Multiple Linear Regression - Estimated Regression Equation
Fat[t] = + 3.46446917493056 -2.07442577566231Density[t] + 0.0705592926470338Age[t] -0.0783934514200624Weight[t] -0.0459118591136573Height[t] -0.476184080075973Neck[t] -0.019993427804318Chest[t] + 0.856618191495847Abdomen[t] -0.246802192207272Hip[t] + 0.28919293084057Thigh[t] + 0.185852531713632Knee[t] + 0.110142959754307Ankle[t] + 0.159976375626986Biceps[t] + 0.4338780396212Forearm[t] -1.50455290326014Wrist[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)3.4644691749305617.4759120.19820.8430250.421513
Density-2.074425775662310.480743-4.3152.3e-051.2e-05
Age0.07055929264703380.0312762.2560.0249810.012491
Weight-0.07839345142006240.0517-1.51630.1307750.065388
Height-0.04591185911365730.092801-0.49470.6212450.310623
Neck-0.4761840800759730.224316-2.12280.0348060.017403
Chest-0.0199934278043180.095673-0.2090.8346460.417323
Abdomen0.8566181914958470.0864629.907500
Hip-0.2468021922072720.141085-1.74930.0815320.040766
Thigh0.289192930840570.1398362.06810.0397170.019859
Knee0.1858525317136320.2368110.78480.4333470.216674
Ankle0.1101429597543070.2142090.51420.6076020.303801
Biceps0.1599763756269860.1651980.96840.3338370.166918
Forearm0.43387803962120.192192.25760.0248840.012442
Wrist-1.504552903260140.516881-2.91080.0039480.001974


Multiple Linear Regression - Regression Statistics
Multiple R0.875973415883793
R-squared0.76732942533512
Adjusted R-squared0.753585171979389
F-TEST (value)55.8291094812471
F-TEST (DF numerator)14
F-TEST (DF denominator)237
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation4.15425848735143
Sum Squared Residuals4090.11366839634


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
112.315.9199351191195-3.61993511911949
26.18.66045668215501-2.56045668215501
325.318.68224507799016.61775492200987
410.411.767791802012-1.36779180201196
528.727.48217488234091.21782511765909
620.917.47155627955153.42844372044848
719.216.59468910972832.60531089027173
812.414.1586844912188-1.75868449121883
94.19.88578105584531-5.78578105584531
1011.710.67066764824441.02933235175557
117.19.41442817274954-2.31442817274954
127.812.7220441516948-4.92204415169484
1320.817.87033159808422.92966840191576
1421.224.7240559254832-3.52405592548321
1522.124.2112524780163-2.11125247801627
1620.922.8692758403064-1.96927584030642
172923.86930627858255.13069372141754
1822.919.50987144285333.39012855714671
191616.7715315573044-0.77153155730443
2016.522.6568857883471-6.15688578834707
2119.120.4967148773441-1.39671487734409
2215.219.4831158782399-4.28311587823991
2315.69.886679149502845.71332085049716
2417.711.39465159508546.30534840491465
25148.47980236846445.5201976315356
263.78.22621456256947-4.52621456256947
277.99.10961026056871-1.20961026056871
2822.917.68935422225265.21064577774744
293.75.93115895930214-2.23115895930214
308.811.1058863131255-2.30588631312546
3111.913.8415368913955-1.94153689139553
325.710.9045007967427-5.20450079674272
3311.86.493350533402345.30664946659766
3421.324.2853912916875-2.98539129168751
3532.331.91108513996530.388914860034695
3640.135.99735816538484.10264183461519
3724.223.89890616138960.301093838610388
3828.422.45969477354925.94030522645076
3935.242.2860334746234-7.08603347462343
4032.632.04705759748180.55294240251817
4134.534.7310312083206-0.23103120832061
4232.931.74756706375361.15243293624635
4331.633.4222038893585-1.82220388935851
443226.35513679555315.64486320444688
457.710.6728409364813-2.97284093648126
4613.910.69131803925343.20868196074656
4710.88.072636667966482.72736333203352
