Writing Matlab code for the Least Squares Apporximation
Can I please get help with writng the matlab code for the least squares approximation and answering any theoretical questions that may come with it
function least_squares(x,n)
%least_squares(x,n) fits a least-squares polynomial of order n through %a set of data where x and n are the coordinates.
%The output to least_squares(x,n) is the set of coefficients c0, c1,...,cm %for the least-square polynomial Pm(x) = c0 + c1*x + c2*x^2 + ...+ cm*x^m %Hence, there will be m+1 values in the vector c. %A graph displays the set of points and the fitted polynomial
n = size(x,1); if n == 1 n = size(x,2); end b = zeros(m+1,1); for i = 1:n for j = 1:m+1 %right-hand side column vector consisting of sums of %powers of x multiplied by y's b(j) = b(j) + y(i)*x(i)^(j-1); end end p = zeros(2*m+1,1); for i = 1:n for j = 1:2*m+1 %sums of powers of x p(j) = p(j) + x(i)^(j-1); end end for i = 1:m+1 for j = 1:m+1 %distributing the sums of powers of x in a matrix A A(i,j) = p(i+j-1); end end c = A\b %creating an x-axis and evaluating the least-ssquare polynomial %this is only needed for data visualization t = min(x):0.05:max(x); n = size(t,2); for i = 1:n f(i) = c(m+1); for j = m:-1:1 f(i) = c(j) + f(i)*t(i); end end %data visualization figure plot(t,f) %the least_squares polynomial hold on plot(x, n, 'r*') %the data points grid on
Writing Matlab code for the Least Squares Apporximation Can I please get help with writng the...
Need help with writing this code/solution in, at least, MatLab
v. R2018b
Task 4.12 Using the command roots calculate the solutions of the equations 23 + 2a +r+1= 0 and – 2x + 25 + m2 = 4. Here you need to be careful that the coefficients of the polynomials are entered correctly as vectors. Solution 4.12 The roots can be calculated using the inline code roots([1 1 1 1]) and roots ([1 0 0 1 -2 -4]).
In the class, we discussed the generalized least squares approximation for higher-order (see example below). In this homework problem, you will need to (1) Repeat the example by preparing a Matlab code. That is, the code will first read the x and y vectors and then call (your) function to calculate a of the polynomial. (2) Calculate the standard deviation. Least Squares Approximation-higher-degree Example: Find the LS polynomial of degree three (3) that fits the following data in the table...
Need help with matlab code. If writing code out please make it
where i can understand and read it. I would prefer to see it in
matlab form. Thanks
Consider the RC Circuit shown below. Assume the excitation is a 10 kHz sine wave with amplitude of 1 volt. Derive expressions for the voltages across the resistor and the capacitor as time functions. Plot the voltages across the resistor and the capacitor over two periods using MATLAB and a reasonable...
Could i get help writing the code for this question in
matlab?
An internal combustion engine slider-crank mechanism is shown in the figure. Crank AB rotates in selected clockwise positive direction as shown. Piston position is Y=AD. o(t) is angular position of the crank, 0(t) is angular velocity of the crank, ő is angular acceleration of the crank. Crank AB rotates with a constant angular velocity of 5 rad/s clockwise in positive O direction as shown. Perform computer simulations using...
Can I get some help on writing a paper about please include the articles where the information come from The Birth Order of the Duration and Initiation and the effects of breastfeeding
Circuit Analysis: Need help writing this into MATLAB. I do not
need it in paper I need help putting it into MATLAB. * DO NOT WRITE
ON PAPER* Please use MATLAB and post your code. Thank you.
My work completed. Please help me in make code for the above
circuit ^.
Here is my work for Part 3 that is needed to complete this part
4. ( could not solve the last part)
Part 4. AC Solution by Phasor Analysis...
MATLAB ONLY
gauss.jpg BELOW
Instructions: The following problems can be done interactively or by writing the commands iın an M-file (or by a combination of the two). In either case, record all MATLAB input commands and output in a text document and edit it according to the instructions of LAB 1 and LAB 2. For problem 2, include a picture of the rank-1 approximation. For problem 3, include a picture of the rank-10 approximation and for problem 4, include a...
MATLAB CODE
Conc. (mo/I). Time (days) 0.4 0.8 1.2 1.6 2 2.3 750 1000 1400 2000 2700 3750 Now use Matlab to generate the polynomial fits for 2 through 5 order polynomials. Plot the fitted lines with an interval of 0.1 over the range of 0 to 2.7. Use "polyfit" and 'polyval” commands. Make your graph look like the one provided below: 3931 DO How good are polynomials at predicting values outside the range of observed data? What implications does...
Can someone help me figure out how to write code on Matlab for
either of these two questions? My biggest problem is working with
the large factorials which Matlab can't seem to handle
1. Write a code to calculate nas a function of ga, when NA l300, 600, 3000, 6000, NB (200, 400, 2000, 4000), and g 100, plot them and try to find some tendency when N increases (hint: 4 plots). 2. Write a code to calculate the probability...
How can I code this problem in MATLAB: a) Find the approximations to within 10-4 to all real zeros of the following polynomials using Newton's method.? f(x)=x3 - 2*x2- 5. b) Find approximations to within 10-5 to all the zeros of each of the following polynomials by first finding the real zeros using Newton’s method and then reducing to polynomials of lower degree to determine any complex zeros. f(x)=x4 + 5x3 - 9*x2 - 85*x - 136.