tzeg6@T+ f,c>o⌻wRW/ ‹KgMzPny\F7nXoāKJg EB? Cez>^^$/fЁ1. ?c6ir;*{4N;@a-ɉ53j`?<:A0׶,)ՈGsB =- lN i|E2ZyCFaj^{| o/Ly# dRv{dr_m‡uzND5f BBEm:r.۟v1h!\+(E _"Il̚TZeyZw FGd A$Bq񏛩F ϰC2Ď;}4h9҃j1~co$v27#7ύ֕0x^3/#_:Ҧv- ["$ k|B]RW8Q,cz4L4e 'ݲ%/@{'I_N U̒% l\1Bted/A|#4/]];OǛ)̙oDY#|qub 6.]Y1 Y/ʟ(9h\І+2F{Gug>#.~.Krh D2Vh(2\)d8+VZB]RW8Q,cz4L4e 2=3ވІqW[=?aB]RW8Q,cz4L4e aU Y$.q[StR9'(TMk?*N(=coָ7($3+4W\mbU6 dܠUxJ b?eQA9ǩtShck=<1I F &m-郃A"M$41HL`H$־HxnR6<\7JĨ}`݈K 74\ 5WCG샻F}L`IE{us<KW!:da\[3/ڡ  V(ˡŮxܧю> ʕeY3-h9 |z>H:h"rduh)6J7YoK >;+W/YB.7%ab?&M] ӝEl\ !*ZgUd*Į&rkKeB8Ӻ.1b$FW+QˏЌ(:͟ԟQ .rUje96Go pkVGg}u+cx!ٲ'm .(5-p}D {XáS8KIKq+ ~^k fF7%'Bs*o3Tث8nn&,`\fQ΍Dd[ 9aH6y.@' +Q| B?}GLR^W>L}ñ \ ~.(9>R!8_̀KcSI)?:>qm>Zi^!1Ă%Nf/'aV? =Q ҆,,v$go]KxV!KkU|fq^Vg}'ADo* ~X<?$U?4;%) &$$ꇇwe6mmp:4Slu.<4hh#N!1y 3LX91Tnz@G2}I'7Ez^ +n;X޸ a8Ûʔ}upⶖE%w7_Q$ߟe0-"0]$SIsƣȯsL!#T̰"#=& >]8F'EX3m}MRES&#Jz,2Ŝ=g0 tJn ^q9/3f-+L}3B;ҫȖ9V>B)x%Bf!h|#U/@}~dDs])H\-کuF'FG,i$݈ nLfBmr kYwLBU C,%_~ ik7JoFP>eNC]u1ݕbY`!gmTI1AYd?AOtצYQx9P12v)zz4 jԛu!Fy S_M'zv6Uz44< -Ԇ&*M%ћϒH.X;:STE~0GJİ KQ>.Ww>̓hmj) 6|@.Ez n1띴pv*Š;ȫi6IKwd{ygXV1n&f), S6eźU7KŎ_VYu]pIc`;Mr'NiHG}/xQ瑄&XL׎g:tٛ/d8mGKImo6VzEeQ-)[^R*Bذ1"ٌ'?1Sp1t3ZcJT003lLle<`CΜ~ 0YGYe3PW8rоmZ^ }nH,|hrn-folder-open"> JAMA For an m-by-n matrix A with m >= n, the singular value decomposition is an m-by-n orthogonal matrix U, an n-by-n diagonal matrix S, and an n-by-n orthogonal matrix V so that A = U*S*V'
  •  JAMA Pythagorean Theorem: a = 3 b = 4 r = sqrt(square(a) + square(b)) r = 5 r = sqrt(a^2 + b^2) without under/overflow
  •  PHPExcel
    • Back to top  

    PHPExcel_Polynomial_Best_Fit

    category PHPExcel
    package PHPExcel_Shared_Trend
    copyright Copyright (c) 2006 - 2014 PHPExcel (http://www.codeplex.com/PHPExcel)

