Multiple Linear Regression - Estimated Regression Equation |
TimeRFC[t] = + 9868.05933521797 + 712.196024184492Blogs[t] + 467.659587533507ReviewedComp[t] + 233.755916553036Longfeedback[t] + 1.2217078801661Comptime[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) | 9868.05933521797 | 5889.985745 | 1.6754 | 0.096105 | 0.048052 |
Blogs | 712.196024184492 | 199.718242 | 3.566 | 0.000498 | 0.000249 |
ReviewedComp | 467.659587533507 | 619.449486 | 0.755 | 0.45155 | 0.225775 |
Longfeedback | 233.755916553036 | 194.424963 | 1.2023 | 0.231294 | 0.115647 |
Comptime | 1.2217078801661 | 0.157825 | 7.7409 | 0 | 0 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.884746644344557 |
R-squared | 0.782776624678954 |
Adjusted R-squared | 0.776525592295615 |
F-TEST (value) | 125.223575351369 |
F-TEST (DF numerator) | 4 |
F-TEST (DF denominator) | 139 |
p-value | 0 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 27931.1581918092 |
Sum Squared Residuals | 108440794113.086 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 127476 | 73491.267548724 | 53984.732451276 |
2 | 130358 | 146450.56581377 | -16092.5658137701 |
3 | 7215 | 12224.7338360584 | -5009.73383605839 |
4 | 112861 | 111316.392992949 | 1544.6070070515 |
5 | 210171 | 178988.709553817 | 31182.2904461834 |
6 | 393802 | 330970.805193867 | 62831.1948061329 |
7 | 117604 | 122966.469829361 | -5362.46982936071 |
8 | 126029 | 150327.063294662 | -24298.0632946617 |
9 | 99729 | 110229.488129025 | -10500.4881290252 |
10 | 256310 | 198596.330085549 | 57713.6699144507 |
11 | 113066 | 109581.197771418 | 3484.80222858211 |
12 | 156212 | 173607.987483899 | -17395.9874838988 |
13 | 69952 | 73679.3754257972 | -3727.37542579722 |
14 | 152673 | 141814.430451366 | 10858.5695486338 |
15 | 125841 | 110040.615269892 | 15800.3847301079 |
16 | 125769 | 127674.350152885 | -1905.35015288495 |
17 | 123467 | 175312.868901953 | -51845.8689019528 |
18 | 56232 | 26755.2055289982 | 29476.7944710018 |
19 | 108244 | 128918.081817217 | -20674.0818172165 |
20 | 22762 | 45236.6192022627 | -22474.6192022627 |
21 | 48554 | 58887.9144091881 | -10333.9144091881 |
22 | 178697 | 197724.974453527 | -19027.9744535268 |
23 | 139115 | 76608.5487684263 | 62506.4512315737 |
24 | 93773 | 99457.5484237439 | -5684.54842374385 |
25 | 133398 | 133980.915302856 | -582.915302856433 |
26 | 113933 | 99099.5004326128 | 14833.4995673872 |
27 | 144781 | 137177.401206666 | 7603.59879333352 |
28 | 140711 | 190381.623680139 | -49670.6236801393 |
29 | 283337 | 201893.535612632 | 81443.4643873683 |
30 | 158146 | 144039.057075431 | 14106.9429245686 |
31 | 123344 | 106080.077791223 | 17263.9222087774 |
32 | 157640 | 147109.583043739 | 10530.4169562609 |
33 | 91279 | 87813.1317400099 | 3465.86825999006 |
34 | 189374 | 114619.802358972 | 74754.1976410283 |
35 | 167915 | 164713.848988205 | 3201.151011795 |
36 | 0 | 9868.05933521797 | -9868.05933521797 |
37 | 175403 | 116775.171277967 | 58627.8287220326 |
