Multiple Linear Regression - Estimated Regression Equation |
Long_feedback_messages[t] = + 1.65561991186834 -0.0030480464010528Page_views[t] + 0.0616782534165494Blogs[t] + 1.59550283590704Peer_reviews[t] -0.048626594619417Compendium_hours[t] + 0.986249242847325RFC_hours[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) | 1.65561991186834 | 2.649415 | 0.6249 | 0.533032 | 0.266516 |
Page_views | -0.0030480464010528 | 0.001864 | -1.6349 | 0.104271 | 0.052136 |
Blogs | 0.0616782534165494 | 0.087419 | 0.7055 | 0.481616 | 0.240808 |
Peer_reviews | 1.59550283590704 | 0.284997 | 5.5983 | 0 | 0 |
Compendium_hours | -0.048626594619417 | 0.448099 | -0.1085 | 0.913737 | 0.456869 |
RFC_hours | 0.986249242847325 | 0.216226 | 4.5612 | 1.1e-05 | 5e-06 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.802796792090578 |
R-squared | 0.644482689390922 |
Adjusted R-squared | 0.632052014194801 |
F-TEST (value) | 51.8461531029306 |
F-TEST (DF numerator) | 5 |
F-TEST (DF denominator) | 143 |
p-value | 0 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 10.7435938716866 |
Sum Squared Residuals | 16505.747727003 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 56 | 76.024758270502 | -20.024758270502 |
2 | 73 | 72.5416811819247 | 0.458318818075289 |
3 | 62 | 70.015075887865 | -8.01507588786496 |
4 | 42 | 65.0650616686994 | -23.0650616686994 |
5 | 59 | 61.1784537921608 | -2.17845379216079 |
6 | 27 | 35.8566510403864 | -8.85665104038645 |
7 | 78 | 57.0968315108132 | 20.9031684891868 |
8 | 56 | 57.5292271127386 | -1.52922711273856 |
9 | 59 | 50.8482659565517 | 8.15173404344827 |
10 | 51 | 62.9107524049918 | -11.9107524049918 |
11 | 47 | 57.7226190977272 | -10.7226190977272 |
12 | 35 | 48.0294868894827 | -13.0294868894827 |
13 | 47 | 56.0735302442794 | -9.07353024427944 |
14 | 47 | 46.3661687789076 | 0.633831221092367 |
15 | 55 | 48.0754575390523 | 6.92454246094767 |
16 | 54 | 51.6077190675088 | 2.39228093249124 |
17 | 60 | 53.3329499275263 | 6.66705007247371 |
18 | 55 | 52.8876532034969 | 2.11234679650309 |
19 | 48 | 46.9421237262072 | 1.05787627379285 |
20 | 47 | 44.7146022727358 | 2.28539772726416 |
21 | 47 | 50.1653329570241 | -3.16533295702409 |
22 | 52 | 46.4896189536885 | 5.51038104631151 |
23 | 48 | 39.291299283544 | 8.708700716456 |
24 | 48 | 46.7374602483398 | 1.26253975166018 |
25 | 27 | 45.0840984181244 | -18.0840984181244 |
26 | 12 | 45.6456521024324 | -33.6456521024324 |
27 | 51 | 45.4135243627217 | 5.58647563727827 |
28 | 58 | 51.0458513708561 | 6.95414862914393 |
29 | 60 | 48.6534835645482 | 11.3465164354518 |
30 | 46 | 46.8853816736877 | -0.885381673687736 |
31 | 45 | 43.359284556473 | 1.64071544352702 |
32 | 42 | 42.0105613418671 | -0.0105613418670928 |
33 | 41 | 48.1975577984624 | -7.19755779846243 |
34 | 47 | 41.0094040685524 | 5.99059593144756 |
35 | 32 | 41.7249476367911 | -9.72494763679106 |
36 | 56 | 42.2455860476538 | 13.7544139523462 |
