Curves de regresión

Trend lines can be added to all 2D chart types except for Pie and Stock charts.

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Choose Insert - Trend Line (Charts)


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If you insert a trend line to a chart type that uses categories, like Line or Column, then the numbers 1, 2, 3, are used as x-values to calculate the trend line. For such charts the XY chart type might be more suitable.


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A trend line is shown in the legend automatically. Its name can be defined in options of the trend line.


La curva de regresión tien el mesmu color a la serie de datos correspondiente. Pa camudar les propiedaes de llinia, escoyer la curva de regresión y escoyer Formatu - Formatu de seleición- Llinia.

Trend Line Equation and Coefficient of Determination

When the chart is in edit mode, LibreOffice gives you the equation of the trend line and the coefficient of determination R2, even if they are not shown: click on the trend line to see the information in the status bar.

To show the trend line equation, select the trend line in the chart, right-click to open the context menu, and choose Insert Trend Line Equation.

To change format of values (use less significant digits or scientific notation), select the equation in the chart, right-click to open the context menu, and choose Format Trend Line Equation - Numbers.

Default equation uses x for abscissa variable, and f(x) for ordinate variable. To change these names, select the trend line, choose Format - Format Selection – Type and enter names in X Variable Name and Y Variable Name edit boxes.

To show the coefficient of determination R2, select the equation in the chart, right-click to open the context menu, and choose Insert R2.

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If intercept is forced, coefficient of determination R2 is not calculated in the same way as with free intercept. R2 values can not be compared with forced or free intercept.


Trend Lines Curve Types

The following regression types are available:

Restricciones

El cálculu de la curva de regresión namái considera pares de datos colos siguientes valores:

Tienes De tresformar los tos datos; ye meyor trabayar nuna copia de los datos orixinales y tresformar los datos copiaos.

Calculate Parameters in Calc

Pue calcular los parámetros usando les funciones de Calc siguientes.

La ecuación de regresión llinial

La regresión llinial sigue la ecuación y=m*x+b.

m = PINDIU(Datu_Y;Datu_X)

b = INTERSECCIÓN.EXA(Datos_Y ;Datos_X)

Calcula'l coeficiente d'una determinación por

r2 = RSQ(Data_Y;Data_X)

Besides m, b and r2 the array function LINEST provides additional statistics for a regression analysis.

The logarithmic regression equation

The logarithmic regression follows the equation y=a*ln(x)+b.

a = PINDIU(Datos_Y;LN(Datos_X))

b = INTERSECCIÓN.EXA(Datos_Y ;LN(Datos_X))

r2 = RSQ(Data_Y;LN(Data_X))

La ecuación de regresión esponencial

Pa les llinies d'enclín esponenciales asocede un tresformamientu a un modelu llinial. L'axuste óptimo de la curva rellacionar col modelu llinial y les resultancies interpretar en forma acorde.

The exponential regression follows the equation y=b*exp(a*x) or y=b*mx, which is transformed to ln(y)=ln(b)+a*x or ln(y)=ln(b)+ln(m)*x respectively.

a = PINDIU(LN(Datos_Y);Datos_X)

Les variables pa la segunda variación son calculaes asina:

m = EXP(PINDIU(LN(Datos_Y);Datos_X))

b = EXP(INTERSECCIÓN.EXA(LN(Datos_Y);Datos_X))

Calcula'l coeficiente d'una determinación por

r2 = RSQ(LN(Data_Y);Data_X)

Besides m, b and r2 the array function LOGEST provides additional statistics for a regression analysis.

La ecuación de regresión potencial

For power regression curves a transformation to a linear model takes place. The power regression follows the equation y=b*xa, which is transformed to ln(y)=ln(b)+a*ln(x).

a = PINDIU(LN(Datos_Y);LN(Datos_X))

b = EXP(INTERSECCIÓN.EXA(LN(Datos_Y);LN(Datos_X))

r2 = RSQ(LN(Data_Y);LN(Data_X))

La ecuación de regresión polínominal

For polynomial regression curves a transformation to a linear model takes place.

Create a table with the columns x, x2, x3, … , xn, y up to the desired degree n.

Use the formula =LINEST(Data_Y,Data_X) with the complete range x to xn (without headings) as Data_X.

The first row of the LINEST output contains the coefficients of the regression polynomial, with the coefficient of xn at the leftmost position.

The first element of the third row of the LINEST output is the value of r2. See the LINEST function for details on proper use and an explanation of the other output parameters.

X/Y Error Bars

LINEST function

LOGEST function

SLOPE function

INTERCEPT function

RSQ function

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