X = 1, 1.4, 3.2, 5 Y = 1.2, 3, 2.8, 4 Directly fit the data by a single 3rd-order polynomial that runs through all of the data points. It is recommended that you use the Lagrange interpolation method (Sec 6.5.1), but a solution obtained by directly solving the 4 x 4 matrix equation (Sec 6.5, pp. 211-212) will also be acceptable. Show your procedure. Plot the 3rd-order polynomial and the original data points in a single figure.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
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Chapter6: Linear Systems
Section6.3: Matrix Algebra
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X = 1, 1.4, 3.2, 5

Y = 1.2, 3, 2.8, 4

Directly fit the data by a single 3rd-order polynomial that runs through all of the data points. It is
recommended that you use the Lagrange interpolation method (Sec 6.5.1), but a solution obtained by
directly solving the 4 x 4 matrix equation (Sec 6.5, pp. 211-212) will also be acceptable. Show your
procedure. Plot the 3rd-order polynomial and the original data points in a single figure. 

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