37 | 42 | 34.8156542763941 | 7.18434572360593 |
38 | 41 | 48.4052922041624 | -7.40529220416241 |
39 | 47 | 43.8621450613799 | 3.13785493862012 |
40 | 47 | 46.9223235654023 | 0.0776764345976736 |
41 | 49 | 41.7090843212446 | 7.29091567875536 |
42 | 52 | 42.0231086407156 | 9.97689135928444 |
43 | 42 | 40.8112823727474 | 1.18871762725258 |
44 | 55 | 40.6513042315017 | 14.3486957684983 |
45 | 48 | 41.1598218180415 | 6.84017818195847 |
46 | 48 | 38.949520444626 | 9.05047955537404 |
47 | 38 | 40.3608714790892 | -2.36087147908918 |
48 | 48 | 41.4387768819022 | 6.56122311809776 |
49 | 50 | 34.2728766865079 | 15.7271233134921 |
50 | 39 | 40.1611002728763 | -1.16110027287635 |
51 | 48 | 41.2780509526985 | 6.72194904730147 |
52 | 36 | 40.0824539699491 | -4.08245396994912 |
53 | 49 | 39.0915503537229 | 9.90844964627707 |
54 | 39 | 39.8857679507909 | -0.885767950790856 |
55 | 41 | 40.3067989657963 | 0.69320103420366 |
56 | 45 | 45.706274927456 | -0.706274927456008 |
57 | 60 | 45.6564313700055 | 14.3435686299945 |
58 | 45 | 43.0768655183401 | 1.9231344816599 |
59 | 41 | 41.8757198944846 | -0.875719894484572 |
60 | 52 | 39.2369468557183 | 12.7630531442817 |
61 | 46 | 40.8051552429321 | 5.19484475706793 |
62 | 39 | 34.1357788297016 | 4.86422117029841 |
63 | 32 | 39.5976934921953 | -7.59769349219535 |
64 | 52 | 41.3416676429481 | 10.6583323570519 |
65 | 54 | 43.9497378072309 | 10.0502621927691 |
66 | 51 | 42.5942767145899 | 8.4057232854101 |
67 | 52 | 38.8192194309509 | 13.1807805690491 |
68 | 45 | 38.0330190732281 | 6.96698092677185 |
69 | 57 | 42.4331214219682 | 14.5668785780318 |
70 | 47 | 36.7439773950585 | 10.2560226049415 |
71 | 41 | 36.361073903722 | 4.63892609627802 |
72 | 27 | 32.4522258171723 | -5.4522258171723 |
73 | 43 | 36.4679595606781 | 6.53204043932187 |
74 | 31 | 31.2369809017562 | -0.236980901756208 |
75 | 32 | 35.0285962084943 | -3.02859620849429 |
76 | 41 | 33.2240124854436 | 7.77598751455639 |
77 | 40 | 36.2225084957603 | 3.77749150423967 |
78 | 46 | 38.9788951979066 | 7.02110480209342 |
79 | 32 | 39.9778681383023 | -7.97786813830228 |
80 | 9 | 28.3641289358481 | -19.3641289358481 |
81 | 64 | 35.9492141185072 | 28.0507858814928 |
82 | 30 | 36.1131945034251 | -6.11319450342514 |
83 | 46 | 36.5093114991733 | 9.49068850082668 |
84 | 37 | 34.0788592912185 | 2.92114070878145 |
85 | 22 | 40.3569138184752 | -18.3569138184752 |
86 | 20 | 33.9297479936271 | -13.9297479936271 |
87 | 21 | 33.3017448842344 | -12.3017448842344 |
88 | 44 | 33.758303472751 | 10.241696527249 |
89 | 24 | 34.3611748749264 | -10.3611748749264 |
90 | 33 | 36.3375155314356 | -3.33751553143555 |
91 | 45 | 34.3717597076971 | 10.6282402923029 |
92 | 35 | 26.2099215068994 | 8.79007849310064 |
93 | 31 | 38.9022257313214 | -7.90222573132139 |
94 | 20 | 33.104790925054 | -13.104790925054 |
95 | 13 | 33.1681947112647 | -20.1681947112647 |
