Let A = 1 and let b = 3 0 1 (a) Use the Gram-Schmidt process to find an orthonormal basis for the column space of A. Store the resulting vectors in the columns of an orthogonal matrix Q. (b) Use the orthogonal matrix Q to project b onto the column space of A. (c) Describe a connection between this problem and Problem 1.

Let A = 1 and let b = 3 0 1 (a) Use the Gram-Schmidt process to find an orthonormal basis for the column space of A. Store the resulting vectors in the columns of an orthogonal matrix Q. (b) Use the orthogonal matrix Q to project b onto the column space of A. (c) Describe a connection between this problem and Problem 1.

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Polynomial Functions

Section3.5: Mathematical Modeling And Variation

Problem 2ECP

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Cellular Phone Subscribers The table shows the numbers of cellular phone subscribers y in millions in the United States from 2008 through 2013. Source: CTIA- The Wireless Association Year200820092010201120122013Number,y270286296316326336 (a) Find the least squares regression line for the data. Let x represent the year, with x=8 corresponding to 2008. (b) Use the linear regression capabilities of a graphing utility to find a linear model for the data. How does this model compare with the model obtained in part a? (c) Use the linear model to create a table of estimated values for y. Compare the estimated values with the actual data.
YOUR TURN 1 Calculate the least squares line for the following data. x 1 2 3 4 5 6 y 3 4 6 5 7 8

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