{"text_format":"1","workbook":"xlsx","n_sheets":3,"sheets":["Main","Regression","Data"],"not_rendered":{"charts":4,"images":0,"macros":1,"external_links":0,"defined_names":0,"comments":0,"pivot_tables":0},"unopened":[],"bounds":{"document_bytes":16777216,"sheet_cells":100000,"rows_first":2000,"rows_last":500,"rows_between":2000,"halvings":0,"cell_chars":16384,"cell_head_chars":4096},"cells_cut":0,"cells_raw":0,"read":"whole","date_system":"1900"}

{"sheet":"Main","index":0,"n_rows":20,"n_cols":9,"rows_kept":20,"cut":false,"hidden":false,"merged":[]}
[null,null,null,null,null,null,null,"log (V) = log (K) + b* log(R)"]
[null,null,null,null,null,null,null,"b = ",{"$f":"Regression!$V2","v":0.1971248622935777}]
[null,null,null,null,null,null,null,"log (K)=",{"$f":"Regression!$V3","v":0.26787964355007288}]
[null,null,null,null,null,null,null,"R^2",{"$f":"Regression!$V4","v":0.57313071768810209}]
[]
[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 = ",{"$f":"Regression!$V8","v":0.3333333333333337}]
[null,null,null,null,null,null,null,"a=",{"$f":"Regression!$V9","v":0.33333333333333398}]
[null,null,null,null,null,null,null,"R^2",{"$f":"Regression!$V10","v":1}]
[]
[null,null,null,null,null,null,null,"log (A) = log (K)+ b* log(C)"]
[null,null,null,null,null,null,null,"b = ",{"$f":"Regression!$V13","v":0.80287513770642238}]
[null,null,null,null,null,null,null,"log (K)=",{"$f":"Regression!$V14","v":0.26787964355007698}]
[null,null,null,null,null,null,null,"R^2",{"$f":"Regression!$V15","v":0.95703111702542798}]
[]
[null,null,null,null,null,null,null,"log (A) = a * log(D) + b* log (C)"]
[null,null,null,null,null,null,null,"b = ",{"$f":"Regression!$V18","v":0.66666666666666641}]
[null,null,null,null,null,null,null,"a=",{"$f":"Regression!$V19","v":0.33333333333333398}]
[null,null,null,null,null,null,null,"R^2",{"$f":"Regression!$V20","v":1}]

{"sheet":"Regression","index":1,"n_rows":1002,"n_cols":23,"rows_kept":1002,"cut":false,"hidden":false,"merged":[]}
[null,"Controlled Elipse Feedback = .5",null,null," "," ",null,null,null,null,null,null,null,null,null,null,null,null,null,null,"log (V) = log (K) + b* log(R)"]
["Time","x","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 = ",{"$f":"U23","v":0.1971248622935777}]
[0,0.37599938477305717,12.976344143844575,null,null,null,null," "," ",null,null,null,null,null,null,null,null,null,null,null,"log (K)=",{"$f":"V23","v":0.26787964355007288}]
[8.3000000000000001E-3,0.3020530713524423,9.886376602290369,null,null,null,null," "," ",null,null,null,null,null,{"$f":"(B4-B3)/(A4-A3)","v":-8.9091943880258864},{"$f":" (C4-C3)/(A4-A3)","v":-372.2852459703862},null,null,null,null,"R^2",{"$f":"U25","v":0.57313071768810209}]
[1.67E-2,0.28728756698869845,9.9131694464168199,{"$f":"((O5^2+P5^2)^(3/2))/F5","v":7.0743126648187576E-2},{"$f":"SQRT(O5^2+P5^2)","v":3.6419167310507654},{"$f":"ABS(O5*R5-Q5*P5)","v":682.81929529331194},{"$f":"LOG10(F5)","v":2.8343057850276567},{"$f":"LOG10(D5)","v":-1.1503157494965726},{"$f":"LOG10(E5)","v":0.56133001184369469},{"$f":"1/D5","v":14.135648894529314},{"$f":"E5/D5","v":51.480856213245566},{"$f":"LOG(F5)","v":2.8343057850276567},{"$f":"LOG(J5)","v":1.1503157494965726},{"$f":"LOG(K5)","v":1.7116457613402674},-1.7577981385409349,3.1896243007679632,{"$f":"O5-O4","v":7.1513962494849519},{"$f":"P5-P4","v":375.47487027115415}]
