Multiple Linear Regression - Estimated Regression Equation |
Time[t] = + 9287.51731199876 + 1386.77221854862Bloggings[t] -487.43943310613Reviews[t] + 692.875950836225Feedbackm[t] + 0.500011054415348Characters[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) | 9287.51731199876 | 6896.233436 | 1.3468 | 0.180252 | 0.090126 |
Bloggings | 1386.77221854862 | 207.855572 | 6.6718 | 0 | 0 |
Reviews | -487.43943310613 | 716.830247 | -0.68 | 0.49764 | 0.24882 |
Feedbackm | 692.875950836225 | 214.562558 | 3.2292 | 0.001549 | 0.000774 |
Characters | 0.500011054415348 | 0.183815 | 2.7202 | 0.007358 | 0.003679 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.838510368086737 |
R-squared | 0.703099637388955 |
Adjusted R-squared | 0.694555742062018 |
F-TEST (value) | 82.2926323982779 |
F-TEST (DF numerator) | 4 |
F-TEST (DF denominator) | 139 |
p-value | 0 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 32676.0504037608 |
Sum Squared Residuals | 148413673528.487 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 127476 | 78695.3731455781 | 48780.6268544219 |
2 | 130358 | 103573.025524399 | 26784.9744756006 |
3 | 7215 | 9999.03304243177 | -2784.03304243176 |
4 | 112861 | 114667.145298805 | -1806.14529880473 |
5 | 210171 | 199267.123976254 | 10903.8760237464 |
6 | 393802 | 284776.996375535 | 109025.003624465 |
7 | 117604 | 105904.723894293 | 11699.2761057069 |
8 | 126029 | 146312.589861899 | -20283.5898618989 |
9 | 99729 | 100805.358036947 | -1076.35803694697 |
10 | 256310 | 162232.220238254 | 94077.7797617456 |
11 | 113066 | 126118.776082949 | -13052.7760829491 |
12 | 156212 | 162691.080554977 | -6479.08055497742 |
13 | 69952 | 69927.2320068463 | 24.7679931537005 |
14 | 152673 | 141616.179145377 | 11056.8208546232 |
15 | 125841 | 105209.146789242 | 20631.8532107575 |
16 | 125769 | 137847.509484448 | -12078.5094844479 |
17 | 123467 | 208059.090354869 | -84592.0903548686 |
18 | 56232 | 35130.4275462732 | 21101.5724537268 |
19 | 108244 | 145813.207541058 | -37569.2075410578 |
20 | 22762 | 65245.6783396947 | -42483.6783396947 |
21 | 48554 | 54233.9968977896 | -5679.99689778959 |
22 | 178697 | 192808.488770127 | -14111.4887701268 |
23 | 140857 | 98188.4339456141 | 42668.5660543859 |
24 | 93773 | 106040.974507965 | -12267.9745079648 |
25 | 133398 | 126671.105329885 | 6726.89467011527 |
26 | 113933 | 94802.2631883177 | 19130.7368116823 |
27 | 144781 | 141783.655007559 | 2997.34499244143 |
28 | 140711 | 146103.396605525 | -5392.39660552475 |
29 | 283337 | 166135.176809189 | 117201.823190811 |
30 | 158146 | 111423.192751331 | 46722.8072486692 |
31 | 123344 | 116106.787086397 | 7237.21291360318 |
32 | 157640 | 125354.246432261 | 32285.7535677393 |
33 | 91279 | 99005.2053427375 | -7726.20534273754 |
34 | 189374 | 168797.881836418 | 20576.1181635824 |
35 | 167915 | 130436.849686507 | 37478.1503134931 |
36 | 0 | 9287.51731199875 | -9287.51731199875 |
37 | 175403 | 128457.237393738 | 46945.7626062622 |
