Use the given data set to complete parts​ (a) through​ (c) below.​ (Use α=​0.05.)   x 10 8 13 9 11 14 6 4 12 7 5   y 9.14 8.14 8.74 8.78 9.26 8.11 6.12

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Chapter1: Starting With Matlab
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Use the given data set to complete parts​ (a) through​ (c) below.​ (Use
α=​0.05.)
 
x
10
8
13
9
11
14
6
4
12
7
5
 
y
9.14
8.14
8.74
8.78
9.26
8.11
6.12
3.11
9.12
7.26
4.73
 
 
 
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Click here to view a table of critical values for the correlation coefficient.
 
 
 
a. Construct a scatterplot. Choose the correct graph below.
 
 
A.
 
 
 
04812160246810xy
 
  •  
  •  
  •  
A scatterplot has a horizontal x-scale from 0 to 16 in increments of 2 and a vertical y-scale from 0 to 10 in increments of 1. Eleven points strictly follow the pattern of a line passing through the points (4, 6) and (14, 1). All coordinates are approximate.
 
B.
 
 
 
04812160246810xy
 
  •  
  •  
  •  
A scatterplot has a horizontal x-scale from 0 to 16 in increments of 2 and a vertical y-scale from 0 to 10 in increments of 1. Eleven points strictly follow the pattern of a curve that rises from left to right passing through the points (4, 3.2) and (7, 7.2) to a peak at (11, 9.2) and then falls to (14, 8.2). All coordinates are approximate.
Your answer is correct.
 
C.
 
 
 
04812160246810xy
 
  •  
  •  
  •  
A scatterplot has a horizontal x-scale from 0 to 16 in increments of 2 and a vertical y-scale from 0 to 10 in increments of 1. Eleven points strictly follow the pattern of a curve that rises from left to right passing through the point is (4, 1), (8, 2.4), and (14, 8). All coordinates are approximate.
 
D.
 
 
 
04812160246810xy
 
  •  
  •  
  •  
A scatterplot has a horizontal x-scale from 0 to 16 in increments of 2 and a vertical y-scale from 0 to 10 in increments of 1. Eleven points strictly follow the pattern of a line passing through the points (4, 2) and (14, 7). All coordinates are approximate.
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
r=0.8170.817.
​(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
sufficient
evidence to support the claim of a linear correlation between the two variables.
Your answer is correct.
 
B.
There is
insufficient
evidence to support the claim of a nonlinear correlation between the two variables.
 
C.
There is
sufficient
evidence to support the claim of a nonlinear correlation between the two variables.
 
D.
There is
insufficient
evidence to support the claim of a linear correlation between the two variables.
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