Exploring the Correlation Coefficient
Loading the math board and drawing, please wait…
This example demonstrates how to understand the linear relationship between data using scatter plots and the correlation coefficient r. Key math concepts include correlation coefficient, linear regression, standard deviation, sample mean, etc. GeoGebra commands used are RandomNormal, FitLineY, SD, PMCC, Sample, Slope, Mean, Histogram. Suitable for high school and above students learning probability & statistics concepts.
GeoGebra Commands & Parameters
RandomNormal(mx, sx) → A250RandomNormal(mx, sx) → A249RandomNormal(mx, sx) → A248RandomNormal(mx, sx) → A247RandomNormal(mx, sx) → A246RandomNormal(mx, sx) → A245RandomNormal(mx, sx) → A244RandomNormal(mx, sx) → A243RandomNormal(mx, sx) → A242RandomNormal(mx, sx) → A241RandomNormal(mx, sx) → A240RandomNormal(mx, sx) → A239RandomNormal(mx, sx) → A238RandomNormal(mx, sx) → A237RandomNormal(mx, sx) → A236RandomNormal(mx, sx) → A235RandomNormal(mx, sx) → A234RandomNormal(mx, sx) → A233RandomNormal(mx, sx) → A232RandomNormal(mx, sx) → A231RandomNormal(mx, sx) → A230RandomNormal(mx, sx) → A229RandomNormal(mx, sx) → A228RandomNormal(mx, sx) → A227RandomNormal(mx, sx) → A226RandomNormal(mx, sx) → A225RandomNormal(mx, sx) → A224RandomNormal(mx, sx) → A223RandomNormal(mx, sx) → A222RandomNormal(mx, sx) → A221RandomNormal(mx, sx) → A220RandomNormal(mx, sx) → A219RandomNormal(mx, sx) → A218RandomNormal(mx, sx) → A217RandomNormal(mx, sx) → A216RandomNormal(mx, sx) → A215RandomNormal(mx, sx) → A214RandomNormal(mx, sx) → A213RandomNormal(mx, sx) → A212RandomNormal(mx, sx) → A211RandomNormal(mx, sx) → A210RandomNormal(mx, sx) → A209RandomNormal(mx, sx) → A208RandomNormal(mx, sx) → A207RandomNormal(mx, sx) → A206RandomNormal(mx, sx) → A205RandomNormal(mx, sx) → A204RandomNormal(mx, sx) → A203RandomNormal(mx, sx) → A202RandomNormal(mx, sx) → A201RandomNormal(mx, sx) → A200RandomNormal(mx, sx) → A199RandomNormal(mx, sx) → A198RandomNormal(mx, sx) → A197RandomNormal(mx, sx) → A196RandomNormal(mx, sx) → A195RandomNormal(mx, sx) → A194RandomNormal(mx, sx) → A193RandomNormal(mx, sx) → A192RandomNormal(mx, sx) → A191RandomNormal(mx, sx) → A190RandomNormal(mx, sx) → A189RandomNormal(mx, sx) → A188RandomNormal(mx, sx) → A187RandomNormal(mx, sx) → A186RandomNormal(mx, sx) → A185RandomNormal(mx, sx) → A184RandomNormal(mx, sx) → A183RandomNormal(mx, sx) → A182RandomNormal(mx, sx) → A181RandomNormal(mx, sx) → A180RandomNormal(mx, sx) → A179RandomNormal(mx, sx) → A178RandomNormal(mx, sx) → A177RandomNormal(mx, sx) → A176RandomNormal(mx, sx) → A175RandomNormal(mx, sx) → A174RandomNormal(mx, sx) → A173RandomNormal(mx, sx) → A172RandomNormal(mx, sx) → A171RandomNormal(mx, sx) → A170RandomNormal(mx, sx) → A169RandomNormal(mx, sx) → A168RandomNormal(mx, sx) → A167RandomNormal(mx, sx) → A166RandomNormal(mx, sx) → A165RandomNormal(mx, sx) → A164RandomNormal(mx, sx) → A163RandomNormal(mx, sx) → A162RandomNormal(mx, sx) → A161RandomNormal(mx, sx) → A160RandomNormal(mx, sx) → A159RandomNormal(mx, sx) → A158RandomNormal(mx, sx) → A157RandomNormal(mx, sx) → A156RandomNormal(mx, sx) → A155RandomNormal(mx, sx) → A154RandomNormal(mx, sx) → A153RandomNormal(mx, sx) → A152RandomNormal(mx, sx) → A151RandomNormal(mx, sx) → A150RandomNormal(mx, sx) → A149RandomNormal(mx, sx) → A148RandomNormal(mx, sx) → A147RandomNormal(mx, sx) → A146RandomNormal(mx, sx) → A145RandomNormal(mx, sx) → A144RandomNormal(mx, sx) → A143RandomNormal(mx, sx) → A142RandomNormal(mx, sx) → A141RandomNormal(mx, sx) → A140RandomNormal(mx, sx) → A139RandomNormal(mx, sx) → A138RandomNormal(mx, sx) → A137RandomNormal(mx, sx) → A136RandomNormal(mx, sx) → A135RandomNormal(mx, sx) → A134RandomNormal(mx, sx) → A133RandomNormal(mx, sx) → A132RandomNormal(mx, sx) → A131RandomNormal(mx, sx) → A130RandomNormal(mx, sx) → A129RandomNormal(mx, sx) → A128RandomNormal(mx, sx) → A127RandomNormal(