Multiple Linear Regression - Estimated Regression Equation
Poular[t] = + 1.35086028455801 + 0.0042491286076238Friends[t] + 0.15135129972613Considerfriends[t] + 0.341801603945097FriendStudents[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)1.350860284558010.3630663.72070.0002790.00014
Friends0.00424912860762380.0790780.05370.9572180.478609
Considerfriends0.151351299726130.0832781.81740.071120.03556
FriendStudents0.3418016039450970.0722834.72875e-063e-06


Multiple Linear Regression - Regression Statistics
Multiple R0.460942309224963
R-squared0.212467812433641
Adjusted R-squared0.196924413994832
F-TEST (value)13.6693280604027
F-TEST (DF numerator)3
F-TEST (DF denominator)152
p-value6.09727346390088e-08
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation0.698728939181563
Sum Squared Residuals74.2097638283684


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
132.847315510002200.152684489997804
232.505513906057090.494486093942914
343.184867985339650.815132014660347
432.163712302111990.83628769788801
532.349913477723330.650086522276666
632.354162606330960.645837393669042
732.998666809728310.00133319027168608
822.35416260633096-0.354162606330958
932.505513906057090.494486093942913
1032.345664349115710.65433565088429
1133.33197015645816-0.331970156458163
1232.847315510002180.152684489997816
1333.18911711394728-0.189117113947281
1422.35416260633096-0.354162606330958
1532.847315510002180.152684489997816
1632.691715081668430.308284918331569
1722.84731551000218-0.847315510002184
1833.18911711394728-0.189117113947281
1922.34991347772333-0.349913477723334
2012.49701564884184-1.49701564884184
2122.34566434911571-0.345664349115711
2232.847315510002180.152684489997816
2333.18486798533966-0.184867985339657
2432.354162606330960.645837393669042
2532.847315510002180.152684489997816
2633.18486798533966-0.184867985339657
2722.99441768112069-0.99441768112069
2832.838817252786940.161182747213063
2932.843066381394560.156933618605439
3042.354162606330961.64583739366904
3132.349913477723330.650086522276666
3233.33621928506579-0.336219285065787
3332.998666809728310.00133319027168608
3432.847315510002180.152684489997816
3522.50126477744946-0.501264777449464
3633.34046841367341-0.340468413673411
3732.838817252786940.161182747213063
3832.349913477723330.650086522276666
3932.847315510002180.152684489997816
4043.340468413673410.659531586326589
4133.18486798533966-0.184867985339657
4232.509763034664710.490236965335289
4312.00811187377824-1.00811187377824
4422.34991347772333-0.349913477723334
4532.847315510002180.152684489997816
4642.998666809728311.00133319027169
4743.344717542281030.655282457718966
4822.34991347772333-0.349913477723334
4912.84731551000218-1.84731551000218
5033.18911711394728-0.189117113947281
5132.497015648841840.50298435115816
5212.35416260633096-1.35416260633096
5332.998666809728310.00133319027168608
5422.50551390605709-0.505513906057087
5533.33621928506579-0.336219285065787
5632.843066381394560.156933618605439
5722.84306638139456-0.84306638139456
5843.331970156458160.668029843541837
5912.88641451449502-1.88641451449502
6033.34046841367341-0.340468413673411
6122.35416260633096-0.354162606330958
6243.184867985339660.815132014660343
6333.18911711394728-0.189117113947281
6443.184867985339660.815132014660343
6532.505513906057090.494486093942913
6632.998666809728310.00133319027168608
6732.695964210276050.304035789723945
6832.354162606330960.645837393669042
6933.34046841367341-0.340468413673411
7011.86100970265973-0.861009702659732
7132.998666809728310.00133319027168608
7232.998666809728310.00133319027168608
7332.497015648841840.50298435115816
7422.34991347772333-0.349913477723334
7532.847315510002180.152684489997816
7632.847315510002180.152684489997816
7732.843066381394560.156933618605439
7822.84731551000218-0.847315510002184
7932.998666809728310.00133319027168608
8022.35416260633096-0.354162606330958
8122.50126477744946-0.501264777449464
8232.843066381394560.156933618605439
8332.843066381394560.156933618605439
8422.34991347772333-0.349913477723334
8522.35416260633096-0.354162606330958
8632.847315510002180.152684489997816
8722.34566434911571-0.345664349115711
8832.847315510002180.152684489997816
8942.843066381394561.15693361860544
9022.50551390605709-0.505513906057087
9132.843066381394560.156933618605439
9222.99866680972831-0.998666809728314
9343.336219285065790.663780714934213
9433.33621928506579-0.336219285065787
9532.847315510002180.152684489997816
9632.349913477723330.650086522276666
9732.163712302111990.83628769788801
9822.34566434911571-0.345664349115711
9932.847315510002180.152684489997816
10042.847315510002181.15268448999782
10143.682270017618510.317729982381492
10243.189117113947280.810882886052719
10333.53091871789238-0.530918717892378
10432.349913477723330.650086522276666
10511.86100970265973-0.861009702659732
10642.843066381394561.15693361860544
10712.84731551000218-1.84731551000218
10833.33621928506579-0.336219285065787
10922.34991347772333-0.349913477723334
