Suppose a variable y depends on n independent variables 
, 
, 
. If the independent variables have uncertainty 
, 
, etc. and the uncertainties are independent, then the uncertainty in y can be estimated with
, , . If the independent variables have uncertainty , , etc. and the uncertainties are independent, then the uncertainty in y can be estimated with 
For this problem, the relationship between y and 
will be power laws of the form
will be power laws of the form
For example, the relationship 
would have c = 0.5 and a = [1 2].
would have c = 0.5 and a = [1 2]. Write a function that takes a vector of values of x, the coefficient c, exponents a, and a vector of uncertainties 
and returns the absolute uncertainty 
, relative uncertainty 
, and the index of the variable that contributes the most to the uncertainty in y. Identifying the largest contributor to the uncertainty tells the experimentalist which measurement to target first to improve the measurement.
and returns the absolute uncertainty , relative uncertainty , and the index of the variable that contributes the most to the uncertainty in y. Identifying the largest contributor to the uncertainty tells the experimentalist which measurement to target first to improve the measurement. Solution Stats
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