Bendrix Regression and Partial Slope

Sheet1SUMMARY OUTPUTRegression StatisticsMultiple R0.9308195424R Square0.8664250206Adjusted R Square0.8583295673Standard Error4108.9930901692Observations36ANOVAdfSSMSFSignificance FRegression23614020660.903091807010330.45155107.02612793370Residual33557166199.0969116883824.2150579Total354171186860CoefficientsStandard Errort StatP-valueLower 95%Upper 95%Lower 95.0%Upper 95.0%Intercept3996.67820853916603.65093231150.60522251240.5491709486-9438.550632264217431.9070493423-9438.550632264217431.9070493423MachHrs(M)43.53639811573.589483699612.1288747238036.233538618950.839257612536.233538618950.8392576125ProdRuns(P)883.617925244482.251407530310.74289123770716.27617838731050.9596721016716.27617838731050.9596721016RESIDUAL OUTPUTObservationPredicted Overhead(Y)Residuals198391.35059121721406.6494087829285522.33322121842281.6667787816392723.5953825689957.4046174311482428.092010724-166.0920107245100227.9027656826740.09723431846107869.39541751555.60458248477114933.4723101452353.5276898553875117.13407156011750.86592843999104910.3677248761090.63227512411088553.8341821113184.165817888711107350.115584405-1520.11558440461296596.6252498205-7866.625249820513105066.756845083-4442.7568450831499463.4514510843-606.451451084315101603.3110331291018.688966871216112800.188802474-4741.188802474217111055.575933567-1001.57593356721890940.0504390541951.94956094591996712.63491618971980.365083810320107725.8962602382804.10373976182197610.8523694121-727.85236941212295313.15628793064279.84371206942397794.7309805269-3230.730980526924102930.3163931342821.68360686552592070.54941083311153.45058916692682713.3807602301-7315.380760230127117634.17637255-4497.17637254962896150.0808707813-10541.080870781329101277.642829785-2779.64282978493098155.91212838263647.08787161743184741.83499941333629.16500058673295609.88762113676809.112378863333113279.0891817473903.910818252934109936.519545488-2108.51954548833592022.1465033914-3990.146503391436112227.6395525965715.3604474043

Sheet1153912841490135515001777171610451364151616231376132711781491166717691104119617941379144815051420147511181433158915851493112415361678172314131390

MachHrs(M)ResidualsMachHrs(M) Residual Plot

Bendrix data312927223530412947213737495037413444462938323242273458263233362841353054

ProdRuns(P)ResidualsProdRuns(P) Residual Plot

scatterplot1MonthMachHrs(M)ProdRuns(P)Overhead(Y)11539319979821284298780431490279368141355228226251500351069686177730107925717164111728781045297686891364471060011015162188738111623371058301213763788730131327491006241411785098857151491371026221616674110805917176934110054181104449189219119646986932017942911053021137938968832214483299593231505329456424142042105752251475279322426111834753982714335811313728158926856092915853298498301493331018033111243688371321536281024193316784111718334172335107828351413308803236139054117943

Scatterplot299798878049368182262106968107925117287768681060018873810583088730100624988571026221080591100549189298693110530968839959394564105752932247539811313785609984981018038837110241911718310782888032117943

MachHrsOverheadMach hrs Vs. Overhead

Scatterplot399798878049368182262106968107925117287768681060018873810583088730100624988571026221080591100549189298693110530968839959394564105752932247539811313785609984981018038837110241911718310782888032117943

