | 0.999986628472072 | 2.67430558553712e-05 | 1.33715279276856e-05 |
99 | 0.99998055798108 | 3.88840378396182e-05 | 1.94420189198091e-05 |
100 | 0.999974338717287 | 5.13225654251608e-05 | 2.56612827125804e-05 |
101 | 0.999952922543368 | 9.41549132645972e-05 | 4.70774566322986e-05 |
102 | 0.999959557470747 | 8.08850585054172e-05 | 4.04425292527086e-05 |
103 | 0.999958146064349 | 8.37078713025948e-05 | 4.18539356512974e-05 |
104 | 0.999923642522566 | 0.000152714954868011 | 7.63574774340055e-05 |
105 | 0.999888390594541 | 0.000223218810917575 | 0.000111609405458788 |
106 | 0.999802335424595 | 0.000395329150809798 | 0.000197664575404899 |
107 | 0.999645873457758 | 0.000708253084483461 | 0.000354126542241731 |
108 | 0.999481547400182 | 0.00103690519963694 | 0.000518452599818472 |
109 | 0.999105802170122 | 0.00178839565975631 | 0.000894197829878157 |
110 | 0.998521018558805 | 0.00295796288239024 | 0.00147898144119512 |
111 | 0.998861567628668 | 0.00227686474266461 | 0.00113843237133231 |
112 | 0.998181103972415 | 0.0036377920551697 | 0.00181889602758485 |
113 | 0.99893055393395 | 0.00213889213210001 | 0.00106944606605 |
114 | 0.998162803373045 | 0.00367439325390964 | 0.00183719662695482 |
115 | 0.996863310777182 | 0.00627337844563503 | 0.00313668922281752 |
116 | 0.994782153529188 | 0.0104356929416231 | 0.00521784647081156 |
117 | 0.999874072757012 | 0.000251854485975237 | 0.000125927242987619 |
118 | 0.999939189824717 | 0.000121620350565478 | 6.08101752827389e-05 |
119 | 0.999951555615174 | 9.68887696510776e-05 | 4.84443848255388e-05 |
120 | 0.999961237591285 | 7.75248174302045e-05 | 3.87624087151023e-05 |
121 | 0.999907688336609 | 0.000184623326781327 | 9.23116633906637e-05 |
122 | 0.999947763927953 | 0.000104472144093897 | 5.22360720469486e-05 |
123 | 0.999926687094672 | 0.00014662581065548 | 7.33129053277401e-05 |
124 | 0.999813874340736 | 0.000372251318528685 | 0.000186125659264342 |
125 | 0.999549733831118 | 0.000900532337763217 | 0.000450266168881608 |
126 | 0.999007218595985 | 0.00198556280802992 | 0.000992781404014961 |
127 | 0.997702210831329 | 0.00459557833734118 | 0.00229778916867059 |
128 | 0.998282169747529 | 0.00343566050494141 | 0.0017178302524707 |
129 | 0.995944886618988 | 0.00811022676202399 | 0.00405511338101199 |
130 | 0.99073357313673 | 0.0185328537265401 | 0.00926642686327005 |
131 | 0.980168592791989 | 0.0396628144160229 | 0.0198314072080114 |
132 | 0.998914065312003 | 0.00217186937599381 | 0.0010859346879969 |
133 | 0.99650688386788 | 0.00698623226423988 | 0.00349311613211994 |
134 | 0.988377955123784 | 0.0232440897524314 | 0.0116220448762157 |
135 | 0.966562760655052 | 0.0668744786898957 | 0.0334372393449478 |
136 | 0.903492921920708 | 0.193014156158585 | 0.0965070780792923 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 96 | 0.744186046511628 | NOK |
5% type I error level | 111 | 0.86046511627907 | NOK |
10% type I error level | 116 | 0.89922480620155 | NOK |