In wind tunnel tests for a new tall building in New York City the force, F, was measured exerted bythe wind on a model of the new building at different known wind velocities, v. This data is tabulatedon the right. Using the matrix formulation of Section 17.4.1, {Y}=[Z]{A}+{E}; {E}={Y}-[Z]{A},conduct a polynomial regression of F on v as instructed below.Fm(N)• (a) Determine (but don't yet solve) the normal eguations for a 2nd order polynomial(parabolic) regression of F on v.• (b) Solve the normal equations using Cholesky decomposition and Forward and BackSubstitution, since the coefficient matrix of the normal equations is symmetric.• (c) Determine the equation of the regression curve in terms of v and F, the standard error of theestimate, and the correlation coefficient.• (d) Since the coefficient of the quadratic term seems small, investigate whether a straightregression line might work: Modify the columns of the [Z] matrix and the elements of the {A}vector such that the regression line becomes straight. Recompute the equation for the regressionline, the standard error of the estimate, and the correlation coefficient. Present your conclusions.1025207030380405505061060122070830801450

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In wind tunnel tests for a new tall building in New York City the force, F, was measured exerted by the wind on a model of the new building at different known wind velocities, v. This data is tabulated on the right. Using the matrix formulation of Section 17.4.1, {Y}=[Z]{A}+{E}; {E}={Y}-[Z]{A}, conduct a polynomial regression of F on v as instructed below. F m (N) 10 25 • (a) Determine (but don't yet solve) the normal equations for a 2nd order polynomial (parabolic) regression of F on v. 20 70

In wind tunnel tests for a new tall building in New York City the force, F, was measured exerted by the wind on a model of the new building at different known wind velocities, v. This data is tabulated on the right. Using the matrix formulation of Section 17.4.1, {Y}=[Z]{A}+{E}; {E}={Y}-[Z]{A}, conduct a polynomial regression of F on v as instructed below. F m (N) 10 25 • (a) Determine (but don't yet solve) the normal equations for a 2nd order polynomial (parabolic) regression of F on v. 20 70

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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