mx, sx) → A126RandomNormal(mx, sx) → A125RandomNormal(mx, sx) → A124RandomNormal(mx, sx) → A123RandomNormal(mx, sx) → A122RandomNormal(mx, sx) → A121RandomNormal(mx, sx) → A120RandomNormal(mx, sx) → A119RandomNormal(mx, sx) → A118RandomNormal(mx, sx) → A117RandomNormal(mx, sx) → A116RandomNormal(mx, sx) → A115RandomNormal(mx, sx) → A114RandomNormal(mx, sx) → A113RandomNormal(mx, sx) → A112RandomNormal(mx, sx) → A111RandomNormal(mx, sx) → A110RandomNormal(mx, sx) → A109RandomNormal(mx, sx) → A108RandomNormal(mx, sx) → A107RandomNormal(mx, sx) → A106RandomNormal(mx, sx) → A105RandomNormal(mx, sx) → A104RandomNormal(mx, sx) → A103RandomNormal(mx, sx) → A102RandomNormal(mx, sx) → A101RandomNormal(mx, sx) → A100RandomNormal(mx, sx) → A99RandomNormal(mx, sx) → A98RandomNormal(mx, sx) → A97RandomNormal(mx, sx) → A96RandomNormal(mx, sx) → A95RandomNormal(mx, sx) → A94RandomNormal(mx, sx) → A93RandomNormal(mx, sx) → A92RandomNormal(mx, sx) → A91RandomNormal(mx, sx) → A90RandomNormal(mx, sx) → A89RandomNormal(mx, sx) → A88RandomNormal(mx, sx) → A87RandomNormal(mx, sx) → A86RandomNormal(mx, sx) → A85RandomNormal(mx, sx) → A84RandomNormal(mx, sx) → A83RandomNormal(mx, sx) → A82RandomNormal(mx, sx) → A81RandomNormal(mx, sx) → A80RandomNormal(mx, sx) → A79RandomNormal(mx, sx) → A78RandomNormal(mx, sx) → A77RandomNormal(mx, sx) → A76RandomNormal(mx, sx) → A75RandomNormal(mx, sx) → A74RandomNormal(mx, sx) → A73RandomNormal(mx, sx) → A72RandomNormal(mx, sx) → A71RandomNormal(mx, sx) → A70RandomNormal(mx, sx) → A69RandomNormal(mx, sx) → A68RandomNormal(mx, sx) → A67RandomNormal(mx, sx) → A66RandomNormal(mx, sx) → A65RandomNormal(mx, sx) → A64RandomNormal(mx, sx) → A63RandomNormal(mx, sx) → A62RandomNormal(mx, sx) → A61RandomNormal(mx, sx) → A60RandomNormal(mx, sx) → A59RandomNormal(mx, sx) → A58RandomNormal(mx, sx) → A57RandomNormal(mx, sx) → A56RandomNormal(mx, sx) → A55RandomNormal(mx, sx) → A54RandomNormal(mx, sx) → A53RandomNormal(mx, sx) → A52RandomNormal(mx, sx) → A51RandomNormal(mx, sx) → A50RandomNormal(mx, sx) → A49RandomNormal(mx, sx) → A48RandomNormal(mx, sx) → A47RandomNormal(mx, sx) → A46RandomNormal(mx, sx) → A45RandomNormal(mx, sx) → A44RandomNormal(mx, sx) → A43RandomNormal(mx, sx) → A42RandomNormal(mx, sx) → A41RandomNormal(mx, sx) → A40RandomNormal(mx, sx) → A39RandomNormal(mx, sx) → A38RandomNormal(mx, sx) → A37RandomNormal(mx, sx) → A36RandomNormal(mx, sx) → A35RandomNormal(mx, sx) → A34RandomNormal(mx, sx) → A33RandomNormal(mx, sx) → A32RandomNormal(mx, sx) → A31RandomNormal(mx, sx) → A30RandomNormal(mx, sx) → A29RandomNormal(mx, sx) → A28RandomNormal(mx, sx) → A27RandomNormal(mx, sx) → A26RandomNormal(mx, sx) → A25RandomNormal(mx, sx) → A24RandomNormal(mx, sx) → A23RandomNormal(mx, sx) → A22RandomNormal(mx, sx) → A21RandomNormal(mx, sx) → A20RandomNormal(mx, sx) → A19RandomNormal(mx, sx) → A18RandomNormal(mx, sx) → A17RandomNormal(mx, sx) → A16RandomNormal(mx, sx) → A15RandomNormal(mx, sx) → A14RandomNormal(mx, sx) → A13RandomNormal(mx, sx) → A12RandomNormal(mx, sx) → A11RandomNormal(mx, sx) → A10RandomNormal(mx, sx) → A9RandomNormal(mx, sx) → A8RandomNormal(mx, sx) → A7RandomNormal(mx, sx) → A6RandomNormal(mx, sx) → A5RandomNormal(mx, sx) → A4RandomNormal(mx, sx) → A3RandomNormal(mx, sx) → A2RandomNormal(mx, sx) → A1FitLineY(C1:C250) → bSD(A1:A250) → RealSDxSD(B1:B250) → RealSDyPMCC(C1:C250) → RealCorrCoeffSample(C$1:C$100, 30, false) → G1Sample(C$1:C$100, 30, false) → G2Sample(C$1:C$100, 30, false) → G3Sample(C$1:C$100, 30, false) → G4Sample(C$1:C$100, 30, false) → G5Sample(C$1:C$100, 30, false) → G6Sample(C$1:C$100, 30, false) → G7Sample(C$1:C$100, 30, false) → G8Sample(C$1:C$100, 30, false) → G9Sample(C$1:C$100, 30, false) → G10Sample(C$1:C$100, 30, false) → G11Sample(C$1:C$100, 30, false) → G12Sample(C$1:C$100, 30, false) → G13Sample(C$1:C$100, 30, false) → G14Sample(C$1:C$100, 30, false) → G15Sample(C$1:C$100, 