485.610.0569095365757-4.45690953657568
4913.617.4763486296056-3.8763486296056
5045.67412068913163-1.67412068913163
5110.214.2483855068306-4.0483855068306
526.69.25193728759104-2.65193728759104
53813.3198178917093-5.31981789170929
546.310.971615845097-4.67161584509702
553.97.38217468460199-3.48217468460199
5622.623.0885315447135-0.488531544713525
5720.425.4869596313078-5.08695963130785
582827.34188097209080.658119027909185
5931.528.29601535175643.20398464824362
6024.625.8474395826721-1.24743958267213
6126.125.50283663206460.597163367935438
6229.823.79463659623666.00536340376343
6330.727.50662157597993.19337842402014
6425.827.2502050472702-1.45020504727024
6532.329.94720610659322.35279389340683
663026.33717911367463.66282088632537
6721.515.76370980712175.73629019287832
6813.815.4897015218144-1.68970152181436
696.39.00994077050197-2.70994077050197
7012.913.8494499763274-0.949449976327361
7124.319.89414102196524.40585897803481
728.813.0257236162847-4.22572361628468
738.511.1000379214003-2.60003792140026
7413.511.94025551561521.55974448438485
7511.816.4930881934111-4.69308819341111
7618.512.48569090242986.01430909757024
778.89.85099161677834-1.05099161677833
7822.219.3750988750492.824901124951
7921.522.7502279583558-1.25022795835576
8018.824.3382649232555-5.53826492325547
8131.422.2498791436269.15012085637403
8226.818.23704599948138.56295400051872
8318.422.7821693873353-4.38216938733533
842721.24257920541315.75742079458693
852726.64180374327970.358196256720298
8626.620.56910094111036.03089905888975
8714.917.6813573013418-2.78135730134179
8823.122.35037532268590.749624677314055
898.312.9003241142948-4.60032411429481
9014.114.8894021525257-0.789402152525685
9120.521.2407679844085-0.740767984408521
9218.217.67475734779430.5252426522057
938.511.410069501425-2.91006950142503
9424.921.85918225317913.04081774682085
95914.6729796345423-5.67297963454225
9617.416.03985805316671.36014194683334
979.616.6504881056881-7.05048810568814
9811.316.4559666574094-5.15596665740935
9917.817.77798142964760.0220185703523795
10022.219.37289114539782.82710885460221
10121.218.70493433064962.49506566935042
10220.420.04822726171470.351772738285287
10320.117.61921138901692.48078861098311
10422.317.4058481352944.89415186470599
10525.423.13967602262982.26032397737025
1061817.93546255963830.0645374403617317
10719.325.1577361431077-5.85773614310773
10818.321.4747449898227-3.17474498982269
10917.312.94066890779594.35933109220409
11021.420.47991482378050.920085176219468
11119.719.32010444588030.379895554119744
1122831.8338368586555-3.83383685865547
11322.120.82969505657381.27030494342621
11421.320.01008238213351.28991761786651
11526.720.49150584528896.20849415471114
11616.716.31826724682560.381732753174366
11720.117.17288689612512.92711310387494
11813.914.5232871495932-0.623287149593224
11925.818.99104474995226.80895525004782
12018.113.87677540457154.22322459542847
12127.920.36148050341527.53851949658477
12225.322.41030381638562.88969618361437
12314.714.55714580715370.142854192846301
1241616.9782674361003-0.978267436100324
12513.815.4870452657237-1.68704526572372
12617.520.4375101915596-2.93751019155961
12727.221.44022435541545.75977564458459
12817.49.42005558706397.9799444129361
12920.818.97777320298241.82222679701762
13014.914.79919696769810.100803032301915
13118.118.5645996711993-0.464599671199268
13222.720.33194347623162.36805652376843
13323.624.3471793048803-0.747179304880333
13426.121.00196350342335.09803649657665
13524.416.11629858579728.28370141420284
13627.126.11632169349920.983678306500838