38 | 92342 | 95928.8437150437 | -3586.84371504367 |
39 | 100023 | 108711.897824906 | -8688.89782490609 |
40 | 178277 | 244547.542292911 | -66270.5422929105 |
41 | 145062 | 136121.222479903 | 8940.77752009682 |
42 | 110980 | 110194.215659382 | 785.784340617823 |
43 | 86039 | 106405.790957888 | -20366.7909578876 |
44 | 119514 | 125553.889097774 | -6039.88909777446 |
45 | 95535 | 112031.874428486 | -16496.8744284864 |
46 | 109894 | 113564.787278457 | -3670.78727845698 |
47 | 61554 | 77218.0243830788 | -15664.0243830788 |
48 | 156520 | 120199.458399 | 36320.5416010001 |
49 | 159121 | 154970.312546131 | 4150.68745386874 |
50 | 129362 | 118492.112814345 | 10869.8871856551 |
51 | 48188 | 55915.3404177577 | -7727.3404177577 |
52 | 91198 | 102537.182018903 | -11339.1820189028 |
53 | 229864 | 181020.0910359 | 48843.9089640999 |
54 | 180317 | 130595.668845851 | 49721.3311541494 |
55 | 150640 | 153001.200838742 | -2361.20083874184 |
56 | 104416 | 102290.066738588 | 2125.93326141228 |
57 | 159645 | 121560.54292428 | 38084.4570757198 |
58 | 63205 | 86700.6035995479 | -23495.6035995479 |
59 | 100056 | 133392.991160783 | -33336.9911607828 |
60 | 137214 | 89407.4025374031 | 47806.5974625969 |
61 | 99630 | 118782.375952761 | -19152.3759527607 |
62 | 84557 | 99279.7309061496 | -14722.7309061496 |
63 | 91199 | 99822.4775286765 | -8623.47752867654 |
64 | 83419 | 110653.43771048 | -27234.4377104804 |
65 | 101723 | 98638.0995759853 | 3084.9004240147 |
66 | 94982 | 129792.064460393 | -34810.0644603933 |
67 | 129700 | 205827.807901631 | -76127.807901631 |
68 | 110708 | 145725.750515072 | -35017.7505150724 |
69 | 81518 | 118778.669069102 | -37260.6690691017 |
70 | 31970 | 38082.7501376534 | -6112.75013765342 |
71 | 192268 | 134509.169872663 | 57758.8301273372 |
72 | 87611 | 88059.2197481346 | -448.219748134624 |
73 | 77890 | 110314.541578956 | -32424.5415789561 |
74 | 83261 | 69988.591529254 | 13272.408470746 |
75 | 116290 | 132112.009550898 | -15822.0095508984 |
76 | 55254 | 46005.1273365759 | 9248.87266342412 |
77 | 116173 | 137376.841974651 | -21203.8419746508 |
78 | 111488 | 161580.181837214 | -50092.1818372142 |
79 | 60138 | 68626.4296180954 | -8488.42961809539 |
80 | 73422 | 91721.7666113628 | -18299.7666113628 |
81 | 67751 | 102202.936441191 | -34451.9364411906 |
82 | 213351 | 125967.54189118 | 87383.4581088198 |
83 | 51185 | 73737.7508687803 | -22552.7508687803 |
84 | 97181 | 106445.828113217 | -9264.82811321667 |
85 | 42311 | 54826.5338913231 | -12515.5338913231 |
86 | 115801 | 111221.6970296 | 4579.30297039969 |
87 | 183637 | 157316.342163631 | 26320.657836369 |
88 | 68161 | 89007.1885233933 | -20846.1885233933 |
89 | 76441 | 80698.6157391789 | -4257.61573917891 |
90 | 103613 | 106426.995528024 | -2813.99552802395 |
91 | 98707 | 122979.29277876 | -24272.2927787596 |
92 | 126527 | 143641.456755465 | -17114.4567554649 |
93 | 136781 | 124311.210189963 | 12469.7898100369 |