11022.49701564884184-0.49701564884184
11132.998666809728310.00133319027168608
11233.18911711394728-0.189117113947281
11322.65686520578322-0.656865205783217
11432.985919423905440.014080576094557
11532.847315510002180.152684489997816
11643.189117113947280.810882886052719
11743.189117113947280.810882886052719
11832.501264777449460.498735222550536
11932.847315510002180.152684489997816
12032.505513906057090.494486093942913
12132.843066381394560.156933618605439
12233.18911711394728-0.189117113947281
12312.65686520578322-1.65686520578322
12423.18911711394728-1.18911711394728
12543.037765814221150.962234185778848
12632.656865205783220.343134794216783
12742.843066381394561.15693361860544
12832.843066381394560.156933618605439
12922.54461291054993-0.544612910549925
13012.99866680972831-1.99866680972831
13143.189117113947280.810882886052719
13232.695964210276050.304035789723945
13332.354162606330960.645837393669042
13432.998666809728310.00133319027168608
13542.847315510002181.15268448999782
13632.998666809728310.00133319027168608
13733.03776581422115-0.0377658142211516
13812.99441768112069-1.99441768112069
13943.336219285065790.663780714934213
14023.18911711394728-1.18911711394728
14123.18911711394728-1.18911711394728
14232.838817252786940.161182747213063
14332.695964210276050.304035789723945
14422.50551390605709-0.505513906057087
14532.847315510002180.152684489997816
14632.167961430719610.832038569280386
14722.65686520578322-0.656865205783217
14833.34046841367341-0.340468413673411
14943.189117113947280.810882886052719
15042.847315510002181.15268448999782
15142.998666809728311.00133319027169
15223.03776581422115-1.03776581422115
15332.505513906057090.494486093942913
15433.34046841367341-0.340468413673411
15532.838817252786940.161182747213063
15632.847315510002180.152684489997816


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
70.09970772019810540.1994154403962110.900292279801895
80.1841421392626940.3682842785253880.815857860737306
90.09722486049347430.1944497209869490.902775139506526
100.08376589503093690.1675317900618740.916234104969063
110.1207479725693950.2414959451387900.879252027430605
120.0696006217458460.1392012434916920.930399378254154
130.04075709765662920.08151419531325830.95924290234337
140.05958658574326830.1191731714865370.940413414256732
150.03431359743490970.06862719486981930.96568640256509
160.01925651887363760.03851303774727520.980743481126362
170.04667641808557530.09335283617115050.953323581914425
180.02826629427274690.05653258854549370.971733705727253
190.03800364635696910.07600729271393810.96199635364303
200.2803443941833750.560688788366750.719655605816625
210.2294032800681100.4588065601362190.77059671993189
220.1762525369686840.3525050739373680.823747463031316
230.1324680628665020.2649361257330040.867531937133498
240.1098511370946070.2197022741892140.890148862905393
250.07975276419779120.1595055283955820.920247235802209
260.05674598373776770.1134919674755350.943254016262232
270.0626696535176190.1253393070352380.937330346482381
280.05385032222023040.1077006444404610.94614967777977
290.03993572703621830.07987145407243660.960064272963782
300.1089998333339250.2179996666678510.891000166666075
310.09339409218659810.1867881843731960.906605907813402
320.07146137342020510.1429227468404100.928538626579795
330.05351293925285780.1070258785057160.946487060747142
340.03877108115617120.07754216231234240.961228918843829
350.03308005420895570.06616010841791140.966919945791044
360.02409562470951520.04819124941903030.975904375290485
370.01975995598203100.03951991196406190.980240044017969
380.01622559660163250.03245119320326500.983774403398368
390.01117691772820060.02235383545640130.9888230822718
400.01464943079699970.02929886159399930.985350569203
410.01033184355007360.02066368710014710.989668156449926
420.007537579714024050.01507515942804810.992462420285976
430.01887671648761270.03775343297522550.981123283512387
440.01642352129853760.03284704259707520.983576478701462
450.01162474381526100.02324948763052210.988375256184739
460.02095525448555530.04191050897111060.979044745514445
470.0177576808991540.0355153617983080.982242319100846
480.01477040702274630.02954081404549260.985229592977254
490.1343565183257220.2687130366514450.865643481674278
500.1137309902822180.2274619805644360.886269009717782
510.1154400188144160.2308800376288310.884559981185584
520.2371223556995190.4742447113990370.762877644300481
530.2000808473159280.4001616946318560.799919152684072
540.1885578136702640.3771156273405280.811442186329736
550.1614500948006650.3229001896013310.838549905199335
560.1350633552629320.2701267105258650.864936644737068
570.1456901841314260.2913803682628510.854309815868574
580.1575204785480050.3150409570960090.842479521451995
590.3680024958604070.7360049917208140.631997504139593
600.3341844112789820.6683688225579640.665815588721018
610.3012913410320950.602582682064190.698708658967905
620.3322074290132590.6644148580265180.667792570986741
630.2918839966580720.5837679933161430.708116003341928