ProdRunsOverheadProdRuns Vs. Overhead

Mach Hrs312927223530412947213737495037413444462938323242273458263233362841353054

ProdRuns(P)MachHrsProdRunsMachHrs Vs. ProdRuns

Prod RunsSUMMARY OUTPUTRegression StatisticsMultiple R0.6318845251R Square0.399278053Adjusted R Square0.3816097605Standard Error8584.7393527503Observations36ANOVAdfSSMSFSignificance FRegression11665463368.34161665463368.341622.59856473080.0000357424Residual342505723491.658473697749.754659Total354171186860CoefficientsStandard Errort StatP-valueLower 95%Upper 95%Intercept48621.35463393310725.33269581744.53331901330.000068602226824.87047672470417.838791142Mach Hrs34.70223642087.29990209674.75379477160.000035742419.867060215749.5374126259RESIDUAL OUTPUTObservationPredicted YResidualsStandard Residuals1102028.096485546-2230.0964855464-0.2635670424293179.0261982421-5375.0261982421-0.6352549173100327.686900927-6646.6869009272-0.7855478987495642.884984119-13380.884984119-1.58143842775100674.7092651356293.29073486480.74378128336110287.228753697-2362.2287536972-0.27918327757108170.3923320289116.60766797171.077458906884885.1916936705-8017.1916936705-0.9475229061995955.205111906210045.79488809381.187276184810101229.945047868-12491.945047868-1.476377829911104943.084344894886.91565510620.10482135531296371.6319489558-7641.6319489558-0.90313685741394671.22236433655952.77763566350.70353727091489500.58913763719356.41086236291.105800378715100362.3891373482259.6108626520.267055239916106469.9827474091589.0172525910.187800205217110009.61086233144.38913766920.00524619171886932.62364249784959.37635750220.58613076481990125.22939321158567.77060678851.012593837620110877.166772851-347.1667728508-0.0410303862196475.7386582182407.26134178180.04813274582298870.1929712535722.80702874650.0854259523100848.220447239-6284.2204472392-0.74270929882497898.53035147117853.46964852890.92817318942599807.1533546151-6583.1533546151-0.77803909852687418.454952389-12020.454952389-1.42065411992798349.659424941514787.34057505851.7476623328103763.208306587-18154.2083065865-2.145580256829103624.399360903-5126.3993609033-0.605870609830100431.793610191371.20638981040.16205792663187626.6683709138744.33162908620.087969864732101923.989776284495.0102237160.05850346933106851.70734803810331.29265196221.221018133534108413.307986974-585.3079869739-0.06917543523597655.6146965254-9623.6146965254-1.1373802343696857.46325884721085.5367411532.4920233684

Prod Runs153912841490135515001777171610451364151616231376132711781491166717691104119617941379144815051420147511181433158915851493112415361678172314131390

X Variable 1ResidualsX Variable 1 Residual Plot

Both99798153987804128493681149082262135510696815001079251777117287171676868104510600113648873815161058301623887301376100624132798857117810262214911080591667110054176991892110498693119611053017949688313799959314489456415051057521420932241475753981118113137143385609158998498158510180314938837111241024191536117183167810782817238803214131179431390

YPredicted YX Variable 1YX Variable 1 Line Fit Plot

Partial PlotsSUMMARY OUTPUTRegression StatisticsMultiple R0.52054R Square0.27097Adjusted R Square0.24952Standard Error9457.23946Observations36.00000ANOVAdfSSMSFSignificance FRegression11130247999.261761130247999.2617612.63702880420.0011354842Residual343040938860.7382489439378.2570071Total354171186860CoefficientsStandard Errort StatP-valueLower 95%Upper 95%Intercept75605.51571398436808.61062879711.1043970402061768.763240930389442.2681870383Prod Runs655.0706601983184.27467785873.55485988530.0011354842280.5797040261029.5616163706RESIDUAL OUTPUTObservationPredicted YResidualsStandard Residuals195912.70618013083885.29381986920.4168252748294602.5648597342-6798.5648597342-0.7293692054393292.4235393377388.57646066230.0416875782490017.0702383463-7755.0702383463-0.8319857991598532.98882092388435.01117907620.9049317801695257.635519932512667.36448006751.35899057467102463.41278211314823.58721788651.5903162289894602.5648597342-17734.5648597342-1.90261411739106393.836743303-392.8367433031-0.04214463331089361.999578148-623.999578148-0.0669444341199843.13014132045986.86985867960.64228827721299843.1301413204-11113.1301413204-1.192247932813107703.9780637-7079.9780636997-0.759560007314108359.048723898-9502.0487238979-1.01940657631599843.13014132042778.86985867960.298124992916102463.4127821135595.58721788650.60031037241797877.918160725612176.08183927441.306284387818104428.624762708-12536.6247627083-1.344964449119105738.766083105-7045.7660831049-0.75588964952094602.564859734215927.43514026581.708740146121100498.200801519-3615.2008015187-0.38784893432296567.7768403293025.2231596710.32455446962396567.776840329-2003.776840329-0.214970828724103118.4834423122633.51655768820.2825310812593292.4235393377-68.4235393377-0.00734067022697877.9181607256-22479.9181607256-2.41170899827113599.614005484-462.6140054841-0.04963053482892637.3528791394-7028.3528791394-0.75402151192996567.7768403291930.2231596710.20707978253097222.84750052734580.15249947270.4913716733199188.0594811221-10817.0594811221-1.16048463773293947.49419953598471.50580046410.90884702633102463.41278211314719.58721788651.57915881573498532.98882092389295.01117907620.99719500473595257.6355199325-7225.6355199325-0.775186549836110979.3313646916963.6686353090.7470820039