[2.5000000000000001E-2,0.30117153814176373,9.9081009840544709,{"$f":"((O6^2+P6^2)^(3/2))/F6","v":1.3249007970668911},{"$f":"SQRT(O6^2+P6^2)","v":1.7807455763333944},{"$f":"ABS(O6*R6-Q6*P6)","v":4.2620865150815268},{"$f":"LOG10(F6)","v":0.62962226110816044},{"$f":"LOG10(D6)","v":0.12218336136766128},{"$f":"LOG10(E6)","v":0.25060187415860719},0.75477349112766245,1.3440595554592973,0.62962226110816044,{"$f":"LOG(J6)","v":-0.12218336136766125},{"$f":"LOG(K6)","v":0.12841851279094593},1.6727676088030452,-0.61065811594565345,{"$f":"O6-O5","v":3.4305657473439801},-3.8002824167136167,null,null,"log (V) = a * log(D) + b* log (R)"]
[3.3300000000000003E-2,0.3289928247822515,9.9026522326848081,42.000619277621929,3.4156422128552517,0.94877104620132902,-2.2838577212168885E-2,1.6232556938948339,0.53347237222755495,2.380917275028855E-2,8.132361549904854E-2,-2.2838577212168885E-2,-1.6232556938948339,-1.089783321667279,3.3519622458418996,-0.6564760686340757,1.6791946370388544,-4.5817952688422259E-2,null,null,"where D= |dX*d2Y-d2X*dY|"]
[4.1700000000000001E-2,0.36379054945832806,9.8964699521655941,294.96924047521878,4.2074571982345388,0.25251221418482817,-0.59771760992243916,2.4697767299158597,0.62401970666447359,3.3901840015213821E-3,1.4264054080540711E-2,-0.59771760992243916,-2.4697767299158597,-1.8457570232513862,4.1425862709614965,-0.73598577609690374,0.79062402511959684,-7.9509707462828039E-2,null,null,"b = ",{"$f":"U29","v":0.3333333333333337}]
[0.05,0.4016526146261219,9.8896359180768449,1859.2551143619842,4.6354081033032815,5.3570406528296033E-2,-1.2710750578958394,3.2693389848004428,0.66608797563486788,5.3784980462089874E-4,2.493153342699801E-3,-1.2710750578958394,-3.2693389848004428,-2.6032510091655752,4.5616945985293764,-0.82337760105411595,0.41910832756787997,-8.7391824957212205E-2,null,null,"a=",{"$f":"V29","v":0.33333333333333398}]
[5.8299999999999998E-2,0.44091044356462228,9.8821192834229663,471.85516966354277,4.8157772374158849,0.2366957452700752,-0.62580954867140681,2.6738087175578151,0.68266638962880266,2.1192943604137092E-3,1.0206049540264196E-2,-0.62580954867140681,-2.6738087175578147,-1.9911423279290121,4.7298589082530613,-0.90561863299742706,0.1681643097236849,-8.2241031943311116E-2,null,null,"R^2",{"$f":"U31","v":1}]
[6.6699999999999995E-2,0.48099446517217803,9.8738571190521061,349.72195235038504,4.8722223733078804,0.33071844020124125,-0.4805415890162284,2.5437228942063244,0.68772710173003204,2.8594144384682606E-3,1.3931703001664648E-2,-0.4805415890162284,-2.5437228942063244,-1.8559957924762924,4.7719073342328286,-0.98359099653098214,4.2048425979767323E-2,-7.7972363533555078E-2]
[7.4999999999999997E-2,0.52112523608903405,9.8649783809085854,347.994184888245,4.951954920264571,0.34894586844966169,-0.45724193939319396,2.5415719867855247,0.69477668246411017,2.8736112366967866E-3,1.4229993302488211E-2,-0.45724193939319396,-2.5415719867855251,-1.8467953043214147,4.8350326405850614,-1.0697274871711675,6.3125306352232791E-2,-8.6136490640185359E-2,null,null,"log (A) = log (K)+ b* log(C)"]
[8.3299999999999999E-2,0.5611691832795288,9.8554269139852515,302.71569452309444,4.9599180591196754,0.40307751027529015,-0.39461143264778131,2.4810349378646719,0.69547450173896341,3.3034296473310508E-3,1.6384740364828621E-2,-0.39461143264778131,-2.4810349378646719,-1.7855604361257083,4.8245719506620173,-1.1507791473896216,-1.0460689923044164E-2,-8.1051660218454114E-2,null,null,"b = ",{"$f":"U35","v":0.80287513770642238}]
[9.1700000000000004E-2,0.60130868285041661,9.8451152488929736,283.54663288934177,4.9336726860562798,0.42353227095144808,-0.37311349309670411,2.4526244944142541,0.69317033377251669,3.5267567447724362E-3,1.7399863422048526E-2,-0.37311349309670411,-2.4526244944142541,-1.7594541606417375,4.7785118536771165,-1.2275791776521277,-4.6060096984900767E-2,-7.6800030262506036E-2,null,null,"log (K)=",{"$f":"V35","v":0.26787964355007698}]
