Tuesday, January 17, 2017

Equations for calculating trendlines

Equations for calculating trendlines

Linear

Calculates the least squares fit for a line represented by the following equation:

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where m is the slope and b is the intercept.

Polynomial

Calculates the least squares fit through points by using the following equation:

equation

where b and Variable are constants.

Logarithmic

Calculates the least squares fit through points by using the following equation:

equation

where c and b are constants, and ln is the natural logarithm function.

Exponential

Calculates the least squares fit through points by using the following equation:

equation

where c and b are constants, and e is the base of the natural logarithm.

Power

Calculates the least squares fit through points by using the following equation:

equation

where c and b are constants.

R-squared Value

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Note: The R-squared value you can display with a trendline is not an adjusted R-squared value. For logarithmic, power, and exponential trendlines, Microsoft Graph uses a transformed regression model.

Moving Average

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Note: The number of points in a moving average trendline equals the total number of points in the series less the number you specify for the period.

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