Trendijooned

Trendijooned saab lisada kÔikidele tasapinnalistele diagrammidele, vÀlja arvatud sektor- ja börsidiagrammid.

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Vali Lisamine - Trendijoon (diagrammides)


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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.


Trendijoon on sellele vastava andmejadaga sama vÀrvi. Joone omaduste muutmiseks vali esmalt trendijoon ja seejÀrel vali Vormindus - Vorminda valik - Joon.

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.

Trendijoone vĂ”rrandi kuvamiseks vali diagrammil trendijoon, ava parempoolse nupu klĂ”psuga kontekstimenĂŒĂŒ ja vali Lisa trendijoone vĂ”rrand.

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:

Piirangud

Trendijoonte arvutamisel vÔetakse arvesse ainult jÀrgnevate vÀÀrtustega andmete paare:

Sa peaksid oma andmed vastavalt teisendama, kÔige kasulikum oleks töötada originaalandmete koopiaga ja teisendada neid.

Calculate Parameters in Calc

Parameetrite arvutamiseks saab kasutada Calc'i funktsioone, nagu jÀrgnevalt kirjeldatud.

Lineaarse regressiooni vÔrrand

Lineaarne regressioon vastab vÔrrandile y=m*x+b.

m = SLOPE(y-andmed;x-andmed)

b = INTERCEPT(y-andmed ;x-andmed)

Ahenduskoefitsendi arvutamiseks saab kasutada valemit

r2 = RSQ(y-andmed;x-andmed)

Lisaks m, b ja r2 vÀÀrtustele pakub massiivi funktsioon LINEST tĂ€iendavat regressioonianalĂŒĂŒsi statistikat.

Logaritmilise regressiooni vÔrrand

Logaritmiline regressioon vastab vÔrrandile y=a*ln(x)+b.

a = SLOPE(y-andmed;LN(x-andmed))

b = INTERCEPT(y-andmed ;LN(x-andmed))

r2 = RSQ(LN(y-andmed);LN(x-andmed))

Eksponentsiaalse regressiooni vÔrrand

Eksponentsiaalsete trendijoonte puhul toimub teisendamine lineaarsele kujule. KÔvera optimaalne sobitamine sÔltub lineaarsest kujust ja tulemusi tÔlgendatatakse vastavalt.

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 = SLOPE(LN(y-andmed);x-andmed)

Teise variandi muutujad arvutatakse jÀrgnevalt:

m = EXP(SLOPE(LN(y-andmed);x-andmed))

b = EXP(INTERCEPT(LN(y-andmed);x-andmed))

Ahenduskoefitsendi arvutamiseks saab kasutada valemit

r2 = RSQ(LN(y-andmed);x-andmed)

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

Astmefunktsiooniga mÀÀratud regressiooni vÔrrand

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 = SLOPE(LN(y-andmed);LN(x-andmed))

b = EXP(INTERCEPT(LN(y-andmed);LN(x-andmed))

r2 = RSQ(LN(y-andmed);LN(x-andmed))

PolĂŒnoomiga mÀÀratud regressiooni vĂ”rrand

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

Loo tabel veergudega x, x2, x3, 
 , xn, y kuni soovitud astmeni n.

Kasuta valemit =LINEST(y-andmed; x-andmed) kogu x-andmete vahemiku x kuni xn kohta (ilma pÀisteta).

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-veatulbad

LINEST funktsioon

LOGEST funktsioon

SLOPE funktsioon

INTERCEPT funktsioon

RSQ funktsioon