94 | 105863 | 79949.8025326631 | 25913.1974673369 |
95 | 38775 | 59777.6145037934 | -21002.6145037934 |
96 | 179984 | 169980.290385357 | 10003.7096146432 |
97 | 164808 | 170108.836999557 | -5300.83699955656 |
98 | 19349 | 31327.5497182651 | -11978.5497182651 |
99 | 143902 | 97111.267109295 | 46790.732890705 |
100 | 108660 | 109514.620821117 | -854.620821117099 |
101 | 43803 | 22572.7429449313 | 21230.2570550687 |
102 | 47062 | 84282.0036975667 | -37220.0036975667 |
103 | 110845 | 93694.9865926997 | 17150.0134073003 |
104 | 92517 | 91515.376893016 | 1001.62310698401 |
105 | 58660 | 67584.5024773504 | -8924.50247735044 |
106 | 27676 | 25610.0952208737 | 2065.90477912633 |
107 | 98550 | 134604.809073885 | -36054.8090738853 |
108 | 43284 | 26289.7532249434 | 16994.2467750566 |
109 | 0 | 9868.05933521797 | -9868.05933521797 |
110 | 66016 | 97953.6953665182 | -31937.6953665182 |
111 | 57359 | 69016.6880614654 | -11657.6880614654 |
112 | 96933 | 111630.638265726 | -14697.6382657264 |
113 | 70369 | 111487.157868775 | -41118.157868775 |
114 | 65494 | 74706.2630219243 | -9212.26302192434 |
115 | 3616 | 9868.05933521797 | -6252.05933521797 |
116 | 0 | 9868.05933521797 | -9868.05933521797 |
117 | 143931 | 125349.283432093 | 18581.7165679074 |
118 | 109894 | 145832.577428756 | -35938.5774287562 |
119 | 122973 | 90435.0709306803 | 32537.9290693197 |
120 | 84336 | 93854.9584903557 | -9518.95849035569 |
121 | 43410 | 16038.2410441442 | 27371.7589558558 |
122 | 136250 | 149606.338299141 | -13356.3382991414 |
123 | 79015 | 84711.1379158087 | -5696.13791580874 |
124 | 92937 | 89842.6445953124 | 3094.35540468755 |
125 | 57586 | 31307.9146506351 | 26278.0853493649 |
126 | 19764 | 30988.2565447509 | -11224.2565447509 |
127 | 105757 | 118044.256884235 | -12287.256884235 |
128 | 96410 | 85371.6850669412 | 11038.3149330588 |
129 | 113402 | 109658.863497363 | 3743.13650263732 |
130 | 11796 | 11749.3304510225 | 46.6695489774851 |
131 | 7627 | 9868.05933521797 | -2241.05933521797 |
132 | 121085 | 88294.1129180192 | 32790.8870819808 |
133 | 6836 | 10335.7189227515 | -3499.71892275147 |
134 | 139563 | 108338.062003712 | 31224.9379962879 |
135 | 5118 | 13429.0394561404 | -8311.03945614044 |
136 | 40248 | 26417.4650702578 | 13830.5349297422 |
137 | 0 | 9868.05933521797 | -9868.05933521797 |
138 | 95079 | 81175.3827519959 | 13903.6172480041 |
139 | 80750 | 70189.8812628634 | 10560.1187371366 |
140 | 7131 | 9868.05933521797 | -2737.05933521797 |
141 | 4194 | 9868.05933521797 | -5674.05933521797 |
142 | 60378 | 51544.4654716645 | 8833.53452833549 |
143 | 96971 | 117902.975898227 | -20931.9758982266 |
144 | 83484 | 90789.4793783789 | -7305.47937837893 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
8 | 0.920241037590288 | 0.159517924819423 | 0.0797589624097117 |
9 | 0.860114714732804 | 0.279770570534392 | 0.139885285267196 |
10 | 0.891679036355601 | 0.216641927288799 | 0.108320963644399 |
11 | 0.827758473850764 | 0.344483052298473 | 0.172241526149236 |
