Problem 1. The plot below shows a number of noisy (x, y) datapoints and a nonlinear model y = f(x) fit to the data by linearization and least squares. 10 10³ 10⁰ 10-3 10-² 10-1 10⁰ X ● (x,y) -least-squares fit 10¹ 10² (a) What is the appropriate functional form of the nonlinear model, given this plot? Your answer should be some function y = f(x) with one or more unknown constants in f. (b) Determine the values of the constants from the least-squares fit shown in the plot. (c) Plug the constants into the formula from (a) to give y = f(x) as an explicit function. (d) Suppose you have the noisy data points as vectors x and y in Julia or Matlab. Write a few lines of code that would determine the values of the constants from a least-squares fit and generate a function for the model y = f(x).

Problem 1. The plot below shows a number of noisy (x, y) datapoints and a nonlinear model y = f(x) fit to the data by linearization and least squares. 10 10³ 10⁰ 10-3 10-² 10-1 10⁰ X ● (x,y) -least-squares fit 10¹ 10² (a) What is the appropriate functional form of the nonlinear model, given this plot? Your answer should be some function y = f(x) with one or more unknown constants in f. (b) Determine the values of the constants from the least-squares fit shown in the plot. (c) Plug the constants into the formula from (a) to give y = f(x) as an explicit function. (d) Suppose you have the noisy data points as vectors x and y in Julia or Matlab. Write a few lines of code that would determine the values of the constants from a least-squares fit and generate a function for the model y = f(x).

Trigonometry (MindTap Course List)

8th Edition

ISBN:9781305652224

Author:Charles P. McKeague, Mark D. Turner

Publisher:Charles P. McKeague, Mark D. Turner

Chapter4: Graphing And Inverse Functions

Section: Chapter Questions

Problem 6GP: If your graphing calculator is capable of computing a least-squares sinusoidal regression model, use...

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