| Multiple Linear Regression - Estimated Regression Equation |
| Time[t] = + 9857.23665765622 + 707.928342221022Blogged[t] + 477.218186365504Reviewed[t] + 235.510741573466Feedback[t] + 1.22120797555652`Writing `[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) | 9857.23665765622 | 5910.346129 | 1.6678 | 0.097608 | 0.048804 |
| Blogged | 707.928342221022 | 199.990143 | 3.5398 | 0.000545 | 0.000273 |
| Reviewed | 477.218186365504 | 621.476752 | 0.7679 | 0.443862 | 0.221931 |
| Feedback | 235.510741573466 | 194.916651 | 1.2083 | 0.228997 | 0.114499 |
| `Writing ` | 1.22120797555652 | 0.158027 | 7.7278 | 0 | 0 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.884100316526906 |
| R-squared | 0.781633369682976 |
| Adjusted R-squared | 0.775349437875291 |
| F-TEST (value) | 124.386036259524 |
| F-TEST (DF numerator) | 4 |
| F-TEST (DF denominator) | 139 |
| p-value | 0 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 28021.7525003057 |
| Sum Squared Residuals | 109145387233.186 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 127476 | 73649.8132461643 | 53826.1867538357 |
| 2 | 130358 | 146491.030670635 | -16133.0306706351 |
| 3 | 7215 | 12212.9468425047 | -4997.94684250474 |
| 4 | 112861 | 111378.095611622 | 1482.9043883775 |
| 5 | 210171 | 179114.19372847 | 31056.8062715302 |
| 6 | 393802 | 330935.665511004 | 62866.334488996 |
| 7 | 117604 | 123056.674475724 | -5452.67447572371 |
| 8 | 126029 | 150458.316659924 | -24429.3166599241 |
| 9 | 99729 | 110395.618517604 | -10666.618517604 |
| 10 | 256310 | 198661.440769372 | 57648.5592306279 |
| 11 | 113066 | 109616.433278865 | 3449.56672113523 |
| 12 | 156212 | 173652.391907767 | -17440.3919077666 |
| 13 | 69952 | 73736.5713299593 | -3784.57132995929 |
| 14 | 152673 | 141924.99469872 | 10748.0053012799 |
| 15 | 125841 | 110018.37037463 | 15822.6296253704 |
| 16 | 125769 | 127733.968631736 | -1964.96863173615 |
| 17 | 123467 | 175430.435570909 | -51963.4355709086 |
| 18 | 56232 | 26921.0894614648 | 29310.9105385352 |
| 19 | 108244 | 129097.423603772 | -20853.4236037724 |
| 20 | 22762 | 45342.1718350594 | -22580.1718350594 |
| 21 | 48554 | 58994.6793672857 | -10440.6793672857 |
| 22 | 178697 | 197742.673498863 | -19045.673498863 |
| 23 | 139115 | 76822.8360238093 | 62292.1639761907 |
| 24 | 93773 | 99664.3467959975 | -5891.34679599753 |
| 25 | 133398 | 134032.57103866 | -634.571038659822 |
| 26 | 113933 | 99177.3714734155 | 14755.6285265845 |
| 27 | 144781 | 137292.539270833 | 7488.46072916692 |
| 28 | 140711 | 190466.720605759 | -49755.7206057593 |
| 29 | 283337 | 202004.790000317 | 81332.2099996833 |
| 30 | 158146 | 144068.357626853 | 14077.6423731467 |
| 31 | 123344 | 106226.468836885 | 17117.531163115 |
| 32 | 157640 | 147142.140504734 | 10497.8594952656 |
| 33 | 91279 | 87760.8997626496 | 3518.10023735041 |
| 34 | 189374 | 114580.026863377 | 74793.9731366234 |
| 35 | 167915 | 164815.922115231 | 3099.07788476899 |
| 36 | 0 | 9857.23665765621 | -9857.23665765621 |
| 37 | 175403 | 116939.730209614 | 58463.2697903857 |