30, false) → G16Sample(C$1:C$100, 30, false) → G17Sample(C$1:C$100, 30, false) → G18Sample(C$1:C$100, 30, false) → G19Sample(C$1:C$100, 30, false) → G20Sample(C$1:C$100, 30, false) → G21Sample(C$1:C$100, 30, false) → G22Sample(C$1:C$100, 30, false) → G23Sample(C$1:C$100, 30, false) → G24Sample(C$1:C$100, 30, false) → G25Sample(C$1:C$100, 30, false) → G26Sample(C$1:C$100, 30, false) → G27Sample(C$1:C$100, 30, false) → G28Sample(C$1:C$100, 30, false) → G29Sample(C$1:C$100, 30, false) → G30Sample(C$1:C$100, 30, false) → G31Sample(C$1:C$100, 30, false) → G32Sample(C$1:C$100, 30, false) → G33Sample(C$1:C$100, 30, false) → G34Sample(C$1:C$100, 30, false) → G35Sample(C$1:C$100, 30, false) → G36Sample(C$1:C$100, 30, false) → G37Sample(C$1:C$100, 30, false) → G38Sample(C$1:C$100, 30, false) → G39Sample(C$1:C$100, 30, false) → G40Sample(C$1:C$100, 30, false) → G41Sample(C$1:C$100, 30, false) → G42Sample(C$1:C$100, 30, false) → G43Sample(C$1:C$100, 30, false) → G44Sample(C$1:C$100, 30, false) → G45Sample(C$1:C$100, 30, false) → G46Sample(C$1:C$100, 30, false) → G47Sample(C$1:C$100, 30, false) → G48Sample(C$1:C$100, 30, false) → G49Sample(C$1:C$100, 30, false) → G50Slope(FitLineY[G1]) → H1Slope(FitLineY[G2]) → H2Slope(FitLineY[G3]) → H3Slope(FitLineY[G4]) → H4Slope(FitLineY[G5]) → H5Slope(FitLineY[G6]) → H6Slope(FitLineY[G7]) → H7Slope(FitLineY[G8]) → H8Slope(FitLineY[G9]) → H9Slope(FitLineY[G10]) → H10Slope(FitLineY[G11]) → H11Slope(FitLineY[G12]) → H12Slope(FitLineY[G13]) → H13Slope(FitLineY[G14]) → H14Slope(FitLineY[G15]) → H15Slope(FitLineY[G16]) → H16Slope(FitLineY[G17]) → H17Slope(FitLineY[G18]) → H18Slope(FitLineY[G19]) → H19Slope(FitLineY[G20]) → H20Slope(FitLineY[G21]) → H21Slope(FitLineY[G22]) → H22Slope(FitLineY[G23]) → H23Slope(FitLineY[G24]) → H24Slope(FitLineY[G25]) → H25Slope(FitLineY[G26]) → H26Slope(FitLineY[G27]) → H27Slope(FitLineY[G28]) → H28Slope(FitLineY[G29]) → H29Slope(FitLineY[G30]) → H30Slope(FitLineY[G31]) → H31Slope(FitLineY[G32]) → H32Slope(FitLineY[G33]) → H33Slope(FitLineY[G34]) → H34Slope(FitLineY[G35]) → H35Slope(FitLineY[G36]) → H36Slope(FitLineY[G37]) → H37Slope(FitLineY[G38]) → H38Slope(FitLineY[G39]) → H39Slope(FitLineY[G40]) → H40Slope(FitLineY[G41]) → H41Slope(FitLineY[G42]) → H42Slope(FitLineY[G43]) → H43Slope(FitLineY[G44]) → H44Slope(FitLineY[G45]) → H45Slope(FitLineY[G46]) → H46Slope(FitLineY[G47]) → H47Slope(FitLineY[G48]) → H48Slope(FitLineY[G49]) → H49Slope(FitLineY[G50]) → H50Sample(C$1:C$100, 30, false) → G51Slope(FitLineY[G51]) → H51Sample(C$1:C$100, 30, false) → G52Slope(FitLineY[G52]) → H52Sample(C$1:C$100, 30, false) → G53Slope(FitLineY[G53]) → H53Sample(C$1:C$100, 30, false) → G54Slope(FitLineY[G54]) → H54Sample(C$1:C$100, 30, false) → G55Slope(FitLineY[G55]) → H55Sample(C$1:C$100, 30, false) → G56Slope(FitLineY[G56]) → H56Sample(C$1:C$100, 30, false) → G57Slope(FitLineY[G57]) → H57Sample(C$1:C$100, 30, false) → G58Slope(FitLineY[G58]) → H58Sample(C$1:C$100, 30, false) → G59Slope(FitLineY[G59]) → H59Sample(C$1:C$100, 30, false) → G60Slope(FitLineY[G60]) → H60Sample(C$1:C$100, 30, false) → G61Slope(FitLineY[G61]) → H61Sample(C$1:C$100, 30, false) → G62Slope(FitLineY[G62]) → H62Sample(C$1:C$100, 30, false) → G63Slope(FitLineY[G63]) → H63Sample(C$1:C$100, 30, false) → G64Slope(FitLineY[G64]) → H64Sample(C$1:C$100, 30, false) → G65Slope(FitLineY[G65]) → H65Sample(C$1:C$100, 30, false) → G66Slope(FitLineY[G66]) → H66Sample(C$1:C$100, 30, false) → G67Slope(FitLineY[G67]) → H67Sample(C$1:C$100, 30, false) → G68Slope(FitLineY[G68]) → H68Sample(C$1:C$100, 30, false) → G69Slope(FitLineY[G69]) → H69Sample(C$1:C$100, 30, false) → G70Slope(FitLineY[G70]) → H70Sample(C$1:C$100, 30, false) → G71Slope(FitLineY[G71]) → H71Sample(C$1:C$100, 30, false) → G72Slope(FitLineY[G72]) → H72Sample(C$1:C$100, 30, false) → G73Slope(FitLineY[G73]) → H73Sample(C$1:C$100, 30, false) → G74Slope(FitLineY[G74]) → H74Sample(C$1:C$100, 