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
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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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