13721.816.78058941136815.01941058863192
13829.426.16921234215513.23078765784492
13922.418.23189410618934.16810589381072
14020.428.488603671709-8.088603671709
14124.921.33384711480583.56615288519418
14218.321.0672067930528-2.76720679305279
14323.318.7134837997414.58651620025895
1449.45.750660956752463.64933904324754
14510.39.291790476350311.00820952364969
14614.212.46862752289391.73137247710615
14719.222.8370105947116-3.63701059471163
14829.623.21487839612256.38512160387749
1495.35.97065497901681-0.670654979016813
15025.226.2176183728328-1.01761837283281
1519.48.755713151789450.644286848210549
15219.622.1666915845716-2.56669158457162
15310.14.801782863086885.29821713691312
15416.516.24639479179290.253605208207122
1552121.1238865234689-0.123886523468921
15617.311.56289139688375.73710860311627
15731.228.30650699962732.89349300037268
1581015.0998216155703-5.09982161557034
15912.511.49725122715111.00274877284889
16022.518.92858758588243.5714124141176
1619.411.7579650770766-2.35796507707663
16214.617.5179412643655-2.9179412643655
1631315.034537989247-2.03453798924697
16415.115.06065725712620.0393427428737826
16527.326.78600271803420.513997281965775
16619.218.38393546864550.816064531354535
16721.817.01530557712634.78469442287371
16820.319.03069210065141.2693078993486
16934.336.8538840379084-2.55388403790839
17016.520.0490622862441-3.54906228624408
171311.1163464919011-8.11634649190106
1720.77.63974072244449-6.93974072244449
17320.516.54830185038413.95169814961585
17416.916.43459345631730.465406543682701
17525.321.29946794545844.00053205454165
1769.910.7677005593322-0.86770055933225
17713.116.1164135491316-3.01641354913162
17829.927.87726497951872.02273502048125
17922.520.91819996656761.58180003343244
18016.923.5872809516682-6.68728095166824
18126.625.35332253668031.24667746331972
18204.04299487310511-4.04299487310511
18311.515.9155116808685-4.41551168086846
18412.117.0295610947951-4.92956109479505
18517.517.9949640789798-0.494964078979783
1868.611.4497888643528-2.84978886435281
18723.627.1253321310927-3.52533213109265
18820.421.8908310811789-1.49083108117889
18920.522.7590427634567-2.25904276345666
19024.426.1530105168034-1.75301051680343
19111.410.531864019370.86813598062996
19238.130.71880559814247.38119440185762
19315.917.5498420644491-1.64984206444909
19424.726.5539637927033-1.8539637927033
19522.817.62766634570375.17233365429633
19625.522.51146886996092.98853113003907
1972217.48207211632124.51792788367879
19817.719.8104714052382-2.1104714052382
1996.66.70491637417965-0.104916374179649
20023.618.45620116380555.1437988361945
20112.215.6839738148258-3.48397381482581
20222.115.89931960379496.20068039620507
20328.727.30159493626271.39840506373726
204614.8369093058723-8.83690930587227
20534.834.8990788282207-0.0990788282207168
20616.615.2569749943561.34302500564402
20732.922.831519649976110.0684803500239
20832.826.71481324090846.0851867590916
2099.613.5631343619174-3.96313436191745
21010.814.8494756025136-4.04947560251364
2117.112.4333666954267-5.33336669542668
21227.225.13191463049352.06808536950653
21319.515.61042447531073.88957552468933
21418.721.2363373508427-2.5363373508427
21519.514.84008546521664.65991453478336
21647.557.6573599746697-10.1573599746697
21713.611.63527004627311.96472995372692
2187.59.5822790438326-2.0822790438326
21924.523.72838988559930.77161011440069
2201517.3687173565667-2.36871735656672
22112.420.3580207930818-7.9580207930818
2222630.2669757210485-4.2669757210485
22311.517.7084286328179-6.20842863281793
2245.215.6868365103193-10.4868365103193