Partial Plots312927223530412947213737495037413444462938323242273458263233362841353054


Partial Slopes99798318780429936812782262221069683510792530117287417686829106001478873821105830378873037100624499885750102622371080594111005434918924498693461105302996883389959332945643210575242932242775398341131375885609269849832101803338837136102419281171834110782835880323011794354

YPredicted YX Variable 1YX Variable 1 Line Fit Plot

reg residuals Y and PSUMMARY OUTPUTRegression StatisticsMultiple R0.9308R Square0.8664Adjusted R Square0.8583Standard Error4108.9931Observations36ANOVAdfSSMSFSignificance FRegression23614020660.903091807010330.45155107.02612793370Residual33557166199.09690916883824.2150579Total354171186860CoefficientsStandard Errort StatP-valueLower 95%Upper 95%Intercept3996.67820853886603.65093231140.60522251240.5491709487-9438.561284277917431.9177013556Mach Hrs43.53639811573.589483699612.1288747238036.233532828950.8392634025Prod Runs883.617925244482.251407530310.74289123770716.27604571171050.9598047771RESIDUAL OUTPUTObservationPredicted YResidualsStandard ResidualsObserved Y198391.35059121711406.64940878290.35255551229979898391.35059121711406.6494087829285522.33322121832281.66677878170.5718654528780485522.33322121832281.6667787817392723.5953825689957.40461743110.23995906399368192723.5953825689957.4046174311482428.0920107239-166.0920107239-0.04162846378226282428.0920107239-166.09201072395100227.9027656826740.09723431851.6893039717106968100227.9027656826740.09723431856107869.39541751555.60458248470.0139364521107925107869.39541751555.60458248477114933.4723101452353.52768985530.5898763083117287114933.4723101452353.5276898553875117.134071561750.865928440.43882820447686875117.134071561750.865928449104910.3677248761090.6322751240.273350572106001104910.3677248761090.6322751241088553.8341821112184.16581788880.04615839168873888553.8341821112184.165817888811107350.115584405-1520.1155844046-0.3809941021105830107350.115584405-1520.11558440461296596.6252498205-7866.6252498205-1.97165127098873096596.6252498205-7866.625249820513105066.756845083-4442.756845083-1.113510165100624105066.756845083-4442.7568450831499463.4514510844-606.4514510844-0.15199793269885799463.4514510844-606.451451084415101603.3110331291018.68896687110.2553190641102622101603.3110331291018.688966871116112800.188802474-4741.1888024742-1.1883076454108059112800.188802474-4741.188802474217111055.575933567-1001.5759335672-0.2510299397110054111055.575933567-1001.57593356721890940.0504390541951.94956094590.2385918369189290940.0504390541951.94956094591996712.63491618971980.36508381030.4963487159869396712.63491618971980.365083810320107725.8962602382804.10373976180.7028064166110530107725.8962602382804.10373976182197610.8523694121-727.8523694121-0.18242524649688397610.8523694121-727.85236941212295313.15628793064279.84371206941.07267843919959395313.15628793064279.84371206942397794.7309805269-3230.7309805269-0.80973411629456497794.7309805269-3230.730980526924102930.3163931342821.68360686550.7072125458105752102930.3163931342821.68360686552592070.5494108331153.4505891670.28909503739322492070.5494108331153.4505891672682713.3807602301-7315.3807602301-1.83349013277539882713.3807602301-7315.380760230127117634.17637255-4497.1763725497-1.1271496009113137117634.17637255-4497.17637254972896150.0808707813-10541.0808707813-2.6419633378560996150.0808707813-10541.080870781329101277.642829785-2779.6428297849-0.696675657598498101277.642829785-2779.64282978493098155.91212838263647.08787161740.914087707110180398155.91212838263647.08787161743184741.83499941333629.16500058670.90959560918837184741.83499941333629.16500058673295609.88762113676809.11237886331.706601579410241995609.88762113676809.112378863333113279.0891817473903.91081825280.978456515117183113279.0891817473903.910818252834109936.519545488-2108.5195454883-0.5284687029107828109936.519545488-2108.51954548833592022.1465033913-3990.1465033913-1.00007019218803292022.1465033913-3990.146503391336112227.6395525965715.36044740421.4324691125117943112227.6395525965715.3604474042

