Find the closest line to the points (1,4.5), (3, 4.5), and (4, 1).Identify the following components:1. the normal equations; 2. the line of best fit C+ Dt;3. the projection p onto the column space of A; and, 4. the total error ||e||.

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Answered: Find the closest line to the points…

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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please send handwritten solution
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The table lists the average monthly cost to workers for family health insurance for various years. Year, x Average Monthly Cost to Workers for Family Health Insurance $298 a) Use a graphing calculator to fit a regression line to the data. b) Predict the average monthly cost to workers for family health insurance in 2020, and compare the value with $493.3, which is obtained using the points (1,340) and (4,386). c) Find the correlation coefficient for the regression line, and determine whether the line fits the data closely. 2009, 0 2010, 1 2011, 2 340 348 2012, 3 367 2013, 4 2014, 5 386 406 a) The linear equation of the regression line that best models the data is y =x+. (Round to the nearest hundredth as needed.) b) The average monthly cost to workers for family health insurance in 2020 is predicted to be $ (Round to the nearest cent as needed.) Compare the above obtained value with $493.3 This value is $ $493.3 c) The correlation coefficient is (Round to the nearest thousandth as…

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Find the closest line to the points (1,4.5), (3, 4.5), and (4,1). Identify the following components: 1. the normal equations; 2. the line of best fit C + Dt; 3. the projection p onto the column space of A; and, 4. the total error ||e||².