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{"sheet":"Live","index":0,"n_rows":17,"n_cols":9,"rows_kept":17,"cut":false,"hidden":false,"merged":[]}
[]
[null,null,null,null,null,null,null,"Pred Y = b0 + b1X1"]
[null,null,"Parameters",null,null,null,null,{"$f":"LINEST(F11:F15,C11:C15,1,1)","v":224.07010195821468},125.3397394297275]
[null,null,"beta0",100,null,null,null,62.271742154376469,282.47224819868836]
[null,null,"beta1",200,null,null,null,0.81188269518248679,406.68047712001163]
[null,null,"beta2",0,null,null,null,12.947496180163789,3]
[null,null,"SD errors",200,null,null,null,2141373.5813086485,496167.03141168092]
[null,null,"alpha",0]
[]
[null,"Intercept","X1","X2","epsilon","Y"]
[null,1,{"$f":"RAND()*10","v":6.8104701735769577},{"$f":"RAND()*100","v":58.485837151002507},{"$f":"NORMINV(RAND(),0,$D$7)*C11^alpha","v":543.98425638193237},{"$f":"$D$4+$D$5*C11+$D$6*D11+E11","v":2006.0782910973239}]
[null,1,{"$f":"RAND()*10","v":2.8933824962744259},{"$f":"RAND()*100","v":96.002720992773121},{"$f":"NORMINV(RAND(),0,$D$7)*C12^alpha","v":-294.33644068971819},{"$f":"$D$4+$D$5*C12+$D$6*D12+E12","v":384.34005856516694}]
[null,1,0.54575802106709426,81.078533520276594,{"$f":"NORMINV(RAND(),0,$D$7)*C13^alpha","v":-136.42299729793831},72.728606915480555]
[null,1,0.1909902820893139,3.2851649237812031,{"$f":"NORMINV(RAND(),0,$D$7)*C14^alpha","v":422.99226971731309},561.19032613517584]
[null,1,6.9132871698021416,25.788619658965793,{"$f":"NORMINV(RAND(),0,$D$7)*C15^alpha","v":8.1914660059359079},1490.8488999663641]
[]
[null,null,null,{"$f":"CORREL(C11:C15,D11:D15)","v":-3.8460854484480757E-2},"r"]