12 | 0.821237343076689 | 0.357525313846622 | 0.178762656923311 |
13 | 0.745483952425136 | 0.509032095149728 | 0.254516047574864 |
14 | 0.668898185634559 | 0.662203628730883 | 0.331101814365441 |
15 | 0.593591713780219 | 0.812816572439562 | 0.406408286219781 |
16 | 0.51867127246941 | 0.962657455061179 | 0.481328727530589 |
17 | 0.776171077189936 | 0.447657845620129 | 0.223828922810064 |
18 | 0.749037092961538 | 0.501925814076923 | 0.250962907038462 |
19 | 0.710031631703355 | 0.579936736593289 | 0.289968368296645 |
20 | 0.691342545800765 | 0.617314908398471 | 0.308657454199235 |
21 | 0.634617763527016 | 0.730764472945968 | 0.365382236472984 |
22 | 0.59677277886488 | 0.806454442270239 | 0.403227221135119 |
23 | 0.817065558445945 | 0.36586888310811 | 0.182934441554055 |
24 | 0.772903179382669 | 0.454193641234663 | 0.227096820617331 |
25 | 0.718010377136082 | 0.563979245727835 | 0.281989622863918 |
26 | 0.667911300908959 | 0.664177398182082 | 0.332088699091041 |
27 | 0.609365647849584 | 0.781268704300831 | 0.390634352150416 |
28 | 0.794073386742447 | 0.411853226515105 | 0.205926613257553 |
29 | 0.901861396545491 | 0.196277206909018 | 0.0981386034545091 |
30 | 0.880134446330517 | 0.239731107338966 | 0.119865553669483 |
31 | 0.855456879890642 | 0.289086240218717 | 0.144543120109358 |
32 | 0.826160564212567 | 0.347678871574866 | 0.173839435787433 |
33 | 0.811751720338101 | 0.376496559323798 | 0.188248279661899 |
34 | 0.981292613824319 | 0.0374147723513626 | 0.0187073861756813 |
35 | 0.975855956159884 | 0.0482880876802325 | 0.0241440438401163 |
36 | 0.968959848506168 | 0.0620803029876646 | 0.0310401514938323 |
37 | 0.98708342299868 | 0.0258331540026395 | 0.0129165770013197 |
38 | 0.98207054882919 | 0.0358589023416198 | 0.0179294511708099 |
39 | 0.977264397741394 | 0.0454712045172117 | 0.0227356022586059 |
40 | 0.996007700011148 | 0.00798459997770336 | 0.00399229998885168 |
41 | 0.994452665333466 | 0.0110946693330684 | 0.00554733466653422 |
42 | 0.991960406637135 | 0.0160791867257296 | 0.00803959336286478 |
43 | 0.990306691027271 | 0.0193866179454578 | 0.00969330897272888 |
44 | 0.98675069216436 | 0.0264986156712791 | 0.0132493078356396 |
45 | 0.983870145213025 | 0.0322597095739497 | 0.0161298547869749 |
46 | 0.978077306973034 | 0.0438453860539318 | 0.0219226930269659 |
47 | 0.97282052951823 | 0.0543589409635398 | 0.0271794704817699 |
48 | 0.977186656632254 | 0.0456266867354925 | 0.0228133433677462 |
49 | 0.969868012804517 | 0.060263974390967 | 0.0301319871954835 |
50 | 0.961778867457056 | 0.0764422650858883 | 0.0382211325429441 |
51 | 0.951567372925569 | 0.0968652541488628 | 0.0484326270744314 |
52 | 0.941202208327651 | 0.117595583344698 | 0.0587977916723489 |
53 | 0.970339650058703 | 0.0593206998825946 | 0.0296603499412973 |
54 | 0.985538171540481 | 0.028923656919039 | 0.0144618284595195 |
55 | 0.980850529402446 | 0.0382989411951081 | 0.019149470597554 |
