# SAVF_preferred_rho: Identify preferred rho In KraljicMatrix: A Quantified Implementation of the Kraljic Matrix

## Description

`SAVF_preferred_rho` computes the preferred rho that minimizes the squared error between subject matter input desired values and exponentially fitted scores

## Usage

 ```1 2``` ```SAVF_preferred_rho(desired_x, desired_v, x_low, x_high, rho_low = 0, rho_high = 1) ```

## Arguments

 `desired_x` Elicited input x value(s) `desired_v` Elicited value score related to elicited input value(s) `x_low` Lower bound anchor point (can be different than `min(x)`) `x_high` Upper bound anchor point (can be different than `max(x)`) `rho_low` Lower bound of the exponential constant search space for a best fit value function `rho_high` Upper bound of the exponential constant search space for a best fit value function

## Value

A single element vector that represents the rho value that best fits the exponential utility function to the desired inputs

`SAVF_plot_rho_error` for plotting the rho squared error terms
`SAVF_score` for computing the exponential single attribute value score
 ``` 1 2 3 4 5 6 7 8 9 10``` ```# Given the single attribute x is bounded between 1 and 5 and the subject matter experts # prefer x values of 3, 4, & 5 provide a utility score of .75, .90 & 1.0 respectively, we # can search for a rho value between 0-1 that provides the best fit utility function: SAVF_preferred_rho(desired_x = c(3, 4, 5), desired_v = c(.75, .9, 1), x_low = 1, x_high = 5, rho_low = 0, rho_high = 1) ```