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{"sheet":"Main","index":0,"n_rows":20,"n_cols":17,"rows_kept":20,"cut":false,"hidden":false,"merged":[]}
[null,null,null,null,null,null,null,"log (V) = log (K) + b* log(R)",null,null,"Expected b ","var( R) ","Cov(R,D)"]
[null,null,null,null,null,null,null,"b = ",{"$f":"IF(Regression!B3=0,0,Regression!V2)","v":0.25579705621584159},null,{"$f":"1/3+1/3*(M2)/L2","v":0.25579705621583976},{"$f":"_xlfn.VAR.S(Regression!H10:H1000)","v":0.36287645789226475},{"$f":"_xlfn.COVARIANCE.S(Regression!H10:H1000,Regression!G10:G1000)","v":-8.4408268795647348E-2}]
[null,null,null,null,null,null,null,"log (K)=",{"$f":"IF(Regression!B3=0,0,Regression!V3)","v":0.22756551944839121}]
[null,null,null,null,null,null,null,"R^2",{"$f":"IF(Regression!B3=0,0,Regression!V4)","v":0.37652056375851423}]
[]
[null,null,null,null,null,null,null,"log (V) = a * log(D) + b* log (R)"]
[null,null,null,null,null,null,null,"where D= |dX*d2Y-d2X*dY|"]
[null,null,null,null,null,null,null,"b = ",{"$f":"IF(Regression!B3=0,0,Regression!V8)","v":0.33333333333333354}]
[null,null,null,null,null,null,null,"a=",{"$f":"IF(Regression!B3=0,0,Regression!V9)","v":0.33333333333333304}]
[null,null,null,null,null,null,null,"R^2",{"$f":"IF(Regression!B3=0,0,Regression!V10)","v":1}]
[]
[null,null,null,null,null,null,null,"log (A) = log (K)+ b* log(C)",null,null,"Expected b ","var( C) ","Cov(C,D)"]
[null,null,null,null,null,null,null,"b = ",{"$f":"IF(Regression!B3=0,0,Regression!V13)","v":0.7442029437841563},null,{"$f":"2/3+1/3*(M13)/L13","v":0.74420294378416019},{"$f":"_xlfn.VAR.S(Regression!M10:M1000)","v":0.36287645789226475},{"$f":"_xlfn.COVARIANCE.S(Regression!M10:M1000,Regression!L10:L1000)","v":8.4408268795647348E-2},null,null,null," "]
[null,null,null,null,null,null,null,"log (K)=",{"$f":"IF(Regression!B3=0,0,Regression!V14)","v":0.22756551944838921}]
[null,null,null,null,null,null,null,"R^2",{"$f":"IF(Regression!B3=0,0,Regression!V15)","v":0.83637716346631974}]
[]
[null,null,null,null,null,null,null,"log (A) = a * log(D) + b* log (C)"]
[null,null,null,null,null,null,null,"b = ",{"$f":"IF(Regression!B3=0,0,Regression!V18)","v":0.66666666666666718}]
[null,null,null,null,null,null,null,"a=",{"$f":"IF(Regression!B3=0,0,Regression!V19)","v":0.33333333333333276}]
[null,null,null,null,null,null,null,"R^2",{"$f":"IF(Regression!B3=0,0,Regression!V20)","v":1}]

{"sheet":"Regression","index":1,"n_rows":1003,"n_cols":28,"rows_kept":1003,"cut":false,"hidden":false,"merged":[]}
[1,"Input Variable",null,null," "," ",null,null,null,null,null,null,null,null,null,null,null,null,null,null,"log (V) = log (K) + b* log(R)"]
["Time","qi.x","qi.y","R","V","D= |dX*d2Y-d2X*dY|","log D","log R","log V","C","A","log D","log C","log A","X.dot","Y.dot","X.2dot","Y.2dot",null,null,"b = ",{"$f":"U23","v":0.25579705621584159},null,null,{"$f":"C2","v":"qi.y"},{"$f":"B2","v":"qi.x"},"ox","oy"]
[0,538.34472101387678,-12.489023538229361,null,null,null,null," "," ",null,null,null,null,null,null,null,null,null,null,null,"log (K)=",{"$f":"V23","v":0.22756551944839121},null,null,{"$f":"IF($A$1=0,0,C3)","v":-12.489023538229361},{"$f":"IF($A$1=0,0,B3)","v":538.34472101387678},{"$f":"IF($A$1=0,0,B3)","v":538.34472101387678},{"$f":"IF($A$1=0,0,C3)","v":-12.489023538229361}]