[0.1,0.64113397144535311,9.8342225650842607,323.10114686015908,4.9744654595263915,0.38097875604343684,-0.41909924057198178,2.5093384995656312,0.69674641966454975,3.0950060367096392E-3,1.5396000626637771E-2,-0.41909924057198178,-2.5093384995656312,-1.8125920799010813,4.7982275415586138,-1.31237154321842,1.9715687881497246E-2,-8.4792365566292327E-2,null,null,"R^2",{"$f":"U37","v":0.95703111702542798}]
[0.10829999999999999,0.68069246545618167,9.822667378270534,287.90825931241409,4.9652542050460076,0.42517756446875227,-0.3714296601517702,2.4592541237956054,0.69594148788127841,3.4733286304054348E-3,1.7245959587627275E-2,-0.3714296601517702,-2.4592541237956054,-1.763312635914327,4.7660836157624837,-1.3921911823767119,-3.2143925796130013E-2,-7.9819639158291933E-2]
[0.1167,0.72025486384353088,9.8103377089926838,273.61573134430546,4.9332335188532905,0.43878720766548707,-0.35774604226704615,2.4371410632221262,0.69313167365169337,3.6547606202570492E-3,1.8029787595237119E-2,-0.35774604226704615,-2.4371410632221262,-1.7440093895704329,4.7098093318272838,-1.4678177711726523,-5.6274283935199954E-2,-7.5626588795940419E-2,null,null,"log (A) = a * log(D) + b* log (C)"]
[0.125,0.75945621598885482,9.7974628235036008,329.17164137897646,4.9712611243212752,0.37323066142013567,-0.42802268556168521,2.5174224130434824,0.69646657582726568,3.0379287711747214E-3,1.5102337198597994E-2,-0.42802268556168521,-2.5174224130434824,-1.8209558372162165,4.7230544753402333,-1.5511910227810839,1.3245143512949475E-2,-8.3373251608431564E-2,null,null,"b = ",{"$f":"U41","v":0.66666666666666641}]
[0.1333,0.79836558358096787,9.7839359345491417,287.25512501673842,4.9630886224974162,0.42558695214618436,-0.37101169532244621,2.4582677858255404,0.69575203016769793,3.4812259657394443E-3,1.7277632982904016E-2,-0.37101169532244621,-2.4582677858255404,-1.7625157556578424,4.6878756135075959,-1.6297456571637445,-3.5178861832637409E-2,-7.8554634382660637E-2,null,null,"a=",{"$f":"V41","v":0.33333333333333398}]
[0.14169999999999999,0.83726375032094325,9.7696205981129918,271.69789347920505,4.9343712036415797,0.44219026929497768,-0.35439081860487121,2.4340862712706559,0.69323181755526142,3.6805585321055758E-3,1.8161242034139075E-2,-0.35439081860487121,-2.4340862712706559,-1.7408544537153943,4.6307341357113589,-1.7042067185892764,-5.7141477796236906E-2,-7.4461061425531883E-2,null,null,"R^2",{"$f":"U43","v":1}]
[0.15,0.87579254702601128,9.7547959996563147,341.81881982098099,4.9737836362340166,0.35996866477241335,-0.44373530286807777,2.5337959703782662,0.69668688917006283,2.9255264544056549E-3,1.4550935606292569E-2,-0.44373530286807777,-2.5337959703782662,-1.8371090812082036,4.6420236994057866,-1.7860961995996445,1.1289563694427684E-2,-8.1889481010368081E-2]
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[0.17499999999999999,0.99008299091021512,9.7063207114221211,358.06130016005613,4.9857101007202527,0.34611759941364012,-0.46077631710604255,2.5539573843037875,0.69772702239924833,2.7928178765842396E-3,1.3924180296758132E-2,-0.46077631710604255,-2.5539573843037875,-1.8562303619045393,4.5594858916567782,-2.0170259324576745,1.0036610525624212E-2,-8.0351537831971909E-2,null,null,5.4095839673167735E-3,1.680912998654574E-2]
