Find a line of best fit for the data set in the table. Set up the equations andthen the matrix form of the system. Solve the system by normal equations and thenby QR factorization (by hand and/or using MATLAB). Show your work clearly.Finally, provide a plot of the data points and the fitted line (in the same figure).x y5 2810 3915 4820 6525 7230 82

Find a line of best fit for the data set in the table. Set up the equations andthen the matrix form of the system. Solve the system by normal equations and thenby QR factorization (by hand and/or using MATLAB). Show your work clearly.Finally, provide a plot of the data points and the fitted line (in the same figure).x y5 2810 3915 4820 6525 7230 82

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter24: Forecasting Models

Section24.8: Multiple Regression

Problem 7P

See similar textbooks

Similar questions

Using MATLAB, Create a 3-by-4 matrix containing values drawn from the uniform distribution from an interval between [0, 1].
Considering you have a 100X100 Matrix in MATLAB, perform the following operations: Give the MATLAB code of the following.1.) Extract a 25-25 square matrix starting from the 22nd row and 37th column. What is the sum of all the elements?
using MATLAB to Create the following 10×10 matrix, using (for) and (if):
let P matrix with dimension (1x6) . write code in matlab to change P dimension to P(2x3) then write code to change it back to P(1x6).
Please solve using Matlab attach the output and the execution of the code also. Please create a matrix of 5x 5 order.
Considering you have a 100X100 Matrix in MATLAB, perform the following operations: Give the MATLAB code of the following.1.) Extract a 25-25 square matrix starting from the 22nd row and 37th column. What is the sum of all the elements? 2.) Get the sum of the product of the 3rd row and the 81st column. 3.) Multiply all the elements of the 81st column to all the elements of the 3rd row and get their sum.
Define a MATLAB function named getRandomRow() that would accept a matrix of any dimension as the argument. The getRandomRow () function should return a random row from the matrix passed to it. The getRandomRow() function should NOT print anything.
Can you please show and explain how to calculate reduced chi-squared given a set of data and a model equation in excel
Using Matlab answer this question : Create a 3x3 matrix after it makes a matrix that computes the inner products between rows and columns, using the * operator.confirm that a matrix times its inverse returns the identity matrix:
Answer the given question with a proper explanation and step-by-step solution. You will be required to run Expectation Maximization for estimating parameters of a Gaussian mixture model in this example. Refer to lecture slides (Lecture E.2) for the exact formulation. You can use python or do the computations by hand. Recall that you need to use the pdf formulation for computing p(x|theta_k) Consider the following one dimensional data set: 2.3 3.2 3.1 1.6 1.9 11.5 10.2 12.3 8.6 10.9 Assume that we are interested in learning a mixture model with two components (k = 2). Let pi_k denote the probability P(z_i = k) for any i. Let (mu_1,sigma_1) be the parameters for the first Gaussian component of the mixture and (mu_2,sigma_2) be the parameters for the second Gaussian component of the mixture. Given the following initialization: pi_1 = pi_2 = 0.5, mu_1 = mu_2 = 0, and sigma_1 = sigma_2 = 1. Answer the following: a) After first M step, mu_1 = mu_2 = 6.56 b) After…
Computer Science Give asymptotic estimates, using the Θ-notation, for the following functions. Justify your answer, using asymptotic relations between common functions.
I need help with my MATLAB code. I am using ode45 to solve my differential equation. But, the size of w_ode is 9x645. Size of t is also 1x645. How is that possible? Shouldn't t be 1x101 and w_ode be 9x101? How do I get the size to be 9x101? I need that size because I am subtract that matrix by another matrix of the same size. I_T = 2;J = 1.5;I = [I_T; I_T; J];w = [-0.1; 0.3; -1.1];L = [0;0;0]; t = 0:100; % Using ode45 to integrate w dotoptions = odeset('RelTol',1e-10,'AbsTol',1e-10);result = ode45(@dwdt_Bframe, t, [w; I; L], options); % Extracting information from ode solvert = result.xw_ode = result.y function dwdt = dwdt_Bframe(t, wIL) w = wIL(1:3); I = wIL(4:6); L = wIL(7:9); % The w dot equations dwdt = zeros(9,1); dwdt(1) = (-(I(3) - I(2))*w(2)*w(3) + L(1)) / I(1); dwdt(2) = (-(I(1) - I(3))*w(3)*w(1) + L(2)) / I(2); dwdt(3) = (-(I(2) - I(1))*w(1)*w(2) + L(3)) / I(3); % Keep the values of I and L constant dwdt(4:6) = 0; dwdt(7:9) = 0; end