| 38 | 92342 | 95916.5186403565 | -3574.51864035649 |
| 39 | 100023 | 108973.703769333 | -8950.70376933312 |
| 40 | 178277 | 244688.234735858 | -66411.2347358581 |
| 41 | 145062 | 136125.41790582 | 8936.58209417972 |
| 42 | 110980 | 110517.804243495 | 462.195756505333 |
| 43 | 86039 | 106636.850076683 | -20597.8500766829 |
| 44 | 120821 | 125623.651286778 | -4802.6512867779 |
| 45 | 95535 | 112170.530300717 | -16635.5303007169 |
| 46 | 109894 | 113667.066789917 | -3773.06678991723 |
| 47 | 61554 | 77537.4748805821 | -15983.4748805821 |
| 48 | 156520 | 120269.315116851 | 36250.684883149 |
| 49 | 159121 | 155156.580439044 | 3964.41956095636 |
| 50 | 129362 | 118626.941597537 | 10735.0584024629 |
| 51 | 48188 | 56124.6283196579 | -7936.62831965793 |
| 52 | 91198 | 102617.715189068 | -11419.7151890676 |
| 53 | 229864 | 181106.003682016 | 48757.996317984 |
| 54 | 180317 | 130753.601141523 | 49563.3988584774 |
| 55 | 150640 | 153192.946906518 | -2552.94690651799 |
| 56 | 104416 | 102271.451362855 | 2144.54863714487 |
| 57 | 165098 | 121702.841574704 | 43395.1584252963 |
| 58 | 63205 | 86907.1664685652 | -23702.1664685652 |
| 59 | 100056 | 133517.408000168 | -33461.4080001679 |
| 60 | 137214 | 89730.384271769 | 47483.615728231 |
| 61 | 99630 | 119076.520070796 | -19446.5200707963 |
| 62 | 84557 | 99386.0582150643 | -14829.0582150643 |
| 63 | 91199 | 99900.9317176245 | -8701.93171762445 |
| 64 | 83419 | 110811.538070145 | -27392.5380701451 |
| 65 | 101723 | 98901.7991536122 | 2821.20084638779 |
| 66 | 94982 | 130028.513728364 | -35046.5137283638 |
| 67 | 129700 | 206096.780469493 | -76396.7804694932 |
| 68 | 110708 | 145702.878198391 | -34994.8781983907 |
| 69 | 81518 | 118922.921848357 | -37404.9218483569 |
| 70 | 31970 | 38322.970168182 | -6352.97016818198 |
| 71 | 192268 | 134447.62000741 | 57820.3799925902 |
| 72 | 87611 | 87978.4868170103 | -367.486817010326 |
| 73 | 77890 | 110402.338509731 | -32512.3385097308 |
| 74 | 83261 | 70055.8402722351 | 13205.1597277649 |
| 75 | 116290 | 132344.650320484 | -16054.6503204836 |
| 76 | 56544 | 47760.4607959082 | 8783.5392040918 |
| 77 | 116173 | 137489.115936331 | -21316.115936331 |
| 78 | 111488 | 161670.530852588 | -50182.5308525883 |
| 79 | 60138 | 68817.814647251 | -8679.81464725097 |
| 80 | 73422 | 91895.957557278 | -18473.9575572779 |
| 81 | 67751 | 102285.297733243 | -34534.2977332434 |
| 82 | 213351 | 126188.785634363 | 87162.2143656367 |
| 83 | 51185 | 73824.4187107642 | -22639.4187107642 |
| 84 | 97181 | 106604.993457097 | -9423.99345709692 |
| 85 | 45100 | 55717.5454808818 | -10617.5454808818 |
| 86 | 115801 | 111343.632952519 | 4457.36704748072 |
| 87 | 185664 | 157442.334519777 | 28221.665480223 |
| 88 | 71960 | 91279.4028100301 | -19319.4028100301 |
| 89 | 76441 | 80866.6781443366 | -4425.67814433665 |
| 90 | 103613 | 106586.709092439 | -2973.70909243935 |
| 91 | 98707 | 123104.791061855 | -24397.7910618555 |
| 92 | 126527 | 143672.650827612 | -17145.6508276117 |
| 93 | 136781 | 124450.522722327 | 12330.4772776732 |