[8.3000000000000001E-3,545.15639331653074,-11.978098545687743,null,null,null,null," "," ",null,null,null,null,null,{"$f":"(B4-B3)","v":6.8116723026539603},{"$f":" (C4-C3)","v":0.51092499254161794},null,null,null,null,"R^2",{"$f":"U25","v":0.37652056375851423},null,null,{"$f":"IF($A$1=0,0,C4)","v":-11.978098545687743},{"$f":"IF($A$1=0,0,B4)","v":545.15639331653074},{"$f":"IF($A$1=0,0,B4)","v":545.15639331653074},{"$f":"IF($A$1=0,0,C4)","v":-11.978098545687743}]
[1.67E-2,546.82239802698518,-11.978132856768019,{"$f":"((O5^2+P5^2)^(3/2))/F5","v":5.4309533787656177},{"$f":"SQRT(O5^2+P5^2)","v":1.66600471080776},{"$f":"ABS(O5*R5-Q5*P5)","v":0.85143716009842507},{"$f":"LOG10(F5)","v":-6.9847399409627753E-2},{"$f":"LOG10(D5)","v":0.73487607467041494},{"$f":"LOG10(E5)","v":0.22167622508692905},{"$f":"1/D5","v":0.18412973381614381},{"$f":"E5/D5","v":0.30676100393747446},{"$f":"LOG(F5)","v":-6.9847399409627753E-2},{"$f":"LOG(J5)","v":-0.73487607467041494},{"$f":"LOG(K5)","v":-0.51319984958348586},{"$f":"(B5-B4)","v":1.6660047104544446},{"$f":" (C5-C4)","v":-3.4311080275628569E-5},{"$f":"(O5-O4)","v":-5.1456675921995156},{"$f":"(P5-P4)","v":-0.51095930362189357},null,null,null,null,null,null,-11.978132856768019,546.82239802698518,546.82239802698518,-11.978132856768019]
[2.5000000000000001E-2,550.91745405931499,-11.637613405453509,{"$f":"((O6^2+P6^2)^(3/2))/F6","v":122.27643655470106},{"$f":"SQRT(O6^2+P6^2)","v":4.1091893853464923},{"$f":"ABS(O6*R6-Q6*P6)","v":0.56744751568759477},{"$f":"LOG10(F6)","v":-0.24607430100945768},{"$f":"LOG10(D6)","v":2.0873427737964461},0.61375615759566282,8.1781905670161095E-3,3.3605733869323404E-2,-0.24607430100945768,{"$f":"LOG(J6)","v":-2.0873427737964461},-1.4735866162007834,4.0950560323298077,0.34051945131450978,{"$f":"(O6-O5)","v":2.4290513218753631},0.34055376239478541,null,null,"log (V) = a * log(D) + b* log (R)",null,null,null,-11.637613405453509,550.91745405931499,550.91745405931499,-11.637613405453509]
[3.3300000000000003E-2,553.77283658078238,-11.353964409463636,124.84320393014949,2.869436546924768,0.18924524258950617,-0.72297502936075786,2.0963649057104479,0.45779662544989669,8.0100475518035084E-3,2.298432318775025E-2,-0.72297502936075786,-2.0963649057104479,-1.6385682802605512,2.8553825214673907,0.28364899598987314,-1.2396735108624171,-5.6870455324636637E-2,null,null,"where D= |dX*d2Y-d2X*dY|",null,null,null,-11.353964409463636,553.77283658078238,553.77283658078238,-11.353964409463636]
[4.1700000000000001E-2,556.69047418894024,-10.309173391720812,13.807171022407392,3.0990639688933834,2.1556930324327142,0.3335869180119051,1.1401047042690471,0.49123054076031741,7.2426132650716013E-2,0.22445321810412663,0.3335869180119051,-1.1401047042690471,-0.64887416350872962,2.917637608157861,1.0447910177428241,6.2255086690470307E-2,0.76114202175295098,null,null,"b = ",{"$f":"U29","v":0.33333333333333354},null,null,-10.309173391720812,556.69047418894024,556.69047418894024,-10.309173391720812]
[0.05,559.54803226829154,-8.363061396101946,15.348267610187071,3.4573096587314094,2.6924985341200824,0.43015547552666444,1.1860593628884319,0.53873827947169894,6.5153933029957881E-2,0.22525732196881276,0.43015547552666444,-1.1860593628884319,-0.64732108341673311,2.8575580793512927,1.9461119956188657,-6.0079528806568305E-2,0.9013209778760416,null,null,"a=",{"$f":"V29","v":0.33333333333333304},null,null,-8.363061396101946,559.54803226829154,559.54803226829154,-8.363061396101946]
[5.8299999999999998E-2,561.73863985278911,-5.5295817314415059,11.983735107900053,3.58153159965154,3.8336650105436423,0.58361416111677566,1.0785922006851016,0.55406878726729247,8.3446437274866725E-2,0.29886605197827532,0.58361416111677566,-1.0785922006851016,-0.52452341341780928,2.1906075844975703,2.8334796646604401,-0.66695049485372238,0.88736766904157438,null,null,"R^2",{"$f":"U31","v":1},null,null,-5.5295817314415059,561.73863985278911,561.73863985278911,-5.5295817314415059]
