Problem 58941. Compute measurement uncertainty
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
For this problem, the relationship between y and will be power laws of the form
For example, the relationship 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.
Solution Stats
Problem Comments
Solution Comments
Show commentsProblem Recent Solvers6
Suggested Problems
-
Swap the first and last columns
20312 Solvers
-
Sum of diagonal of a square matrix
1571 Solvers
-
235 Solvers
-
Sum the elements in either diagonal of a square matrix
209 Solvers
-
148 Solvers
More from this Author273
Problem Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!