reg residuals Y and P

Observed YFitted YFitted Vs. Observed Y

Reg Prod and M

Observed YResidualsResiduals Vs. Y

Reg MH and P

Reg MH and P1406.64940878292281.6667787817957.4046174311-166.09201072396740.097234318555.60458248472353.52768985531750.865928441090.632275124184.1658178888-1520.1155844046-7866.6252498205-4442.756845083-606.45145108441018.6889668711-4741.1888024742-1001.5759335672951.94956094591980.36508381032804.1037397618-727.85236941214279.8437120694-3230.73098052692821.68360686551153.450589167-7315.3807602301-4497.1763725497-10541.0808707813-2779.64282978493647.08787161743629.16500058676809.11237886333903.9108182528-2108.5195454883-3990.14650339135715.3604474042


1406.64940878292281.6667787817957.4046174311-166.09201072396740.097234318555.60458248472353.52768985531750.865928441090.632275124184.1658178888-1520.1155844046-7866.6252498205-4442.756845083-606.45145108441018.6889668711-4741.1888024742-1001.5759335672951.94956094591980.36508381032804.1037397618-727.85236941214279.8437120694-3230.73098052692821.68360686551153.450589167-7315.3807602301-4497.1763725497-10541.0808707813-2779.64282978493647.08787161743629.16500058676809.11237886333903.9108182528-2108.5195454883-3990.14650339135715.3604474042


MonthMachHrs(M)ProdRuns(P)Overhead(Y)Yhat w/ MRes YPhat w/ MRes PRes MR2(Y,MP)115393199798102028.096485546-2230.096485546435.1157448151-4.115744815156.93269352460.866425020621284298780493179.0261982421-5375.026198242137.6651625757-8.6651625757-208.566441679314902793681100327.686900927-6646.686900927235.6056329338-8.6056329338-13.0655768825Part Corr(Y,P)SquaredR2(Y,M)Sum41355228226295642.884984119-13380.88498411936.9553246894-14.9553246894-174.31341489140.68348150490.46714696750.3992780530.86642502065150035106968100674.7092651356293.290734864835.5056557667-0.505655766738.93096393176177730107925110287.228753697-2362.228753697232.7362882385-2.7362882385289.6831259228Partial Corr(Y,P)7171641117287108170.3923320289116.607667971733.34614895777.6538510423286.42836954230.88184045310.777642584781045297686884885.1916936705-8017.191693670540.0546168689-11.0546168689-447.566441679913644710600195955.205111906210045.794888093836.86534523910.134654761-34.07422484710.77764258471015162188738101229.945047868-12491.94504786835.3456922994-14.3456922994-18.562982493111162337105830104943.084344894886.915655106234.27593661162.7240633884172.4300991352121376378873096371.6319489558-7641.631948955836.74537263850.2546273615-74.56990086481313274910062494671.22236433655952.777635663537.235260757211.7647392428-60.5750896435141178509885789500.58913763719356.410862362938.724920546711.2750794533-204.325522041815149137102622100362.3891373482259.61086265235.59563521711.404364782940.430099135216166741108059106469.9827474091589.01725259133.83603707647.1639629236237.428369542317176934110054110009.61086233144.389137669232.81626997221.1837300278302.6813963299181104449189286932.62364249784959.376357502239.46475158324.5352484168-309.8229276524191196469869390125.22939321158567.770606788538.5449616467.455038354-207.323792448920179429110530110877.166772851-347.166772850832.5663270545-3.5663270545301.433558321211379389688396475.7386582182407.261341781836.71537948841.2846205116-66.320333263221448329959398870.1929712535722.807028746536.0255370355-4.0255370355-28.81773887372315053294564100848.220447239-6284.220447239235.4556671832-3.455667183228.18226112632414204210575297898.53035147117853.469648528936.30547310345.6945268966-4.3220628559251475279322499807.1533546151-6583.153354615135.7555986844-8.7555986844-28.0655768825261118347539887418.454952389-12020.45495238939.3247835492-5.3247835492-348.31860367012714335811313798349.659424941514787.340575058536.175502786121.824497213992.67101877242815892685609103763.208306587-18154.208306586534.6158589797-8.615858979780.68485551572915853298498103624.399360903-5126.399360903334.6558498465-2.6558498465108.182261126330149333101803100431.793610191371.206389810435.5756397837-2.575639783721.4318287281311124368837187626.6683709138744.331629086239.264797249-3.264797249-331.819468466632153628102419101923.989776284495.01022371635.1457379652-7.145737965238.183990719333167841117183106851.70734803810331.292651962233.72606219267.2739378074248.428369542334172335107828108413.307986974-585.307986973933.27616494081.7238350592261.9309639317351413308803297655.6146965254-9623.614696525436.3754571203-6.3754571203-74.31687407723613905411794396857.46325884721085.53674115336.605404604617.394595395428.6727483653