[6.6699999999999995E-2,565.019159716741,3.23332371028566,82.740149544408737,9.3568329235075343,9.9008007988602351,0.99567032272492584,1.9177163015033274,0.97112887474275122,1.2086030850878202E-2,0.11308697138002494,0.99567032272492584,-1.9177163015033274,-0.94658742676057617,3.2805198639518949,8.7629054417271668,1.0899122794543246,5.9294257770667267,null,null,null,null,null,null,3.23332371028566,565.019159716741,565.019159716741,3.23332371028566]
[7.4999999999999997E-2,567.10618737706102,10.935006101636468,72.818864896216212,7.979448358889476,6.9770960290214523,0.84367470041745773,1.8622439048485171,0.90197286842199165,1.3732705136577344E-2,0.10957941146517516,0.84367470041745773,-1.8622439048485171,-0.96027103642652556,2.0870276603200182,7.7016823913508077,-1.1934922036318767,-1.0612230503763591,null,null,"log (A) = log (K)+ b* log(C)",null,null,null,10.935006101636468,567.10618737706102,567.10618737706102,10.935006101636468]
[8.3299999999999999E-2,569.49080747536516,23.259251457928695,268.91498721815776,12.552825841830458,7.3554543299821891,0.86660950329200725,2.4296150070755327,1.0987415034558468,3.7186473329162135E-3,4.6679532337284557E-2,0.86660950329200725,-2.4296150070755327,-1.3308735036196861,2.3846200983041399,12.324245356292227,0.29759243798412172,4.6225629649414195,null,null,"b = ",{"$f":"U35","v":0.7442029437841563},null,null,23.259251457928695,569.49080747536516,569.49080747536516,23.259251457928695]
[9.1700000000000004E-2,570.5755122570539,38.770421780939166,159.15866742491568,15.549051072424298,23.620080631794032,1.3732813758297162,2.2018302943067924,1.1917038900455028,6.2830382798458508E-3,9.7695283103320041E-2,1.3732813758297162,-2.2018302943067924,-1.0101264042612894,1.0847047816887425,15.511170323010472,-1.2999153166153974,3.1869249667182444,null,null,"log (K)=",{"$f":"V35","v":0.22756551944838921},null,null,38.770421780939166,570.5755122570539,570.5755122570539,38.770421780939166]
[0.1,571.65809320925791,55.217882701275506,4270.9741780426275,16.483050453240324,1.0485419688442692,2.0585818180189782E-2,3.6305269457261686,1.217037587968786,2.3413861997599258E-4,3.8593186861163482E-3,2.0585818180189782E-2,-3.6305269457261686,-2.4134893577573826,1.0825809522040117,16.44746092033634,-2.123829484730777E-3,0.93629059732586839,null,null,"R^2",{"$f":"U37","v":0.83637716346631974},null,null,55.217882701275506,571.65809320925791,571.65809320925791,55.217882701275506]
[0.10829999999999999,571.97191111731229,68.039526408793449,241.96724952778808,12.825483579263203,8.7189594748793127,0.94046465909750143,2.3837565878321292,1.1080737489765435,4.1327907059800573E-3,5.3005039336078807E-2,0.94046465909750143,-2.3837565878321292,-1.2756828388555854,0.31381790805437504,12.821643707517943,-0.7687630441496367,-3.6258172128183972,null,null,null,null,null,null,68.039526408793449,571.97191111731229,571.97191111731229,68.039526408793449]
[0.1167,572.02728331360595,80.297755178585049,587.21519961878823,12.258353831272325,3.1368891368078931,0.49649917023635742,2.7687972884358305,1.0884321528907293,1.7029531944152429E-3,2.0875402815237538E-2,0.49649917023635742,-2.7687972884358305,-1.680365135545101,5.5372196293660636E-2,12.2582287697916,-0.2584457117607144,-0.56341493772634266,null,null,"log (A) = a * log(D) + b* log (C)",null,null,null,80.297755178585049,572.02728331360595,572.02728331360595,80.297755178585049]
