Multiple Linear Regression - Estimated Regression Equation |
CompendiumViews[t] = + 1.14044187533976 + 0.657469439225472BloggedComputations[t] + 13.7595952663329ReviewedCompendiums[t] -2.92441075041618submittedfeedback[t] + 9.70613089632181Sharedcompendiums[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) | 1.14044187533976 | 4.952567 | 0.2303 | 0.818218 | 0.409109 |
BloggedComputations | 0.657469439225472 | 0.167989 | 3.9138 | 0.000142 | 7.1e-05 |
ReviewedCompendiums | 13.7595952663329 | 2.935782 | 4.6869 | 7e-06 | 3e-06 |
submittedfeedback | -2.92441075041618 | 0.745027 | -3.9252 | 0.000136 | 6.8e-05 |
Sharedcompendiums | 9.70613089632181 | 1.942524 | 4.9967 | 2e-06 | 1e-06 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.665476981780259 |
R-squared | 0.442859613279363 |
Adjusted R-squared | 0.426826796395315 |
F-TEST (value) | 27.6220714352457 |
F-TEST (DF numerator) | 4 |
F-TEST (DF denominator) | 139 |
p-value | 1.11022302462516e-16 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 25.2090325802105 |
Sum Squared Residuals | 88333.8499845862 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 68 | 19.9973059086119 | 48.0026940913881 |
2 | 17 | 32.6683131478794 | -15.6683131478794 |
3 | 1 | 1.14044187533979 | -0.140441875339792 |
4 | 114 | 73.6055243060301 | 40.3944756939699 |
5 | 95 | 62.9707894889599 | 32.0292105110401 |
6 | 148 | 108.133007146055 | 39.8669928539447 |
7 | 56 | 51.3883702767578 | 4.61162972324217 |
8 | 26 | 51.6147211281434 | -25.6147211281434 |
9 | 63 | 55.0811562182543 | 7.9188437817457 |
10 | 96 | 63.9507297813671 | 32.0492702186329 |
11 | 74 | 46.2297167325623 | 27.7702832674377 |
12 | 65 | 64.3752723144027 | 0.624727685597311 |
13 | 40 | 34.572318013359 | 5.42768198664101 |
14 | 173 | 80.4876591780568 | 92.5123408219432 |
15 | 28 | 61.308324291603 | -33.308324291603 |
16 | 55 | 60.7403987993693 | -5.74039879936929 |
17 | 58 | 65.6902111928536 | -7.69021119285363 |
18 | 25 | 50.274726783968 | -25.274726783968 |
19 | 103 | 70.2877366096879 | 32.7122633903121 |
20 | 29 | 58.5566700037171 | -29.5566700037171 |
21 | 31 | 34.5205157082811 | -3.5205157082811 |
22 | 43 | 61.4767627165254 | -18.4767627165254 |
23 | 74 | 26.4517945435919 | 47.5482054564081 |
24 | 99 | 65.654284948 | 33.345715052 |
25 | 25 | 57.107403548137 | -32.107403548137 |
26 | 69 | 28.0660270733011 | 40.9339729266989 |
27 | 62 | 51.8408506694608 | 10.1591493305392 |
28 | 25 | 57.7110339751562 | -32.7110339751562 |
29 | 38 | 52.2721905673688 | -14.2721905673688 |
30 | 57 | 28.7234965125266 | 28.2765034874734 |
31 | 52 | 43.157162365204 | 8.84283763479597 |
32 | 91 | 96.5101223413236 | -5.5101223413236 |
33 | 48 | 63.2450276744939 | -15.2450276744939 |
34 | 52 | 17.6360599926854 | 34.3639400073146 |
35 | 35 | 55.9715525636696 | -20.9715525636696 |
36 | 0 | 1.14044187533978 | -1.14044187533978 |
37 | 31 | 31.143624565162 | -0.143624565161961 |
