[JpGraph] Linear Regression petit probleme

bonjour,
j'ai le message d'erreur suivant que je ne sais pas comment resoudre :

Division by zero in C:\wamp\www\Dashboard\jpgraph-3.5.0b1\src\jpgraph_utils.inc.php on line 641

pour le code suivant

Code:

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// create the date require $_SERVER['DOCUMENT_ROOT'].'Dashboard/math/Forecast.php';   $Forecast = new PHPFinance\Forecast($barre);   $barre = $Forecast->exponentialSmoothing($this->tempsforcast,1); // create the time forcast month $datedebut = explode("-",$time[count($time)-1]);   for ($index = 0; $index < $this->tempsforcast; $index++) { $datedebut[0]+=1 ; if ($datedebut[0]>12 ) {$datedebut[0] = 1; $datedebut[1] += 1; }   $time [] = $datedebut[0]."-".$datedebut[1] ; }   // Create the regression line $lr = new LinearRegression($time,$barre);   list( $stderr, $corr ) = $lr->GetStat(); list( $xd, $yd ) = $lr->GetY(0,count($barre)); $lplot2 = new LinePlot($yd); $lplot2->SetLegend('extrapolation line'); $this->graph->Add($lplot2); $lplot2->SetWeight(2); $lplot2->SetColor('navy'); $this->graph->xaxis->SetTickLabels($time);

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contenu des tableaus :

Array ( [0] => 1-2013 [1] => 2-2013 [2] => 3-2013 [3] => 4-2013 [4] => 5-2013 [5] => 6-2013 [6] => 7-2013 [7] => 8-2013 [8] => 9-2013 [9] => 10-2013 [10] => 11-2013 [11] => 12-2013 [12] => 1-2014 [13] => 2-2014 [14] => 3-2014 [15] => 4-2014 [16] => 5-2014 [17] => 6-2014 )

Array ( [0] => 1 [1] => 1 [2] => 1 [3] => 1 [4] => 1 [5] => 1 [6] => 1 [7] => 1 [8] => 1 [9] => 1 [10] => 1 [11] => 1 [12] => 1 [13] => 1 [14] => 1 [15] => 1 [16] => 1 [17] => 1 )

merci d'avance

le problème est en ligne 641 et tu ne nous postes le code que de 1 à 29 ...

bonjour ,

ligne 641 c'est la librairie jggraph donc il doit pas venir de la le souci

Code:

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<?php /*=======================================================================  // File: JPGRAPH_UTILS.INC  // Description: Collection of non-essential "nice to have" utilities  // Created: 2005-11-20  // Ver: $Id: jpgraph_utils.inc.php 1777 2009-08-23 17:34:36Z ljp $  //  // Copyright (c) Asial Corporation. All rights reserved.  //========================================================================  */   //=================================================== // CLASS FuncGenerator // Description: Utility class to help generate data for function plots. // The class supports both parametric and regular functions. //=================================================== class FuncGenerator { private $iFunc='',$iXFunc='',$iMin,$iMax,$iStepSize;   function __construct($aFunc,$aXFunc='') { $this->iFunc = $aFunc; $this->iXFunc = $aXFunc; }   function E($aXMin,$aXMax,$aSteps=50) { $this->iMin = $aXMin; $this->iMax = $aXMax; $this->iStepSize = ($aXMax-$aXMin)/$aSteps;   if( $this->iXFunc != '' ) $t = 'for($i='.$aXMin.'; $i<='.$aXMax.'; $i += '.$this->iStepSize.') {$ya[]='.$this->iFunc.';$xa[]='.$this->iXFunc.';}'; elseif( $this->iFunc != '' ) $t = 'for($x='.$aXMin.'; $x<='.$aXMax.'; $x += '.$this->iStepSize.') {$ya[]='.$this->iFunc.';$xa[]=$x;} $x='.$aXMax.';$ya[]='.$this->iFunc.';$xa[]=$x;'; else JpGraphError::RaiseL(24001);//('FuncGenerator : No function specified. ');   @eval($t);   // If there is an error in the function specifcation this is the only // way we can discover that. if( empty($xa) || empty($ya) ) JpGraphError::RaiseL(24002);//('FuncGenerator : Syntax error in function specification ');   return array($xa,$ya); } }     //============================================================================= // CLASS DateScaleUtils // Description: Help to create a manual date scale //============================================================================= define('DSUTILS_MONTH',1); // Major and minor ticks on a monthly basis define('DSUTILS_MONTH1',1); // Major and minor ticks on a monthly basis define('DSUTILS_MONTH2',2); // Major ticks on a bi-monthly basis define('DSUTILS_MONTH3',3); // Major icks on a tri-monthly basis define('DSUTILS_MONTH6',4); // Major on a six-monthly basis define('DSUTILS_WEEK1',5); // Major ticks on a weekly basis define('DSUTILS_WEEK2',6); // Major ticks on a bi-weekly basis define('DSUTILS_WEEK4',7); // Major ticks on a quod-weekly basis define('DSUTILS_DAY1',8); // Major ticks on a daily basis define('DSUTILS_DAY2',9); // Major ticks on a bi-daily basis define('DSUTILS_DAY4',10); // Major ticks on a qoud-daily basis define('DSUTILS_YEAR1',11); // Major ticks on a yearly basis define('DSUTILS_YEAR2',12); // Major ticks on a bi-yearly basis define('DSUTILS_YEAR5',13); // Major ticks on a five-yearly basis     class DateScaleUtils { public static $iMin=0, $iMax=0;   private static $starthour,$startmonth, $startday, $startyear; private static $endmonth, $endyear, $endday; private static $tickPositions=array(),$minTickPositions=array(); private static $iUseWeeks = true;   static function UseWeekFormat($aFlg) { self::$iUseWeeks = $aFlg; }   static function doYearly($aType,$aMinor=false) { $i=0; $j=0; $m = self::$startmonth; $y = self::$startyear;   if( self::$startday == 1 ) { self::$tickPositions[$i++] = mktime(0,0,0,$m,1,$y); } ++$m;     switch( $aType ) { case DSUTILS_YEAR1: for($y=self::$startyear; $y <= self::$endyear; ++$y ) { if( $aMinor ) { while( $m <= 12 ) { if( !($y == self::$endyear && $m > self::$endmonth) ) { self::$minTickPositions[$j++] = mktime(0,0,0,$m,1,$y); } ++$m; } $m=1; } self::$tickPositions[$i++] = mktime(0,0,0,1,1,$y); } break; case DSUTILS_YEAR2: $y=self::$startyear; while( $y <= self::$endyear ) { self::$tickPositions[$i++] = mktime(0,0,0,1,1,$y); for($k=0; $k < 1; ++$k ) { ++$y; if( $aMinor ) { self::$minTickPositions[$j++] = mktime(0,0,0,1,1,$y); } } ++$y; } break; case DSUTILS_YEAR5: $y=self::$startyear; while( $y <= self::$endyear ) { self::$tickPositions[$i++] = mktime(0,0,0,1,1,$y); for($k=0; $k < 4; ++$k ) { ++$y; if( $aMinor ) { self::$minTickPositions[$j++] = mktime(0,0,0,1,1,$y); } } ++$y; } break; } }   static function doDaily($aType,$aMinor=false) { $m = self::$startmonth; $y = self::$startyear; $d = self::$startday; $h = self::$starthour; $i=0;$j=0;   if( $h == 0 ) { self::$tickPositions[$i++] = mktime(0,0,0,$m,$d,$y); } $t = mktime(0,0,0,$m,$d,$y);   switch($aType) { case DSUTILS_DAY1: while( $t <= self::$iMax ) { $t = strtotime('+1 