[0.125,571.40536946330315,91.492650191503529,170.98520355572526,11.212156402203169,8.2434481762559368,0.91610891202175837,2.2329585297363974,1.0496891472527188,5.8484592772034402E-3,6.5573840127921071E-2,0.91610891202175837,-2.2329585297363974,-1.1832693824836786,-0.62191385030280344,11.194895012918479,-0.67728604659646408,-1.0633337568731207,null,null,"b = ",{"$f":"U41","v":0.66666666666666718},null,null,91.492650191503529,571.40536946330315,571.40536946330315,91.492650191503529]
[0.1333,571.46992925971347,99.478355651387986,89.522915396294593,7.9859664198731117,5.6891609728098054,0.75504822215131728,1.9519342169508853,0.90232747970073413,1.1170324330628208E-2,8.9205835003488457E-2,0.75504822215131728,-1.9519342169508853,-1.049606737250151,6.4559796410321724E-2,7.985705459884457,0.68647364671312516,-3.2091895530340224,null,null,"a=",{"$f":"V41","v":0.33333333333333276},null,null,99.478355651387986,571.46992925971347,571.46992925971347,99.478355651387986]
[0.14169999999999999,571.20253693506629,106.70626309936442,145.42195692094595,7.2328517703457358,2.6019485801801565,0.41529870976412492,2.1626299845813302,0.8593095647818183,6.8765406625879641E-3,4.9736999305253798E-2,0.41529870976412492,-2.1626299845813302,-1.3033204197995116,-0.26739232464717588,7.2279074479764347,-0.33195212105749761,-0.75779801190802232,null,null,"R^2",{"$f":"U43","v":1},null,null,106.70626309936442,571.20253693506629,571.20253693506629,106.70626309936442]
[0.15,570.38490534619325,112.9448675594025,58.725428056413683,6.2919557391903211,4.2416105017924419,0.62753078565893083,1.7688261910837153,0.79878565891421538,1.7028398652784025E-2,0.10714193063260519,0.62753078565893083,-1.7688261910837153,-0.97004053216950004,-0.81763158887304144,6.2386044600380757,-0.55023926422586555,-0.98930298793835902,null,null,null,null,null,null,112.9448675594025,570.38490534619325,570.38490534619325,112.9448675594025]
[0.1583,568.93806552353578,117.9341143599802,28.338269051485419,5.1947982741875878,4.9468955817554816,0.69433274344564411,1.4523733192937041,0.71556868757978276,3.5287970418489009E-2,0.18331388782954935,0.69433274344564411,-1.4523733192937041,-0.7368046317139213,-1.4468398226574664,4.9892468005777033,-0.62920823378442492,-1.2493576594603724,null,null,"R","K",null,null,117.9341143599802,568.93806552353578,568.93806552353578,117.9341143599802]
[0.16669999999999999,566.42953456611315,122.51013345819958,24.107829204391834,5.218493877702282,5.8949133929261075,0.77047742889665749,1.3821581059810029,0.71754517829255349,4.1480300508260834E-2,0.21646469424761003,0.77047742889665749,-1.3821581059810029,-0.66461292768844937,-2.5085309574226358,4.5760190982193762,-1.0616911347651694,-0.41322770235832706,null,null,{"$f":"LINEST(I10:I1000,H10:H1000,,TRUE)","v":0.25579705621584159},0.22756551944839121,null,null,122.51013345819958,566.42953456611315,566.42953456611315,122.51013345819958]
[0.17499999999999999,564.02209813946354,126.19826649008576,48.414137912934073,4.4043246257796893,1.7646791805181368,0.24666576196461557,1.6849722029869871,0.64387932165053419,2.0655123546728386E-2,9.0971869285377746E-2,0.24666576196461557,-1.6849722029869871,-1.0410928813364528,-2.4074364266496104,3.6881330318861814,0.10109453077302533,-0.88788606633319489,null,null,1.0466804519800888E-2,2.1489144515078093E-2,null,null,126.19826649008576,564.02209813946354,564.02209813946354,126.19826649008576]