| 94 | 105863 | 80011.4430642086 | 25851.5569357914 |
| 95 | 38775 | 59795.8550295581 | -21020.8550295581 |
| 96 | 179984 | 170259.428010494 | 9724.57198950582 |
| 97 | 164808 | 170065.122712433 | -5257.12271243271 |
| 98 | 19349 | 31266.0046901398 | -11917.0046901398 |
| 99 | 146824 | 97372.8089496488 | 49451.1910503512 |
| 100 | 108660 | 109679.816166432 | -1019.81616643228 |
| 101 | 43803 | 22571.3133351191 | 21231.6866648809 |
| 102 | 47062 | 84311.7528147829 | -37249.7528147829 |
| 103 | 110845 | 93781.1575640835 | 17063.8424359165 |
| 104 | 92517 | 91696.1887740071 | 820.811225992871 |
| 105 | 58660 | 67620.0199523816 | -8960.01995238164 |
| 106 | 27676 | 25772.3360094486 | 1903.66399055139 |
| 107 | 98550 | 134734.871580046 | -36184.8715800461 |
| 108 | 43284 | 26377.0888379567 | 16906.9111620433 |
| 109 | 0 | 9857.23665765621 | -9857.23665765621 |
| 110 | 66016 | 98033.620526654 | -32017.620526654 |
| 111 | 57359 | 69192.4191117508 | -11833.4191117508 |
| 112 | 96933 | 111679.471139932 | -14746.471139932 |
| 113 | 70369 | 111590.104717359 | -41221.1047173591 |
| 114 | 65494 | 74778.5623933286 | -9284.56239332861 |
| 115 | 3616 | 9857.2366576562 | -6241.23665765621 |
| 116 | 0 | 9857.23665765621 | -9857.23665765621 |
| 117 | 143931 | 125492.200502674 | 18438.7994973256 |
| 118 | 109894 | 145892.62238741 | -35998.6223874098 |
| 119 | 122973 | 90695.6142585 | 32277.3857415 |
| 120 | 84336 | 94051.82503629 | -9715.82503629004 |
| 121 | 43410 | 16012.3611679715 | 27397.6388320285 |
| 122 | 136250 | 149660.892192599 | -13410.892192599 |
| 123 | 79015 | 84755.3696777102 | -5740.3696777102 |
| 124 | 92937 | 89957.6852069015 | 2979.31479309852 |
| 125 | 57586 | 31452.6049987856 | 26133.3950012144 |
| 126 | 19764 | 30955.9309922409 | -11191.9309922409 |
| 127 | 105757 | 118079.942544389 | -12322.9425443892 |
| 128 | 96410 | 85622.782227644 | 10787.217772356 |
| 129 | 113402 | 109887.69896265 | 3514.30103734972 |
| 130 | 11796 | 11755.1121141817 | 40.8878858182956 |
| 131 | 7627 | 9857.2366576562 | -2230.23665765621 |
| 132 | 121085 | 88371.9551909701 | 32713.0448090299 |
| 133 | 6836 | 10334.4548440217 | -3498.45484402171 |
| 134 | 139563 | 108336.405189434 | 31226.5948105661 |
| 135 | 5118 | 13396.8783687613 | -8278.87836876132 |
| 136 | 40248 | 26420.0136809465 | 13827.9863190535 |
| 137 | 0 | 9857.23665765621 | -9857.23665765621 |
| 138 | 95079 | 81434.4152186778 | 13644.5847813222 |
| 139 | 80750 | 70420.5978784354 | 10329.4021215646 |
| 140 | 7131 | 9857.2366576562 | -2726.23665765621 |
| 141 | 4194 | 9857.2366576562 | -5663.23665765621 |
| 142 | 60378 | 51686.4662239663 | 8691.53377603374 |
| 143 | 96971 | 117975.424180971 | -21004.4241809715 |
| 144 | 83484 | 90952.0203893475 | -7468.02038934746 |
| Goldfeld-Quandt test for Heteroskedasticity | |||
| p-values | Alternative Hypothesis | ||
| breakpoint index | greater | 2-sided | less |
| 8 | 0.91854680147027 | 0.162906397059458 | 0.0814531985297292 |
| 9 | 0.857461265712566 | 0.285077468574867 | 0.142538734287434 |
