Answered: Consider the following: (a) Suppose…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Question

Consider the following:

(a) Suppose you are given the following x, y data pairs.

x	5	4	6
y	1	5	8

Find the least-squares equation for these data. (Use 3 decimal places.)

+ x

(b) Now suppose you are given these x, y data pairs.

x	1	5	8
y	5	4	6

Find the least-squares equation for these data. (Use 3 decimal places.)

y hat =

+ x

(c) In the data for parts (a) and (b), did we simply exchange the x and y values of each data pair?

(d) Solve your answer from part (a) for x. (Use 3 decimal places.)

x =

+ y

Do you get the least-squares equation of part (b) with the symbols x and y exchanged?
Yes or No?

(e) In general, suppose we have the least-squares equation y = a + bx for a set of data pairs x, y. If we solve this equation for x, will we necessarily get the least-squares equation for the set of data pairs y, x, (with x and y exchanged)? Explain using parts (a) through (d).

Switching x and y values will produce the same least-squares equation every time.Switching x and y values will never produce the same least-squares equation every time. Switching x and y values will not necessarily produce the same least-squares equation every time.

Expert Solution