Use the given data set to complete parts​ (a) through​ (c) below.​ (Use alphaαequals=​0.05.)   x 10 8 13 9 11 14 6 4 12 7 5   y 7.45 6.76 12.74 7.11 7.82 8.84 6.09 5.39 8.15 6.43 5.72   a. Construct a scatterplot. Choose the correct graph 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.   The linear correlation coefficient is requals=nothing. ​(Round to three decimal places as​ needed.) Using the linear correlation coefficient found in the previous​ step, determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables. Choose the correct answer below.     A. There is insufficientinsufficient evidence to support the claim of a nonlinear correlation between the two variables.   B. There is sufficientsufficient evidence to support the claim of a nonlinear correlation between the two variables.   C. There is sufficientsufficient evidence to support the claim of a linear correlation between the two variables.   D. There is insufficientinsufficient evidence to support the claim of a linear correlation between the two variables. c. Identify the feature of the data that would be missed if part​ (b) was completed without constructing the scatterplot. Choose the correct answer below.     A. The scatterplot reveals a perfect​ straight-line pattern and does not contain any outliers.   B. The scatterplot reveals a perfect​ straight-line pattern, except for the presence of one outlier.   C. The scatterplot does not reveal a perfect​ straight-line pattern, and contains one outlier.   D. The scatterplot does not reveal a perfect​ straight-line pattern.

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Use the given data set to complete parts​ (a) through​ (c) below.​ (Use
alphaαequals=​0.05.)
 
x
10
8
13
9
11
14
6
4
12
7
5
 
y
7.45
6.76
12.74
7.11
7.82
8.84
6.09
5.39
8.15
6.43
5.72
 

a. Construct a scatterplot. Choose the correct graph

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.
 
The linear correlation coefficient is
requals=nothing.
​(Round to three decimal places as​ needed.)
Using the linear correlation coefficient found in the previous​ step, determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables. Choose the correct answer below.
 
 
A.
There is
insufficientinsufficient
evidence to support the claim of a nonlinear correlation between the two variables.
 
B.
There is
sufficientsufficient
evidence to support the claim of a nonlinear correlation between the two variables.
 
C.
There is
sufficientsufficient
evidence to support the claim of a linear correlation between the two variables.
 
D.
There is
insufficientinsufficient
evidence to support the claim of a linear correlation between the two variables.
c. Identify the feature of the data that would be missed if part​ (b) was completed without constructing the scatterplot. Choose the correct answer below.
 
 
A.
The scatterplot reveals a perfect​ straight-line pattern and does not contain any outliers.
 
B.
The scatterplot reveals a perfect​ straight-line pattern, except for the presence of one outlier.
 
C.
The scatterplot does not reveal a perfect​ straight-line pattern, and contains one outlier.
 
D.
The scatterplot does not reveal a perfect​ straight-line pattern.

 

 

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