     Methods

    Define the regression and calculate the goodness of fit for a set of X and Y data values

    __construct(int $order, float[] $yValues, float[] $xValues, boolean $const) 

    Parameters

    $order

    int

    Order of Polynomial for this regression

    $yValues

    float[]

    The set of Y-values for this regression

    $xValues

    float[]

    The set of X-values for this regression

    $const

    boolean

    getBestFitType() 

    getBestFitType() 
    Inherited
    inherited_from \PHPExcel_Best_Fit::getBestFitType()

    getCoefficients() 

    getCoefficients($dp) 

    Parameters

    $dp

    getCorrelation() 

    getCorrelation($dp) 
    Inherited
    inherited_from \PHPExcel_Best_Fit::getCorrelation()

    Parameters

    $dp

    getCovariance() 

    getCovariance($dp) 
    Inherited
    inherited_from \PHPExcel_Best_Fit::getCovariance()

    Parameters

    $dp

    getDFResiduals() 

    getDFResiduals($dp) 
    Inherited
    inherited_from \PHPExcel_Best_Fit::getDFResiduals()

    Parameters

    $dp

    Return the Equation of the best-fit line

    getEquation(int $dp) : string

    Parameters

    $dp

    int

    Number of places of decimal precision to display

    Returns

    string

    getError() 

    getError() 
    Inherited
    inherited_from \PHPExcel_Best_Fit::getError()

    getF() 

    getF($dp) 
    Inherited
    inherited_from \PHPExcel_Best_Fit::getF()

    Parameters

    $dp

    Return the goodness of fit for this regression

    getGoodnessOfFit(int $dp) : float
    Inherited
    inherited_from \PHPExcel_Best_Fit::getGoodnessOfFit()

    Parameters

    $dp

    int

    Number of places of decimal precision to return

    Returns

    float

    getGoodnessOfFitPercent() 

    getGoodnessOfFitPercent($dp) 
    Inherited
    inherited_from \PHPExcel_Best_Fit::getGoodnessOfFitPercent()

    Parameters

    $dp

    Return the Value of X where it intersects Y = 0

    getIntersect(int $dp) : string
    Inherited
    inherited_from \PHPExcel_Best_Fit::getIntersect()

    Parameters

    $dp

    int

    Number of places of decimal precision to display

    Returns

    string

    Return the standard error of the Intersect

    getIntersectSE(int $dp) : string
    Inherited
    inherited_from \PHPExcel_Best_Fit::getIntersectSE()

    Parameters

    $dp

    int

    Number of places of decimal precision to display

    Returns

    string

    Return the order of this polynomial

    getOrder() : int

    Returns

    int

    getSSRegression() 

    getSSRegression($dp) 
    Inherited
    inherited_from \PHPExcel_Best_Fit::getSSRegression()

    Parameters

    $dp

    getSSResiduals() 

    getSSResiduals($dp) 
    Inherited
    inherited_from \PHPExcel_Best_Fit::getSSResiduals()

    Parameters

    $dp

    Return the Slope of the line

    getSlope(int $dp) : string

    Parameters

    $dp

    int

    Number of places of decimal precision to display

    Returns

    string

    Return the standard error of the Slope

    getSlopeSE(int $dp) : string
    Inherited
    inherited_from \PHPExcel_Best_Fit::getSlopeSE()

    Parameters

    $dp

    int

    Number of places of decimal precision to display

    Returns

    string

    Return the standard deviation of the residuals for this regression

    getStdevOfResiduals(int $dp) : float
    Inherited
    inherited_from \PHPExcel_Best_Fit::getStdevOfResiduals()

    Parameters

    $dp

    int

    Number of places of decimal precision to return

    Returns

    float

    Return the X-Value for a specified value of Y

    getValueOfXForY(float $yValue) : float

    Parameters

    $yValue

    float

    Y-Value

    Returns

    floatX-Value

    Return the Y-Value for a specified value of X

    getValueOfYForX(float $xValue) : float

    Parameters

    $xValue

    float

    X-Value

    Returns

    floatY-Value

    Return the original set of X-Values

    getXValues() : float[]
    Inherited
    inherited_from \PHPExcel_Best_Fit::getXValues()

