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.   The linear correlation coefficient is r= _____ ​(Round to three decimal places as​ needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 11PPS
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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.
 
The linear correlation coefficient is
r= _____
​(Round to three decimal places as​ needed.)
Use the given data set to complete parts (a) through (c) below. (Use a = 0.05.)
10
8
13
9
11
14
6
4
12
7
y
9.14
8.14
8.75
8.77
9.26
8.09
6.13
3.09
9.13
7.25
4.74
Click here to view a table of critical values for the correlation coefficient.
a. Construct a scatterplot. Choose the correct graph below.
OA.
OB.
Oc.
OD.
O D.
Ay
10-
Ay
10-
Av
Ay
10-
10-
8-
8-
8-
8-
6-
6-
6-
6-
........
4-
4-
4-
4-
...
2-
2-
2-
.. ......
2-
0-
4
0-
0-
0-
4
8
12 16
8
12 16
4
8
12 16
4
8
12 16
Transcribed Image Text:Use the given data set to complete parts (a) through (c) below. (Use a = 0.05.) 10 8 13 9 11 14 6 4 12 7 y 9.14 8.14 8.75 8.77 9.26 8.09 6.13 3.09 9.13 7.25 4.74 Click here to view a table of critical values for the correlation coefficient. a. Construct a scatterplot. Choose the correct graph below. OA. OB. Oc. OD. O D. Ay 10- Ay 10- Av Ay 10- 10- 8- 8- 8- 8- 6- 6- 6- 6- ........ 4- 4- 4- 4- ... 2- 2- 2- .. ...... 2- 0- 4 0- 0- 0- 4 8 12 16 8 12 16 4 8 12 16 4 8 12 16
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