SUMMARY OUTPUTRegression StatisticsMultiple R0.8818404531R Square0.7776425847Adjusted R Square0.7711026607Standard Error4048.1157530275Observations36ANOVAdfSSMSFSignificance FRegression11948557292.56151948557292.5615118.90697614910Residual34557166199.09690916387241.1499091Total352505723491.6584CoefficientsStandard Errort StatP-valueLower 95%Upper 95%Intercept-0674.6859588379-01-1371.12593426931371.1259342693Res P883.617925244481.032800792210.90444753980718.93956898521048.2962815037

SUMMARY OUTPUTRegression StatisticsMultiple R0.22909319R Square0.0524836897Adjusted R Square0.024615563Standard Error8.5674704237Observations36ANOVAdfSSMSFSignificance FRegression1138.2362072101138.23620721011.88328731780.178947317Residual342495.652681678873.4015494611Total352633.8888888889CoefficientsStandard Errort StatP-valueLower 95%Upper 95%Lower 95.0%Upper 95.0%Intercept50.502230829110.70375778234.71817765840.000039724528.749592142672.254869515528.749592142672.2548695155MachHrs(M)-0.00999771670.0072852177-1.3723291580.178947317-0.02480305070.0048076173-0.02480305070.0048076173

SUMMARY OUTPUTRegression StatisticsMultiple R0.22909319R Square0.0524836897Adjusted R Square0.024615563Standard Error196.3197385192Observations36ANOVAdfSSMSFSignificance FRegression172584.604659120172584.60465912011.88328731780.1789473171Residual341310408.9508964438541.4397322481Total351382993.55555556CoefficientsStandard Errort StatP-valueLower 95%Upper 95%Lower 95.0%Upper 95.0%Intercept1644.8039021304141.337719487811.63740230201357.57109774171932.0367065191357.57109774171932.036706519ProdRuns(P)-5.24956760183.8252977219-1.3723291580.1789473171-13.02350789372.5243726901-13.02350789372.5243726901RESIDUAL OUTPUTObservationPredicted MachHrs(M)Residuals11482.067306475456.932693524621492.566441679-208.56644167931503.0655768825-13.065576882541529.3134148914-174.313414891451461.069036068338.930963931761487.3168740772289.683125922871429.5716304577286.428369542381492.566441679-447.56644167991398.0742248471-34.0742248471101534.5629824932-18.5629824931111450.5699008648172.4300991352121450.5699008648-74.5699008648131387.5750896435-60.5750896435141382.3255220418-204.3255220418151450.569900864840.4300991352161429.5716304577237.4283695423171466.3186036701302.6813963299181413.8229276524-309.8229276524191403.3237924489-207.3237924489201492.566441679301.433558321211445.320333263-66.320333263221476.8177388737-28.8177388737231476.817738873728.1822611263241424.3220628559-4.3220628559251503.0655768825-28.0655768825261466.3186036701-348.3186036701271340.328981227692.6710187724281508.315144484380.6848555157291476.8177388737108.1822611263301471.568171271921.4318287281311455.8194684666-331.8194684666321497.816009280738.1839907193331429.5716304577248.4283695423341461.0690360683261.9309639317351487.3168740772-74.3168740772361361.327251634728.6727483653

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Bendrix Regression and Partial Slope