22510.919.4668148624532-8.56681486245325
22612.512.6883831303368-0.188383130336762
22714.818.9405825274766-4.14058252747659
22825.222.59330822975812.6066917702419
22914.917.1605329621295-2.26053296212948
2301720.3449711295063-3.34497112950626
23110.619.2845024228963-8.68450242289632
23216.120.9884924193453-4.88849241934534
23315.416.7311001175373-1.33110011753733
23426.722.90310230015263.79689769984742
23525.820.77138696553345.02861303446664
23618.621.8876400171782-3.28764001717816
23724.821.80820260959792.99179739040208
23827.333.4730902722564-6.17309027225636
23912.415.2491930772909-2.84919307729091
24029.925.57218713393944.32781286606062
2411714.89754489648252.10245510351754
2423535.7324865140208-0.732486514020806
24330.428.10289595006622.29710404993377
24432.633.3382694065437-0.738269406543713
2452928.74673437381080.253265626189185
24615.214.34473199450640.855268005493605
24730.230.9722160816427-0.772216081642711
2481114.4187203372517-3.4187203372517
24933.626.03291096477717.56708903522289
25029.335.5837217140321-6.2837217140321
2512625.00342810272730.996571897272681
25231.927.39796943720554.50203056279448


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
180.0001274279315552190.0002548558631104370.999872572068445
196.23033066595257e-061.24606613319051e-050.999993769669334
203.6191491818827e-077.23829836376539e-070.999999638085082
212.64584378661583e-085.29168757323166e-080.999999973541562
221.04108762120523e-092.08217524241046e-090.999999998958912
232.55410729395196e-105.10821458790392e-100.999999999744589
241.34262454432828e-112.68524908865656e-110.999999999986574
256.16542019451254e-131.23308403890251e-120.999999999999383
263.6189416315068e-147.2378832630136e-140.999999999999964
271.90062479680284e-153.80124959360568e-150.999999999999998
281.6608574150786e-163.3217148301572e-161
297.02343286150802e-181.4046865723016e-171
303.58705225679735e-197.17410451359469e-191
311.5349144820379e-203.0698289640758e-201
327.47823395113745e-221.49564679022749e-211
332.9940018148274e-235.98800362965481e-231
341.12594507116991e-242.25189014233983e-241
351.53813341997565e-243.07626683995131e-241
364.71465498344275e-249.42930996688549e-241
373.02398823079062e-256.04797646158124e-251
382.23714087769587e-264.47428175539173e-261
391.51219006209464e-273.02438012418929e-271
407.29428292565371e-291.45885658513074e-281
414.09844116113918e-308.19688232227835e-301
422.03178603822745e-314.0635720764549e-311
439.4942448633285e-331.8988489726657e-321
446.12928135361992e-341.22585627072398e-331
454.81878689883128e-359.63757379766255e-351
462.25756324341725e-364.5151264868345e-361
471.02845310146813e-372.05690620293627e-371
481.44739014845124e-112.89478029690248e-110.999999999985526
495.18688777677078e-121.03737755535416e-110.999999999994813
501.99926812434125e-123.9985362486825e-120.999999999998001
516.98395887967044e-131.39679177593409e-120.999999999999302
522.2958210839597e-134.59164216791941e-130.99999999999977
538.35855442808583e-141.67171088561717e-130.999999999999916
541.21342561138843e-132.42685122277686e-130.999999999999879
554.24276018302817e-148.48552036605633e-140.999999999999958
561.30172689340735e-142.6034537868147e-140.999999999999987
574.38086846731482e-158.76173693462964e-150.999999999999996
581.31146690878633e-152.62293381757267e-150.999999999999999
594.05331160845596e-168.10662321691192e-161
601.16233491732254e-162.32466983464508e-161
613.76193430149025e-177.5238686029805e-171
621.62093831707261e-173.24187663414522e-171
635.61668139042605e-181.12333627808521e-171
641.53953062651192e-183.07906125302384e-181
