Druyd:Knowledge

Straight

Storyboard

>Model

ID:(614, 0)

Straight

Description

Variables

Symbol

Text

Variable

Value

Units

Calculate

MKS Value

MKS Units

$x_0$

x_0

Coordenada fija en $X$

$y_0$

y_0

Coordenada fija en $Y$

$N$

Número de Mediciones

$a$

Operation of the Sum

$b$

Opposite cathetus

$S_{x2}$

S_x2

Suma de Productos $X^2$

$S_{xy}$

S_xy

Suma de Productos XY

Calculations

Equation

Number

First, select the equation:

, then, select the variable:

Symbol

Equation

Solved

Translated

Calculations

Symbol

Equation

Solved

Translated

Variable

Given

Calculate

Target :

Equation

To be used

Equations

$\sum_i (y_i-ax_i-b)^2 = min$

sum_i (y_i-ax_i-b)^2 = min

(ID 6890)

$a=\displaystyle\frac{NS_{xy}-S_xS_y}{NS_{xx}-S_x^2}$

a =( N * S_xy - S_x * S_y )/( N * S_xx - S_x ^2)

(ID 6891)

$ b =\displaystyle\frac{ S_{x2} S_y - S_x S_{xy}}{ N S_{x2} - S_x ^2}$

b =( S_x2 * S_y - S_x * S_xy )/( N * S_x2 - S_x ^2)

(ID 6892)

$ \epsilon =\displaystyle\frac{(( N S_{x2} - S_x ^2) S_{y2} - S_{x2} S_y ^2+2 S_x S_{xy} S_y - N S_{xy} ^2}{ N ( N S_{x2} - S_x ^2)}$

epsilon =(( N * S_x2 - S_x ^2)* S_y2 - S_x2 * S_y ^2+2* S_x * S_xy * S_y - N * S_xy ^2)/( N * S_x2 - S_x ^2)

(ID 9441)

Examples

Simulator

The attached demo allows you to make a least-squares adjustment of a line.

(ID 8081)

ID:(614, 0)