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{"sheet":"Cubic spline","index":7,"n_rows":156,"n_cols":9,"rows_kept":156,"cut":false,"hidden":false,"merged":[]}
[null,"XLSTAT 2018.1.12345 - Cubic spline - Start time: 12/03/2018 at 13:13:43 / End time: 12/03/2018 at 13:13:44 / Microsoft Excel 16.09029"]
[null,"X: Workbook = TutoSPE_us (1).xls / Sheet = data / Range = 'data'!$A:$A / 50 rows and 1 column"]
[null,"Y: Workbook = TutoSPE_us (1).xls / Sheet = data / Range = 'data'!$B:$B / 50 rows and 1 column"]
[null,"Prediction / Explanatory variables: Workbook = TutoSPE_us (1).xls / Sheet = data / Range = data!$A$8:$A$16 / 9 rows and 1 column"]
[null,"Number of nodes: 50"]
[]
[]
[]
[]
[null,"Summary statistics:"]
[]
[null,"Variable","Observations","Obs. with missing data","Obs. without missing data","Minimum","Maximum","Mean","Std. deviation"]
[null,"speed",50,0,50,4,25,15.4,5.2876444352347844]
[null,"distance",50,0,50,2,120,42.98,25.769377492025892]
[]
[]
[null,"Correlation matrix:"]
[]
[null,"Variables","speed","distance"]
[null,"speed",1,0.80689490068921044]
[null,"distance",0.80689490068921044,1]
[]
[]
[null,"Cubic spline coefficients:"]
[]
[null,"Spline intervals","t^3","t^2","t","Intercept"]
[null,"[4;7]",0.7458319226483584,0,-6.0458206371685588,2]
[null,"[7;8]",-8.8041285781723442,6.7124873038352257,14.091641274337118,4]
[null,"[8;9]",12.595668283191266,-19.699898430681806,1.10423014749054,16]
[null,"[9;10]",-9.5785445545927193,18.087106418891992,-0.50856186429927241,10]
[null,"[10;11]",2.7185099351796089,-10.648527244886164,6.9300173097065558,18]
[null,"[11;12]",5.7045048138742827,-2.4929974393473371,-6.2115073745269456,17]
[null,"[12;13]",-8.53652919067674,14.620517002275511,5.9160121884012291,14]
[null,"[13;14]",1.4416119488326806,-10.989070569754709,9.5474586209220291,26]
[null,"[14;15]",8.7700813953460166,-6.6642347232566674,-8.1058466720893492,26]
[null,"[15;16]",-12.521937530216746,19.646009462781382,4.8759280674353649,20]
[null,"[16;17]",11.317668725520974,-17.91980312786886,6.602134402347887,32]
[null,"[17;18]",-10.748737371867142,16.033203048694059,4.7155343231730837,32]
[null,"[18;19]",5.6772807619475962,-16.213009066907368,4.5357283049597719,42]
[null,"[19;20]",6.0396143240767559,0.81883321893542038,-10.858447543012176,36]
[null,"[20;22]",-7.4433535623550773,18.937676191165689,8.8980618670889289,32]
[null,"[22;23]",18.393921299474016,-25.722445182964773,-4.6714761165092424,66]
[null,"[23;24]",-12.524716131440529,29.459318715457272,-0.93460258401674068,54]
[null,"[24;25]",2.7049432262881061,-8.1148296788643179,20.409886452576213,70]
[]
[]
[null,"Due to duplicates, the number of nodes has been reduced from 50 to 19"]
[]
[]
[null,"Spline curve:"]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[null,null,null,null,null,null," "]
[]
[]
[null,"Predictions and residuals:"]
[]
[null,"Individual","speed","distance","Pred(distance)","Residuals","Std. residual"]
[null,"Obs1",4,2,2,0,-0.8706358064626657]
[null,"Obs2",4,10,2,8,-0.30711748512760695]
[null,"Obs3",7,4,4,0,-0.8706358064626657]
[null,"Obs4",7,22,4,18,0.39728041654121643]
[null,"Obs5",8,16,16,0,-0.8706358064626657]
[null,"Obs6",9,10,10,0,-0.8706358064626657]
[null,"Obs7",10,18,18,0,-0.8706358064626657]
[null,"Obs8",10,26,18,8,-0.30711748512760695]
[null,"Obs9",10,34,18,16,0.25640083620745174]
[null,"Obs10",11,17,17,0,-0.8706358064626657]
[null,"Obs11",11,28,17,11,-9.5798114626959946E-2]
[null,"Obs12",12,14,14,0,-0.8706358064626657]
[null,"Obs13",12,20,14,6,-0.44799706546137164]
[null,"Obs14",12,24,14,10,-0.16623790479384229]
[null,"Obs15",12,28,14,14,0.11552125587368707]
[null,"Obs16",13,26,26,0,-0.8706358064626657]
[null,"Obs17",13,34,26,8,-0.30711748512760695]
[null,"Obs18",13,34,26,8,-0.30711748512760695]
[null,"Obs19",13,46,26,20,0.53815999687498106]
[null,"Obs20",14,26,26,0,-0.8706358064626657]
[null,"Obs21",14,36,26,10,-0.16623790479384229]
[null,"Obs22",14,60,26,34,1.5243170592113338]
[null,"Obs23",14,80,26,54,2.9331128625489806]
[null,"Obs24",15,20,20,0,-0.8706358064626657]
[null,"Obs25",15,26,20,6,-0.44799706546137164]
[null,"Obs26",15,54,20,34,1.5243170592113338]
[null,"Obs27",16,32,32,0,-0.8706358064626657]
[null,"Obs28",16,40,32,8,-0.30711748512760695]
[null,"Obs29",17,32,32,0,-0.8706358064626657]
[null,"Obs30",17,40,32,8,-0.30711748512760695]
[null,"Obs31",17,50,32,18,0.39728041654121643]
[null,"Obs32",18,42,42,0,-0.8706358064626657]
[null,"Obs33",18,56,42,14,0.11552125587368707]
[null,"Obs34",18,76,42,34,1.5243170592113338]
[null,"Obs35",18,84,42,42,2.0878353805463927]
[null,"Obs36",19,36,36,0,-0.8706358064626657]
[null,"Obs37",19,46,36,10,-0.16623790479384229]
[null,"Obs38",19,68,36,32,1.3834374788775692]
[null,"Obs39",20,32,32,0,-0.8706358064626657]
[null,"Obs40",20,48,32,16,0.25640083620745174]
[null,"Obs41",20,52,32,20,0.53815999687498106]
[null,"Obs42",20,56,32,24,0.81991915754251044]
[null,"Obs43",20,64,32,32,1.3834374788775692]
[null,"Obs44",22,66,66,0,-0.8706358064626657]
[null,"Obs45",23,54,54,0,-0.8706358064626657]
[null,"Obs46",24,70,70,0,-0.8706358064626657]
[null,"Obs47",24,92,70,22,0.67903957720874575]
[null,"Obs48",24,93,70,23,0.74947936737562815]
[null,"Obs49",24,120,70,50,2.6513537018814515]
[null,"Obs50",25,85,85,0,-0.8706358064626657]
[]
[]
[null,"Predictions for the new observations:"]
[]
[null,"Individual","speed","Pred(distance)"]
[null,"PredObs1",10,18]
[null,"PredObs2",10,18]
[null,"PredObs3",10,18]
[null,"PredObs4",11,17]
[null,"PredObs5",11,17]
[null,"PredObs6",12,14]
[null,"PredObs7",12,14]
[null,"PredObs8",12,14]
[null,"PredObs9",12,14]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
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[null,null,null,null,null,null," "]