38 | 107 | 72.6902938049585 | 34.3097061950415 |
39 | 242 | 129.966991078326 | 112.033008921674 |
40 | 41 | 69.1566462829646 | -28.1566462829646 |
41 | 57 | 57.0178596011452 | -0.0178596011452068 |
42 | 32 | 37.2399374121748 | -5.23993741217478 |
43 | 17 | 41.5610639129155 | -24.5610639129155 |
44 | 36 | 54.7461576322105 | -18.7461576322105 |
45 | 29 | 51.2797225420995 | -22.2797225420995 |
46 | 22 | 43.2341785793336 | -21.2341785793336 |
47 | 21 | 52.5003568158147 | -31.5003568158147 |
48 | 41 | 40.7370343125687 | 0.262965687431316 |
49 | 64 | 44.1371026576111 | 19.8628973423889 |
50 | 71 | 39.6011833281013 | 31.3988166718987 |
51 | 28 | 48.6171462677863 | -20.6171462677863 |
52 | 36 | 30.9645366711784 | 5.03546332882161 |
53 | 45 | 39.6011833281013 | 5.39881667189869 |
54 | 22 | 44.9504827888969 | -22.9504827888969 |
55 | 27 | 72.1985388400399 | -45.1985388400399 |
56 | 38 | 57.0948758152748 | -19.0948758152748 |
57 | 26 | 35.3877348517731 | -9.38773485177312 |
58 | 41 | 42.8412675668267 | -1.8412675668267 |
59 | 21 | 45.6974961751141 | -24.6974961751141 |
60 | 28 | 68.8322971659818 | -40.8322971659818 |
61 | 36 | 36.1936303746992 | -0.193630374699196 |
62 | 58 | 28.8130404595184 | 29.1869595404816 |
63 | 65 | 68.9736434180515 | -3.9736434180515 |
64 | 29 | 60.6508548523775 | -31.6508548523775 |
65 | 21 | 30.1491198327643 | -9.14911983276426 |
66 | 19 | 59.5466353884388 | -40.5466353884388 |
67 | 55 | 84.7906516013767 | -29.7906516013767 |
68 | 119 | 72.9993912384634 | 46.0006087615366 |
69 | 34 | 37.0608495181912 | -3.0608495181912 |
70 | 25 | 21.7599645220218 | 3.2400354779782 |
71 | 113 | 64.7515821797906 | 48.2484178202094 |
72 | 46 | 26.3245089546862 | 19.6754910453138 |
73 | 28 | 54.6566136852187 | -26.6566136852187 |
74 | 63 | 55.8586101046864 | 7.14138989531359 |
75 | 52 | 51.315427476885 | 0.68457252311496 |
76 | 35 | 29.4041431536754 | 5.5958568463246 |
77 | 32 | 38.017612608675 | -6.01761260867501 |
78 | 45 | 32.1899316026376 | 12.8100683973625 |
79 | 42 | 48.3955560741448 | -6.39555607414476 |
80 | 28 | 35.3452325521152 | -7.34523255211518 |
81 | 32 | 63.4019080767999 | -31.4019080767999 |
82 | 32 | 43.8146318044295 | -11.8146318044295 |
83 | 27 | 32.9369449888548 | -5.93694498885481 |
84 | 69 | 43.6355439104459 | 25.3644560895541 |
85 | 30 | 30.9645366711784 | -0.964536671178393 |
86 | 48 | 33.7735023220638 | 14.2264976779362 |
87 | 57 | 50.0004885984341 | 6.99951140156591 |
88 | 36 | 33.0264889358466 | 2.9735110641534 |
89 | 20 | 50.376798463822 | -30.376798463822 |
90 | 54 | 49.9838874513151 | 4.01611254868489 |
91 | 26 | 32.010843708654 | -6.01084370865399 |
92 | 58 | 55.1349952304606 | 2.86500476953942 |
93 | 35 | 30.3966111789447 | 4.60338882105529 |
94 | 28 | 21.9697142262883 | 6.03028577371167 |
95 | 8 | 27.250610234887 | -19.250610234887 |
96 | 96 | 43.157162365204 | 52.842837634796 |
97 | 50 | 52.9296600065943 | -2.92966000659431 |