| 10 | 0.889016129046492 | 0.221967741907016 | 0.110983870953508 |
| 11 | 0.82400787554659 | 0.351984248906821 | 0.17599212445341 |
| 12 | 0.817154317696136 | 0.365691364607727 | 0.182845682303864 |
| 13 | 0.740382067458835 | 0.51923586508233 | 0.259617932541165 |
| 14 | 0.662970187053432 | 0.674059625893136 | 0.337029812946568 |
| 15 | 0.587094311883303 | 0.825811376233394 | 0.412905688116697 |
| 16 | 0.511864593231855 | 0.97627081353629 | 0.488135406768145 |
| 17 | 0.770310241439463 | 0.459379517121074 | 0.229689758560537 |
| 18 | 0.742523749743285 | 0.51495250051343 | 0.257476250256715 |
| 19 | 0.702944333469133 | 0.594111333061733 | 0.297055666530867 |
| 20 | 0.683886863915757 | 0.632226272168486 | 0.316113136084243 |
| 21 | 0.626586319058215 | 0.74682736188357 | 0.373413680941785 |
| 22 | 0.588371072368316 | 0.823257855263369 | 0.411628927631684 |
| 23 | 0.810301014480061 | 0.379397971039877 | 0.189698985519939 |
| 24 | 0.765191356989348 | 0.469617286021304 | 0.234808643010652 |
| 25 | 0.70932712537879 | 0.58134574924242 | 0.29067287462121 |
| 26 | 0.658446836877138 | 0.683106326245724 | 0.341553163122862 |
| 27 | 0.599256554874465 | 0.80148689025107 | 0.400743445125535 |
| 28 | 0.786021404748473 | 0.427957190503053 | 0.213978595251526 |
| 29 | 0.895853917473308 | 0.208292165053384 | 0.104146082526692 |
| 30 | 0.873049465775558 | 0.253901068448884 | 0.126950534224442 |
| 31 | 0.847279245823809 | 0.305441508352383 | 0.152720754176191 |
| 32 | 0.816806713732928 | 0.366386572534144 | 0.183193286267072 |
| 33 | 0.80183883244727 | 0.39632233510546 | 0.19816116755273 |
| 34 | 0.97932005126798 | 0.0413598974640398 | 0.0206799487320199 |
| 35 | 0.97337584291341 | 0.0532483141731784 | 0.0266241570865892 |
| 36 | 0.965890201351583 | 0.0682195972968335 | 0.0341097986484167 |
| 37 | 0.985438391474043 | 0.0291232170519141 | 0.0145616085259571 |
| 38 | 0.979890126326365 | 0.0402197473472707 | 0.0201098736736353 |
| 39 | 0.97460748675465 | 0.050785026490701 | 0.0253925132453505 |
| 40 | 0.995394528756124 | 0.00921094248775174 | 0.00460547124387587 |
| 41 | 0.99362262906581 | 0.0127547418683802 | 0.00637737093419012 |
| 42 | 0.990809731519525 | 0.0183805369609507 | 0.00919026848047535 |
| 43 | 0.988959125770249 | 0.0220817484595026 | 0.0110408742297513 |
| 44 | 0.98489097256481 | 0.0302180548703818 | 0.0151090274351909 |
| 45 | 0.981675821627426 | 0.0366483567451483 | 0.0183241783725741 |
| 46 | 0.975235135044783 | 0.0495297299104333 | 0.0247648649552167 |
| 47 | 0.96946703659304 | 0.0610659268139202 | 0.0305329634069601 |
| 48 | 0.9741270743343 | 0.0517458513313997 | 0.0258729256656999 |
| 49 | 0.965980386811104 | 0.068039226377791 | 0.0340196131888955 |
| 50 | 0.95699063913744 | 0.0860187217251205 | 0.0430093608625602 |
| 51 | 0.945817719320425 | 0.108364561359149 | 0.0541822806795745 |
| 52 | 0.934524002612516 | 0.130951994774969 | 0.0654759973874843 |
| 53 | 0.966035972218412 | 0.0679280555631762 | 0.0339640277815881 |
| 54 | 0.98292255479245 | 0.0341548904151011 | 0.0170774452075506 |
