y 4 3 8. In USE SALT Find the least-squares equation for these data (rounded to four digits after the decimal). ý = Now suppose you are given these (x, y) data pairs. 4 3 8 y 1 Find the least-squares equation for these data (rounded to four digits after the decimal).

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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Suppose you are given the following (x, y) data pairs.
2
1
y
4
3
8
n USE SALT
Find the least-squares equation for these data (rounded to four digits after the decimal).
+
Now suppose you are given these (x, y) data pairs.
4
3
8
y
1
Find the least-squares equation for these data (rounded to four digits after the decimal).
+
%D
In the data for parts (a) and (b), did we simply exchange the x and y values of each data pair?
Yes
No
Solve your answer from part (a) for x (rounded to four digits after the decimal).
X =
+
y
Do you get the least-squares equation of part (b) with the symbols x and y exchanged?
O Yes
No
Transcribed Image Text:Suppose you are given the following (x, y) data pairs. 2 1 y 4 3 8 n USE SALT Find the least-squares equation for these data (rounded to four digits after the decimal). + Now suppose you are given these (x, y) data pairs. 4 3 8 y 1 Find the least-squares equation for these data (rounded to four digits after the decimal). + %D In the data for parts (a) and (b), did we simply exchange the x and y values of each data pair? Yes No Solve your answer from part (a) for x (rounded to four digits after the decimal). X = + y Do you get the least-squares equation of part (b) with the symbols x and y exchanged? O Yes No
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