[0.18329999999999999,1.0276275762766112,9.6889488970124393,295.47095459654139,4.9841901685446874,0.41905306096770889,-0.37773098269841859,2.4705147952733477,0.69759460419164321,3.3844274181381935E-3,1.6868629863637463E-2,-0.37773098269841859,-2.4705147952733477,-1.7729201910817047,4.5234440200477151,-2.0929896879134597,-3.6041871609063136E-2,-7.5963755455785265E-2,null,null,0.57313071768810209,7.1292015071259651E-2]
[0.19170000000000001,1.065153950280959,9.6707614104103143,275.70678363820014,4.9644618771082456,0.44378139216623563,-0.35283091176815295,2.4404474518525765,0.69587218002814111,3.6270416955437091E-3,1.8006310224208795E-2,-0.35283091176815295,-2.4404474518525765,-1.7445752718244356,4.4674254767080717,-2.1651769764434468,-5.6018543339643401E-2,-7.2187288529987015E-2,null,null,1327.8685145101949,989]
[0.2,1.1023086005368019,9.6521366507833442,377.80493606294635,5.0073972089202954,0.33232919919650283,-0.47843149894756648,2.5772676277279429,0.69961204292679224,2.6468685412659333E-3,1.3253922145913968E-2,-0.47843149894756648,-2.5772676277279429,-1.8776555848011507,4.4764638862461261,-2.243946943008456,9.0384095380544593E-3,-7.8769966565009231E-2]
[0.20830000000000001,1.1391642791627474,9.6328922438078894,302.8773115436436,5.009336973507736,0.41502475333174627,-0.38192599987877124,2.481266741670757,0.69978024726399535,3.3016669188702281E-3,1.6539162170904002E-2,-0.38192599987877124,-2.481266741670757,-1.7814864944067617,4.4404432079452425,-2.3186032500547835,-3.6020678300883624E-2,-7.465630704632753E-2,null,null,"R","D","I"]
[0.2167,1.1760010379235268,9.6128187842161381,280.87752130508835,4.9941725904982395,0.4434796095152761,-0.35312634354043093,2.4485169839014977,0.69846354678702216,3.5602706665650288E-3,1.7780606177713962E-2,-0.35312634354043093,-2.4485169839014977,-1.7500534371144754,4.3853284239023154,-2.3896975704465895,-5.5114784042927134E-2,-7.1094320391805965E-2,null,null,{"$f":"LINEST(I10:I1000,G10:H1000,,TRUE)","v":0.3333333333333337},0.33333333333333398,-1.7763568394002505E-15]
[0.22500000000000001,1.2124676660400844,9.592343905553415,401.45786333873207,5.0387317134739193,0.31865720037035261,-0.49667626376568819,2.6036399688430882,0.70232123502580002,2.4909214423737541E-3,1.2551084867460833E-2,-0.49667626376568819,-2.6036399688430882,-1.9013187338172881,4.3935696525972929,-2.466852850930497,8.2412286949775648E-3,-7.7155280483907518E-2,null,null,1.7655096264317097E-17,2.7003957691622656E-17,4.8009247648626568E-17]
[0.23330000000000001,1.2486370742160295,9.5712602005952725,312.54215196527383,5.0440773151389431,0.41061669796515493,-0.38656339377041038,2.4949085981005483,0.70278173477671269,3.1995684220895385E-3,1.6138870496096743E-2,-0.38656339377041038,-2.4949085981005483,-1.7921268633238356,4.357760021198211,-2.5402054166436732,-3.5809631399081887E-2,-7.3352565713176165E-2,null,null,1,1.8163005298746575E-16,{"$error":"#N/A"}]
[0.2417,1.2847882144694316,9.5493341417113538,288.17351507976139,5.0334158322661642,0.44252149252880307,-0.35406563149725823,2.4596540639753295,0.70186281082602386,3.4701315272613357E-3,1.7466614969363171E-2,-0.35406563149725823,-2.4596540639753295,-1.7577912531493058,4.3037071730240584,-2.6102451052284246,-5.4052848174152679E-2,-7.0039688584751403E-2,null,null,1.784751490000129E+32,988,{"$error":"#N/A"}]
[0.25,1.3205723631183939,9.5270423090125398,429.58434717317448,5.0794687756274524,0.30507487108647752,-0.51559356357336195,2.6330484485291068,0.7058182949852484,2.3278315575983475E-3,1.1824147711741024E-2,-0.51559356357336195,-2.6330484485291068,-1.9272301535438585,4.3113432107183467,-2.685762975760718,7.6360376942883335E-3,-7.5517870532293419E-2]
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