96 | 33 | 30.0445434672774 | 2.95545653272257 |
97 | 58 | 36.6765199038921 | 21.3234800961079 |
98 | 26 | 32.630309936665 | -6.63030993666496 |
99 | 36 | 30.5617804907075 | 5.4382195092925 |
100 | 32 | 33.5800792106732 | -1.58007921067318 |
101 | 34 | 30.5326591373255 | 3.46734086267452 |
102 | 15 | 33.170887070515 | -18.170887070515 |
103 | 40 | 24.0942380343985 | 15.9057619656015 |
104 | 37 | 37.1451369191111 | -0.14513691911114 |
105 | 26 | 30.2840803069629 | -4.28408030696293 |
106 | 31 | 34.3437383657662 | -3.34373836576623 |
107 | 47 | 31.1963080001898 | 15.8036919998102 |
108 | 21 | 29.9593739928413 | -8.95937399284127 |
109 | 21 | 25.5296914905945 | -4.5296914905945 |
110 | 9 | 25.2218772035971 | -16.2218772035971 |
111 | 28 | 17.9595532815436 | 10.0404467184564 |
112 | 24 | 28.3872425982309 | -4.38724259823087 |
113 | 15 | 15.3290324603724 | -0.329032460372398 |
114 | 19 | 22.2003080267574 | -3.20030802675741 |
115 | 35 | 30.0648591582262 | 4.93514084177378 |
116 | 45 | 28.4781861553142 | 16.5218138446858 |
117 | 20 | 28.8410092278152 | -8.84100922781525 |
118 | 1 | 31.9116590768861 | -30.9116590768861 |
119 | 29 | 31.9246417819291 | -2.92464178192906 |
120 | 33 | 27.82575076877 | 5.17424923122997 |
121 | 32 | 27.8320256063912 | 4.16797439360878 |
122 | 11 | 24.4633005760799 | -13.4633005760799 |
123 | 10 | 28.3637489394094 | -18.3637489394094 |
124 | 18 | 17.6689580179273 | 0.331041982072697 |
125 | 41 | 26.431315247044 | 14.568684752956 |
126 | 0 | 21.3397754484555 | -21.3397754484555 |
127 | 10 | 16.5567846139577 | -6.55678461395768 |
128 | 24 | 24.881883436476 | -0.881883436475981 |
129 | 28 | 23.3938161470229 | 4.60618385297707 |
130 | 38 | 29.6259735795639 | 8.37402642043608 |
131 | 4 | 10.4163570176496 | -6.41635701764963 |
132 | 25 | 6.14206245310281 | 18.8579375468972 |
133 | 40 | 18.6749398377231 | 21.3250601622769 |
134 | 0 | 24.6599878238188 | -24.6599878238188 |
135 | 23 | 20.2628753330153 | 2.73712466698466 |
136 | 13 | 19.3109085229967 | -6.31090852299674 |
137 | 6 | 11.245000997831 | -5.24500099783102 |
138 | 31 | 26.953421894011 | 4.04657810598901 |
139 | 0 | 4.15425478164877 | -4.15425478164877 |
140 | 3 | 5.60893570848766 | -2.60893570848766 |
141 | 0 | 2.92401967891979 | -2.92401967891979 |
142 | 7 | 12.5153249727683 | -5.51532497276834 |
143 | 0 | 2.59178262120504 | -2.59178262120504 |
144 | 2 | 3.49400435591666 | -1.49400435591666 |
145 | 0 | 12.8170815664726 | -12.8170815664726 |
146 | 0 | 5.52645679081439 | -5.52645679081439 |
147 | 5 | 2.56566799468934 | 2.43433200531066 |
148 | 0 | 2.32487232900617 | -2.32487232900617 |
149 | 0 | 1.62209140145676 | -1.62209140145676 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
9 | 0.161132306359758 | 0.322264612719516 | 0.838867693640242 |
10 | 0.0829393190087013 | 0.165878638017403 | 0.917060680991299 |
11 | 0.0386525923373007 | 0.0773051846746015 | 0.961347407662699 |
