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Solve in Matlab derive the least-squares fit of the following model: y = a1*x + a2*x^2 That is, determine the coefficients that result in the

Solve in Matlab

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derive the least-squares fit of the following model: y = a1*x + a2*x^2 That is, determine the coefficients that result in the least-squares fit for a second-order polynomial with a zero intercept. Compare this result to a quadratic curve fit that includes an intercept value, a0 Note: Your function needs to be able to handle sample data sets of arbitrary size Solution MATLAB Documentation function % Input [F-fit ,a0,al'a2, r2] Chapra-15p2 ( n, v-sample , F-samplefit) l 12| = number of terms in the curve fit (scalar) n 2 for zero intercept, n-3 includes an intercept 4 % sample: sample velocity values (vector) 71 % F. Sample: experimental data of force for sample velocity values (vector) 8 % v-fit: velocity values to evaluate fit of Force (vector) 10 % Output 11 % F-fit. Value of power law fit for Force (vector) 12 131 %a0: 14 %a1: 15 % a2 : 16 % r2 : 17 18 % write your code here 19 evaluated at given velocity, v_fit coefficient for value of y-intercept (scalar) coefficient for value of slope (scalar) coefficient for value of quadratic term (scalar) Coefficient of determination (scalar) derive the least-squares fit of the following model: y = a1*x + a2*x^2 That is, determine the coefficients that result in the least-squares fit for a second-order polynomial with a zero intercept. Compare this result to a quadratic curve fit that includes an intercept value, a0 Note: Your function needs to be able to handle sample data sets of arbitrary size Solution MATLAB Documentation function % Input [F-fit ,a0,al'a2, r2] Chapra-15p2 ( n, v-sample , F-samplefit) l 12| = number of terms in the curve fit (scalar) n 2 for zero intercept, n-3 includes an intercept 4 % sample: sample velocity values (vector) 71 % F. Sample: experimental data of force for sample velocity values (vector) 8 % v-fit: velocity values to evaluate fit of Force (vector) 10 % Output 11 % F-fit. Value of power law fit for Force (vector) 12 131 %a0: 14 %a1: 15 % a2 : 16 % r2 : 17 18 % write your code here 19 evaluated at given velocity, v_fit coefficient for value of y-intercept (scalar) coefficient for value of slope (scalar) coefficient for value of quadratic term (scalar) Coefficient of determination (scalar)

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