Use the given data set to complete parts (a) through (c) below. (Use a = 0.05.) 8 8.13 X y 8+ 6- 4- 2- 0- 10 9.14 0 Click here to view a table of critical values for the correlation coefficient. · 4 • + ● 13 8.74 8 12 16 84 6- 4. 2 0- 0 9 8.78 The linear correlation coefficient is r = 0.814 (Round to three decimal places as needed.) ********* 12 8 4 11 9.25 16 G 14 8.11 *** A 84 6- 4- 2- 0- 0 6 6.14 0000 12 16 8 4 4 3.11 Q. 12 9.14 8- 6- 4- 2- 10+ 0 7 7.26 00000 4 8 12 16 5 4.75 b. Find the linear correlation coefficient, r, then determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables. 4

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 8E
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Question
Use the given data set to complete parts (a) through (c) below. (Use α = 0.05.)
13
8.74
X
y
8+
6-
4-
2-
0-
10
9.14
0
Click here to view a table of critical values for the correlation coefficient.
H
10
•
8
8.13
T
x
4 8 12 16
Q
5
84
6-
4-
2-
0-
0
9
8.78
The linear correlation coefficient is r = 0.814
(Round to three decimal places as needed.)
*********
11
9.25
4 8 12 16
14
8.11
***
6
6.14
84
6-
4-
2-
0-
>
0 4 8 12 16
00000
4
3.11
G
12
9.14
8-
6-
4
2-
0-
•
7
7.26
20
4
0
X
8 12 16
Q
G
5
4.75
b. Find the linear correlation coefficient, r, then determine whether there is sufficient evidence to support the claim of a linear correlation between the two
variables.
h
D
Transcribed Image Text:Use the given data set to complete parts (a) through (c) below. (Use α = 0.05.) 13 8.74 X y 8+ 6- 4- 2- 0- 10 9.14 0 Click here to view a table of critical values for the correlation coefficient. H 10 • 8 8.13 T x 4 8 12 16 Q 5 84 6- 4- 2- 0- 0 9 8.78 The linear correlation coefficient is r = 0.814 (Round to three decimal places as needed.) ********* 11 9.25 4 8 12 16 14 8.11 *** 6 6.14 84 6- 4- 2- 0- > 0 4 8 12 16 00000 4 3.11 G 12 9.14 8- 6- 4 2- 0- • 7 7.26 20 4 0 X 8 12 16 Q G 5 4.75 b. Find the linear correlation coefficient, r, then determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables. h D
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