12 | 0.325490395609454 | 0.650980791218907 | 0.674509604390546 |
13 | 0.654723038426239 | 0.690553923147521 | 0.345276961573761 |
14 | 0.623874202462497 | 0.752251595075005 | 0.376125797537503 |
15 | 0.540737901877291 | 0.918524196245418 | 0.459262098122709 |
16 | 0.515135381164905 | 0.969729237670189 | 0.484864618835095 |
17 | 0.504769780841702 | 0.990460438316596 | 0.495230219158298 |
18 | 0.438837238350318 | 0.877674476700636 | 0.561162761649682 |
19 | 0.355028857289021 | 0.710057714578043 | 0.644971142710979 |
20 | 0.279999350339549 | 0.559998700679097 | 0.720000649660452 |
21 | 0.225867975289579 | 0.451735950579157 | 0.774132024710421 |
22 | 0.171125895791396 | 0.342251791582792 | 0.828874104208604 |
23 | 0.126089636013389 | 0.252179272026779 | 0.873910363986611 |
24 | 0.138762657897086 | 0.277525315794172 | 0.861237342102914 |
25 | 0.224812929340414 | 0.449625858680829 | 0.775187070659585 |
26 | 0.928310997142776 | 0.143378005714449 | 0.0716890028572243 |
27 | 0.918331926145975 | 0.16333614770805 | 0.0816680738540251 |
28 | 0.906870134794547 | 0.186259730410906 | 0.0931298652054532 |
29 | 0.90431110193794 | 0.19137779612412 | 0.0956888980620599 |
30 | 0.877298138625654 | 0.245403722748692 | 0.122701861374346 |
31 | 0.844214776214202 | 0.311570447571597 | 0.155785223785798 |
32 | 0.808016836939628 | 0.383966326120743 | 0.191983163060372 |
33 | 0.792779750193071 | 0.414440499613857 | 0.207220249806929 |
34 | 0.758589348310745 | 0.48282130337851 | 0.241410651689255 |
35 | 0.775292539286673 | 0.449414921426655 | 0.224707460713327 |
36 | 0.781867582726715 | 0.436264834546571 | 0.218132417273285 |
37 | 0.746042238264934 | 0.507915523470133 | 0.253957761735066 |
38 | 0.729719498919358 | 0.540561002161285 | 0.270280501080642 |
39 | 0.683150893120681 | 0.633698213758637 | 0.316849106879319 |
40 | 0.635415798853146 | 0.729168402293707 | 0.364584201146854 |
41 | 0.592133466423909 | 0.815733067152182 | 0.407866533576091 |
42 | 0.564239504426396 | 0.871520991147208 | 0.435760495573604 |
43 | 0.516052628676362 | 0.967894742647275 | 0.483947371323638 |
44 | 0.513299362857698 | 0.973401274284603 | 0.486700637142302 |
45 | 0.464666343559393 | 0.929332687118787 | 0.535333656440606 |
46 | 0.422329738608332 | 0.844659477216664 | 0.577670261391668 |
47 | 0.393213387408438 | 0.786426774816876 | 0.606786612591562 |
48 | 0.347112944847697 | 0.694225889695394 | 0.652887055152303 |
49 | 0.341106273738138 | 0.682212547476276 | 0.658893726261862 |
50 | 0.308307590458295 | 0.616615180916591 | 0.691692409541705 |
51 | 0.266054966182122 | 0.532109932364244 | 0.733945033817878 |
52 | 0.255091170944158 | 0.510182341888317 | 0.744908829055842 |
53 | 0.225909981327757 | 0.451819962655515 | 0.774090018672243 |
54 | 0.197635405066765 | 0.395270810133529 | 0.802364594933235 |
55 | 0.169058116342166 | 0.338116232684332 | 0.830941883657834 |
