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3. The set of the following data points is given days...
3. The set of the following data points is given days x 14 22 30 y...
3. The set of the following data points is given days x 14 22 30 y 320 490 540 38 380 (a) Determine the natural cubic splines that fit the data. (b) Determine the clamped-clamped splines that fit the data (e) Determine the interpolated value of y for x = 27 both from (a) and (b). (d) Plot of the data points and the interpolating polynomials.
Please answer everything fully and show steps! 3. The set of the following data points is...
Please answer everything fully and show steps!
3. The set of the following data points is given days 14 22 30 38 46 X 320 490540 500 480 (a) Determine the natural cubic splines that fit the data (b) Determine the interpolated value of y for r 27.5 (c) Plot of the data points and the interpolating polynomials
3. The set of the following data points is given days 14 22 30 38 46 X 320 490540 500 480 (a)...
Determine the clamped-clamped splines that fit the data 3. The set of the following data points...
Determine the clamped-clamped splines that fit the data
3. The set of the following data points is given days x 14 22 30 38 490 540 380 y 320
Write a complete set of Matlab instructions that implements cubic spline interpolation on the following data...
Write a complete set of Matlab instructions that implements cubic spline interpolation on the following data (assume clamped-end-condition). Your code should: a. Generate a single plot, over the range 0<= x <= 5, displaying: i. the individual data points ii. the generated spline function b. Predict the interpolated value at x = 0.5, x = 0.8 and x = 3.7 X у 0 1.7 1 0.3 2 1.8 3 0.4 4 2
Task 2 (30 points +4 for comments): Write computer code that uses Lagrange's nterpolating Polynom...
matlab code
Task 2 (30 points +4 for comments): Write computer code that uses Lagrange's nterpolating Polynomials to fit an interpolating polynomial to the data for Task 2 in the excel file and use the polynomials to interpolate the data set and evaluate the function value at x values of 8.4, 7.6, and 6.7 What are the first through 3rd order estimations for the interpolated function value at> 8.4 and x 7.6? a) b) Extrapolate the data set to determine...
9. Which of the following methods can interpolate a set of data points with a function...
9. Which of the following methods can interpolate a set of data points with a function that is differentiable at each data point? Linear Splines LU Decomposition Power Method . Bisection Method Cubic Splines 10. Assume that you have a nonlinear spring, with spring force given by F() k2 You can computework done over a displacement of x = a to x = b, by performing the integration, OF(x)dz. What will be the error incurred if Simpson's rule is used...
Problem 3 You are given the following data: 510 15 20 25 30 35 40 45 50 Y 17 24 31 33 37 37 40 40 42 41 a. Use line...
Problem 3 You are given the following data: 510 15 20 25 30 35 40 45 50 Y 17 24 31 33 37 37 40 40 42 41 a. Use linear regression to fit a straight line, a parabola, and a cubic function to the data b. Plot the data and the different curves on the same plot c. What are the errors associated with the derived parameters for the different curves? d. Which curve best aligns with the given...
3. Consider the function f(x) = cos(x) in the interval [0,8]. You are given the following 3 point...
3. Consider the function f(x) = cos(x) in the interval [0,8]. You are given the following 3 points of this function: 10.5403 2 -0.4161 6 0.9602 (a) (2 points) Calculate the quadratic Lagrange interpolating polynomial as the sum of the Lo(x), L1(x), L2(x) polynomials we defined in class. The final answer should be in the form P)a2 bx c, but with a, b, c known. DELIVERABLES: All your work in constructing the polynomial. This is to be done by hand...
Sample data for the arrival delay times in minutes) of airlines flights is given below. Determine...
Sample data for the arrival delay times in minutes) of airlines flights is given below. Determine whether they appear to be from a population with a normal distribution. Assume that this requirement is loose in the sense that the population distribution need not be exactly normal, but it must be a distribution that is roughly bell-shaped. Click the icon to view the data set. Is the requirement of a normal distribution satisfied? A. No, because the histogram of the data...
For the accompanying data set, (a) draw a scatter diagram of the data, (b) by hand,...
For the accompanying data set, (a) draw a scatter diagram of the data, (b) by hand, compute the correlation coefficient, and (c) determine whether there is a linear relation between x and y. Data Set x 2 4 6 6 7 y 4 8 10 14 19 Critical Values for Correlation Coefficient n 3 0.997 4 0.950 5 0.878 6 0.811 7 0.754 8 0.707 9 0.666 10 0.632 11 0.602 12 0.576 13 0.553 14 0.532 15 0.514 16...
3. The set of the following data points is given days x 14 22 30 y 320 490 540 38 380 (a) Determine the natural cubic splines that fit the data. (b) Determine the clamped-clamped splines that fit the data (e) Determine the interpolated value of y for x = 27 both from (a) and (b). (d) Plot of the data points and the interpolating polynomials.
Please answer everything fully and show steps!
3. The set of the following data points is given days 14 22 30 38 46 X 320 490540 500 480 (a) Determine the natural cubic splines that fit the data (b) Determine the interpolated value of y for r 27.5 (c) Plot of the data points and the interpolating polynomials
3. The set of the following data points is given days 14 22 30 38 46 X 320 490540 500 480 (a)...
Determine the clamped-clamped splines that fit the data
3. The set of the following data points is given days x 14 22 30 38 490 540 380 y 320
Write a complete set of Matlab instructions that implements cubic spline interpolation on the following data (assume clamped-end-condition). Your code should: a. Generate a single plot, over the range 0<= x <= 5, displaying: i. the individual data points ii. the generated spline function b. Predict the interpolated value at x = 0.5, x = 0.8 and x = 3.7 X у 0 1.7 1 0.3 2 1.8 3 0.4 4 2
matlab code
Task 2 (30 points +4 for comments): Write computer code that uses Lagrange's nterpolating Polynomials to fit an interpolating polynomial to the data for Task 2 in the excel file and use the polynomials to interpolate the data set and evaluate the function value at x values of 8.4, 7.6, and 6.7 What are the first through 3rd order estimations for the interpolated function value at> 8.4 and x 7.6? a) b) Extrapolate the data set to determine...
9. Which of the following methods can interpolate a set of data points with a function that is differentiable at each data point? Linear Splines LU Decomposition Power Method . Bisection Method Cubic Splines 10. Assume that you have a nonlinear spring, with spring force given by F() k2 You can computework done over a displacement of x = a to x = b, by performing the integration, OF(x)dz. What will be the error incurred if Simpson's rule is used...
Problem 3 You are given the following data: 510 15 20 25 30 35 40 45 50 Y 17 24 31 33 37 37 40 40 42 41 a. Use linear regression to fit a straight line, a parabola, and a cubic function to the data b. Plot the data and the different curves on the same plot c. What are the errors associated with the derived parameters for the different curves? d. Which curve best aligns with the given...
3. Consider the function f(x) = cos(x) in the interval [0,8]. You are given the following 3 points of this function: 10.5403 2 -0.4161 6 0.9602 (a) (2 points) Calculate the quadratic Lagrange interpolating polynomial as the sum of the Lo(x), L1(x), L2(x) polynomials we defined in class. The final answer should be in the form P)a2 bx c, but with a, b, c known. DELIVERABLES: All your work in constructing the polynomial. This is to be done by hand...
Sample data for the arrival delay times in minutes) of airlines flights is given below. Determine whether they appear to be from a population with a normal distribution. Assume that this requirement is loose in the sense that the population distribution need not be exactly normal, but it must be a distribution that is roughly bell-shaped. Click the icon to view the data set. Is the requirement of a normal distribution satisfied? A. No, because the histogram of the data...
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