98 | 15 | 17.5983183507715 | -2.59831835077151 |
99 | 65 | 35.835454586732 | 29.164545413268 |
100 | 33 | 44.4766405913309 | -11.4766405913309 |
101 | 7 | 11.3865604042279 | -4.38656040422795 |
102 | 17 | 39.6741261279741 | -22.6741261279741 |
103 | 55 | 35.0884412005148 | 19.9115587994852 |
104 | 32 | 45.7040722299184 | -13.7040722299184 |
105 | 22 | 28.9025844065102 | -6.90258440651019 |
106 | 41 | 35.9720401810577 | 5.02795981894231 |
107 | 50 | 44.7713948949133 | 5.2286051050867 |
108 | 7 | 8.55169360080354 | -1.55169360080354 |
109 | 0 | 1.14044187533978 | -1.14044187533978 |
110 | 26 | 39.9900209263514 | -13.9900209263514 |
111 | 22 | 23.4637409987229 | -1.46374099872285 |
112 | 26 | 46.175877720356 | -20.175877720356 |
113 | 37 | 49.7318567574587 | -12.7318567574587 |
114 | 29 | 31.968341408996 | -2.96834140899604 |
115 | 0 | 1.14044187533978 | -1.14044187533978 |
116 | 0 | 1.14044187533978 | -1.14044187533978 |
117 | 42 | 46.3549656143396 | -4.35496561433959 |
118 | 51 | 96.4281241593819 | -45.4281241593819 |
119 | 77 | 45.5415854830539 | 31.4584145169462 |
120 | 32 | 35.0884412005148 | -3.08844120051479 |
121 | 63 | 10.7290909650025 | 52.2709090349975 |
122 | 50 | 62.5462469559243 | -12.5462469559243 |
123 | 18 | 27.3190136870839 | -9.3190136870839 |
124 | 37 | 62.7019363379165 | -25.7019363379165 |
125 | 23 | 47.4119221208763 | -24.4119221208763 |
126 | 19 | 21.5451716932527 | -2.54517169325271 |
127 | 39 | 77.3753264616562 | -38.3753264616562 |
128 | 38 | 30.4861551259365 | 7.51384487406351 |
129 | 55 | 47.1019790005569 | 7.89802099944314 |
130 | 22 | 5.92181584390166 | 16.0781841560983 |
131 | 7 | 1.14044187533978 | 5.85955812466022 |
132 | 21 | 59.7561637826373 | -38.7561637826373 |
133 | 5 | 3.20239414000798 | 1.79760585999202 |
134 | 21 | 18.5032791361774 | 2.4967208638226 |
135 | 1 | 4.42778907146715 | -3.42778907146715 |
136 | 22 | 23.4491765587322 | -1.44917655873225 |
137 | 0 | 1.14044187533978 | -1.14044187533978 |
138 | 31 | 29.828685686711 | 1.17131431328898 |
139 | 25 | 41.7054165823593 | -16.7054165823593 |
140 | 0 | 10.8465727716616 | -10.8465727716616 |
141 | 4 | 1.14044187533978 | 2.85955812466022 |
142 | 20 | 40.6540664203812 | -20.6540664203812 |
143 | 29 | 15.5741077280172 | 13.4258922719828 |
144 | 33 | 29.6495977927274 | 3.35040220727255 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
8 | 0.910635208641363 | 0.178729582717275 | 0.0893647913586373 |
9 | 0.840910241852367 | 0.318179516295267 | 0.159089758147633 |
10 | 0.765038726004919 | 0.469922547990163 | 0.234961273995081 |
11 | 0.66912478621112 | 0.66175042757776 | 0.33087521378888 |
12 | 0.560615037187919 | 0.878769925624161 | 0.439384962812081 |
13 | 0.460075701650196 | 0.920151403300392 | 0.539924298349804 |
14 | 0.456332748248799 | 0.912665496497598 | 0.543667251751201 |
15 | 0.971640930069525 | 0.0567181398609508 | 0.0283590699304754 |