56 | 0.143068243683594 | 0.286136487367187 | 0.856931756316406 |
57 | 0.148712292512017 | 0.297424585024035 | 0.851287707487983 |
58 | 0.122703145517857 | 0.245406291035714 | 0.877296854482143 |
59 | 0.104315650866393 | 0.208631301732786 | 0.895684349133607 |
60 | 0.0939436027361105 | 0.187887205472221 | 0.90605639726389 |
61 | 0.0747307432187691 | 0.149461486437538 | 0.925269256781231 |
62 | 0.0588554275658502 | 0.1177108551317 | 0.94114457243415 |
63 | 0.0673585353613504 | 0.134717070722701 | 0.93264146463865 |
64 | 0.0581231675954394 | 0.116246335190879 | 0.941876832404561 |
65 | 0.0505785428056393 | 0.101157085611279 | 0.949421457194361 |
66 | 0.0414916413287993 | 0.0829832826575985 | 0.958508358671201 |
67 | 0.0372993783714371 | 0.0745987567428741 | 0.962700621628563 |
68 | 0.0296540929593941 | 0.0593081859187881 | 0.970345907040606 |
69 | 0.0301264877234956 | 0.0602529754469913 | 0.969873512276504 |
70 | 0.025568544619944 | 0.051137089239888 | 0.974431455380056 |
71 | 0.0202408270622557 | 0.0404816541245113 | 0.979759172937744 |
72 | 0.0213049279594306 | 0.0426098559188612 | 0.978695072040569 |
73 | 0.0166443920066485 | 0.0332887840132969 | 0.983355607993352 |
74 | 0.0139086363200448 | 0.0278172726400895 | 0.986091363679955 |
75 | 0.0124893468322007 | 0.0249786936644014 | 0.987510653167799 |
76 | 0.00940999666720309 | 0.0188199933344062 | 0.990590003332797 |
77 | 0.00701264099617487 | 0.0140252819923497 | 0.992987359003825 |
78 | 0.00582532120474636 | 0.0116506424094927 | 0.994174678795254 |
79 | 0.00685013843894669 | 0.0137002768778934 | 0.993149861561053 |
80 | 0.0266202120842935 | 0.053240424168587 | 0.973379787915707 |
81 | 0.128987246231484 | 0.257974492462968 | 0.871012753768516 |
82 | 0.123664790216895 | 0.247329580433791 | 0.876335209783105 |
83 | 0.118077189921113 | 0.236154379842226 | 0.881922810078887 |
84 | 0.0987153182373591 | 0.197430636474718 | 0.901284681762641 |
85 | 0.208702372507919 | 0.417404745015837 | 0.791297627492081 |
86 | 0.257898272999946 | 0.515796545999891 | 0.742101727000055 |
87 | 0.287345461535648 | 0.574690923071296 | 0.712654538464352 |
88 | 0.300663828810332 | 0.601327657620664 | 0.699336171189668 |
89 | 0.302269178286236 | 0.604538356572471 | 0.697730821713764 |
90 | 0.270519285284442 | 0.541038570568883 | 0.729480714715558 |
91 | 0.263184323748714 | 0.526368647497428 | 0.736815676251286 |
92 | 0.232792226836956 | 0.465584453673912 | 0.767207773163044 |
93 | 0.223095610213243 | 0.446191220426486 | 0.776904389786757 |
94 | 0.269889415041578 | 0.539778830083156 | 0.730110584958422 |
95 | 0.400491337410248 | 0.800982674820497 | 0.599508662589752 |
96 | 0.362952626452888 | 0.725905252905777 | 0.637047373547112 |
97 | 0.460206705505908 | 0.920413411011816 | 0.539793294494092 |
98 | 0.468211714996186 | 0.936423429992373 | 0.531788285003814 |
99 | 0.460335870117734 | 0.920671740235469 | 0.539664129882266 |
