Question 2 Complete the table shown in Figure 2 for the N = 5 data points, and hence solve the following system of equations for m and c, determining the least squares fit of the data, y=mx+c. mΣx₁ + Nc = Ży *Σ* *Σ* -Ź** X² y xy Q i 1 2 345 5 Sum X 10 20 30 40 50 33 51 67 89 102 Figure 2 V CI 8 x%

Question 2 Complete the table shown in Figure 2 for the N = 5 data points, and hence solve the following system of equations for m and c, determining the least squares fit of the data, y=mx+c. mΣx₁ + Nc = Ży Σ Σ -Ź** X² y xy Q i 1 2 345 5 Sum X 10 20 30 40 50 33 51 67 89 102 Figure 2 V CI 8 x%

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.3: Least Squares Approximation

Problem 29EQ

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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.

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