16 | 0.972944281357361 | 0.0541114372852777 | 0.0270557186426388 |
17 | 0.961880062031429 | 0.0762398759371429 | 0.0381199379685715 |
18 | 0.976484931808599 | 0.0470301363828019 | 0.0235150681914009 |
19 | 0.976545919953252 | 0.0469081600934956 | 0.0234540800467478 |
20 | 0.982794984661623 | 0.0344100306767548 | 0.0172050153383774 |
21 | 0.973693725812711 | 0.0526125483745784 | 0.0263062741872892 |
22 | 0.978536301686983 | 0.0429273966260348 | 0.0214636983130174 |
23 | 0.990660492023874 | 0.0186790159522526 | 0.00933950797612629 |
24 | 0.9908357847969 | 0.0183284304062005 | 0.00916421520310023 |
25 | 0.994018090117897 | 0.0119638197642069 | 0.00598190988210347 |
26 | 0.996301643566643 | 0.00739671286671428 | 0.00369835643335714 |
27 | 0.994398774775773 | 0.0112024504484536 | 0.00560122522422682 |
28 | 0.996631588444996 | 0.00673682311000833 | 0.00336841155500417 |
29 | 0.995753543507646 | 0.008492912984708 | 0.004246456492354 |
30 | 0.99566476583769 | 0.00867046832462036 | 0.00433523416231018 |
31 | 0.993560093875602 | 0.0128798122487962 | 0.0064399061243981 |
32 | 0.991582290534892 | 0.0168354189302156 | 0.0084177094651078 |
33 | 0.989543547191734 | 0.0209129056165317 | 0.0104564528082658 |
34 | 0.989905743945579 | 0.0201885121088414 | 0.0100942560544207 |
35 | 0.989666919368687 | 0.0206661612626256 | 0.0103330806313128 |
36 | 0.985226183458566 | 0.0295476330828688 | 0.0147738165414344 |
37 | 0.980092259229969 | 0.0398154815400615 | 0.0199077407700307 |
38 | 0.984003301307217 | 0.0319933973855652 | 0.0159966986927826 |
39 | 0.999995364179534 | 9.27164093283227e-06 | 4.63582046641614e-06 |
40 | 0.999997328221249 | 5.34355750123541e-06 | 2.67177875061771e-06 |
41 | 0.999995165667875 | 9.6686642501223e-06 | 4.83433212506115e-06 |
42 | 0.999993006238338 | 1.39875233241884e-05 | 6.99376166209421e-06 |
43 | 0.999993961143733 | 1.20777125344418e-05 | 6.03885626722088e-06 |
44 | 0.999993322955226 | 1.33540895470868e-05 | 6.67704477354338e-06 |
45 | 0.999993064371459 | 1.38712570829939e-05 | 6.93562854149697e-06 |
46 | 0.999993676120792 | 1.26477584168546e-05 | 6.32387920842732e-06 |
47 | 0.999996613847445 | 6.77230510973992e-06 | 3.38615255486996e-06 |
48 | 0.999993956441333 | 1.20871173347248e-05 | 6.04355866736239e-06 |
49 | 0.999993070737005 | 1.38585259896582e-05 | 6.92926299482912e-06 |
50 | 0.999995495290666 | 9.00941866758306e-06 | 4.50470933379153e-06 |
51 | 0.999995842251285 | 8.31549742997881e-06 | 4.15774871498941e-06 |
52 | 0.999992704441591 | 1.45911168184506e-05 | 7.29555840922532e-06 |
53 | 0.999987496154049 | 2.50076919016613e-05 | 1.25038459508306e-05 |
54 | 0.999988075308044 | 2.38493839115942e-05 | 1.19246919557971e-05 |
55 | 0.999997490211432 | 5.01957713673195e-06 | 2.50978856836597e-06 |
56 | 0.999996423431869 | 7.15313626143449e-06 | 3.57656813071724e-06 |
57 | 0.999994503603104 | 1.09927937928851e-05 | 5.49639689644253e-06 |
