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, s, = 2.2509, y = 4.3167, s, = 1.7140, and r= - 0.9418, determine the least-squares regression line. (c) Graph the least-squares regression line on the scatter diagram drawn in part (a). 1 4 4 6 6 y 5.4 6.8 4.8 4.0 2.3 2.6 (a) Choose the correct graph below. O A. VB. Oc. OD. Ay 7- Ay Ay Ay 7- 0- 0- 0+ There appears to be a linear, negative relationship. (b) y =x+ (O) (Round to three decimal places as needed.)
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, s, = 2.2509, y = 4.3167, s, = 1.7140, and r= - 0.9418, determine the least-squares regression line. (c) Graph the least-squares regression line on the scatter diagram drawn in part (a). 1 4 4 6 6 y 5.4 6.8 4.8 4.0 2.3 2.6 (a) Choose the correct graph below. O A. VB. Oc. OD. Ay 7- Ay Ay Ay 7- 0- 0- 0+ There appears to be a linear, negative relationship. (b) y =x+ (O) (Round to three decimal places as needed.)
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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answer last two questions. first is done already.
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 overbar
equals3.6667
,
s Subscript x
equals2.2509
,
y overbar
equals4.3167
,
s Subscript y
equals1.7140
,
and
requals
negative 0.9418
,
determine the least-squares regression line.(c) Graph the least-squares regression line on the scatter diagram drawn in part (a).
|
x
|
1
|
|---|
1
4
4
6
6
|
|
|
|
y
|
5.4
|
|---|
6.8
4.8
4.0
2.3
2.6
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 = 3.6667, s = 2.2509, y = 4.3167, s, = 1.7140, and r= - 0.9418, determine the least-squares regression line.
(c) Graph the least-squares regression line on the scatter diagram drawn in part (a).
1
1
4
4
6.
6.
5.4 6.8 4.8 4.0 2.3 2.6
...
(a) Choose the correct graph below.
A.
D.
Ay
7-
Ay
7-
7-
7-
0-
0-
0-
0-
6.
6.
There appears to be a linear, negative relationship.
(b) y = x+
(O
(Round to three decimal places as needed.)
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