In the following table, price of a used car is given in terms of the percentage of the car's original price. Want to estimate price of a used car based on its mileage and age. Find the best linear fit to minimize the 2-norm of the approximation error. Age Mileage Percent of Original Price 1 5000 90 2 10000 85 2 15000 80 3 15000 75 34 20000 75 20000 70 4 30000 65 55 30000 60 40000 50

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 31EQ
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In the following table, price of a used car is given in terms of the percentage of
the car's original price. Want to estimate price of a used car based on its mileage and
age. Find the best linear fit to minimize the 2-norm of the approximation error.
Age Mileage Percent of Original Price
1
5000
90
2
10000
85
2
15000
80
3
15000
75
34
20000
75
20000
70
4
30000
65
55
30000
60
40000
50
Transcribed Image Text:In the following table, price of a used car is given in terms of the percentage of the car's original price. Want to estimate price of a used car based on its mileage and age. Find the best linear fit to minimize the 2-norm of the approximation error. Age Mileage Percent of Original Price 1 5000 90 2 10000 85 2 15000 80 3 15000 75 34 20000 75 20000 70 4 30000 65 55 30000 60 40000 50
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