58 | 0.999991509186263 | 1.69816274745649e-05 | 8.49081373728245e-06 |
59 | 0.999993353229065 | 1.32935418696052e-05 | 6.64677093480258e-06 |
60 | 0.999996542317091 | 6.91536581804834e-06 | 3.45768290902417e-06 |
61 | 0.999993952126735 | 1.20957465306759e-05 | 6.04787326533795e-06 |
62 | 0.999995401999634 | 9.1960007323486e-06 | 4.5980003661743e-06 |
63 | 0.999994033697589 | 1.19326048212133e-05 | 5.96630241060666e-06 |
64 | 0.999994460663229 | 1.10786735430984e-05 | 5.5393367715492e-06 |
65 | 0.999991253245796 | 1.7493508408414e-05 | 8.74675420420702e-06 |
66 | 0.999997308218017 | 5.38356396523963e-06 | 2.69178198261981e-06 |
67 | 0.999997136838105 | 5.72632378948276e-06 | 2.86316189474138e-06 |
68 | 0.999999829584345 | 3.40831310276354e-07 | 1.70415655138177e-07 |
69 | 0.999999692141945 | 6.15716109244932e-07 | 3.07858054622466e-07 |
70 | 0.999999431781914 | 1.13643617275712e-06 | 5.68218086378561e-07 |
71 | 0.999999998189367 | 3.62126569811825e-09 | 1.81063284905912e-09 |
72 | 0.999999998748284 | 2.50343150932453e-09 | 1.25171575466226e-09 |
73 | 0.999999998727562 | 2.54487597092198e-09 | 1.27243798546099e-09 |
74 | 0.999999999547759 | 9.04482881520476e-10 | 4.52241440760238e-10 |
75 | 0.999999999072027 | 1.85594582575148e-09 | 9.27972912875738e-10 |
76 | 0.999999998045431 | 3.90913859158575e-09 | 1.95456929579287e-09 |
77 | 0.999999995888947 | 8.22210632910617e-09 | 4.11105316455308e-09 |
78 | 0.99999999287383 | 1.42523406012255e-08 | 7.12617030061275e-09 |
79 | 0.999999986481434 | 2.70371328125667e-08 | 1.35185664062833e-08 |
80 | 0.999999974767841 | 5.04643183378049e-08 | 2.52321591689024e-08 |
81 | 0.999999981886515 | 3.6226969704868e-08 | 1.8113484852434e-08 |
82 | 0.999999979538392 | 4.09232166272499e-08 | 2.0461608313625e-08 |
83 | 0.999999966252481 | 6.74950370775478e-08 | 3.37475185387739e-08 |
84 | 0.999999976201209 | 4.75975830482832e-08 | 2.37987915241416e-08 |
85 | 0.999999954662236 | 9.06755279244773e-08 | 4.53377639622386e-08 |
86 | 0.999999916205207 | 1.67589585889433e-07 | 8.37947929447163e-08 |
87 | 0.999999833269842 | 3.33460316586795e-07 | 1.66730158293397e-07 |
88 | 0.999999674068463 | 6.51863073060909e-07 | 3.25931536530455e-07 |
89 | 0.99999971008004 | 5.79839920923901e-07 | 2.89919960461951e-07 |
90 | 0.999999586829952 | 8.26340096277805e-07 | 4.13170048138902e-07 |
91 | 0.999999208905998 | 1.58218800336624e-06 | 7.91094001683122e-07 |
92 | 0.999998908891796 | 2.18221640763933e-06 | 1.09110820381966e-06 |
93 | 0.999997958225951 | 4.08354809840501e-06 | 2.04177404920251e-06 |
94 | 0.999996158596338 | 7.68280732375914e-06 | 3.84140366187957e-06 |
95 | 0.999995686022958 | 8.62795408307358e-06 | 4.31397704153679e-06 |
96 | 0.999999933680492 | 1.32639016607563e-07 | 6.63195083037817e-08 |
97 | 0.999999853999914 | 2.92000172777666e-07 | 1.46000086388833e-07 |
98 | 0.999999695015863 | 6.09968273004016e-07 | 3.04984136502008e-07 |