30, false) → G75Slope(FitLineY[G75]) → H75Sample(C$1:C$100, 30, false) → G76Slope(FitLineY[G76]) → H76Sample(C$1:C$100, 30, false) → G77Slope(FitLineY[G77]) → H77Sample(C$1:C$100, 30, false) → G78Slope(FitLineY[G78]) → H78Sample(C$1:C$100, 30, false) → G79Slope(FitLineY[G79]) → H79Sample(C$1:C$100, 30, false) → G80Slope(FitLineY[G80]) → H80Sample(C$1:C$100, 30, false) → G81Slope(FitLineY[G81]) → H81Sample(C$1:C$100, 30, false) → G82Slope(FitLineY[G82]) → H82Sample(C$1:C$100, 30, false) → G83Slope(FitLineY[G83]) → H83Sample(C$1:C$100, 30, false) → G84Slope(FitLineY[G84]) → H84Sample(C$1:C$100, 30, false) → G85Slope(FitLineY[G85]) → H85Sample(C$1:C$100, 30, false) → G86Slope(FitLineY[G86]) → H86Sample(C$1:C$100, 30, false) → G87Slope(FitLineY[G87]) → H87Sample(C$1:C$100, 30, false) → G88Slope(FitLineY[G88]) → H88Sample(C$1:C$100, 30, false) → G89Slope(FitLineY[G89]) → H89Sample(C$1:C$100, 30, false) → G90Slope(FitLineY[G90]) → H90Sample(C$1:C$100, 30, false) → G91Slope(FitLineY[G91]) → H91Sample(C$1:C$100, 30, false) → G92Slope(FitLineY[G92]) → H92Sample(C$1:C$100, 30, false) → G93Slope(FitLineY[G93]) → H93Sample(C$1:C$100, 30, false) → G94Slope(FitLineY[G94]) → H94Sample(C$1:C$100, 30, false) → G95Slope(FitLineY[G95]) → H95Sample(C$1:C$100, 30, false) → G96Slope(FitLineY[G96]) → H96Sample(C$1:C$100, 30, false) → G97Slope(FitLineY[G97]) → H97Sample(C$1:C$100, 30, false) → G98Slope(FitLineY[G98]) → H98Sample(C$1:C$100, 30, false) → G99Slope(FitLineY[G99]) → H99Sample(C$1:C$100, 30, false) → G100Slope(FitLineY[G100]) → H100Sample(C$1:C$100, 30, false) → G101Slope(FitLineY[G101]) → H101Sample(C$1:C$100, 30, false) → G102Slope(FitLineY[G102]) → H102Sample(C$1:C$100, 30, false) → G103Slope(FitLineY[G103]) → H103Sample(C$1:C$100, 30, false) → G104Slope(FitLineY[G104]) → H104Sample(C$1:C$100, 30, false) → G105Slope(FitLineY[G105]) → H105Sample(C$1:C$100, 30, false) → G106Slope(FitLineY[G106]) → H106Sample(C$1:C$100, 30, false) → G107Slope(FitLineY[G107]) → H107Sample(C$1:C$100, 30, false) → G108Slope(FitLineY[G108]) → H108Sample(C$1:C$100, 30, false) → G109Slope(FitLineY[G109]) → H109Sample(C$1:C$100, 30, false) → G110Slope(FitLineY[G110]) → H110Sample(C$1:C$100, 30, false) → G111Slope(FitLineY[G111]) → H111Sample(C$1:C$100, 30, false) → G112Slope(FitLineY[G112]) → H112Sample(C$1:C$100, 30, false) → G113Slope(FitLineY[G113]) → H113Sample(C$1:C$100, 30, false) → G114Slope(FitLineY[G114]) → H114Sample(C$1:C$100, 30, false) → G115Slope(FitLineY[G115]) → H115Sample(C$1:C$100, 30, false) → G116Slope(FitLineY[G116]) → H116Sample(C$1:C$100, 30, false) → G117Slope(FitLineY[G117]) → H117Sample(C$1:C$100, 30, false) → G118Slope(FitLineY[G118]) → H118Sample(C$1:C$100, 30, false) → G119Slope(FitLineY[G119]) → H119Sample(C$1:C$100, 30, false) → G120Slope(FitLineY[G120]) → H120Sample(C$1:C$100, 30, false) → G121Slope(FitLineY[G121]) → H121Sample(C$1:C$100, 30, false) → G122Slope(FitLineY[G122]) → H122Sample(C$1:C$100, 30, false) → G123Slope(FitLineY[G123]) → H123Sample(C$1:C$100, 30, false) → G124Slope(FitLineY[G124]) → H124Sample(C$1:C$100, 30, false) → G125Slope(FitLineY[G125]) → H125Sample(C$1:C$100, 30, false) → G126Slope(FitLineY[G126]) → H126Sample(C$1:C$100, 30, false) → G127Slope(FitLineY[G127]) → H127Sample(C$1:C$100, 30, false) → G128Slope(FitLineY[G128]) → H128Sample(C$1:C$100, 30, false) → G129Slope(FitLineY[G129]) → H129Sample(C$1:C$100, 30, false) → G130Slope(FitLineY[G130]) → H130Sample(C$1:C$100, 30, false) → G131Slope(FitLineY[G131]) → H131Sample(C$1:C$100, 30, false) → G132Slope(FitLineY[G132]) → H132Sample(C$1:C$100, 30, false) → G133Slope(FitLineY[G133]) → H133Sample(C$1:C$100, 30, false) → G134Slope(FitLineY[G134]) → H134Sample(C$1:C$100, 30, false) → G135Slope(FitLineY[G135]) → H135Sample(C$1:C$100, 30, false) → G136Slope(FitLineY[G136]) → H136Sample(C$1:C$100, 30, false) → G137Slope(FitLineY[G137]) → H137Sample(C$1:C$100, 