day',$t); self::$tickPositions[$i++] = $t; if( $aMinor ) { self::$minTickPositions[$j++] = strtotime('+12 hours',$t); } } break; case DSUTILS_DAY2: while( $t <= self::$iMax ) { $t = strtotime('+1 day',$t); if( $aMinor ) { self::$minTickPositions[$j++] = $t; } $t = strtotime('+1 day',$t); self::$tickPositions[$i++] = $t; } break; case DSUTILS_DAY4: while( $t <= self::$iMax ) { for($k=0; $k < 3; ++$k ) { $t = strtotime('+1 day',$t); if( $aMinor ) { self::$minTickPositions[$j++] = $t; } } $t = strtotime('+1 day',$t); self::$tickPositions[$i++] = $t; } break; } }   static function doWeekly($aType,$aMinor=false) { $hpd = 3600*24; $hpw = 3600*24*7; // Find out week number of min date $thursday = self::$iMin + $hpd * (3 - (date('w', self::$iMin) + 6) % 7); $week = 1 + (date('z', $thursday) - (11 - date('w', mktime(0, 0, 0, 1, 1, date('Y', $thursday)))) % 7) / 7; $daynumber = date('w',self::$iMin); if( $daynumber == 0 ) $daynumber = 7; $m = self::$startmonth; $y = self::$startyear; $d = self::$startday; $i=0;$j=0; // The assumption is that the weeks start on Monday. If the first day // is later in the week then the first week tick has to be on the following // week. if( $daynumber == 1 ) { self::$tickPositions[$i++] = mktime(0,0,0,$m,$d,$y); $t = mktime(0,0,0,$m,$d,$y) + $hpw; } else { $t = mktime(0,0,0,$m,$d,$y) + $hpd*(8-$daynumber); }   switch($aType) { case DSUTILS_WEEK1: $cnt=0; break; case DSUTILS_WEEK2: $cnt=1; break; case DSUTILS_WEEK4: $cnt=3; break; } while( $t <= self::$iMax ) { self::$tickPositions[$i++] = $t; for($k=0; $k < $cnt; ++$k ) { $t += $hpw; if( $aMinor ) { self::$minTickPositions[$j++] = $t; } } $t += $hpw; } }   static function doMonthly($aType,$aMinor=false) { $monthcount=0; $m = self::$startmonth; $y = self::$startyear; $i=0; $j=0;   // Skip the first month label if it is before the startdate if( self::$startday == 1 ) { self::$tickPositions[$i++] = mktime(0,0,0,$m,1,$y); $monthcount=1; } if( $aType == 1 ) { if( self::$startday < 15 ) { self::$minTickPositions[$j++] = mktime(0,0,0,$m,15,$y); } } ++$m;   // Loop through all the years included in the scale for($y=self::$startyear; $y <= self::$endyear; ++$y ) { // Loop through all the months. There are three cases to consider: // 1. We are in the first year and must start with the startmonth // 2. We are in the end year and we must stop at last month of the scale // 3. A year in between where we run through all the 12 months $stopmonth = $y == self::$endyear ? self::$endmonth : 12; while( $m <= $stopmonth ) { switch( $aType ) { case DSUTILS_MONTH1: // Set minor tick at the middle of the month if( $aMinor ) { if( $m <= $stopmonth ) { if( !($y==self::$endyear && $m==$stopmonth && self::$endday < 15) ) self::$minTickPositions[$j++] = mktime(0,0,0,$m,15,$y); } } // Major at month // Get timestamp of first hour of first day in each month self::$tickPositions[$i++] = mktime(0,0,0,$m,1,$y);   break; case DSUTILS_MONTH2: if( $aMinor ) { // Set minor tick at start of each month self::$minTickPositions[$j++] = mktime(0,0,0,$m,1,$y); }   // Major at every second month // Get timestamp of first hour of first day in each month if( $monthcount % 2 == 0 ) { self::$tickPositions[$i++] = mktime(0,0,0,$m,1,$y); } break; case DSUTILS_MONTH3: if( $aMinor ) { // Set minor tick at start of each month self::$minTickPositions[$j++] = mktime(0,0,0,$m,1,$y); } // Major at every third month // Get timestamp of first hour of first day in each month if( $monthcount % 3 == 0 ) { self::$tickPositions[$i++] = mktime(0,0,0,$m,1,$y); } break; case DSUTILS_MONTH6: if( $aMinor ) { // Set minor tick at start of each month self::$minTickPositions[$j++] = mktime(0,0,0,$m,1,$y); } // Major at every third month // Get timestamp of first hour of first day in each month if( $monthcount % 6 == 0 ) { self::$tickPositions[$i++] = mktime(0,0,0,$m,1,$y); } break; } ++$m; ++$monthcount; } $m=1; }   // For the case where all dates are within the same month // we want to make sure we have at least two ticks on the scale // since the scale want work properly otherwise if(self::$startmonth == self::$endmonth && self::$startyear == self::$endyear && $aType==1 ) { self::$tickPositions[$i++] = mktime(0 ,0 ,0, self::$startmonth + 1, 1, self::$startyear); }   return array(self::$tickPositions,self::$minTickPositions); }   static function GetTicks($aData,$aType=1,$aMinor=false,$aEndPoints=false) { $n = count($aData); return self::GetTicksFromMinMax($aData[0],$aData[$n-1],$aType,$aMinor,$aEndPoints); }   static function