100 | 0.414905073623243 | 0.829810147246486 | 0.585094926376757 |
101 | 0.378866926412134 | 0.757733852824269 | 0.621133073587866 |
102 | 0.415140422372833 | 0.830280844745667 | 0.584859577627167 |
103 | 0.423333842044203 | 0.846667684088406 | 0.576666157955797 |
104 | 0.372757303773524 | 0.745514607547048 | 0.627242696226476 |
105 | 0.342129677862188 | 0.684259355724376 | 0.657870322137812 |
106 | 0.302925677790998 | 0.605851355581995 | 0.697074322209002 |
107 | 0.414537372784842 | 0.829074745569685 | 0.585462627215158 |
108 | 0.393759763763034 | 0.787519527526068 | 0.606240236236966 |
109 | 0.353995463702163 | 0.707990927404326 | 0.646004536297837 |
110 | 0.437465206493764 | 0.874930412987529 | 0.562534793506236 |
111 | 0.388370121454431 | 0.776740242908862 | 0.611629878545569 |
112 | 0.372378900106927 | 0.744757800213854 | 0.627621099893073 |
113 | 0.343865619190816 | 0.687731238381632 | 0.656134380809184 |
114 | 0.378710553964516 | 0.757421107929032 | 0.621289446035484 |
115 | 0.332464447311901 | 0.664928894623802 | 0.667535552688099 |
116 | 0.38310539742929 | 0.76621079485858 | 0.61689460257071 |
117 | 0.362264188478195 | 0.724528376956389 | 0.637735811521805 |
118 | 0.537803813951066 | 0.924392372097867 | 0.462196186048934 |
119 | 0.476196185147263 | 0.952392370294526 | 0.523803814852737 |
120 | 0.432655044032131 | 0.865310088064261 | 0.567344955967869 |
121 | 0.373687157601009 | 0.747374315202018 | 0.626312842398991 |
122 | 0.361811477557512 | 0.723622955115025 | 0.638188522442488 |
123 | 0.443214809011402 | 0.886429618022805 | 0.556785190988598 |
124 | 0.38348250984658 | 0.76696501969316 | 0.61651749015342 |
125 | 0.419609997254042 | 0.839219994508083 | 0.580390002745958 |
126 | 0.750357147483961 | 0.499285705032078 | 0.249642852516039 |
127 | 0.779044072286107 | 0.441911855427786 | 0.220955927713893 |
128 | 0.717701229465342 | 0.564597541069316 | 0.282298770534658 |
129 | 0.658198794093447 | 0.683602411813106 | 0.341801205906553 |
130 | 0.636209268944425 | 0.72758146211115 | 0.363790731055575 |
131 | 0.647634331432663 | 0.704731337134675 | 0.352365668567337 |
132 | 0.577744116497362 | 0.844511767005275 | 0.422255883502638 |
133 | 0.942985645331052 | 0.114028709337897 | 0.0570143546689484 |
134 | 0.995133220260083 | 0.00973355947983338 | 0.00486677973991669 |
135 | 0.997225156826508 | 0.0055496863469834 | 0.0027748431734917 |
136 | 0.992398316686002 | 0.0152033666279959 | 0.00760168331399793 |
137 | 0.982052616202196 | 0.0358947675956088 | 0.0179473837978044 |
138 | 0.995262711055833 | 0.0094745778883339 | 0.00473728894416695 |
139 | 0.985413741727332 | 0.0291725165453366 | 0.0145862582726683 |
140 | 0.947675834492307 | 0.104648331015385 | 0.0523241655076927 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 3 | 0.0227272727272727 | NOK |
5% type I error level | 15 | 0.113636363636364 | NOK |
10% type I error level | 22 | 0.166666666666667 | NOK |