38 | 92342 | 102170.262879938 | -9828.26287993834 |
39 | 100023 | 119493.943587185 | -19470.9435871852 |
40 | 178277 | 216753.824201106 | -38476.8242011055 |
41 | 145062 | 149063.360543713 | -4001.3605437132 |
42 | 110980 | 123516.81310654 | -12536.8131065404 |
43 | 86039 | 117668.035138521 | -31629.0351385205 |
44 | 120821 | 125504.133182189 | -4683.13318218863 |
45 | 95535 | 143918.763814449 | -48383.7638144488 |
46 | 109894 | 102714.207414325 | 7179.79258567451 |
47 | 61554 | 62163.1487345142 | -609.14873451415 |
48 | 156520 | 134273.141985908 | 22246.858014092 |
49 | 159121 | 149105.749894256 | 10015.250105744 |
50 | 129362 | 130506.799681239 | -1144.79968123943 |
51 | 48188 | 53400.5255108255 | -5212.52551082547 |
52 | 95461 | 119079.049823121 | -23618.0498231213 |
53 | 229864 | 158586.85076504 | 71277.1492349599 |
54 | 180317 | 117332.548510383 | 62984.4514896173 |
55 | 150640 | 146873.364739847 | 3766.63526015297 |
56 | 104416 | 75274.534098609 | 29141.465901391 |
57 | 165098 | 119483.878220667 | 45614.121779333 |
58 | 63205 | 92710.7039180856 | -29505.7039180856 |
59 | 100056 | 128902.156095155 | -28846.1560951554 |
60 | 137214 | 112204.471937977 | 25009.5280620228 |
61 | 99630 | 128348.77765146 | -28718.7776514601 |
62 | 84557 | 99223.0757691934 | -14666.0757691934 |
63 | 91199 | 97923.7498967812 | -6724.7498967812 |
64 | 83419 | 92088.2544526632 | -8669.2544526632 |
65 | 101723 | 83392.7160801534 | 18330.2839198466 |
66 | 94982 | 126604.455499 | -31622.4554990004 |
67 | 129700 | 162718.014600913 | -33018.0146009127 |
68 | 110708 | 149058.308973992 | -38350.3089739918 |
69 | 81518 | 108193.733818163 | -26675.7338181635 |
70 | 31970 | 37164.4861978392 | -5194.48619783917 |
71 | 192268 | 113886.324749849 | 78381.6752501513 |
72 | 87611 | 72840.6178108817 | 14770.3821891183 |
73 | 77890 | 136811.452722501 | -58921.4527225015 |
74 | 83261 | 83421.8406498836 | -160.840649883582 |
75 | 116290 | 179664.644473903 | -63374.6444739031 |
76 | 56544 | 50874.5464888863 | 5669.45351111367 |
77 | 116173 | 140925.55153575 | -24752.5515357499 |
78 | 111488 | 139404.717353209 | -27916.7173532091 |
79 | 60138 | 63688.1722750077 | -3550.17227500774 |
80 | 73422 | 99043.5809446578 | -25621.5809446578 |
81 | 67751 | 122398.599096599 | -54647.5990965991 |
82 | 213351 | 119799.440694729 | 93551.5593052707 |
83 | 51185 | 48012.785976923 | 3172.21402307702 |
84 | 97181 | 102261.792680349 | -5080.79268034897 |
85 | 45100 | 65742.3984606072 | -20642.3984606073 |
86 | 115801 | 96127.1863727201 | 19673.8136272799 |
87 | 185664 | 162037.002518712 | 23626.9974812878 |
88 | 71960 | 108080.13293271 | -36120.1329327098 |
89 | 76441 | 100904.626725153 | -24463.6267251532 |
90 | 103613 | 97775.261518763 | 5837.73848123701 |
91 | 98707 | 114965.488321261 | -16258.4883212614 |
92 | 126527 | 148229.167658277 | -21702.1676582766 |
93 | 136781 | 114019.890465258 | 22761.1095347416 |
94 | 105863 | 88391.4269096845 | 17471.5730903155 |