    Returns

    float[]X-Values

    getYBestFitValues() 

    getYBestFitValues() 
    Inherited
    inherited_from \PHPExcel_Best_Fit::getYBestFitValues()

    _calculateGoodnessOfFit() 

    _calculateGoodnessOfFit($sumX, $sumY, $sumX2, $sumY2, $sumXY, $meanX, $meanY, $const) 
    Inherited
    inherited_from \PHPExcel_Best_Fit::_calculateGoodnessOfFit()

    Parameters

    $sumX

    $sumY

    $sumX2

    $sumY2

    $sumXY

    $meanX

    $meanY

    $const

    _leastSquareFit() 

    _leastSquareFit($yValues, $xValues, $const) 
    Inherited
    inherited_from \PHPExcel_Best_Fit::_leastSquareFit()

    Parameters

    $yValues

    $xValues

    $const

    Execute the regression and calculate the goodness of fit for a set of X and Y data values

    _polynomial_regression(int $order, float[] $yValues, float[] $xValues, boolean $const) 

    Parameters

    $order

    int

    Order of Polynomial for this regression

    $yValues

    float[]

    The set of Y-values for this regression

    $xValues

    float[]

    The set of X-values for this regression

    $const

    boolean

     Properties

     

    $_DFResiduals 
    Inherited
    inherited_from \PHPExcel_Best_Fit::$$_DFResiduals
     

    $_F 
    Inherited
    inherited_from \PHPExcel_Best_Fit::$$_F
     

    $_SSRegression 
    Inherited
    inherited_from \PHPExcel_Best_Fit::$$_SSRegression
     

    $_SSResiduals 
    Inherited
    inherited_from \PHPExcel_Best_Fit::$$_SSResiduals
     

    $_Xoffset 
    Inherited
    inherited_from \PHPExcel_Best_Fit::$$_Xoffset
     

    $_Yoffset 
    Inherited
    inherited_from \PHPExcel_Best_Fit::$$_Yoffset
     

    $_adjustToZero : boolean
    Inherited
    inherited_from \PHPExcel_Best_Fit::$$_adjustToZero
     

    $_bestFitType : string
     

    $_correlation 
    Inherited
    inherited_from \PHPExcel_Best_Fit::$$_correlation
     

    $_covariance 
    Inherited
    inherited_from \PHPExcel_Best_Fit::$$_covariance
     

    $_error : boolean
    Inherited
    inherited_from \PHPExcel_Best_Fit::$$_error
     

    $_goodnessOfFit 
    Inherited
    inherited_from \PHPExcel_Best_Fit::$$_goodnessOfFit
     

    $_intersect 
    Inherited
    inherited_from \PHPExcel_Best_Fit::$$_intersect
     

    $_intersectSE 
    Inherited
    inherited_from \PHPExcel_Best_Fit::$$_intersectSE
     

    $_order : int
    protected
     

    $_slope 
    Inherited
    inherited_from \PHPExcel_Best_Fit::$$_slope
     

    $_slopeSE 
    Inherited
    inherited_from \PHPExcel_Best_Fit::$$_slopeSE
     

    $_stdevOfResiduals 
    Inherited
    inherited_from \PHPExcel_Best_Fit::$$_stdevOfResiduals
     

    $_valueCount : int
    Inherited
    inherited_from \PHPExcel_Best_Fit::$$_valueCount
     

    $_xValues : float[]
    Inherited
    inherited_from \PHPExcel_Best_Fit::$$_xValues
     

    $_yBestFitValues : float[]
    Inherited
    inherited_from \PHPExcel_Best_Fit::$$_yBestFitValues
     

    $_yValues : float[]
    Inherited
    inherited_from \PHPExcel_Best_Fit::$$_yValues