| 55 | 0.977504146391763 | 0.0449917072164738 | 0.0224958536082369 |
| 56 | 0.971230019058884 | 0.0575399618822327 | 0.0287699809411163 |
| 57 | 0.981848696346708 | 0.0363026073065832 | 0.0181513036532916 |
| 58 | 0.980552114356143 | 0.0388957712877137 | 0.0194478856438568 |
| 59 | 0.981717820205803 | 0.0365643595883945 | 0.0182821797941972 |
| 60 | 0.988823283253455 | 0.0223534334930903 | 0.0111767167465452 |
| 61 | 0.986483958263227 | 0.0270320834735458 | 0.0135160417367729 |
| 62 | 0.982927205033726 | 0.0341455899325481 | 0.017072794966274 |
| 63 | 0.97754670493267 | 0.0449065901346589 | 0.0224532950673295 |
| 64 | 0.976832515213304 | 0.0463349695733917 | 0.0231674847866959 |
| 65 | 0.969805404295934 | 0.0603891914081325 | 0.0301945957040663 |
| 66 | 0.97340070074351 | 0.0531985985129795 | 0.0265992992564897 |
| 67 | 0.996262564086527 | 0.00747487182694543 | 0.00373743591347271 |
| 68 | 0.997107999392618 | 0.00578400121476467 | 0.00289200060738234 |
| 69 | 0.998080811197779 | 0.00383837760444245 | 0.00191918880222123 |
| 70 | 0.997310430860418 | 0.0053791382791637 | 0.00268956913958185 |
| 71 | 0.999684504684707 | 0.000630990630586445 | 0.000315495315293222 |
| 72 | 0.999587067635796 | 0.000825864728407235 | 0.000412932364203617 |
| 73 | 0.999634593886313 | 0.00073081222737381 | 0.000365406113686905 |
| 74 | 0.999571919491552 | 0.000856161016895515 | 0.000428080508447757 |
| 75 | 0.999444985785596 | 0.00111002842880887 | 0.000555014214404434 |
| 76 | 0.999328697468524 | 0.00134260506295271 | 0.000671302531476354 |
| 77 | 0.999167216243223 | 0.00166556751355451 | 0.000832783756777254 |
| 78 | 0.999754926066383 | 0.000490147867233011 | 0.000245073933616506 |
| 79 | 0.999653480379276 | 0.000693039241448226 | 0.000346519620724113 |
| 80 | 0.999557077050015 | 0.000885845899970394 | 0.000442922949985197 |
| 81 | 0.999612924818034 | 0.00077415036393141 | 0.000387075181965705 |
| 82 | 0.999998243069962 | 3.51386007671134e-06 | 1.75693003835567e-06 |
| 83 | 0.99999782879603 | 4.34240793778973e-06 | 2.17120396889487e-06 |
| 84 | 0.999996276894249 | 7.44621150229493e-06 | 3.72310575114746e-06 |
| 85 | 0.999994666056083 | 1.0667887833468e-05 | 5.33394391673401e-06 |
| 86 | 0.99999042632223 | 1.91473555398837e-05 | 9.57367776994184e-06 |
| 87 | 0.99999513628735 | 9.72742530030427e-06 | 4.86371265015214e-06 |
| 88 | 0.999993550174553 | 1.28996508946124e-05 | 6.44982544730618e-06 |
| 89 | 0.999988781265405 | 2.24374691908336e-05 | 1.12187345954168e-05 |
| 90 | 0.999980246359383 | 3.95072812337194e-05 | 1.97536406168597e-05 |
| 91 | 0.999980118009547 | 3.97639809056351e-05 | 1.98819904528175e-05 |
| 92 | 0.999967231778222 | 6.55364435561328e-05 | 3.27682217780664e-05 |
| 93 | 0.999950706457039 | 9.8587085922872e-05 | 4.9293542961436e-05 |
| 94 | 0.999963528281968 | 7.29434360631456e-05 | 3.64717180315728e-05 |
| 95 | 0.99995496763043 | 9.00647391396904e-05 | 4.50323695698452e-05 |
| 96 | 0.99992283734812 | 0.000154325303759297 | 7.71626518796487e-05 |
