If omitted, the set of takes on the value. This is an optional argument which, if provided, should have the same length as the set of known_y's. Where the function arguments are as follows: known_y's

If const is FALSE, the parameter a is set to 1, so the formula will look like y = e bx.TREND( known_y's,, , ).

If const is TRUE or omitted, the parameter a is calculated normally,.

Those, the curved line would pass through the point ( x = 0, y = 1):

const (optional) is a Boolean value specifying whether to force the parameter a (intercept) to equal 1.

If known_x's is omitted, it is assumed to be the array that is the same size as known_y's.

known_x's (optional) are independent data values.

known_y's (required) are dependent data values,.

The array function LOGEST () calculates the exponential curve that fits best the known data and then returns an array with statistics describing the trend line: The array function LINEST () calculates the linear trend best fits the known data and then returns an array with statistics describing the trend line: To find parameter a, it is necessary to perform the inverse transformation a = EXP (A) or EXP (-A).Įxcel offers the following functions to calculate the trend parameters:

For a < 0 (there is some upper bound c for y), the variables change to Y = ln ( c - y) and A = ln ( -a).

For a > 0, the variables change to Y = ln ( y) and A = ln ( a),.

After changing the variables, the calculations are similar to the linear case Y = b * x + A: Note: Excel uses a linear model to fit an exponential function: the exponential function y = a * e bx is transformed into a linear function using a change of variables. the result of EXP (1) - see below the description of this function).

e is the mathematical constant, the base of the natural logarithm (also known as Euler's number, approximately equal to 2.71828.

a and b are the parameters of the approximating function (also named function coefficients or constants),.

The exponential trendline is a curved line described by the function:

a dependent or response variable y (named as known_y's).Įxponential trendline equation and formulas.

an independent, predictor, or explanatory variable x (named as known_x's),.

When calculating a trend line, two sets of variables are required: Excel uses the least squares method to find the best fitting line for the data points.

Excel equation of trendline