95 | 38775 | 60562.6324627367 | -21787.6324627367 |
96 | 179984 | 141958.316273173 | 38025.6837268265 |
97 | 164808 | 195881.53700816 | -31073.5370081604 |
98 | 19349 | 28775.6597769725 | -9426.65977697247 |
99 | 146824 | 101371.529061334 | 45452.4709386658 |
100 | 108660 | 103481.643515023 | 5178.35648497733 |
101 | 43803 | 22365.9668328238 | 21437.0331671762 |
102 | 47062 | 97758.5085958477 | -50696.5085958477 |
103 | 110845 | 116120.803651139 | -5275.80365113886 |
104 | 92517 | 76884.7029846646 | 15632.2970153354 |
105 | 58660 | 59609.1970055324 | -949.197005532366 |
106 | 27676 | 18961.9865635082 | 8714.01343649181 |
107 | 98550 | 145826.405577987 | -47276.405577987 |
108 | 43284 | 27560.9838449157 | 15723.0161550843 |
109 | 0 | 9287.51731199875 | -9287.51731199875 |
110 | 66016 | 137051.527029497 | -71035.527029497 |
111 | 57359 | 88353.5460831303 | -30994.5460831303 |
112 | 96933 | 104049.110806174 | -7116.11080617419 |
113 | 70369 | 123349.1516804 | -52980.1516804 |
114 | 65494 | 80085.840842901 | -14591.840842901 |
115 | 3616 | 9287.51731199875 | -5671.51731199875 |
116 | 0 | 9287.51731199875 | -9287.51731199875 |
117 | 143931 | 106525.789394293 | 37405.2106057068 |
118 | 109894 | 145772.095547483 | -35878.0955474833 |
119 | 122973 | 78614.5919345294 | 44358.4080654706 |
120 | 84336 | 102822.078199355 | -18486.0781993546 |
121 | 43410 | 21976.6420035707 | 21433.3579964293 |
122 | 136250 | 152709.703229463 | -16459.7032294627 |
123 | 79015 | 81052.1928990314 | -2037.19289903145 |
124 | 92937 | 115789.037372958 | -22852.0373729578 |
125 | 57586 | 46115.4525549136 | 11470.5474450864 |
126 | 19764 | 27827.9280196147 | -8063.92801961468 |
127 | 105757 | 109423.352921812 | -3666.35292181224 |
128 | 97213 | 89800.9261841225 | 7412.07381587748 |
129 | 113402 | 130673.81787361 | -17271.8178736099 |
130 | 11796 | 10392.2866151713 | 1403.71338482867 |
131 | 7627 | 9287.51731199875 | -1660.51731199875 |
132 | 121085 | 113816.750372369 | 7268.24962763141 |
133 | 6836 | 8800.07787889263 | -1964.07787889262 |
134 | 139563 | 112755.112144655 | 26807.8878553454 |
135 | 5118 | 16221.3784047419 | -11103.3784047419 |
136 | 40248 | 26004.1291640539 | 14243.8708359461 |
137 | 0 | 9287.51731199875 | -9287.51731199875 |
138 | 95079 | 90151.7088524162 | 4927.29114758381 |
139 | 80750 | 87881.4354563577 | -7131.43545635774 |
140 | 7131 | 9287.51731199875 | -2156.51731199875 |
141 | 4194 | 9287.51731199875 | -5093.51731199875 |
142 | 60378 | 57966.5155266229 | 2411.48447337709 |
143 | 96971 | 114828.435149822 | -17857.4351498217 |
144 | 83484 | 67438.0753167131 | 16045.9246832869 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
8 | 0.0760692712620233 | 0.152138542524047 | 0.923930728737977 |
9 | 0.0929115457346464 | 0.185823091469293 | 0.907088454265354 |
10 | 0.698869988677839 | 0.602260022644323 | 0.301130011322161 |
11 | 0.742544500654175 | 0.514910998691649 | 0.257455499345825 |