56 | 0.97537340572254 | 0.0492531885549192 | 0.0246265942774596 |
57 | 0.981769661535719 | 0.0364606769285621 | 0.018230338464281 |
58 | 0.980435046812718 | 0.0391299063745631 | 0.0195649531872815 |
59 | 0.981623578425551 | 0.0367528431488988 | 0.0183764215744494 |
60 | 0.988942503450006 | 0.0221149930999879 | 0.011057496549994 |
61 | 0.986589901492061 | 0.0268201970158775 | 0.0134100985079388 |
62 | 0.983048313501453 | 0.0339033729970937 | 0.0169516864985469 |
63 | 0.977693796174696 | 0.0446124076506075 | 0.0223062038253038 |
64 | 0.976954486275971 | 0.0460910274480569 | 0.0230455137240285 |
65 | 0.969963034611224 | 0.0600739307775526 | 0.0300369653887763 |
66 | 0.973470464131161 | 0.0530590717376771 | 0.0265295358688386 |
67 | 0.996264076384656 | 0.00747184723068813 | 0.00373592361534407 |
68 | 0.997108490135657 | 0.00578301972868572 | 0.00289150986434286 |
69 | 0.99807603479395 | 0.00384793041210078 | 0.00192396520605039 |
70 | 0.997299128624698 | 0.00540174275060347 | 0.00270087137530174 |
71 | 0.999686414607786 | 0.000627170784428298 | 0.000313585392214149 |
72 | 0.999588384910909 | 0.000823230178182459 | 0.00041161508909123 |
73 | 0.999634941742334 | 0.000730116515331546 | 0.000365058257665773 |
74 | 0.999573486959199 | 0.000853026081601037 | 0.000426513040800518 |
75 | 0.999443536418288 | 0.00111292716342449 | 0.000556463581712247 |
76 | 0.999300193151792 | 0.00139961369641567 | 0.000699806848207835 |
77 | 0.999129495413417 | 0.00174100917316575 | 0.000870504586582877 |
78 | 0.999745103675258 | 0.000509792649484075 | 0.000254896324742037 |
79 | 0.999638071053223 | 0.000723857893553429 | 0.000361928946776714 |
80 | 0.999535395352593 | 0.000929209294813442 | 0.000464604647406721 |
81 | 0.99959212591411 | 0.000815748171780299 | 0.000407874085890149 |
82 | 0.999998299798132 | 3.40040373551327e-06 | 1.70020186775663e-06 |
83 | 0.999997917434357 | 4.16513128511487e-06 | 2.08256564255743e-06 |
84 | 0.999996411456504 | 7.17708699220307e-06 | 3.58854349610153e-06 |
85 | 0.999995254007362 | 9.49198527529461e-06 | 4.74599263764731e-06 |
86 | 0.999991454258513 | 1.70914829740514e-05 | 8.54574148702572e-06 |
87 | 0.99999512429708 | 9.75140584002618e-06 | 4.87570292001309e-06 |
88 | 0.999994274651648 | 1.14506967041497e-05 | 5.72534835207486e-06 |
89 | 0.999989987902211 | 2.00241955777278e-05 | 1.00120977888639e-05 |
90 | 0.999982284621403 | 3.54307571930808e-05 | 1.77153785965404e-05 |
91 | 0.999982232727447 | 3.55345451051903e-05 | 1.77672725525952e-05 |
92 | 0.999970637417702 | 5.87251645957015e-05 | 2.93625822978507e-05 |
93 | 0.999955974832325 | 8.80503353505628e-05 | 4.40251676752814e-05 |
94 | 0.999967989172299 | 6.40216554012838e-05 | 3.20108277006419e-05 |
95 | 0.999960625418508 | 7.87491629841478e-05 | 3.93745814920739e-05 |
96 | 0.999932436241172 | 0.000135127517655576 | 6.75637588277881e-05 |
97 | 0.999953930333692 | 9.21393326151784e-05 | 4.60696663075892e-05 |