30, false) → G138Slope(FitLineY[G138]) → H138Sample(C$1:C$100, 30, false) → G139Slope(FitLineY[G139]) → H139Sample(C$1:C$100, 30, false) → G140Slope(FitLineY[G140]) → H140Sample(C$1:C$100, 30, false) → G141Slope(FitLineY[G141]) → H141Sample(C$1:C$100, 30, false) → G142Slope(FitLineY[G142]) → H142Sample(C$1:C$100, 30, false) → G143Slope(FitLineY[G143]) → H143Sample(C$1:C$100, 30, false) → G144Slope(FitLineY[G144]) → H144Sample(C$1:C$100, 30, false) → G145Slope(FitLineY[G145]) → H145Sample(C$1:C$100, 30, false) → G146Slope(FitLineY[G146]) → H146Sample(C$1:C$100, 30, false) → G147Slope(FitLineY[G147]) → H147Sample(C$1:C$100, 30, false) → G148Slope(FitLineY[G148]) → H148Sample(C$1:C$100, 30, false) → G149Slope(FitLineY[G149]) → H149Sample(C$1:C$100, 30, false) → G150Slope(FitLineY[G150]) → H150Sample(C$1:C$100, 30, false) → G151Slope(FitLineY[G151]) → H151Sample(C$1:C$100, 30, false) → G152Slope(FitLineY[G152]) → H152Sample(C$1:C$100, 30, false) → G153Slope(FitLineY[G153]) → H153Sample(C$1:C$100, 30, false) → G154Slope(FitLineY[G154]) → H154Sample(C$1:C$100, 30, false) → G155Slope(FitLineY[G155]) → H155Sample(C$1:C$100, 30, false) → G156Slope(FitLineY[G156]) → H156Sample(C$1:C$100, 30, false) → G157Slope(FitLineY[G157]) → H157Sample(C$1:C$100, 30, false) → G158Slope(FitLineY[G158]) → H158Sample(C$1:C$100, 30, false) → G159Slope(FitLineY[G159]) → H159Sample(C$1:C$100, 30, false) → G160Slope(FitLineY[G160]) → H160Sample(C$1:C$100, 30, false) → G161Slope(FitLineY[G161]) → H161Sample(C$1:C$100, 30, false) → G162Slope(FitLineY[G162]) → H162Sample(C$1:C$100, 30, false) → G163Slope(FitLineY[G163]) → H163Sample(C$1:C$100, 30, false) → G164Slope(FitLineY[G164]) → H164Sample(C$1:C$100, 30, false) → G165Slope(FitLineY[G165]) → H165Sample(C$1:C$100, 30, false) → G166Slope(FitLineY[G166]) → H166Sample(C$1:C$100, 30, false) → G167Slope(FitLineY[G167]) → H167Sample(C$1:C$100, 30, false) → G168Slope(FitLineY[G168]) → H168Sample(C$1:C$100, 30, false) → G169Slope(FitLineY[G169]) → H169Sample(C$1:C$100, 30, false) → G170Slope(FitLineY[G170]) → H170Sample(C$1:C$100, 30, false) → G171Slope(FitLineY[G171]) → H171Sample(C$1:C$100, 30, false) → G172Slope(FitLineY[G172]) → H172Sample(C$1:C$100, 30, false) → G173Slope(FitLineY[G173]) → H173Sample(C$1:C$100, 30, false) → G174Slope(FitLineY[G174]) → H174Sample(C$1:C$100, 30, false) → G175Slope(FitLineY[G175]) → H175Sample(C$1:C$100, 30, false) → G176Slope(FitLineY[G176]) → H176Sample(C$1:C$100, 30, false) → G177Slope(FitLineY[G177]) → H177Sample(C$1:C$100, 30, false) → G178Slope(FitLineY[G178]) → H178Sample(C$1:C$100, 30, false) → G179Slope(FitLineY[G179]) → H179Sample(C$1:C$100, 30, false) → G180Slope(FitLineY[G180]) → H180Sample(C$1:C$100, 30, false) → G181Slope(FitLineY[G181]) → H181Sample(C$1:C$100, 30, false) → G182Slope(FitLineY[G182]) → H182Sample(C$1:C$100, 30, false) → G183Slope(FitLineY[G183]) → H183Sample(C$1:C$100, 30, false) → G184Slope(FitLineY[G184]) → H184Sample(C$1:C$100, 30, false) → G185Slope(FitLineY[G185]) → H185Sample(C$1:C$100, 30, false) → G186Slope(FitLineY[G186]) → H186Sample(C$1:C$100, 30, false) → G187Slope(FitLineY[G187]) → H187Sample(C$1:C$100, 30, false) → G188Slope(FitLineY[G188]) → H188Sample(C$1:C$100, 30, false) → G189Slope(FitLineY[G189]) → H189Sample(C$1:C$100, 30, false) → G190Slope(FitLineY[G190]) → H190Sample(C$1:C$100, 30, false) → G191Slope(FitLineY[G191]) → H191Sample(C$1:C$100, 30, false) → G192Slope(FitLineY[G192]) → H192Sample(C$1:C$100, 30, false) → G193Slope(FitLineY[G193]) → H193Sample(C$1:C$100, 30, false) → G194Slope(FitLineY[G194]) → H194Sample(C$1:C$100, 30, false) → G195Slope(FitLineY[G195]) → H195Sample(C$1:C$100, 30, false) → G196Slope(FitLineY[G196]) → H196Sample(C$1:C$100, 30, false) → G197Slope(FitLineY[G197]) → H197Sample(C$1:C$100, 30, false) → G198Slope(FitLineY[G198]) → H198Sample(C$1:C$100, 30, false) → G199Slope(FitLineY[G199]) → H199Sample(C$1:C$100, 