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This function computes the Gompertz response model for a given vector of x values. It takes parameters b, c, d, and e to define the Gompertz function.

Usage

rm_Gompertz(x, b, c, d, e)

Arguments

x

A numeric vector of x values.

b

A numeric value representing the steepness of the curve.

c

A numeric value representing the lower asymptote.

d

A numeric value representing the upper asymptote.

e

A numeric value representing the x-value of the sigmoid's midpoint.

Value

A numeric vector of the same length as x, representing the computed Gompertz response values.

Details

The Gompertz function is defined as: $$y = c + (d - c) * exp(-exp( b * (x - e)))$$

Examples

x_values <- seq(0, 10, by = 0.1)
b <- -0.5
c <- 0
d <- 1
e <- 5
result <- rm_Gompertz(x_values, b, c, d, e)
plot(x_values, result, type = "l", main = "Gompertz Response Model", xlab = "x", ylab = "y")