98 | 0.999919733329549 | 0.000160533340902908 | 8.02666704514538e-05 |
99 | 0.999974684408802 | 5.06311823950488e-05 | 2.53155911975244e-05 |
100 | 0.999952802185259 | 9.43956294826702e-05 | 4.71978147413351e-05 |
101 | 0.999949958506497 | 0.000100082987005999 | 5.00414935029994e-05 |
102 | 0.999963010392152 | 7.39792156963539e-05 | 3.69896078481769e-05 |
103 | 0.99997426890258 | 5.14621948391044e-05 | 2.57310974195522e-05 |
104 | 0.999954809535684 | 9.03809286311219e-05 | 4.51904643155609e-05 |
105 | 0.999920159875505 | 0.000159680248989996 | 7.98401244949982e-05 |
106 | 0.99991356170867 | 0.00017287658266047 | 8.64382913302352e-05 |
107 | 0.999893584047346 | 0.000212831905308468 | 0.000106415952654234 |
108 | 0.999827474171662 | 0.000345051656675551 | 0.000172525828337776 |
109 | 0.999715127186284 | 0.000569745627431491 | 0.000284872813715745 |
110 | 0.999824237642467 | 0.000351524715065197 | 0.000175762357532598 |
111 | 0.999728458197225 | 0.000543083605550408 | 0.000271541802775204 |
112 | 0.999534151194514 | 0.000931697610972682 | 0.000465848805486341 |
113 | 0.999796877659058 | 0.000406244681884817 | 0.000203122340942408 |
114 | 0.999692354952027 | 0.000615290095946859 | 0.00030764504797343 |
115 | 0.999443841714082 | 0.0011123165718368 | 0.000556158285918399 |
116 | 0.999110813103423 | 0.00177837379315408 | 0.000889186896577038 |
117 | 0.999219978942929 | 0.0015600421141418 | 0.000780021057070902 |
118 | 0.999844394454803 | 0.00031121109039448 | 0.00015560554519724 |
119 | 0.999789201497146 | 0.000421597005708208 | 0.000210798502854104 |
120 | 0.99956876031149 | 0.000862479377020238 | 0.000431239688510119 |
121 | 0.999826897679308 | 0.000346204641383545 | 0.000173102320691772 |
122 | 0.999662485325255 | 0.000675029349489324 | 0.000337514674744662 |
123 | 0.999325195294062 | 0.00134960941187502 | 0.000674804705937509 |
124 | 0.99945181937037 | 0.00109636125925906 | 0.000548180629629531 |
125 | 0.999557683874435 | 0.000884632251130163 | 0.000442316125565081 |
126 | 0.99913408818733 | 0.00173182362533972 | 0.000865911812669862 |
127 | 0.99845518526795 | 0.00308962946409982 | 0.00154481473204991 |
128 | 0.999084848518078 | 0.00183030296384402 | 0.000915151481922012 |
129 | 0.997722375232425 | 0.00455524953515092 | 0.00227762476757546 |
130 | 0.994325675293488 | 0.0113486494130245 | 0.00567432470651225 |
131 | 0.986687830293742 | 0.0266243394125169 | 0.0133121697062584 |
132 | 0.991268303597141 | 0.0174633928057188 | 0.00873169640285942 |
133 | 0.977442763180974 | 0.0451144736380512 | 0.0225572368190256 |
134 | 0.992119849770826 | 0.0157603004583471 | 0.00788015022917356 |
135 | 0.976508539341171 | 0.0469829213176571 | 0.0234914606588285 |
136 | 0.998009178736582 | 0.0039816425268368 | 0.0019908212634184 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 65 | 0.503875968992248 | NOK |
5% type I error level | 94 | 0.728682170542636 | NOK |
10% type I error level | 102 | 0.790697674418605 | NOK |