GetAutoTicks($aMin,$aMax,$aMaxTicks=10,$aMinor=false) { $diff = $aMax - $aMin; $spd = 3600*24; $spw = $spd*7; $spm = $spd*30; $spy = $spd*352;   if( self::$iUseWeeks ) $w = 'W'; else $w = 'd M';   // Decision table for suitable scales // First value: Main decision point // Second value: Array of formatting depending on divisor for wanted max number of ticks. <divisor><formatting><format-string>,.. $tt = array( array($spw, array(1,DSUTILS_DAY1,'d M',2,DSUTILS_DAY2,'d M',-1,DSUTILS_DAY4,'d M')), array($spm, array(1,DSUTILS_DAY1,'d M',2,DSUTILS_DAY2,'d M',4,DSUTILS_DAY4,'d M',7,DSUTILS_WEEK1,$w,-1,DSUTILS_WEEK2,$w)), array($spy, array(1,DSUTILS_DAY1,'d M',2,DSUTILS_DAY2,'d M',4,DSUTILS_DAY4,'d M',7,DSUTILS_WEEK1,$w,14,DSUTILS_WEEK2,$w,30,DSUTILS_MONTH1,'M',60,DSUTILS_MONTH2,'M',-1,DSUTILS_MONTH3,'M')), array(-1, array(30,DSUTILS_MONTH1,'M-Y',60,DSUTILS_MONTH2,'M-Y',90,DSUTILS_MONTH3,'M-Y',180,DSUTILS_MONTH6,'M-Y',352,DSUTILS_YEAR1,'Y',704,DSUTILS_YEAR2,'Y',-1,DSUTILS_YEAR5,'Y')));   $ntt = count($tt); $nd = floor($diff/$spd); for($i=0; $i < $ntt; ++$i ) { if( $diff <= $tt[$i][0] || $i==$ntt-1) { $t = $tt[$i][1]; $n = count($t)/3; for( $j=0; $j < $n; ++$j ) { if( $nd/$t[3*$j] <= $aMaxTicks || $j==$n-1) { $type = $t[3*$j+1]; $fs = $t[3*$j+2]; list($tickPositions,$minTickPositions) = self::GetTicksFromMinMax($aMin,$aMax,$type,$aMinor); return array($fs,$tickPositions,$minTickPositions,$type); } } } } }   static function GetTicksFromMinMax($aMin,$aMax,$aType,$aMinor=false,$aEndPoints=false) { self::$starthour = date('G',$aMin); self::$startmonth = date('n',$aMin); self::$startday = date('j',$aMin); self::$startyear = date('Y',$aMin); self::$endmonth = date('n',$aMax); self::$endyear = date('Y',$aMax); self::$endday = date('j',$aMax); self::$iMin = $aMin; self::$iMax = $aMax;   if( $aType <= DSUTILS_MONTH6 ) { self::doMonthly($aType,$aMinor); } elseif( $aType <= DSUTILS_WEEK4 ) { self::doWeekly($aType,$aMinor); } elseif( $aType <= DSUTILS_DAY4 ) { self::doDaily($aType,$aMinor); } elseif( $aType <= DSUTILS_YEAR5 ) { self::doYearly($aType,$aMinor); } else { JpGraphError::RaiseL(24003); } // put a label at the very left data pos if( $aEndPoints ) { $tickPositions[$i++] = $aData[0]; }   // put a label at the very right data pos if( $aEndPoints ) { $tickPositions[$i] = $aData[$n-1]; }   return array(self::$tickPositions,self::$minTickPositions); } }   //============================================================================= // Class ReadFileData //============================================================================= Class ReadFileData { //---------------------------------------------------------------------------- // Desciption: // Read numeric data from a file. // Each value should be separated by either a new line or by a specified // separator character (default is ','). // Before returning the data each value is converted to a proper float // value. The routine is robust in the sense that non numeric data in the // file will be discarded. // // Returns: // The number of data values read on success, FALSE on failure //---------------------------------------------------------------------------- static function FromCSV($aFile,&$aData,$aSepChar=',',$aMaxLineLength=1024) { $rh = @fopen($aFile,'r'); if( $rh === false ) { return false; } $tmp = array(); $lineofdata = fgetcsv($rh, 1000, ','); while ( $lineofdata !== FALSE) { $tmp = array_merge($tmp,$lineofdata); $lineofdata = fgetcsv($rh, $aMaxLineLength, $aSepChar); } fclose($rh);   // Now make sure that all data is numeric. By default // all data is read as strings $n = count($tmp); $aData = array(); $cnt=0; for($i=0; $i < $n; ++$i) { if( $tmp[$i] !== "" ) { $aData[$cnt++] = floatval($tmp[$i]); } } return $cnt; }   //---------------------------------------------------------------------------- // Desciption: // Read numeric data from a file. // Each value should be separated by either a new line or by a specified // separator character (default is ','). // Before returning the data each value is converted to a proper float // value. The routine is robust in the sense that non numeric data in the // file will be discarded. // // Options: // 'separator' => ',', // 'enclosure' => '"', // 'readlength' => 1024, // 'ignore_first' => false, // 'first_as_key' => false // 'escape' => '\', # PHP >= 5.3 only // // Returns: // The number of lines read on success, FALSE on failure //---------------------------------------------------------------------------- static function FromCSV2($aFile, &$aData, $aOptions = array()) { $aDefaults = array( 'separator' => ',', 'enclosure' => chr(34), 'escape' => chr(92), 'readlength' => 1024, 'ignore_first' => false, 'first_as_key' => false );   $aOptions = array_merge( $aDefaults, is_array($aOptions) ? $aOptions : array());   if( $aOptions['first_as_key'] ) { $aOptions['ignore_first'] = true; }   $rh = @fopen($aFile, 'r');   if( $rh === false ) { return false; }   $aData = array(); $aLine = fgetcsv($rh, $aOptions['readlength'], $aOptions['separator'], $aOptions['enclosure'] /*, $aOptions['escape'] # PHP >= 5.3 only */ );   // Use numeric array keys for the columns by default // If specified use first lines values as assoc keys instead $keys = array_keys($aLine); if( $aOptions['first_as_key'] ) { $keys = array_values($aLine); }   $num_lines = 0; $num_cols = count($aLine);   while ($aLine !== false) { if( is_array($aLine) && count($aLine) != $num_cols ) { JpGraphError::RaiseL(24004); // 'ReadCSV2: Column count mismatch in %s line %d' }   // fgetcsv returns NULL for empty lines if( !is_null($aLine) ) { $num_lines++;   if( !($aOptions['ignore_first'] && $num_lines == 1) && is_numeric($aLine[0]) ) { for( $i = 0; $i < $num_cols; $i++ ) { $aData[ $keys[$i] ][] = floatval($aLine[$i]); } } }   $aLine = fgetcsv($rh, $aOptions['readlength'], $aOptions['separator'], $aOptions['enclosure'] /*, $aOptions['escape'] # PHP >= 5.3 only*/ ); }   fclose($rh);   if( $aOptions['ignore_first'] ) { $num_lines--; }   return $num_lines; }   // Read data from two columns in a plain text file static function From2Col($aFile, $aCol1, $aCol2, $aSepChar=' ') { $lines = @file($aFile,FILE_IGNORE_NEW_LINES|FILE_SKIP_EMPTY_LINES); if( $lines === false ) { return false; } $s = '/[\s]+/'; if( $aSepChar == ',' ) { $s = '/[\s]*,[\s]*/'; } elseif( $aSepChar == ';' ) { $s = '/[\s]*;[\s]*/'; } foreach( $lines as $line => $datarow ) { $split = preg_split($s,$datarow); $aCol1[] = floatval(trim($split[0])); $aCol2[] = floatval(trim($split[1])); }   return count($lines); }   // Read data from one columns in a plain text file static function From1Col($aFile, $aCol1) { $lines = @file($aFile,FILE_IGNORE_NEW_LINES|FILE_SKIP_EMPTY_LINES); if( $lines === false ) { return false; } foreach( $lines as $line => $datarow ) { $aCol1[] = floatval(trim($datarow)); }   return count($lines); }   static function FromMatrix($aFile,$aSepChar=' ') { $lines = @file($aFile,FILE_IGNORE_NEW_LINES|FILE_SKIP_EMPTY_LINES); if( $lines === false ) { return false; } $mat = array(); $reg = '/'.$aSepChar.'/'; foreach( $lines as $line => $datarow ) { $row = preg_split($reg,trim($datarow)); foreach ($row as $key => $cell ) { $row[$key] = floatval(trim($cell)); } $mat[] = $row; } return $mat; }     }   define('__LR_EPSILON', 1.0e-8); //============================================================================= // Class LinearRegression //============================================================================= class LinearRegression { private $ix=array(),$iy=array(); private $ib=0, $ia=0; private $icalculated=false; public $iDet=0, $iCorr=0, $iStdErr=0;   public function __construct($aDataX,$aDataY) { if( count($aDataX) !== count($aDataY) ) { JpGraph::Raise('LinearRegression: X and Y data array must be of equal length.'); } $this->ix = $aDataX; $this->iy = $aDataY; }   public function Calc() {   $this->icalculated = true;   $n = count($this->ix); $sx2 = 0 ; $sy2 = 0 ; $sxy = 0 ; $sx = 0 ; $sy = 0 ;   for( $i=0; $i < $n; ++$i ) { $sx2 += $this->ix[$i] * $this->ix[$i]; $sy2 += $this->iy[$i] * $this->iy[$i]; $sxy += $this->ix[$i] * $this->iy[$i]; $sx += $this->ix[$i]; $sy += $this->iy[$i]; }   if( $n*$sx2 - $sx*$sx > __LR_EPSILON ) { $this->ib = ($n*$sxy - $sx*$sy) / ( $n*$sx2 - $sx*$sx ); $this->ia = ( $sy - $this->ib*$sx ) / $n;   $sx = $this->ib * ( $sxy - $sx*$sy/$n ); $sy2 = $sy2 - $sy*$sy/$n; $sy = $sy2 - $sx;   $this->iDet = $sx / $sy2; $this->iCorr = sqrt($this->iDet); if( $n > 2 ) { $this->iStdErr = sqrt( $sy / ($n-2) ); } else { $this->iStdErr = NAN ; } } else { $this->ib = 0; $this->ia = 0; }   }   public function GetAB() { if( $this->icalculated == false ) $this->Calc(); return array($this->ia, $this->ib); }   public function GetStat() { if( $this->icalculated == false ) $this->Calc(); return array($this->iStdErr, $this->iCorr, $this->iDet); }   public function GetY($aMinX, $aMaxX, $aStep=1) { if( $this->icalculated == false ) $this->Calc();   $yy = array(); $i = 0; for( $x=$aMinX; $x <= $aMaxX; $x += $aStep ) { $xx[$i ] = $x; $yy[$i++] = $this->ia + $this->ib * $x; }   return array($xx,$yy); }   }   ?>