12 | 0.666948572279538 | 0.666102855440924 | 0.333051427720462 |
13 | 0.569425588334088 | 0.861148823331825 | 0.430574411665912 |
14 | 0.515834728598124 | 0.968330542803752 | 0.484165271401876 |
15 | 0.477977600674006 | 0.955955201348012 | 0.522022399325994 |
16 | 0.66479044332446 | 0.670419113351081 | 0.33520955667554 |
17 | 0.990814512203229 | 0.0183709755935417 | 0.00918548779677083 |
18 | 0.986256677768218 | 0.027486644463564 | 0.013743322231782 |
19 | 0.98578040599976 | 0.0284391880004803 | 0.0142195940002401 |
20 | 0.992508153298655 | 0.0149836934026897 | 0.00749184670134486 |
21 | 0.988042949036687 | 0.023914101926626 | 0.011957050963313 |
22 | 0.987133193647385 | 0.0257336127052298 | 0.0128668063526149 |
23 | 0.990919503185665 | 0.0181609936286706 | 0.0090804968143353 |
24 | 0.986467651870993 | 0.0270646962580139 | 0.013532348129007 |
25 | 0.979863513533596 | 0.0402729729328082 | 0.0201364864664041 |
26 | 0.972795155679853 | 0.0544096886402935 | 0.0272048443201467 |
27 | 0.961566827954113 | 0.0768663440917733 | 0.0384331720458867 |
28 | 0.947709736325419 | 0.104580527349163 | 0.0522902636745815 |
29 | 0.997041472997943 | 0.00591705400411472 | 0.00295852700205736 |
30 | 0.997675959530075 | 0.00464808093984967 | 0.00232404046992483 |
31 | 0.99643291424873 | 0.00713417150254046 | 0.00356708575127023 |
32 | 0.996229993855423 | 0.00754001228915369 | 0.00377000614457684 |
33 | 0.995054304442956 | 0.00989139111408757 | 0.00494569555704379 |
34 | 0.99383890728895 | 0.0123221854221 | 0.00616109271105001 |
35 | 0.993932382517065 | 0.01213523496587 | 0.00606761748293501 |
36 | 0.991416782018813 | 0.0171664359623741 | 0.00858321798118706 |
37 | 0.993667705361729 | 0.012664589276543 | 0.0063322946382715 |
38 | 0.990978694725251 | 0.0180426105494988 | 0.00902130527474942 |
39 | 0.990683547180355 | 0.0186329056392905 | 0.00931645281964527 |
40 | 0.994205130041196 | 0.0115897399176087 | 0.00579486995880436 |
41 | 0.991883228293663 | 0.0162335434126741 | 0.00811677170633704 |
42 | 0.988918119767269 | 0.0221637604654628 | 0.0110818802327314 |
43 | 0.990428663628123 | 0.019142672743755 | 0.00957133637187751 |
44 | 0.987522752054798 | 0.0249544958904046 | 0.0124772479452023 |
45 | 0.991418688348834 | 0.0171626233023318 | 0.00858131165116591 |
46 | 0.988142815514053 | 0.0237143689718932 | 0.0118571844859466 |
47 | 0.983970169975944 | 0.0320596600481127 | 0.0160298300240563 |
48 | 0.981865052020618 | 0.0362698959587637 | 0.0181349479793818 |
49 | 0.976790262008884 | 0.0464194759822326 | 0.0232097379911163 |
50 | 0.969134820973716 | 0.0617303580525685 | 0.0308651790262842 |
51 | 0.960097276858184 | 0.0798054462836322 | 0.0399027231418161 |
52 | 0.95461042133204 | 0.0907791573359196 | 0.0453895786679598 |
53 | 0.987916981555033 | 0.0241660368899337 | 0.0120830184449668 |
54 | 0.99558798136913 | 0.00882403726173909 | 0.00441201863086955 |
55 | 0.99395537502135 | 0.0120892499572996 | 0.00604462497864979 |