[0.18329999999999999,561.959127289771,129.45232056376022,253.72921559089824,3.8528841977249364,0.22541737668213391,-0.64701260867018762,2.4043704768370104,0.58578595605560746,3.9412095200434295E-3,1.5185023879698412E-2,-0.64701260867018762,-2.4043704768370104,-1.8185845207814029,-2.0629708496925332,3.2540540736744674,0.34446557695707725,-0.43407895821171394,null,null,0.37652056375851423,0.19838603948785627,null,null,129.45232056376022,561.959127289771,561.959127289771,129.45232056376022]
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[0.39169999999999999,421.92606031659165,126.51688833199167,318.01812732674847,4.6916087438006606,0.32472332490832634,-0.48848651483826333,2.5024518758762615,0.67132178701266609,3.1444748398651743E-3,1.4752645653372634E-2,-0.48848651483826333,-2.5024518758762615,-1.8311300888635955,-3.976726559408462,-2.4893449894705526,0.86411237694721876,0.45925976143966807,null,null," ",null,null,null,126.51688833199167,421.92606031659165,421.92606031659165,126.51688833199167]
[0.4,418.49032890349355,122.85478528864212,21.066241660081751,5.0214787705474819,6.0104616574163705,0.77890783099913619,1.3235870618597243,0.70083163095295342,4.7469312093523154E-2,0.23836614293011937,0.77890783099913619,-1.3235870618597243,-0.62275543090677077,-3.4357314130980967,-3.6621030433495463,0.54099514631036527,-1.1727580538789937,null,null,null,null,null,null,122.85478528864212,418.49032890349355,418.49032890349355,122.85478528864212]
[0.4083,415.85283711248877,120.62070915429165,20.824416491843014,3.4565096733109169,1.9830811606073528,0.29734048873007857,1.3185728411509465,0.53863777662700829,4.8020553199735659E-2,0.16598350665262779,0.29734048873007857,-1.3185728411509463,-0.77993506452393813,-2.637491791004777,-2.2340761343504738,0.79823962209331967,1.4280269089990725,null,null,"Correlation C A D",null,null,null,120.62070915429165,415.85283711248877,415.85283711248877,120.62070915429165]
[0.41670000000000001,412.32491760330026,117.80423390800519,202.986134365163,4.5142827643222843,0.45321043773878911,-0.34370009660175677,2.3074663730148806,0.65458875880437462,4.926444868401921E-3,2.2239365158810753E-2,-0.34370009660175677,-2.3074663730148806,-1.6528776142105059,-3.5279195091885072,-2.8164752462864584,-0.89042771818373012,-0.58239911193598459,null,null,null,"A","D",null,117.80423390800519,412.32491760330026,412.32491760330026,117.80423390800519]
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[0.43330000000000002,406.99981015798784,112.29872248337684,64.187907367742199,4.2904628207243922,1.230436516664891,9.0059211559052277E-2,1.8074532171945357,0.63250414291786261,1.5579258477314882E-2,6.6842229271374801E-2,9.0059211559052277E-2,-1.8074532171945357,-1.1749490742766731,-3.0962437489039303,-2.9700750602285524,-0.86738005249543448,-0.43463869582875247,null,null,"A",null,{"$f":"CORREL(L10:L1000,N10:N1000)","v":0.60341248238497924},null,112.29872248337684,406.99981015798784,406.99981015798784,112.29872248337684]
[0.44169999999999998,404.04382857902164,109.94324738366613,36.328331156203689,3.7796944374571688,1.486362113004412,0.17212462673378104,1.5602454477856762,0.57745669150648582,2.7526725510737721E-2,0.10404261129434571,0.17212462673378104,-1.5602454477856762,-0.98278875627919049,-2.9559815789662025,-2.3554750997107021,0.14026216993772778,0.61459996051785026,null,null,null,null,null,null,109.94324738366613,404.04382857902164,404.04382857902164,109.94324738366613]
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