Find the second iteration estimates and corresponding absolute errors of the unknows using Jacobi method and Gauss-Seidel method using initial guess of x= 1, y=0, z=1. 3x + 7y+13z = 76 12x + 3y - 5z = 1 x + 5y3z = 28
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- 7 FInd the linear approximatron near (2,0) ofArm circumferences (cm) and heights (cm) are measured from randomly selected adult females. The 146pairs of measurements yield x=34.69cm, y=163.25cm, r=0.075, P-value=0.368, and y=157+0.1826x. Find the best predicted value of y (height) given an adult female with an arm circumference of 40.0cm. Let the predictor variable x be arm circumference and the response variable y be height. Use a 0.05 significance level. The best predicted value is ____cm.Find all the possible roots of the function f (x) = x3 + x – 1, by using Fixed Point Iteration method. Consider initial guess of xo = 1 and keep tolerance level up to 1x103. Also find the respective errors.
- Exercise 1.1: Error Propagation • Suppose x = v3, and x* = 1.732 is a floating-point representation of x. 1. Determine the magnitudes of the absolute and relative errors of x. 2. Provide semilog plots of the magnitudes of the absolute and relative errors of (x*)" for n = 1 to 10 in a single figure. 3. On the same plots, provide the mathematically derived values of the magnitudes of the errors.Find all the possible roots of the function f(x) = x + x – 1, by using Fixed Point Iteration method. Consider initial guess of xo = 1 and keep tolerance level up to 1x103. Also find the respective errors.10x1 + 2x2 + X3 = 13 X1 + 10x2 + 2x3 = 13 2x1 + x2 + 10x3 = 13 What is the (x1,X2, X3) values by using Gauss Seidel method for initial value (0,0,0) and 4 iteration. 3.
- Imagine you have two estimators X and Y, for unknown parameter µ. Assume that they are estimated from independent datasets. Let Z = }(X+Y) be the average of these two estimators. To write the symbol µ, you can write mu. For other math notation, you can E[X], Var(X) and (X+Y)/2 or (1/2)(X+Y). Part a - If X and Y are unbiased estimators, E[X] = E[Y] = µ, then is Z unbiased? Explain why or why not. Your explanation should include a short derivation. Part bL Assume Var(X) = Var(Y). Is Z a lower variance or higher variance estimator than X? Explain your answer. Your explanation should include a short derivation.If u = x1x2 + x2x3+ X3X1, then find the relative percentage error in the computation of u at x1 = 2.104, x2 1.935 and x3= = 0.845.Use Müller's method for up to three iterations with guesses of o, 1 and ₂ = 2.5, 3.0, and 3.5, respectively, to determine the positive root of the equation f(x) = x³ + x² - 4x - 4. Compute the percent relative errors Ea.
- The following table contains data from a physics experiment. Complete the table. Trial Rate (m/sec) Time (sec) Distance (m) kq² – 3k1 k1 + 1 k1² + 3k1 + 2 1 k1 3 2 k2 + 6k2 + 5 k2 + 1 2 k22 + 11k2 + 30Heights (om) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 138 to 188 cm and weights of 41 to 150 kg. Let the predictor variable x be the first variable given. The 100 paired measurements yield x 167.74 cm, y 81.46 ko, r0.239, Pvalue 0.017, and y - 106 + 1,15x. Find the best predicted value of y (weight) given an adult male who is 153 cm tall. Use a 0.01 significance level. The best predicted value of y for an adult male who is 153 cm tall is kg. (Round to two decimal places as needed.)2:22 ◄ Search X = 27. Find mDP 28. Find m2POR mDF= 29. If m= (3x + 2)", mHLR- (15x-36), and m/HMK = (8x-1), find mHLR. 15x-36 wr8x-1 mHLK = 30. If mAD= (17x + 2), mAC = (7x-10), and m/ABC = (4x + 15), find m/ABC. 17x +2 Jobins Find the value of x. 32. Find the value of x. 20 Today 1:37 PM 36 Edit 00:39 131 mzPOR- m/ABC = 39 X = Gina Wilson (All TAI