A data set is given below. (a) Draw a scatter diagram. Comment on the type of relation that appears to exist between x and y. (b) Given that x=3.6667, sx=2.3381, y=4.5833, sy=1.6376, and r=−0.9315, determine the least-squares regression line. (c) Graph the least-squares regression line on the scatter diagram drawn in part (a). x 1 1 3 5 6 6 y 5.4 6.8 5.8 3.6 2.8 3.1
A data set is given below. (a) Draw a scatter diagram. Comment on the type of relation that appears to exist between x and y. (b) Given that x=3.6667, sx=2.3381, y=4.5833, sy=1.6376, and r=−0.9315, determine the least-squares regression line. (c) Graph the least-squares regression line on the scatter diagram drawn in part (a). x 1 1 3 5 6 6 y 5.4 6.8 5.8 3.6 2.8 3.1
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
Related questions
Question
A data set is given below.
(a) Draw a scatter diagram . Comment on the type of relation that appears to exist between x and y.
(b) Given that
x=3.6667,
sx=2.3381,
y=4.5833,
sy=1.6376,
and
r=−0.9315,
determine the least-squares regression line.(c) Graph the least-squares regression line on the scatter diagram drawn in part (a).
x
|
1
|
1
|
3
|
5
|
6
|
6
|
|
---|---|---|---|---|---|---|---|
y
|
5.4
|
6.8
|
5.8
|
3.6
|
2.8
|
3.1
|
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