30, false) → G200Slope(FitLineY[G200]) → H200Sample(C$1:C$100, 30, false) → G201Slope(FitLineY[G201]) → H201Sample(C$1:C$100, 30, false) → G202Slope(FitLineY[G202]) → H202Sample(C$1:C$100, 30, false) → G203Slope(FitLineY[G203]) → H203Sample(C$1:C$100, 30, false) → G204Slope(FitLineY[G204]) → H204Sample(C$1:C$100, 30, false) → G205Slope(FitLineY[G205]) → H205Sample(C$1:C$100, 30, false) → G206Slope(FitLineY[G206]) → H206Sample(C$1:C$100, 30, false) → G207Slope(FitLineY[G207]) → H207Sample(C$1:C$100, 30, false) → G208Slope(FitLineY[G208]) → H208Sample(C$1:C$100, 30, false) → G209Slope(FitLineY[G209]) → H209Sample(C$1:C$100, 30, false) → G210Slope(FitLineY[G210]) → H210Sample(C$1:C$100, 30, false) → G211Slope(FitLineY[G211]) → H211Sample(C$1:C$100, 30, false) → G212Slope(FitLineY[G212]) → H212Sample(C$1:C$100, 30, false) → G213Slope(FitLineY[G213]) → H213Sample(C$1:C$100, 30, false) → G214Slope(FitLineY[G214]) → H214Sample(C$1:C$100, 30, false) → G215Slope(FitLineY[G215]) → H215Sample(C$1:C$100, 30, false) → G216Slope(FitLineY[G216]) → H216Sample(C$1:C$100, 30, false) → G217Slope(FitLineY[G217]) → H217Sample(C$1:C$100, 30, false) → G218Slope(FitLineY[G218]) → H218Sample(C$1:C$100, 30, false) → G219Slope(FitLineY[G219]) → H219Sample(C$1:C$100, 30, false) → G220Slope(FitLineY[G220]) → H220Sample(C$1:C$100, 30, false) → G221Slope(FitLineY[G221]) → H221Sample(C$1:C$100, 30, false) → G222Slope(FitLineY[G222]) → H222Sample(C$1:C$100, 30, false) → G223Slope(FitLineY[G223]) → H223Sample(C$1:C$100, 30, false) → G224Slope(FitLineY[G224]) → H224Sample(C$1:C$100, 30, false) → G225Slope(FitLineY[G225]) → H225Sample(C$1:C$100, 30, false) → G226Slope(FitLineY[G226]) → H226Sample(C$1:C$100, 30, false) → G227Slope(FitLineY[G227]) → H227Sample(C$1:C$100, 30, false) → G228Slope(FitLineY[G228]) → H228Sample(C$1:C$100, 30, false) → G229Slope(FitLineY[G229]) → H229Sample(C$1:C$100, 30, false) → G230Slope(FitLineY[G230]) → H230Sample(C$1:C$100, 30, false) → G231Slope(FitLineY[G231]) → H231Sample(C$1:C$100, 30, false) → G232Slope(FitLineY[G232]) → H232Sample(C$1:C$100, 30, false) → G233Slope(FitLineY[G233]) → H233Sample(C$1:C$100, 30, false) → G234Slope(FitLineY[G234]) → H234Sample(C$1:C$100, 30, false) → G235Slope(FitLineY[G235]) → H235Sample(C$1:C$100, 30, false) → G236Slope(FitLineY[G236]) → H236Sample(C$1:C$100, 30, false) → G237Slope(FitLineY[G237]) → H237Sample(C$1:C$100, 30, false) → G238Slope(FitLineY[G238]) → H238Sample(C$1:C$100, 30, false) → G239Slope(FitLineY[G239]) → H239Sample(C$1:C$100, 30, false) → G240Slope(FitLineY[G240]) → H240Sample(C$1:C$100, 30, false) → G241Slope(FitLineY[G241]) → H241Sample(C$1:C$100, 30, false) → G242Slope(FitLineY[G242]) → H242Sample(C$1:C$100, 30, false) → G243Slope(FitLineY[G243]) → H243Sample(C$1:C$100, 30, false) → G244Slope(FitLineY[G244]) → H244Sample(C$1:C$100, 30, false) → G245Slope(FitLineY[G245]) → H245Sample(C$1:C$100, 30, false) → G246Slope(FitLineY[G246]) → H246Sample(C$1:C$100, 30, false) → G247Slope(FitLineY[G247]) → H247Sample(C$1:C$100, 30, false) → G248Slope(FitLineY[G248]) → H248Sample(C$1:C$100, 30, false) → G249Slope(FitLineY[G249]) → H249Sample(C$1:C$100, 30, false) → G250Slope(FitLineY[G250]) → H250Mean(D1:D250) → MeanDiffSD(F1:F250) → ReadSDSumMean(A1:A250) → RealMeanxMean(B1:B250) → RealMeanySD(D1:D250) → SDDiffPMCC(C1:C250) → aFitLineY(G1) → I1FitLineY(G2) → I2FitLineY(G3) → I3FitLineY(G4) → I4FitLineY(G5) → I5FitLineY(G6) → I6FitLineY(G7) → I7FitLineY(G8) → I8FitLineY(G9) → I9FitLineY(G10) → I10FitLineY(G11) → I11FitLineY(G12) → I12FitLineY(G13) → I13FitLineY(G14) → I14FitLineY(G15) → I15FitLineY(G16) → I16FitLineY(G17) → I17FitLineY(G18) → I18FitLineY(G19) → I19FitLineY(G20) → I20FitLineY(G21) → I21FitLineY(G22) → I22FitLineY(G23) → I23FitLineY(G24) → I24FitLineY(G25) → I25FitLineY(G26) → I26FitLineY(G27) → I27FitLineY(G28) → I28FitLineY(G29) → I29FitLineY(G30) → I30FitLineY(G31) → I31FitLineY(G32) → I32