{"sheet":"Dead","index":1,"n_rows":25,"n_cols":17,"rows_kept":25,"cut":false,"hidden":false,"merged":[]}
["Same fill color means cells values are equal.",null,null,null,null,null,null,"OLS",null,null,"LMS Function",null,null,"OLSREG Function"]
[null,null,null,null,null,null,null,"Pred Y = b0 + b1X1",null,null,{"$f":"lms(F11:F15,C11:C15)","v":-123.05525738282445},"b0",null,{"$f":"olsreg(C10:C15,F10:F15,1,1)","v":"No. obs."},5,"SSR",52722.035455004479]
[null,null,"Parameters",null,null,null,null,{"$f":"LINEST(F11:F15,C11:C15,1,1)","v":222.51315432700119},-94.832965672660521,null,228.16441110973031,"b1",null,"No. missing obs.",0,"TSS",1923182.9926200584]
[null,null,"beta0",100,null,"estimated SE of b1",{"$f":"I5/(SQRT(5)*_xlfn.STDEV.P(C11:C15))","v":21.56834509434594},21.568345094345929,131.54270857212794,null,65.481812185391007,"MinMedSR",null,"Mean Dep Var",1116.6023824402453,"R2",0.97258605361147754]
[null,null,"beta1",200,null,"exact SE of b1",{"$f":"D7/(SQRT(5)*_xlfn.STDEV.P(C11:C15))","v":32.53953648338647},0.97258605361147765,132.56700878549987,null,null,null,null,"RMSE",132.56700878549998,"F stat.",106.43335036417905]
[null,null,"beta2",0,null,null,null,106.43335036417922,3,null,null,null,null,"Variable","Estimate","SE","RSE (HC1)"]
[null,null,"SD errors",200,null,null,null,1870460.957165054,52722.035455004399,null,null,null,null,"Intercept",-94.832965672662226,131.54270857212813,178.60792489200452]
[null,null,"alpha",0,null,null,null,null,null,null,null,null,null,"X1",222.51315432700142,21.568345094345958,22.340174638737977]
[]
[null,"Intercept","X1","X2","epsilon","Y",null,"Pred Y = b0 + b1 X1 + b2X2",null,null,null,"(Yi - avg Y)^2",null,"Pred Y = b0"]
[null,1,7.7864733306865102,11.673060740548923,{"$f":"NORMINV(RAND(),0,$D$7)*C11^alpha","v":4.3382619007480896},{"$f":"$D$4+$D$5*C11+$D$6*D11+E11","v":1661.6329280380503},null,{"$f":"LINEST(F11:F15,C11:D15,1,1)","v":1.5637445249446342},216.29932074755391,-116.12448950724274,null,{"$f":"(F11-AVERAGE($F$11:$F$15))^2","v":297058.29563464102},null,{"$f":"LINEST(F11:F15,B11:B15,0,1)","v":1116.6023824402453},0]
[null,1,3.202871671019544,10.710664227974986,{"$f":"NORMINV(RAND(),0,$D$7)*C12^alpha","v":-299.10645003910383},{"$f":"$D$4+$D$5*C12+$D$6*D12+E12","v":441.46788416480501},null,2.0074238776708291,24.474269728035168,143.73747329941804,null,{"$f":"(F12-AVERAGE($F$11:$F$15))^2","v":455806.59076163045},null,310.09538795506609,{"$error":"#N/A"}]
[null,1,5.117138776710382,6.2520286273914705,{"$f":"NORMINV(RAND(),0,$D$7)*C13^alpha","v":-87.026140473177577},1036.4016148688988,null,0.97896744599945373,142.21365993675425,{"$error":"#N/A"},null,{"$f":"(F13-AVERAGE($F$11:$F$15))^2","v":6432.1631190331336},null,0.76423454562236814,693.39436697669726]
[null,1,1.8741524578225699,55.873291534527439,{"$f":"NORMINV(RAND(),0,$D$7)*C14^alpha","v":-8.6457012296334312},466.18479033488052,null,46.545343279471773,2,{"$error":"#N/A"},null,{"$f":"(F14-AVERAGE($F$11:$F$15))^2","v":423043.04412014061},null,12.966014001326473,4]
[null,1,9.2410206535959851,91.739990723363519,{"$f":"NORMINV(RAND(),0,$D$7)*C15^alpha","v":29.120564075394679},1977.3246947945918,null,1882733.5424748447,40449.450145213566,{"$error":"#N/A"},null,{"$f":"(F15-AVERAGE($F$11:$F$15))^2","v":740842.89898461325},null,6234004.402356158,1923182.9926200591]
[]
[null,null,null,{"$f":"CORREL(C11:C15,D11:D15)","v":0.32592911632259391},"r",null,null,null,null,null,null,{"$f":"SUM(L11:L15)","v":1923182.9926200584}]
[null,null,null,{"$f":"D17^2","v":0.10622978886682695},"r^2",null,null,{"$f":"_xlfn.F.DIST.RT(H14,2,2)","v":2.1032554000546273E-2},"Whole Model F P-value"]
[null,null,null,null,null,null,null,{"$f":"IF(H18<0.05,1,0)","v":1},"Reject at 5% level"]
[null,null,"Pred X1 = b0 + b1X2"]
[null,null,{"$f":"LINEST(C11:C15,D11:D15,1,1)","v":2.6733295734853144E-2},4.5019878582744903,null,null,null,"Y on X1 and X2 Exact SEs",null,null,null,null,null,null,null,"Whole-model F stat"]
[null,null,4.4769439185543131E-2,2.1774814325795533,null,null,null,{"$f":"D7/(SQRT(5)*_xlfn.STDEV.P(C11:C15)*SQRT(1-C23))","v":34.419013952554849},"Exact SE of b1",null,null,null,null,null,null,{"$f":"(O15-I15)/2","v":941366.77123742271},"F stat numerator"]
[null,null,0.10622978886682666,3.3548332906077944,null,null,null,{"$f":"D7/(SQRT(5)*_xlfn.STDEV.P(D11:D15)*SQRT(1-C23))","v":2.8231097892615624},"Exact SE of b2",null,null,null,null,null,null,{"$f":"I15/I14","v":20224.725072606783},"F stat denominator"]
[null,null,0.35656745171270282,3,null,null,null,null,null,null,null,null,null,null,null,{"$f":"P22/P23","v":46.545343279471787},"F stat"]
[null,null,4.013133297083634,33.764719223310969,null,null,null,null,null,null,null,null,null,null,null,{"$f":"_xlfn.F.DIST.RT(P24,2,2)","v":2.1032554000546273E-2},"Whole Model F P Value"]

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["Sample Number","$H$3",null,null,null,"Simulation Stats",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,80,0]
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[2,250.4534171606189,null,null,null,8.9999995892867446,"seconds",null,"Summary Statistics",null,null,"Notes",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0.25806450843811035,3,null,85,2]
[3,124.91368227982979,null,null,null,null,null,null,"Average",199.95878609786337,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0.38709676265716553,4,null,85,0]
[4,149.5141300878316,null,null,null,null,null,null,"SD",32.547659987589668,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0.5161290168762207,8,null,90,0]
[5,204.28278979427122,null,null,null,null,null,null,"Max",313.75293306917109,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0.64516127109527588,4,null,90,7]
[6,160.07927672408189,null,null,null,null,null,null,"Min",81.21772312274409,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0.77419352531433105,9,null,95,7]
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["Only the first 100 repetitions are displayed on this worksheet."]

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["Only the first 100 repetitions are displayed on this worksheet."]