640.3161578926423150.632315785284630.683842107357685
650.2916935231904680.5833870463809370.708306476809532
660.2538415427081340.5076830854162690.746158457291866
670.2272250287961910.4544500575923820.772774971203809
680.2221872101186590.4443744202373180.777812789881341
690.1970891902943000.3941783805886010.8029108097057
700.2127580898611840.4255161797223670.787241910138816
710.1812613652380670.3625227304761330.818738634761933
720.1528238698189690.3056477396379390.84717613018103
730.1377592255313770.2755184510627530.862240774468623
740.1193434871636150.2386869743272310.880656512836385
750.0985025032567540.1970050065135080.901497496743246
760.08046589945780130.1609317989156030.919534100542199
770.06507200560540620.1301440112108120.934927994394594
780.07236747812281540.1447349562456310.927632521877185
790.05800184781893960.1160036956378790.94199815218106
800.04860302938107990.09720605876215970.95139697061892
810.04404778457314270.08809556914628540.955952215426857
820.03463919892401080.06927839784802160.96536080107599
830.02694170918061200.05388341836122410.973058290819388
840.02213111640185270.04426223280370530.977868883598147
850.01808962929000840.03617925858001690.981910370709992
860.01368135806617170.02736271613234330.986318641933828
870.01123934846123020.02247869692246050.98876065153877
880.008337146304660.016674292609320.99166285369534
890.01394060142493390.02788120284986780.986059398575066
900.01233250541720130.02466501083440260.987667494582799
910.009155764043337140.01831152808667430.990844235956663
920.01274376320711050.02548752641422100.98725623679289
930.01245960241201480.02491920482402960.987540397587985
940.009771683254702770.01954336650940550.990228316745297
950.00718867542906590.01437735085813180.992811324570934
960.006649658522241850.01329931704448370.993350341477758
970.00716927703937110.01433855407874220.992830722960629
980.005718777859408440.01143755571881690.994281222140592
990.00411447724623550.0082289544924710.995885522753765
1000.007156189106253020.01431237821250600.992843810893747
1010.005629016044106240.01125803208821250.994370983955894
1020.00639968175511950.0127993635102390.99360031824488
1030.005286634422416950.01057326884483390.994713365577583
1040.004784006452359270.009568012904718540.99521599354764
1050.006655351253533620.01331070250706720.993344648746466
1060.01095181340488100.02190362680976190.989048186595119
1070.05459221817161760.1091844363432350.945407781828382
1080.04383362641250040.08766725282500080.9561663735875
1090.03921296329045520.07842592658091040.960787036709545
1100.03707624620146050.0741524924029210.96292375379854
1110.02854845001063340.05709690002126690.971451549989367
1120.02141930066753770.04283860133507540.978580699332462
1130.02001555352686140.04003110705372280.979984446473139
1140.01461734930181050.02923469860362110.98538265069819
1150.01056855288637330.02113710577274660.989431447113627
1160.01211366234749400.02422732469498800.987886337652506
1170.01434421848623250.02868843697246510.985655781513767
1180.01100011215453700.02200022430907390.988999887845463
1190.007799506823163540.01559901364632710.992200493176836
1200.005952793714356280.01190558742871260.994047206285644
1210.004065077027283970.008130154054567950.995934922972716
1220.002722839128477220.005445678256954440.997277160871523
1230.01215354613321770.02430709226643530.987846453866782
1240.01793661754454030.03587323508908070.98206338245546
1250.02196356718023700.04392713436047410.978036432819763
1260.01615748066819680.03231496133639360.983842519331803
1270.02507293873372870.05014587746745740.974927061266271
1280.01794242779601610.03588485559203210.982057572203984
1290.01988637015036340.03977274030072690.980113629849637
1300.1106620576050040.2213241152100070.889337942394996
1310.1261296568627960.2522593137255920.873870343137204
1320.09677923735399260.1935584747079850.903220762646007
1330.07664585119585950.1532917023917190.92335414880414
1340.05525381686483880.1105076337296780.94474618313516
1350.08143715284356140.1628743056871230.918562847156439
1360.05820412342080450.1164082468416090.941795876579196
1370.04051686194542160.08103372389084320.959483138054578
1380.2867071467180200.5734142934360390.71329285328198
1390.2897466614664650.579493322932930.710253338533535
1400.3411469881489440.6822939762978890.658853011851056
1410.4503075084553850.900615016910770.549692491544615
1420.3632741257220730.7265482514441460.636725874277927
1430.2848621822850230.5697243645700450.715137817714977
1440.3050200754160750.6100401508321510.694979924583925
1450.2197133650638830.4394267301277660.780286634936117
1460.1555406201593220.3110812403186440.844459379840678
1470.3646953917173370.7293907834346730.635304608282663
1480.3063098183805050.612619636761010.693690181619495
1490.4635102069742370.9270204139484750.536489793025763


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level40.0279720279720280NOK
5% type I error level540.377622377622378NOK
10% type I error level720.503496503496504NOK