99 | 0.999999826867131 | 3.46265738297626e-07 | 1.73132869148813e-07 |
100 | 0.999999667205961 | 6.65588078337187e-07 | 3.32794039168593e-07 |
101 | 0.999999291986241 | 1.41602751833341e-06 | 7.08013759166703e-07 |
102 | 0.999998877535411 | 2.2449291774456e-06 | 1.1224645887228e-06 |
103 | 0.999998771835677 | 2.45632864509219e-06 | 1.22816432254609e-06 |
104 | 0.999997532159059 | 4.93568188120598e-06 | 2.46784094060299e-06 |
105 | 0.999995635079149 | 8.72984170221102e-06 | 4.36492085110551e-06 |
106 | 0.999991600241643 | 1.67995167133773e-05 | 8.39975835668866e-06 |
107 | 0.999986845695179 | 2.6308609641962e-05 | 1.3154304820981e-05 |
108 | 0.999974805171333 | 5.03896573338682e-05 | 2.51948286669341e-05 |
109 | 0.99995482528943 | 9.03494211395983e-05 | 4.51747105697991e-05 |
110 | 0.999920841073062 | 0.000158317853875244 | 7.91589269376218e-05 |
111 | 0.999849942400118 | 0.000300115199763868 | 0.000150057599881934 |
112 | 0.999827143460867 | 0.000345713078265116 | 0.000172856539132558 |
113 | 0.999755015285522 | 0.000489969428955791 | 0.000244984714477896 |
114 | 0.999552149100826 | 0.00089570179834757 | 0.000447850899173785 |
115 | 0.999242772213396 | 0.00151445557320715 | 0.000757227786603577 |
116 | 0.99876379196356 | 0.00247241607287967 | 0.00123620803643984 |
117 | 0.997860455675616 | 0.00427908864876821 | 0.0021395443243841 |
118 | 0.997926237768284 | 0.00414752446343292 | 0.00207376223171646 |
119 | 0.999716959084888 | 0.000566081830224086 | 0.000283040915112043 |
120 | 0.999441588248932 | 0.00111682350213627 | 0.000558411751068135 |
121 | 0.99999999138818 | 1.72236404529182e-08 | 8.61182022645909e-09 |
122 | 0.999999964302282 | 7.13954363582444e-08 | 3.56977181791222e-08 |
123 | 0.999999967324449 | 6.53511020103706e-08 | 3.26755510051853e-08 |
124 | 0.999999867822714 | 2.64354572339659e-07 | 1.3217728616983e-07 |
125 | 0.999999466763725 | 1.06647255009605e-06 | 5.33236275048025e-07 |
126 | 0.999998044435778 | 3.91112844427639e-06 | 1.9555642221382e-06 |
127 | 0.999996217931032 | 7.56413793644881e-06 | 3.7820689682244e-06 |
128 | 0.999985400995921 | 2.91980081577637e-05 | 1.45990040788819e-05 |
129 | 0.999950900667114 | 9.81986657725857e-05 | 4.90993328862929e-05 |
130 | 0.999964422745515 | 7.11545089704929e-05 | 3.55772544852464e-05 |
131 | 0.999870671272546 | 0.000258657454908256 | 0.000129328727454128 |
132 | 0.999525267893836 | 0.000949464212327694 | 0.000474732106163847 |
133 | 0.998086025008094 | 0.00382794998381147 | 0.00191397499190573 |
134 | 0.992956042375034 | 0.0140879152499321 | 0.00704395762496605 |
135 | 0.978677500038499 | 0.042644999923003 | 0.0213224999615015 |
136 | 0.972131472930112 | 0.0557370541397766 | 0.0278685270698883 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 99 | 0.767441860465116 | NOK |
5% type I error level | 117 | 0.906976744186046 | NOK |
10% type I error level | 122 | 0.945736434108527 | NOK |