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Linear Algebra with Applications (9th Edition) (Featured Titles for Linear Algebra (Introductory))
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- Linear regression was performed on a dataset and it was found that the best least square fit was obtained by the line y = 2x + 3. The dataset on which regression was performed was corrupted in storage and it is known that the points are (x, y): (-2,a), (0,1), (2, B). Can we recover unique values of a, B so that the line y = 2x + 3 continues to be the best least square fit? Give a mathematical justification for your answer.arrow_forwardobtain the least squares fit for a linearrow_forwardapproximationto fx)=cos hx USina legendrepolynomials Find aquadratic least-squares mationto fx)=coShyarrow_forward
- Suppose we have three vectors x, y. and z all of which are the same length. We wish to perform a least squares fit where we can write z = ao + a1x + a2Y what do have to minimise? Select one: ao a. Iz- a2 O b. lz - | 2 Y a2 || 1 ao O c lz -| a1 O d. You cannot compute this. నాarrow_forward4. Derive the normal equations for finding the least-squares plane z = Ar+By+C for the N points (x1, y1, z1),.,(*N, YN, ZN).arrow_forwardFaith observed that her product sales in a certain town is given by the function of M(u, v) = u²v² at each point (u, v) € R. This region R, which represents the locations in two-dimensional space, is the triangular region bounded by the lines passing through the points (0, 3), (1, 0), and (0, 0). At which point should Faith sell her product in order to maximize her sales?arrow_forward
- choose:(true or false)arrow_forwardUse Lagrange multipliers to find the point on the plane x-y+z=7 closest to the point (4,5,1).arrow_forwardWhich of the following is the function z in terms of the variable x that needs to be converted in order to fit the exponential function in the form y=a.e^bx to the points given by the least squares method? O A) z = b. x +c OB) z = x + b•c OC) z = b* +c OD) z = b+x+c O E) z = x/b + carrow_forward
- Linear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage LearningElementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage Learning
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