654.26121973401096e-198.52243946802192e-191
661.33029800610328e-192.66059601220657e-191
674.73643997363881e-209.47287994727762e-201
681.31532632158714e-202.63065264317429e-201
693.97415018378257e-217.94830036756515e-211
701.05282671919267e-212.10565343838535e-211
714.45503094031622e-228.91006188063244e-221
721.29979290611789e-222.59958581223578e-221
733.94393602579606e-237.88787205159211e-231
741.08443046529128e-232.16886093058256e-231
754.16710867027872e-248.33421734055745e-241
762.44221758086819e-214.88443516173639e-211
776.93782333448249e-221.3875646668965e-211
781.98394623496402e-223.96789246992803e-221
796.11850564689915e-231.22370112937983e-221
802.15148496617773e-234.30296993235546e-231
811.60530727631681e-233.21061455263362e-231
829.94786935371148e-241.9895738707423e-231
833.82199362203697e-247.64398724407394e-241
841.51987199307491e-243.03974398614983e-241
854.29052597315241e-258.58105194630481e-251
862.63160295689058e-255.26320591378116e-251
878.23975026899792e-261.64795005379958e-251
882.85145703923253e-265.70291407846506e-261
899.46099190632506e-271.89219838126501e-261
902.48008923736238e-274.96017847472477e-271
916.48813013335737e-281.29762602667147e-271
921.67976155329365e-283.35952310658731e-281
934.86437685525031e-299.72875371050061e-291
941.59536159391967e-293.19072318783934e-291
956.66940428718951e-301.3338808574379e-291
967.6571285284373e-131.53142570568746e-120.999999999999234
979.76178902096493e-131.95235780419299e-120.999999999999024
986.49312539768782e-131.29862507953756e-120.999999999999351
992.99796386455016e-135.99592772910032e-130.9999999999997
1001.39858430751045e-132.79716861502091e-130.99999999999986
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1031.50093100905883e-143.00186201811767e-140.999999999999985
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1096.64986689016781e-161.32997337803356e-150.999999999999999
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1111.2781181983873e-162.55623639677459e-161
1125.71391245835229e-171.14278249167046e-161
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1141.15168822139017e-172.30337644278033e-171
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1197.52520087289492e-191.50504017457898e-181
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1301.00481205791479e-212.00962411582959e-211
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1322.04213091230376e-224.08426182460752e-221
1338.10875163909767e-231.62175032781953e-221
1346.65973932583131e-231.33194786516626e-221
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1393.2535778620403e-236.50715572408059e-231
1407.2532408614429e-231.45064817228858e-221
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1448.03140500494425e-241.60628100098885e-231
1452.98220826916025e-245.96441653832051e-241
1461.35701337838469e-242.71402675676937e-241
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1481.42453018077481e-242.84906036154962e-241
1495.21816071352311e-251.04363214270462e-241
1501.97874271087842e-253.95748542175684e-251
1517.16787173565031e-261.43357434713006e-251
1524.23785577580256e-268.47571155160511e-261
1538.3269891891721e-261.66539783783442e-251
1543.24748844377395e-266.4949768875479e-261
1551.22327972285506e-262.44655944571012e-261
1568.49476442644546e-271.69895288528909e-261
1576.56497610229756e-271.31299522045951e-261
1584.1225374982279e-278.24507499645579e-271
1592.92540325885161e-275.85080651770322e-271
1603.64250610258087e-277.28501220516175e-271
1611.37565338179151e-272.75130676358302e-271