FitLineY(G33) → I33FitLineY(G34) → I34FitLineY(G35) → I35FitLineY(G36) → I36FitLineY(G37) → I37FitLineY(G38) → I38FitLineY(G39) → I39FitLineY(G40) → I40FitLineY(G41) → I41FitLineY(G42) → I42FitLineY(G43) → I43FitLineY(G44) → I44FitLineY(G45) → I45FitLineY(G46) → I46FitLineY(G47) → I47FitLineY(G48) → I48FitLineY(G49) → I49FitLineY(G50) → I50FitLineY(G51) → I51FitLineY(G52) → I52FitLineY(G53) → I53FitLineY(G54) → I54FitLineY(G55) → I55FitLineY(G56) → I56FitLineY(G57) → I57FitLineY(G58) → I58FitLineY(G59) → I59FitLineY(G60) → I60FitLineY(G61) → I61FitLineY(G62) → I62FitLineY(G63) → I63FitLineY(G64) → I64FitLineY(G65) → I65FitLineY(G66) → I66FitLineY(G67) → I67FitLineY(G68) → I68FitLineY(G69) → I69FitLineY(G70) → I70FitLineY(G71) → I71FitLineY(G72) → I72FitLineY(G73) → I73FitLineY(G74) → I74FitLineY(G75) → I75FitLineY(G76) → I76FitLineY(G77) → I77FitLineY(G78) → I78FitLineY(G79) → I79FitLineY(G80) → I80FitLineY(G81) → I81FitLineY(G82) → I82FitLineY(G83) → I83FitLineY(G84) → I84FitLineY(G85) → I85FitLineY(G86) → I86FitLineY(G87) → I87FitLineY(G88) → I88FitLineY(G89) → I89FitLineY(G90) → I90FitLineY(G91) → I91FitLineY(G92) → I92FitLineY(G93) → I93FitLineY(G94) → I94FitLineY(G95) → I95FitLineY(G96) → I96FitLineY(G97) → I97FitLineY(G98) → I98FitLineY(G99) → I99FitLineY(G100) → I100FitLineY(G101) → I101FitLineY(G102) → I102FitLineY(G103) → I103FitLineY(G104) → I104FitLineY(G105) → I105FitLineY(G106) → I106FitLineY(G107) → I107FitLineY(G108) → I108FitLineY(G109) → I109FitLineY(G110) → I110FitLineY(G111) → I111FitLineY(G112) → I112FitLineY(G113) → I113FitLineY(G114) → I114FitLineY(G115) → I115FitLineY(G116) → I116FitLineY(G117) → I117FitLineY(G118) → I118FitLineY(G119) → I119FitLineY(G120) → I120FitLineY(G121) → I121FitLineY(G122) → I122FitLineY(G123) → I123FitLineY(G124) → I124FitLineY(G125) → I125FitLineY(G126) → I126FitLineY(G127) → I127FitLineY(G128) → I128FitLineY(G129) → I129FitLineY(G130) → I130FitLineY(G131) → I131FitLineY(G132) → I132FitLineY(G133) → I133FitLineY(G134) → I134FitLineY(G135) → I135FitLineY(G136) → I136FitLineY(G137) → I137FitLineY(G138) → I138FitLineY(G139) → I139FitLineY(G140) → I140FitLineY(G141) → I141FitLineY(G142) → I142FitLineY(G143) → I143FitLineY(G144) → I144FitLineY(G145) → I145FitLineY(G146) → I146FitLineY(G147) → I147FitLineY(G148) → I148FitLineY(G149) → I149FitLineY(G150) → I150FitLineY(G151) → I151FitLineY(G152) → I152FitLineY(G153) → I153FitLineY(G154) → I154FitLineY(G155) → I155FitLineY(G156) → I156FitLineY(G157) → I157FitLineY(G158) → I158FitLineY(G159) → I159FitLineY(G160) → I160FitLineY(G161) → I161FitLineY(G162) → I162FitLineY(G163) → I163FitLineY(G164) → I164FitLineY(G165) → I165FitLineY(G166) → I166FitLineY(G167) → I167FitLineY(G168) → I168FitLineY(G169) → I169FitLineY(G170) → I170FitLineY(G171) → I171FitLineY(G172) → I172FitLineY(G173) → I173FitLineY(G174) → I174FitLineY(G175) → I175FitLineY(G176) → I176FitLineY(G177) → I177FitLineY(G178) → I178FitLineY(G179) → I179FitLineY(G180) → I180FitLineY(G181) → I181FitLineY(G182) → I182FitLineY(G183) → I183FitLineY(G184) → I184FitLineY(G185) → I185FitLineY(G186) → I186FitLineY(G187) → I187FitLineY(G188) → I188FitLineY(G189) → I189FitLineY(G190) → I190FitLineY(G191) → I191FitLineY(G192) → I192FitLineY(G193) → I193FitLineY(G194) → I194FitLineY(G195) → I195FitLineY(G196) → I196FitLineY(G197) → I197FitLineY(G198) → I198FitLineY(G199) → I199FitLineY(G200) → I200FitLineY(G201) → I201FitLineY(G202) → I202FitLineY(G203) → I203FitLineY(G204) → I204FitLineY(G205) → I205FitLineY(G206) → I206FitLineY(G207) → I207FitLineY(G208) → I208FitLineY(G209) → I209FitLineY(G210) → I210FitLineY(G211) → I211FitLineY(G212) → I212FitLineY(G213) → I213FitLineY(G214) → I214FitLineY(G215) → I215FitLineY(G216) → I216FitLineY(G217) → I217FitLineY(G218) → I218FitLineY(G219) → I219FitLineY(G220) → I220FitLineY(G221) → I221FitLineY(G222) → I222FitLineY(G223) → I223FitLineY(G224) → I224FitLineY(G225) → I225FitLineY(G226) → I226FitLineY(G227) → I227FitLineY(G228) → I228FitLineY(G229) → I229FitLineY(G230) → I230FitLineY(G231) → I231FitLineY(G232) → I232FitLineY(G233) → I233FitLineY(G234) → I234FitLineY(G235) → I235FitLineY(G236) → I236FitLineY(G237) → I237FitLineY(G238) → I238FitLineY(G239) → I239FitLineY(G240) → I240FitLineY(G241) → I241FitLineY(G242) → I242FitLineY(G243) → I243FitLineY(G244) → I244FitLineY(G245) → I245FitLineY(G246) → I246FitLineY(G247) → I247FitLineY(G248) → I248FitLineY(G249) → I249FitLineY(G250) → I250Histogram(false, Classes[{H1, H2, H3, H4, H5, H6, H7, H8, H9, H10, H11, H12, H13, H14, H15, H16, H17, H18, H19, H20, H21, H22, H23, H24, H25, H26, H27, H28, H29, H30, H31, H32, H33, H34, H35, H36, H37, H38, H39, H40, H41, H42, H43, H44, H45, H46, H47, H48, H49, H50, H51, H52, H53, H54, H55, H56, H57, H58, H59, H60, H61, H62, H63, H64, H65, H66, H67, H68, H69, H70, H71, H72, H73, H74, H75, H76, H77, H78, H79, H80, H81, H82, H83, H84, H85, H86, H87, H88, H89, H90, H91, H92, H93, H94, H95, H96, H97, H98, H99, H100, H101, H102, H103, H104, H105, H106, H107, H108, H109, H110, H111, H112, H113, H114, H115, H116, H117, H118, H119, H120, H121, H122, H123, H124, H125, H126, H127, H128, H129, H130, H131, H132, H133, H134, H135, H136, H137, H138, H139, H140, H141, H142, H143, H144, H145, H146, H147, H148, H149, H150, H151, H152, H153, H154, H155, H156, H157, H158, H159, H160, H161, H162, H163, H164, H165, H166, H167, H168, H169, H170, H171, H172, H173, H174, H175, H176, H177, H178, H179, H180, H181, H182, H183, H184, H185, H186, H187, H188, H189, H190, H191, H192, H193, H194, H195, H196, H197, H198, H199, H200, H201, H202, H203, H204, H205, H206, H207, H208, H209, H210, H211, H212, H213, H214, H215, H216, H217, H218, H219, H220, H221, H222, H223, H224, H225, H226, H227, H228, H229, H230, H231, H232, H233, H234, H235, H236, H237, H238, H239, H240, H241, H242, H243, H244, H245, H246, H247, H248, H249, H250}, 0, 0.05], {H1, H2, H3, H4, H5, H6, H7, H8, H9, H10, H11, H12, H13, H14, H15, H16, H17, H18, H19, H20, H21, H22, H23, H24, H25, H26, H27, H28, H29, H30, H31, H32, H33, H34, H35, H36, H37, H38, H39, H40, H41, H42, H43, H44, H45, H46, H47, H48, H49, H50, H51, H52, H53, H54, H55, H56, H57, H58, H59, H60, H61, H62, H63, H64, H65, H66, H67, H68, H69, H70, H71, H72, H73, H74, H75, H76, H77, H78, H79, H80, H81, H82, H83, H84, H85, H86, H87, H88, H89, H90, H91, H92, H93, H94, H95, H96, H97, H98, H99, H100, H101, H102, H103, H104, H105, H106, H107, H108, H109, H110, H111, H112, H113, H114, H115, H116, H117, H118, H119, H120, H121, H122, H123, H124, H125, H126, H127, H128, H129, H130, H131, H132, H133, H134, H135, H136, H137, H138, H139, H140, H141, H142, H143, H144, H145, H146, H147, H148, H149, H150, H151, H152, H153, H154, H155, H156, H157, H158, H159, H160, H161, H162, H163, H164, H165, H166, H167, H168, H169, H170, H171, H172, H173, H174, H175, H176, H177, H178, H179, H180, H181, H182, H183, H184, H185, H186, H187, H188, H189, H190, H191, H192, H193, H194, H195, H196, H197, H198, H199, H200, H201, H202, H203, H204, H205, H206, H207, H208, H209, H210, H211, H212, H213, H214, H215, H216, H217, H218, H219, H220, H221, H222, H223, H224, H225, H226, H227, H228, H229, H230, H231, H232, H233, H234, H235, H236, H237, H238, H239, H240, H241, H242, H243, H244, H245, H246, H247, H248, H249, H250}, true, -1) → eSD(Sequence[y(Element[G1, p]) - I1(x(Element[G1, p])), p, 1, 30]) → fSD(E1:E250) → SDResiduals
AI Drawing Prompt Reference
Create a scatter plot with 30 sets of normally distributed random data points, calculate and draw the best fit line, display the standard deviation and sample mean of the data points, and use a histogram to show the data distribution to explore the linear relationship and correlation coefficient between the data.
The prompt above was compiled from the original drawing commands and is for reference only.