56 | 0.993905723420431 | 0.012188553159138 | 0.00609427657956901 |
57 | 0.996046969917533 | 0.00790606016493482 | 0.00395303008246741 |
58 | 0.995827319016832 | 0.00834536196633635 | 0.00417268098316817 |
59 | 0.99511451057676 | 0.00977097884647992 | 0.00488548942323996 |
60 | 0.99416606728788 | 0.0116678654242391 | 0.00583393271211954 |
61 | 0.993206422489387 | 0.0135871550212252 | 0.00679357751061258 |
62 | 0.99098649807673 | 0.0180270038465391 | 0.00901350192326954 |
63 | 0.988126969333326 | 0.0237460613333475 | 0.0118730306666737 |
64 | 0.984128042407632 | 0.0317439151847363 | 0.0158719575923682 |
65 | 0.981634523172555 | 0.0367309536548904 | 0.0183654768274452 |
66 | 0.98095087287718 | 0.0380982542456401 | 0.0190491271228201 |
67 | 0.979236672396393 | 0.0415266552072147 | 0.0207633276036073 |
68 | 0.981410998721439 | 0.0371780025571219 | 0.018589001278561 |
69 | 0.979040062988719 | 0.0419198740225612 | 0.0209599370112806 |
70 | 0.974051517518617 | 0.0518969649627665 | 0.0259484824813833 |
71 | 0.997854920146448 | 0.00429015970710353 | 0.00214507985355177 |
72 | 0.998028631224158 | 0.00394273755168463 | 0.00197136877584232 |
73 | 0.999096212998213 | 0.00180757400357434 | 0.000903787001787172 |
74 | 0.998685163478837 | 0.00262967304232533 | 0.00131483652116266 |
75 | 0.999622782823415 | 0.000754434353169988 | 0.000377217176584994 |
76 | 0.999602969800468 | 0.000794060399064122 | 0.000397030199532061 |
77 | 0.999474540748233 | 0.00105091850353348 | 0.000525459251766741 |
78 | 0.999363731842834 | 0.00127253631433221 | 0.000636268157166103 |
79 | 0.999072720127789 | 0.00185455974442221 | 0.000927279872211105 |
80 | 0.998972318511346 | 0.00205536297730786 | 0.00102768148865393 |
81 | 0.999470965826295 | 0.00105806834741056 | 0.000529034173705281 |
82 | 0.999994821118737 | 1.03577625253816e-05 | 5.1788812626908e-06 |
83 | 0.999990927991601 | 1.81440167988666e-05 | 9.07200839943329e-06 |
84 | 0.999983887346567 | 3.2225306865332e-05 | 1.6112653432666e-05 |
85 | 0.999983392090043 | 3.32158199141874e-05 | 1.66079099570937e-05 |
86 | 0.999980543507688 | 3.8912984624678e-05 | 1.9456492312339e-05 |
87 | 0.99998736646462 | 2.52670707589812e-05 | 1.26335353794906e-05 |
88 | 0.999990083084072 | 1.98338318569895e-05 | 9.91691592849474e-06 |
89 | 0.999989035733178 | 2.19285336431546e-05 | 1.09642668215773e-05 |
90 | 0.999980375153737 | 3.92496925269956e-05 | 1.96248462634978e-05 |
91 | 0.999968072980642 | 6.38540387150382e-05 | 3.19270193575191e-05 |
92 | 0.99995048533743 | 9.90293251403334e-05 | 4.95146625701667e-05 |
93 | 0.999948562812633 | 0.000102874374734341 | 5.14371873671703e-05 |
94 | 0.999950138452386 | 9.9723095227765e-05 | 4.98615476138825e-05 |
95 | 0.999924861054662 | 0.000150277890675734 | 7.51389453378671e-05 |
96 | 0.999954440195033 | 9.11196099344803e-05 | 4.55598049672401e-05 |
97 | 0.999949867358392 | 0.000100265283215877 | 5.01326416079386e-05 |
