Need help, will rate, thanks. 3. Given n 1 data pairs (xo, yo), (xi,yi),..., (^n, Jn),...
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...
I need help on this, please help me Suppose that X = (Xi, X2, , Xn) and Y = (Yİ, ½, . . . ,Yn) are randon samples from continuous distributions F and G, respectively. Wilcoxon's two-sample test statistic W W(X,Y) is defined to be Σǐ1+nn 1 R d n+m where Ri is the rank of Yn the combine sample. 2. Show that W can be written as where U is the number of pairs (X,, Y) with X, <...
2. Consider interpolating the data (x0,yo), . . . , (x64%) given by Xi | 0.1 | 0.15 | 0.2 | 0.3 | 0.35 | 0.5 | 0.75 yi 4.0 1.0 1.22.12.02.52.5 For all tasks below, please submit your MATLAB code and your plots. You can write all code in a single (a) Using MATLAB, plot the interpolating (6th degree) polynomial given these data on the domain .m-file [0.1,0.75] using the polyfit and polyval commands. To learn how to use...
(3) (a) Given a set of discrete pairs of data points {(xi, f) i = 0,1,2,...,nl, ENG1005 ASSIGNMENT 3 show that the coefficients are of the polynomial p(x) = ax ko that is fitted to the data points, i.e. p(xi) = fiosisn, are given by the solutions of the following linear system of equations: af 31-6--0 (h) Using the technique explained in part (a), find a degree-three polynomial p(x) such that p(k) = 2* for all k = 0,1,2,3. What...
1. Suppose a population of N individuals has true (unknown) numerical measurements yi, y2, …YN (repeats allowed). The unknown population mean 1S yj One way to estimate the unknown population mean μ is to decide on a number nS N, then successively randomly select one individual at a time, observe and record the quantity of interest for that individual, put that individual back in, and repeat the process n times. Then form the mean of the recorded n observations. Prove...
please help me solve part (c). 2,U2 1, x2 = 2 and yo = 0,31 0 3. Given the data x0 y for the polyno- a) (15 pts) Set up the Vandermonde system Vc mial interpolant p(x) = co + C1x + c2x2 such that p(zi) = yi, 2 0,1,2 b) (15 pts) Find the solution of the system and sketch y px) c) (15 pts) Write down the Lagrange form of the interpolating poly- nomial and simplify the result....
In the simple linear regression with zero-constant item for (xi , yi) where i = 1, 2, · · · , n, Yi = βxi + i where {i} n i=1 are i.i.d. N(0, σ2 ). (a) Derive the normal equation that the LS estimator, βˆ, satisfies. (b) Show that the LS estimator of β is given by βˆ = Pn i=1 P xiYi n i=1 x 2 i . (c) Show that E(βˆ) = β, V ar(βˆ) = σ...
Need help on this thermodynamics question. Thanks Data given from function Cp=22.64 + 6.28 x (10^-3)*T [Jmol-1 K-1 ] Cp(J/mol.K) T(K) 24.524 300 24.838 350 400 25.152 25.466 450 500 25.78 550 26.408 26.722 650 27.036 700 750 27.35 27.664 800 27.978 28.292 28.606 950 1000 28.92 1050 29.234 1100 29.548 1150 29.862 30.176 1200 1250 30.49 1300 30.804 1350 31.118 358 31.16824 The specific heat capacity of solid copper above 300 K is given by Cp-22.64+6.28 x 103TJmol K1]...