(a) Suppose you are given the following (x, y) data pairs. X 1 2 6 y 4 3 6 USE SALT Find the least-squares equation for these data. (Round your numerical values to four decimal places.) ŷ=1.9048+ 1.1429x (b) Now suppose you are given these (x, y) data pairs. X 4 3 y 1 2 9 6 Find the least-squares equation for these data. (Round your numerical values to four decimal places.) = −1.129 +0.7742x (c) In the data for parts (a) and (b), did we simply exchange the x and y values of each data pair? Yes O No (d) Solve your answer from part (a) for x. (Use yhat for ŷ. Round your numerical values to four decimal places.) x = X Check which variable(s)/term(s) should be in your equation.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section: Chapter Questions
Problem 18T
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(a) Suppose you are given the following (x, y) data pairs.
X
1
2
6
y
4
3
6
USE SALT
Find the least-squares equation for these data. (Round your numerical values to four decimal places.)
ŷ=1.9048+ 1.1429x
(b) Now suppose you are given these (x, y) data pairs.
X
4
3
y 1 2
9
6
Find the least-squares equation for these data. (Round your numerical values to four decimal places.)
=
−1.129 +0.7742x
(c) In the data for parts (a) and (b), did we simply exchange the x and y values of each data pair?
Yes
O No
(d) Solve your answer from part (a) for x. (Use yhat for ŷ. Round your numerical values to four decimal places.)
x =
X
Check which variable(s)/term(s) should be in your equation.
Transcribed Image Text:(a) Suppose you are given the following (x, y) data pairs. X 1 2 6 y 4 3 6 USE SALT Find the least-squares equation for these data. (Round your numerical values to four decimal places.) ŷ=1.9048+ 1.1429x (b) Now suppose you are given these (x, y) data pairs. X 4 3 y 1 2 9 6 Find the least-squares equation for these data. (Round your numerical values to four decimal places.) = −1.129 +0.7742x (c) In the data for parts (a) and (b), did we simply exchange the x and y values of each data pair? Yes O No (d) Solve your answer from part (a) for x. (Use yhat for ŷ. Round your numerical values to four decimal places.) x = X Check which variable(s)/term(s) should be in your equation.
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