98 | 0.999910946258158 | 0.000178107483683513 | 8.90537418417565e-05 |
99 | 0.99996569312343 | 6.86137531409896e-05 | 3.43068765704948e-05 |
100 | 0.999942040421826 | 0.000115919156347299 | 5.79595781736493e-05 |
101 | 0.999925469699959 | 0.000149060600081265 | 7.45303000406323e-05 |
102 | 0.999957973778503 | 8.40524429940275e-05 | 4.20262214970137e-05 |
103 | 0.999926743013443 | 0.000146513973114865 | 7.32569865574323e-05 |
104 | 0.999874320390875 | 0.000251359218249397 | 0.000125679609124698 |
105 | 0.999772892364693 | 0.000454215270613625 | 0.000227107635306813 |
106 | 0.999662632908283 | 0.000674734183433393 | 0.000337367091716696 |
107 | 0.99969726794217 | 0.000605464115660438 | 0.000302732057830219 |
108 | 0.999490261085377 | 0.0010194778292454 | 0.000509738914622701 |
109 | 0.999173163398162 | 0.00165367320367506 | 0.000826836601837532 |
110 | 0.999890245316649 | 0.000219509366702102 | 0.000109754683351051 |
111 | 0.999928028884489 | 0.000143942231022944 | 7.1971115511472e-05 |
112 | 0.999861221009371 | 0.000277557981258944 | 0.000138778990629472 |
113 | 0.999968317594809 | 6.33648103820848e-05 | 3.16824051910424e-05 |
114 | 0.999943453445983 | 0.00011309310803443 | 5.65465540172152e-05 |
115 | 0.999887607913341 | 0.000224784173317567 | 0.000112392086658784 |
116 | 0.999801028679782 | 0.000397942640435171 | 0.000198971320217586 |
117 | 0.999959128476543 | 8.17430469136845e-05 | 4.08715234568422e-05 |
118 | 0.999978046890181 | 4.39062196373424e-05 | 2.19531098186712e-05 |
119 | 0.999997507809042 | 4.98438191531074e-06 | 2.49219095765537e-06 |
120 | 0.999996368507033 | 7.2629859343311e-06 | 3.63149296716555e-06 |
121 | 0.999997368435042 | 5.26312991699301e-06 | 2.63156495849651e-06 |
122 | 0.999992961101137 | 1.40777977269786e-05 | 7.03889886348932e-06 |
123 | 0.999979583059392 | 4.08338812168896e-05 | 2.04169406084448e-05 |
124 | 0.999985041811598 | 2.99163768042342e-05 | 1.49581884021171e-05 |
125 | 0.999968620548932 | 6.2758902135719e-05 | 3.13794510678595e-05 |
126 | 0.999920442944995 | 0.000159114110010868 | 7.9557055005434e-05 |
127 | 0.999769624562019 | 0.000460750875961594 | 0.000230375437980797 |
128 | 0.999831370317404 | 0.000337259365192432 | 0.000168629682596216 |
129 | 0.999653031335887 | 0.000693937328226243 | 0.000346968664113121 |
130 | 0.998933294789112 | 0.00213341042177626 | 0.00106670521088813 |
131 | 0.996910115780478 | 0.00617976843904371 | 0.00308988421952185 |
132 | 0.99970123785908 | 0.000597524281840324 | 0.000298762140920162 |
133 | 0.99872141825203 | 0.00255716349593981 | 0.0012785817479699 |
134 | 0.997470040355991 | 0.00505991928801758 | 0.00252995964400879 |
135 | 0.994779879295047 | 0.0104402414099051 | 0.00522012070495257 |
136 | 0.987217354695842 | 0.0255652906083152 | 0.0127826453041576 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 73 | 0.565891472868217 | NOK |
5% type I error level | 113 | 0.875968992248062 | NOK |
10% type I error level | 119 | 0.922480620155039 | NOK |