Interpolation.QuadraticRegression (Strange Eons API)

java.lang.Object
- ca.cgjennings.math.Interpolation.InterpolatedFunction
- - ca.cgjennings.math.Interpolation.QuadraticRegression

All Implemented Interfaces:

Fn, UnivariatePolynomial

Enclosing class:

Interpolation
```
public static class Interpolation.QuadraticRegression
extends Interpolation.InterpolatedFunction
implements UnivariatePolynomial
```
A QuadraticRegression function finds the quadratic curve of best fit for a set of (usually noisy) data points.

Field Summary
- Fields inherited from interface ca.cgjennings.math.Fn
  IDENTITY

Constructor Summary

Constructors
Constructor Description

QuadraticRegression(double[] x, double[] y)

Method Summary

All Methods Instance Methods Concrete Methods
Modifier and Type	Method	Description
`double`	`f(double x)`	Returns the y-value of the interpolation function given an x-value.
`double`	`getCoefficient(int n)`	Returns the n^th coefficient for this polynomial.
`int`	`getNumCoefficients()`	Returns the number of coefficients for this polynomial.

Methods inherited from class ca.cgjennings.math.Interpolation.InterpolatedFunction
checkPoints

Methods inherited from class java.lang.Object
clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

- Constructor Detail
  - QuadraticRegression
```
public QuadraticRegression(double[] x,
                           double[] y)
```
- Method Detail
  - f
```
public double f(double x)
```
    Description copied from class: Interpolation.InterpolatedFunction
    
    Returns the y-value of the interpolation function given an x-value.
    
    Specified by:
    
    f in interface Fn
    
    Specified by:
    
    f in class Interpolation.InterpolatedFunction
    
    Parameters:
    
    x - the value to evaluate the curve function at
    
    Returns:
    
    f(x), where f is a function for the interpolating curve
  - getNumCoefficients
```
public int getNumCoefficients()
```
    Description copied from interface: UnivariatePolynomial
    
    Returns the number of coefficients for this polynomial. This is not the same as the degree, since the high coefficients may be zero; it simply indicates the highest currently possible coefficient in this implementation.
    
    Specified by:
    
    getNumCoefficients in interface UnivariatePolynomial
  - getCoefficient
```
public double getCoefficient(int n)
```
    Returns the n^th coefficient for this polynomial. The formula for this interpolator's curve is:
    f(x) = getCoefficient(2) * x^2 * getCoefficient(1) * x + getCoefficient(0)
    Specified by:
    
    getCoefficient in interface UnivariatePolynomial