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 = 3.8333, sx = 2.0412, y = 3.8833, s, = 1.5651, and r= -0.9338, determine the least-squares regression line. (c) Graph the least-squares regression line on the scatter diagram drawn in part (a). X y 1 2 4 4 6 6 5.2 5.8 4.5 3.6 2.0 2.2

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 = 3.8333, sx = 2.0412, y = 3.8833, sy = 1.5651, and r= -0.9338, determine the least-squares regression line.
(c) Graph the least-squares regression line on the scatter diagram drawn in part (a).
X
y
O A.
1 2 4 4 6
5.2 5.8 4.5 3.6 2.0
(a) Choose the correct graph below.
Q
6 6
2.2
D
There appears to be a linear, negative relationship.
(b) y = x + (
(Round to three decimal places as needed.)
B.
6-
0
Y
←
O C.
6-
0
..
O D.
Ay
67
0-
Transcribed Image Text: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 = 3.8333, sx = 2.0412, y = 3.8833, sy = 1.5651, and r= -0.9338, determine the least-squares regression line. (c) Graph the least-squares regression line on the scatter diagram drawn in part (a). X y O A. 1 2 4 4 6 5.2 5.8 4.5 3.6 2.0 (a) Choose the correct graph below. Q 6 6 2.2 D There appears to be a linear, negative relationship. (b) y = x + ( (Round to three decimal places as needed.) B. 6- 0 Y ← O C. 6- 0 .. O D. Ay 67 0-
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