RTO (FSharp.Stats)

RTO Module

Namespace: FSharp.Stats.Fitting
Assembly: FSharp.Stats.dll
Parent Module: Linear

Fits straight regression lines through the origin f(x) = bx.

Functions and values

Function or value	Description
`coefficient xData yData` Full Usage: `coefficient xData yData` Parameters: xData : `seq<float>` - vector of x values yData : `seq<float>` - vector of y values Returns: `float` Slope of the regression line through the origin	Calculates the slope of a regression line through the origin xData : `seq<float>` vector of x values yData : `seq<float>` vector of y values Returns: `float` Slope of the regression line through the origin Example `// e.g. days since a certain event let xData = vector [\|0.;1.;2.;3.;4.;5.;\|] // some measured feature, that theoretically is zero at day 0 let yData = vector [\|1.;5.;9.;13.;17.;18.;\|] // Estimate the slope of the regression line. let coefficients = LinearRegression.OrdinaryLeastSquares.Linear.RTO.coefficient xData yData`
`coefficientOfVector xData yData` Full Usage: `coefficientOfVector xData yData` Parameters: xData : `Vector<float>` - vector of x values yData : `Vector<float>` - vector of y values Returns: `float` Slope of the regression line through the origin	Calculates the slope of a regression line through the origin xData : `Vector<float>` vector of x values yData : `Vector<float>` vector of y values Returns: `float` Slope of the regression line through the origin Example `// e.g. days since a certain event let xData = vector [\|0.;1.;2.;3.;4.;5.;\|] // some measured feature, that theoretically is zero at day 0 let yData = vector [\|1.;5.;9.;13.;17.;18.;\|] // Estimate the slope of the regression line. let coefficients = LinearRegression.OrdinaryLeastSquares.Linear.coefficient xData yData`
`fit coef x` Full Usage: `fit coef x` Parameters: coef : `float` - The functions slope x : `float` - x value of which the corresponding y value should be predicted Returns: `float` predicted y value	Predicts the y value for a given slope and x value (intercept=0) coef : `float` The functions slope x : `float` x value of which the corresponding y value should be predicted Returns: `float` predicted y value Example `let mySlope = 17.8 // Returns predicted y value at x=6 using a line with intercept=0 and slope=17.8 LinearRegression.OrdinaryLeastSquares.Linear.RTO.fit mySlope 6.`
`fitFunc coef x` Full Usage: `fitFunc coef x` Parameters: coef : `float` - The functions slope x : `float` Returns: `float` Function that takes a x value and returns the predicted y value	Returns the regression function of a line through the origin coef : `float` The functions slope x : `float` Returns: `float` Function that takes a x value and returns the predicted y value Example `let mySlope = 17.8 // get the f�tting function that fits through the origin let myF = LinearRegression.OrdinaryLeastSquares.Linear.RTO.fitFunc mySlope // Returns predicted y value at x=6 using a line with intercept=0 and slope=17.8 myF 6.`