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bonsoir.
c'est pourtant la lecture attentive du code source de la librairie qui explique le message d'erreur. tu as une division par zéro car $sy2 est effectivement nul en dernière ligne du code ci- dessous !
et ça vaut zéro parce que toutes les valeurs de ton tableau $barre sont identiques et egales à 1.
$sy2 c est la somme des carrés. des y. mais si les n y valent tous 1, cette somme vaut n.
Ensuite, $sy2 est recalculé 2 lignes au dessus : $sy2 - $sy*$sy/$n. Or, dans ton cas ou tous les y valent 1, $sy (la somme des y) vaut $n et donc $sy2 devient nul.

Code:

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for( $i=0; $i < $n; ++$i ) { $sx2 += $this->ix[$i] * $this->ix[$i]; $sy2 += $this->iy[$i] * $this->iy[$i]; $sxy += $this->ix[$i] * $this->iy[$i]; $sx += $this->ix[$i]; $sy += $this->iy[$i]; }   if( $n*$sx2 - $sx*$sx > __LR_EPSILON ) { $this->ib = ($n*$sxy - $sx*$sy) / ( $n*$sx2 - $sx*$sx ); $this->ia = ( $sy - $this->ib*$sx ) / $n;   $sx = $this->ib * ( $sxy - $sx*$sy/$n ); $sy2 = $sy2 - $sy*$sy/$n; $sy = $sy2 - $sx;   $this->iDet = $sx / $sy2;

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Bref, tu dois seulement changer les valeurs dont tu veux trouver l'approximation linéaire en des valeurs qui ne soient pas toutes identiques.

Yves
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comment je peut faire en sachant que les valeur des tableaux est crée suivant les parametres que l'utilisateur rentre et la lecture d'une db :(

1) tu vérifies ta formule mathématiquement.

2) tu fais un calcul d'erreur pour savoir quelle est l'erreur associée à chaque données, et tu rajoutes un bruit non significatif sur tes données.

3) tu es sur de vouloir une régression linéaire ? tes données ne ressemblent pas à des nuages de points... parce qu'une régression linaire pour partir d'une constante à 1 vers une régression linéaire .... tu peux t'offrir un cas spécial et mettre une simple ligne quand le minorant = le majorant.

je pense oui car dans certain ca speciaux j'ai le souci la sinon dans les autres cas j'ai des donnee qui augemente et diminue et comme on ma demander de faire l'equivalent de la trendline sur excel et ensuite de faire la prevision de cette ligne dans les 6 mois suivant