Problem 5 Six data points are given by (-4, 2),(-1,5), (0, 10), (2, 7), (6, 13),...
Problem 2. Given the data points (xi. yi), with xi 2 02 4 yil 5 1 1.25 find the following interpolating polynomials, and use MATLAB to graph both the interpolating polynomials and the data points: a) The piecewise linear Lagrange interpolating polynomialx) b) The piecewise quadratic Lagrange interpolating polynomial q(x) c) Newton's divided difference interpolation pa(x) of degree s 4 Problem 2. Given the data points (xi. yi), with xi 2 02 4 yil 5 1 1.25 find the following...
linear algebra Question 2: Consider the data (-2,-2), (-14), (0,0), (1,5), (2,8). Find the matrix A that would solve the least squares line, and the matrix B that would solve the least squares quadratic. Answer Question 3: Find the least squares line and residual vector for the data found in Question 2 Answer: Question 2: Consider the data (-2,-2), (-14), (0,0), (1,5), (2,8). Find the matrix A that would solve the least squares line, and the matrix B that would...
only (c) please Find the least squares fit to the data x0 12 (a) By a linear function. Plot your linear function along with the data on a coordinate system. (b) By a quadratic polynomial. Sketch the graph. c) By a function of the form ya2 b2*. 2-1 Find the least squares fit to the data x0 12 (a) By a linear function. Plot your linear function along with the data on a coordinate system. (b) By a quadratic polynomial....
Using MATLAB, The following data is given: 13 14 15 15 2 10 12 (a) Use linear least-squares regression to determine the coefficients m and b in the function y - mx+b that best fits the data (b) Make a plot that shows the function and the data points.
Consider the set of data points S = {(2,5),(4, 13), (5, 17), (7, 26)}. Use linear algebra to find the values of the parameters m and b for which the line y = mx + b best fits the data in the least-squares sense.
please write down detailed solution (do not copy 3. [Polynomial interpolation versus least squares fitting, 10pts] Recall how Q7 in HW3 required you to find the cubic best fit to six given data points. This led to a least squares optimization problem. We are given the same points as in HW3: i 01 | 2 | 3 | 4 | 5 X 0.0 0.5 1.0 1.5 2.0 2.5 Y 0.0 0.20 0.27 0.30 0.32 0.33 (a) Write down the least...
10 of 10 (8 complete) Find the least-squares line y-Po +Rx that best fits the given data. Given The data points (-2.2). (-1,5). (0.5),(1.2), (2.2) Suppose the errors in measuring the y-values of the last two data points are greater than for the other points. Weight these data points twice as much as the36 O A. y-26-053x ОВ. у-28-055x O C. y-29-045x rest of the data 1 -2 2 5 y 5 1 -1 βι P2 10 of 10 (8...
0 3 X Y 2 4 4 Given to the right are two linear equations and a set of data points a. Graph the linear equations and data points. b. Complete tables for X. y. y. e, and e? c. Determine which line fits the set of data points better, according to the least squares criterion Line Ay=-1+3x Line : y=1+2x a. Graph the linear equations and data points. Note that Line Ais dashed red and Line B is solid...
2. (a) Evaluate the function f (t) = .05sin(1000t)+.5cos(πt)−.4sin(10t) at the 101 points given by 0:.01:1. Plot the resulting broken line interpolant. (b) In order to study the slow scale trend of this function, we wish to find a low degree polynomial (degree at most 6) that best approximates f in the least squares norm at the above 101 data points. By studying the figure from part (a) find out the smallest n that would offer a good fit in...
A wind tunnel test conducted on an airfoil section yielded the following data between the lift coefficient (CL) and the angle of attack (?): 12 1.40 16 1.71 20 1.38 de CL 0.11 0.55 0.95 You are required to develop a suitable polynomial relationship between ? and CL and fit a curve to the data points by the least-squares method using (a) hand calculations and (b) Matlab programming Hint: A quadratic equation (parabola) y(x)-aa,x +a x' can be used in...