1626.36295561221492e-281.27259112244298e-271
1632.51463619074245e-285.0292723814849e-281
1648.98201729774404e-291.79640345954881e-281
1653.0814183736838e-296.16283674736759e-291
1661.44176774910502e-292.88353549821005e-291
1672.81945446616384e-295.63890893232767e-291
1689.90925082280436e-301.98185016456087e-291
1694.79050549892752e-309.58101099785503e-301
1701.6778714869524e-303.35574297390479e-301
1713.5901891216126e-307.18037824322519e-301
1722.27534354529478e-304.55068709058956e-301
1731.9102347540604e-303.8204695081208e-301
1746.11696738579295e-311.22339347715859e-301
1752.42072057764346e-314.84144115528692e-311
1769.06648796713906e-321.81329759342781e-311
1773.88197464518193e-327.76394929036387e-321
1781.49106282553954e-322.98212565107908e-321
1791.14032353107631e-322.28064706215262e-321
1805.24667591042058e-321.04933518208412e-311
1811.7105981191061e-323.4211962382122e-321
1821.56928290163152e-313.13856580326304e-311
1836.35730739132531e-321.27146147826506e-311
1849.61078816949466e-321.92215763389893e-311
1852.99398771487355e-325.9879754297471e-321
1868.76225475703964e-321.75245095140793e-311
1875.63591619315826e-321.12718323863165e-311
1882.75762536835221e-325.51525073670441e-321
1899.56538257103507e-331.91307651420701e-321
1909.06348554658617e-331.81269710931723e-321
1912.67867021545687e-335.35734043091374e-331
1922.47705278399485e-334.95410556798969e-331
1937.67747341443405e-341.53549468288681e-331
1943.06756988687329e-346.13513977374658e-341
1954.4092192866583e-348.8184385733166e-341
1962.55895894053292e-345.11791788106584e-341
1979.37584353577028e-331.87516870715406e-321
1983.70714502857103e-337.41429005714206e-331
1991.49782419466732e-332.99564838933464e-331
2001.70227905902343e-303.40455811804685e-301
2015.73162836187843e-311.14632567237569e-301
2029.37168186574223e-301.87433637314845e-291
2032.92032611276397e-285.84065222552795e-281
2041.42823105869137e-262.85646211738273e-261
2057.145001859475e-271.429000371895e-261
2063.68413035360861e-267.36826070721721e-261
2071.64088583052877e-173.28177166105755e-171
2087.2459788331065e-161.4491957666213e-150.999999999999999
2092.94793713012057e-165.89587426024114e-161
2101.25547482291419e-162.51094964582837e-161
2114.86161611603356e-179.72323223206711e-171
2123.16261553475845e-176.3252310695169e-171
2132.87732679077577e-165.75465358155154e-161
2141.09334005595711e-162.18668011191422e-161
2151.23365933601072e-152.46731867202144e-150.999999999999999
21611.88619482554936e-299.43097412774682e-30
21716.14479450106136e-283.07239725053068e-28
21811.05700206822358e-265.2850103411179e-27
21913.79687033004673e-251.89843516502337e-25
22011.28502187668747e-236.42510938343734e-24
22113.20852963292641e-221.60426481646321e-22
22218.90378275503835e-214.45189137751917e-21
22311.9278591699128e-199.639295849564e-20
22411.58349433024276e-197.9174716512138e-20
22511.66245820638847e-188.31229103194235e-19
22612.06125417771916e-171.03062708885958e-17
22719.47517956072592e-164.73758978036296e-16
2280.9999999999999784.45501937856737e-142.22750968928368e-14
2290.9999999999992591.48256133519639e-127.41280667598194e-13
2300.9999999999751734.96539519534087e-112.48269759767043e-11
2310.9999999990332061.93358799812747e-099.66793999063734e-10
2320.9999999603893987.92212042883087e-083.96106021441543e-08
2330.9999985517520972.89649580658653e-061.44824790329327e-06
2340.999983763686193.24726276203125e-051.62363138101563e-05


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level2171NOK
5% type I error level2171NOK
10% type I error level2171NOK