| 97 | 0.9999472022445 | 0.000105595510999739 | 5.27977554998697e-05 |
| 98 | 0.99990834828299 | 0.00018330343402093 | 9.16517170104649e-05 |
| 99 | 0.999977128739718 | 4.57425205639097e-05 | 2.28712602819548e-05 |
| 100 | 0.9999571993565 | 8.5601286998955e-05 | 4.28006434994775e-05 |
| 101 | 0.999954521442038 | 9.09571159246316e-05 | 4.54785579623158e-05 |
| 102 | 0.999966329645272 | 6.73407094564244e-05 | 3.36703547282122e-05 |
| 103 | 0.999976556834121 | 4.68863317573703e-05 | 2.34431658786852e-05 |
| 104 | 0.99995868023239 | 8.26395352200129e-05 | 4.13197676100064e-05 |
| 105 | 0.99992674852383 | 0.000146502952340469 | 7.32514761702344e-05 |
| 106 | 0.999920530169469 | 0.000158939661061505 | 7.94698305307527e-05 |
| 107 | 0.999901956895097 | 0.000196086209806428 | 9.80431049032139e-05 |
| 108 | 0.9998404332555 | 0.000319133488999757 | 0.000159566744499879 |
| 109 | 0.999735647682496 | 0.00052870463500764 | 0.00026435231750382 |
| 110 | 0.999836865861793 | 0.000326268276414147 | 0.000163134138207073 |
| 111 | 0.999747318907413 | 0.000505362185173467 | 0.000252681092586734 |
| 112 | 0.999565044336219 | 0.000869911327562198 | 0.000434955663781099 |
| 113 | 0.999810474489976 | 0.000379051020048163 | 0.000189525510024082 |
| 114 | 0.999712137695024 | 0.000575724609951846 | 0.000287862304975923 |
| 115 | 0.999477798877883 | 0.00104440224423422 | 0.000522201122117112 |
| 116 | 0.999162468653493 | 0.00167506269301498 | 0.000837531346507488 |
| 117 | 0.999263812069702 | 0.0014723758605962 | 0.0007361879302981 |
| 118 | 0.999853389250572 | 0.000293221498855528 | 0.000146610749427764 |
| 119 | 0.999800420801867 | 0.000399158396265933 | 0.000199579198132966 |
| 120 | 0.999590454882357 | 0.000819090235285372 | 0.000409545117642686 |
| 121 | 0.999835522951521 | 0.000328954096957614 | 0.000164477048478807 |
| 122 | 0.99967829394887 | 0.000643412102257731 | 0.000321706051128866 |
| 123 | 0.999354735667438 | 0.00129052866512292 | 0.000645264332561461 |
| 124 | 0.999474882259115 | 0.00105023548176941 | 0.000525117740884703 |
| 125 | 0.999575196296483 | 0.0008496074070345 | 0.00042480370351725 |
| 126 | 0.999165730396305 | 0.00166853920738932 | 0.00083426960369466 |
| 127 | 0.998507248972926 | 0.002985502054148 | 0.001492751027074 |
| 128 | 0.999114049833173 | 0.00177190033365445 | 0.000885950166827224 |
| 129 | 0.997787605868404 | 0.00442478826319202 | 0.00221239413159601 |
| 130 | 0.99446994518237 | 0.0110601096352585 | 0.00553005481762924 |
| 131 | 0.986983792828875 | 0.0260324143422492 | 0.0130162071711246 |
| 132 | 0.991444771545803 | 0.017110456908394 | 0.008555228454197 |
| 133 | 0.9778271082146 | 0.0443457835708007 | 0.0221728917854004 |
| 134 | 0.992240671237726 | 0.0155186575245477 | 0.00775932876227387 |
| 135 | 0.976794777300829 | 0.0464104453983426 | 0.0232052226991713 |
| 136 | 0.99802874361145 | 0.00394251277709943 | 0.00197125638854971 |
| 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 | 90 | 0.697674418604651 | NOK |
| 10% type I error level | 101 | 0.782945736434108 | NOK |
